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The general solution to the differential equation dy/dx=xy is y=Β±β(x^2+C). Let y=f(x) be the particular solution to the
4 answers
asked by
Carrie
5,978 views
If f(x) = sqrt x + 3/sqrt x, then fβ(4) =
5 answers
asked by
John
10,596 views
If yβ²= x(1+ y) and y > -1 , then y =
The differential equation dy/dx=y/x^2 has a solution given by:
5 answers
asked by
AP Study Question
1,587 views
A point moves along the curve y= x^3 -3x + 5 so that x= 1/2 square root t + 3 where t is the time. At what rate is y changing
4 answers
asked by
Elizabeth
2,782 views
Write the composite function in the form f(g(x)). [Identify the inner function
u = g(x) and the outer function y = f(u).] (Use
6 answers
asked by
Lillian
13,917 views
A population of 1200 badgers grow by 6% every 8 years. How long does it take the population of badgers to grow 2000?
4 answers
asked by
Gary
2,217 views
A certain cylindrical tank holds 20,000 gallons of water, which can be drained from the bottom of the tank in 20 minutes. The
4 answers
asked by
Nick
1,721 views
Find d^5/dx^5 g(x) for g(x)=sinx+5x^4
A. cos x B. sin x + 120 C. -cos x +20x^3 D. -cos x + 120 x E. sin x
4 answers
asked by
Stephanie
1,489 views
For an object whose velocity in ft/sec is given by v(t) = -3t2 + 5, what is its displacement, in feet, on the interval t = 0 to
4 answers
asked by
Craig
4,021 views
A street light is mounted at the top of a 6 meter tall pole. A man 2m tall walks away from the top with a speed of 1.5 m/s along
5 answers
asked by
Erich
2,943 views
Two buses are driving along parallel freeways that are 5mi apart, one heading east and the other heading west. Assuming that
4 answers
asked by
Maya
2,061 views
Use midpoints to approximate the area under the curve (see link) on the interval [0,1] using 10 equal subdivisions.
imagizer.imag
7 answers
asked by
Erik
4,484 views
A farmer wants to divide his 2700 km2 of land into two separate pastures for his new horses by building a fence that will
5 answers
asked by
Mariam
1,521 views
The function f is continuous on the interval [4, 15], with some of its values given in the table above. Estimate the average
4 answers
asked by
Jimmy
1,669 views
Suppose that f is a differentiable function with derivative
π'(π₯) = (π₯ β 3)(π₯ + 1)(π₯ + 5). Determine the
4 answers
asked by
Anna
1,628 views
The curve has tangent at the point P(-1,-2) find they gradient of this tangent at point P
4 answers
asked by
Krystyna
788 views
a solid has as its base the region bounded by the curves y = -2x^2 +2 and y = -x^2 +1. Find the volume of the solid if every
4 answers
asked by
James
2,447 views
Explain why or why not:
1. if f'(c)=0, then f has a local maximum or minimum at c. 2. if f''(c)=0, then f has an inflection point
5 answers
asked by
MathGirl
4,913 views
Use your graphing calculator to evaluate to three decimal places the value of β« 0.5 to 3 ((sinx)/x)dx.
I donβt have a
6 answers
asked by
Emily
1,732 views
Write the first five terms of the sequence defined by the explicit formula an=150(1/5)^n-1
5 answers
asked by
Lexi
2,275 views
A rancher wants to construct two identical rectangular corrals using 300 feet of fencing. The Ranger decides to build them
5 answers
asked by
Rick
2,841 views
I need some help with this Calculus problem.
A bacteria population starts with 500 bacteria and grows at a rate of r(t) =
5 answers
asked by
James
1,749 views
The function g(x)=12x^2-sinx is the first derivative of f(x). If f(0)=-2, what is the value of f(2pi)?
a)30pi+2 b)8pi^2-2
4 answers
asked by
Jillian
1,765 views
A builder intends to construct a storage shed having a volume of 1000 cubic feet, a flat roof and a rectangular base whose width
4 answers
asked by
John
1,405 views
The base of a rectangular box is to be twice as long as it is wide. The volume of the box is 256 cubic inches. The material for
4 answers
asked by
Ab
2,634 views
A rectangle is to be inscribed under the curve y=4cos(.5x). The rectangle is to be inscribed from x=0 to x=pi. Find the
4 answers
asked by
Will
2,344 views
A function has fββ(x) = 10 and has fβ(4) = 0 and f(2) = 4. Find f(x)
4 answers
asked by
Dylan
1,170 views
1. The function is continuous on the interval [10, 20] with some of its values given in the table above. Estimate the average
3 answers
asked by
Justin
3,973 views
5. Once Tony reached the hospital, he is carried on a stretcher through the corridors to the emergency area. Two corridors meet
4 answers
asked by
Raj
669 views
If the position function in feet for a free-falling particle on Planet X is s(t)= -8t^2 +16 + 64, what is the velocity of the
4 answers
asked by
hhhhh
612 views
From each corner of a square of tin, 12 cm on a side, small squares of side x are removed and the edges are turned up to form an
3 answers
asked by
jayden
552 views
I would like to know if my answers are correct:
Disclaimer: We are allowed to keep our answers in formula form 1. Use the washer
6 answers
asked by
Daisy
700 views
I would like to make sure my answer is correct:
Question: the base of a solid is the triangular region with the vertices (0,0),
3 answers
asked by
Rose
426 views
Consider the function f(x) = -3x+2. Notice the limit of f(x) as x approaches 1 is -1. Find a value for delta such that is the
1 answer
asked by
Jeff
355 views
Find inverse equation of
y= 3e^(x-1)^5 Answer I got is (ln(x/3))^(1/5) +5 =y But I think it's wrong because the domain and range
1 answer
asked by
Po
319 views
Can you please check to see if these answers are correct? I have provided my work as well! That you! This is much appreciated!!
1
3 answers
asked by
Daisy
614 views
Find all the values of (x) in the interval [0, 2Pi], such that sec^2 (x) = 4
1 answer
asked by
Severin
392 views
Compute F'(-4) where F(x) = x^3 + X^2 (using the definition of the derivative)
2 answers
asked by
Justine
523 views
Find two non-intersecting intervals where f(x) +12x^4 + 50x^3 + 80x^2-100 has at least one root. Justify your answer.
1 answer
asked by
MArc
360 views
Knowing that Pi/2 < x < Pi
and that 0<y< Pi/2 that sinx = 1/5 and that cos y = 1/8, find sin (x+y), sin (x-y), cos (x+y) and cos
1 answer
asked by
MArc
347 views
I am having trouble with this question and I am unsure how to solve it...
True or False (with justification) The function sin(x)
1 answer
asked by
Emily
416 views
True or False,... Im confused
If the continuous function f(x) has a domain (-β, +β), then either lim --> β exists, or limit
2 answers
asked by
LJ
508 views
Write an expanded polynomial equation based on the following information. A cubic function with a zero x=3 (with multiplicity
2 answers
asked by
Jay
530 views
Let F(x) = (x+1) / (x^2-16).
Use the definition of the derivative to compute f'(x) and give its domain. Show all steps.
3 answers
asked by
jaime
601 views
Comute f(x) of
a) f(x) = sinxcosx / sinx + cosx b) f(x) = (1-x^2) / (1+x+x^2) c) f(x) = x^7 secx
3 answers
asked by
Jessi
408 views
My question is with a multi-part homework assignment that we got in class. The information given is :
A factory manufactures
2 answers
asked by
Noah
574 views
Show that there are at least two values of x
in the interval (βΟ,Ο) such that x=1+sin(x)
1 answer
asked by
Larin
344 views
Differentiate each
1. Y= 1/x + 3/x^2 + 2/x^3 2. Y= x^5(1+ x)^5 3. Y= 4-x^2 / 2x+3 Can someone help me I'm lost
1 answer
asked by
Elizabeth
276 views
A rectangle trough is 8 meters long, 2 meters across at the top, and 4 meters deep. If water flows in at the rate of 2 cubic
3 answers
asked by
Bella
652 views
Solve the inequality |5+(2/x)|<1
solution is (-1/2,-1/3).
1 answer
asked by
Larin
268 views
If yβ²= x(1+ y) and y > -1 , then y =
The differential equation dy/dx=y/x^2 has a solution given by:
1 answer
asked by
AP Study Question
324 views
Find the area of a function using integrals that equals .5 (can range from .499 to .504)
There has to be three regions for the
1 answer
asked by
Samantha K.
417 views
two sides of a triangle have lengths 15 m and 20 m. the angle between them is increasing at a rate of pi/90 rad/s. At what rate
3 answers
asked by
Lomomoyan
860 views
If an arrow is shot upward on Mars with a speed of 54 m/s, its height in meters t seconds later is given by
y = 54t β 1.86t2
4 answers
asked by
Hector
6,560 views
Given the graph of f'(x) with f(x) continuous on all reals, find the intervals f(x) is concave up and down and find the X values
1 answer
asked by
Joshua reynolds
372 views
The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 100 mm?
2 answers
asked by
Hector
1,050 views
An upright cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the height of the
3 answers
asked by
Hector
2,180 views
Use the given graph of f to find a number Ξ΄ such that
if 0 < |x β 3| < Ξ΄ then |f(x) β 2| < 0.5. since i cannot put up the
2 answers
asked by
Angel
1,124 views
1. For f(x) = (1-x)/(1+x) and g(x) = x/(1-x), find the simplified form for f[g(x)] and state the domain?
2. Evaluate lim x -->1
1 answer
asked by
Dante
555 views
If egg yolks have a pH of 64 then what is the pH of egg whites if they are 63 times more alkaline
2 answers
asked by
Sharane
1,300 views
Suppose a player is running from first to second base 20ft/s. Find rate at which distance from home plate is changing when the
2 answers
asked by
Alfonso
799 views
For the curve given by 4x^2 +y^2 = 48 + 2xy show that dy/dx =y-4x/y-x
2 answers
asked by
Kyra
663 views
A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus, the diameter of the semicircle is equal to the
4 answers
asked by
Emily
1,469 views
A rectangular storage container with an open top is to have a volume of 10 m3. The length of its base is twice the width.
5 answers
asked by
Emily
1,871 views
A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus, the diameter of the semicircle is equal to the
3 answers
asked by
Anonymous
2,809 views
I just need help with one question.
A bacteria population starts with 500 bacteria and grows at a rate of r(t) = 548e^(6.5t)
3 answers
asked by
James
717 views
Measurements of a lakeβs width were taken at 15-foot intervals, as shown:
x= 0 15 30 45 60 75 90 105 120 f(x)= 0 15 18 20 19 23
2 answers
asked by
Michael
897 views
water drips into an upside down cone, whose diameter at the base is 10 cm , and whose height is 15 cm. If the water is dripping
4 answers
asked by
Angel
590 views
James has 6 identical boxes shaped like rectangular pyramids. The total volume of all the boxes together is 1,024.8 cubic
2 answers
asked by
Jay
496 views
The velocity of a particle at time t is v(t)=t^3. When t=0, the particle is at position x=3. Determine the location of the
4 answers
asked by
Katey
928 views
Find the derivative of [(2+x)/(x-3)]^(2/5)
I tried the power of a function rule, quotient rule, the chain rule but keep getting
3 answers
asked by
Sam
590 views
If an arrow is shot upward on Mars with a speed of 52 m/s, its height in meters t seconds later is given by
y = 52t β 1.86t2.
4 answers
asked by
Nick
1,526 views
Hello, I would like to know if you can help me with this problem the intergal of (cos (6x)+1), Iβve understood it as far as
7 answers
asked by
Kristi
397 views
A function has f''(x) = 10 and has f'(4) = 0 and f(2)= 4. Find f(x).
1 answer
asked by
Jake
286 views
Suppose the annual revenue for a company between 2000 and 2005 is approximated by
R(t) = 18t^2 + 4t + 3, where t = 0 represents
2 answers
asked by
Sarah
471 views
Consider the functions A(x, y) = x^2y + xy β 3xy^2, and B(x, y) = xe^xy β y
(a) Calculate the x derivative of A, or Ax. (b)
1 answer
asked by
Austin
377 views
Consider the functions A(x, y) = x^(2)y + xy - 3xy^(2), and B(x, y) = xe^(xy) - y
(a) Calculate the x derivative of A, or Ax. (b)
1 answer
asked by
Adam
370 views
If tangents to the curve defined by y=x^2+4 ln x are parallel to the line defined by by
y-6x+3=0, determine the points where the
2 answers
asked by
Anonymous
1,094 views
Given dy/dt=4y and y(2)=450. Find y(8).
5 answers
asked by
Reece
396 views
The rate of change of the population of a small town is dP/dt=kP, where P is the population, t is time in years and k is the
2 answers
asked by
Renee
1,145 views
The region R is bounded by the x-axis, x = 1, x = 3, and y = 1/x^3.
a.) Find the area of R. b.) Find the value of h, such that
7 answers
asked by
John (corrected info)
743 views
What is the parametrization of the line between (2,-5) (5,5)?
(2,-5)+ t (3,10) Is x= 3t +2 and y = 10t -5 correct?
1 answer
asked by
california
387 views
Use geometry to evaluate the integral from 0 to 6 of the function f of x, dx for f of x equals 3 for x less than or equal to 3
3 answers
asked by
Travis
1,579 views
Electricity is consumed between the hours of midnight (t = 0) and 6 a.m. (t = 6). Selected values of the rate of consumption are
1 answer
asked by
Kyle
606 views
A 12m tall antenna sits on top of a building. A person is standing some distance away from the building. If the angle of
2 answers
asked by
Anonymous
1,149 views
A balloon is directed over a line between two observers who are 1km apart. The angle of elevation of the balloon's gondola from
1 answer
asked by
Anonymous
431 views
Suppose fβ(x) =-36sin(6x) and fβ(0)=-5 and f(0)=-6 find f(pi/5)
2 answers
asked by
Anonymous
823 views
Write the following equation in logarithmic form
a^(4b-6)=3c+d
2 answers
asked by
Lexy
795 views
For the function:
a) integrate by hand to find the area under the curve btwn the given x-values b) verify your answer to part (a)
1 answer
asked by
Grace
383 views
d^2y/dx^2=10-3x
find dy/dx+c
1 answer
asked by
Rilwan
356 views
For an object whose velocity in ft/sec is given by v(t)=2sin(t),what is its distance,in feet, travelled on the interval t=1 to
3 answers
asked by
Erin
2,480 views
Simplify, stating any restrictions on the variables: x+1/2x^2-7x+6 - x-3/2x^2-x-3
5 answers
asked by
Jayson
564 views
Find the center of mass for a shape consisting of three quarters of the unit circle, removing the quarter in the third quadrant
2 answers
asked by
Lol
647 views
The function f(x)=(6x+1) e^4x has one critical number. Find it
I know how to solve this kind of equation; however, I never solved
4 answers
asked by
lex
1,132 views
A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides
will use heavy-duty fencing selling
3 answers
asked by
Joanna
810 views
Theβ cost, inβ dollars, to produce q units is βC(q)=8050+15q
What is the fixed cost?
2 answers
asked by
Eric
528 views
Let F of x equals the integral from 1 to 3 times x of the natural logarithm of t squared. Use your calculator to find Fβ³(1).
A.
3 answers
asked by
Justin
1,905 views
What is the area bound by the curve
y=(x^4-2)/2 and the x axis from x = 4 to x = 6 i got -3.98 is this correct
4 answers
asked by
Ryan
710 views
another one i'm stumped by
What is the area between the curves x = y and y = x^3 from -1 to y = 1 i got 0.75 for this one, am i
3 answers
asked by
Ryan
361 views
2. find the area of the region bounded by the graphs of y= x y=4 -3x and x=0
3 answers
asked by
Lisa
767 views
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