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Calculus 1
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Explain how the following graphs are obtained from the graph of y=f(x). (Select all that apply.)
(d) y= -2f(x) shift 2 units
4 answers
asked by
TayB
6,473 views
If you have 280 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest
5 answers
asked by
D
10,106 views
find an expression for a cubic function f if f(1)=6 and f(-1)=f(0)=f(2)=0
5 answers
asked by
Lorena
13,982 views
A ball is thrown vertically upward from ground level with initial velocity of 96 feet per second. Assume the acceleration of the
5 answers
asked by
Bobby
5,994 views
sand is being poured onto the ground forming a conical pile whose height equals 1/4 of the diameter of the base. The sand is
4 answers
asked by
Khan
4,873 views
(1 point) Write an expression for the function, f(x), with the properties. f′(x)=(ln(x)2)/x and f(3)=7.
f(x)=∫t=b t=a
4 answers
asked by
Jenna
2,773 views
Explain how the following graphs are obtained from the graph of y=f(x). (Select all that apply.)
(a) y=7f(x) shifts 7 units
4 answers
asked by
TayB
2,520 views
You have 4L feet of fence to make a rectangular vegetable garden alongside the wall of your house, where L is a positive
5 answers
asked by
Grant
2,967 views
Use logarithmic differentiation to find the derivative of the function.
y =sqrt(x)^3x
4 answers
asked by
TayB
2,370 views
The number of yeast cells in a laboratory culture increases rapidly initially but levels off eventually. The population is
5 answers
asked by
TayB
7,800 views
Consider the following.
B(x) = 3x^(2/3) − x (a) Find the interval of increase.(Enter your answer using interval notation.) Find
7 answers
asked by
TayB
6,259 views
On the graph of f(x) = 8*sin(3pi*x), points P and Q are at consecutive lowest and highest points with P occurring before Q. Find
3 answers
asked by
Joshua
1,066 views
Evaluate the difference quotient for the given function. Simplify your answer.
f(x) = 1+2x− x^2, (f(4+h)-f(4))/h
4 answers
asked by
TayB
2,181 views
The curve with the equation y^2=5x^4-x^2 is called a kampyle of Eudoxus. Find an equation of the tangent line to this curve at
7 answers
asked by
TayB
3,192 views
If 5x^2+5x+xy=2 and y(2)= -14 find y'(2) by implicit differentiation
4 answers
asked by
Peopsh8
4,361 views
I'm asked to find max and min of: L(t)=12+2.8sin((2pi/365)(t-80).
I find the derivative as:
3 answers
asked by
Leo
1,258 views
Given f(x)= 3e^(1-x^2)*ln(x), find the equation of the tangent line at x = 1.
3 answers
asked by
Ben
665 views
Use logarithmic differentiation to find the derivative of the following equation.
y = (2x+1)^5(x^4−3)^6
5 answers
asked by
TayB
2,910 views
If two resistors with resistances R1 and R2 are connected in parallel, as in the figure below, then the total resistance R,
4 answers
asked by
TayB
1,112 views
Related Rates Problem: Two cars start moving from the same point. One travels south at 40 mi/h and the other travels west at 30
3 answers
asked by
TayB
1,364 views
Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a
4 answers
asked by
TayB
13,142 views
A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral
7 answers
asked by
TayB
3,356 views
You have 8L feet of fence to make a rectangular vegetable garden alongside the wall of your house, where L is a positive
4 answers
asked by
Sofia
3,861 views
Evaluate and compare Change in Y and Change in dy.
Y = 1-2X^2
1 answer
asked by
Sarah
213 views
14. The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $380 to drive
3 answers
asked by
Syed
1,406 views
A street light is at the top of a 19 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a
2 answers
asked by
Anonymous
940 views
Water is leaking out of an inverted conical tank at a rate of 13200.0 cubic centimeters per min at the same time that water is
1 answer
asked by
Anonymous
442 views
A particle is moving along the curve y= 4 \sqrt{3 x + 1}. As the particle passes through the point (1, 8), its x-coordinate
1 answer
asked by
Anonymous
641 views
Find the equlibrium point for each pair demand and supply function.
Demand:q = 8800-30x; supply:q = 7000+ 15x
1 answer
asked by
Blake
435 views
According to Ohm's law, the voltage V, current I, and resistance R in a circuit are related by the equation V=IR, where the
1 answer
asked by
Bill
813 views
find the area of the largest posible isosceles triangle with 2 sides equal to 6. thanks
5 answers
asked by
Oswaldo
367 views
Calculate f'(-1)
f(x) = x^7 * h(x) h(-1) = 5 h'(-1) = 8 Answer is 27, but I got no idea how to get there.
4 answers
asked by
Ivan
423 views
How do you find dy/dx by implicit differentiation?
x^3 + y^5 = 1
1 answer
asked by
Anonymous
372 views
Find the most general antiderivative of the function. Use C for any needed constant.
f(u) = (u^4 + 7 sqrt(u)) / u^2 F(u) =
2 answers
asked by
Zack
1,235 views
Find dy/dx by implicit differentiation.
X^2 + y^2 = tan(xy)
1 answer
asked by
Amy
471 views
Evaluate the definite integral: (dx/(x(1+ln(x))) from 1 to e^7.
1 answer
asked by
Back against the wall
332 views
Find the critical numbers of the function.
f(x) = x^4*e^-8x
5 answers
asked by
Tina P
1,629 views
A ladder 10ft long rests against a vertical wall. If the bottom on the ladder slides away from the wall at 2 ft/s, how fast is
4 answers
asked by
Tina P
968 views
Given y = x^4 − 4x^2 + 50. Find any extrema and any points of inflection
1 answer
asked by
Dan
285 views
Could you please explain how to find the slope using the definition of derivative of the function y=2*sqrt(x)
2 answers
asked by
Em
537 views
Find f' if x power 7 + y power 7 = 8xy
3 answers
asked by
Abhi
924 views
find the point on the graph of y=x^2 where the tangent line is parallel to the line 2x-y=2
3 answers
asked by
Chris
361 views
A given figure shows a rectangle inscribed in an isoceles right triangle whose hypotenuse is 18 units long. Express the y
1 answer
asked by
Anonymous
729 views
Let f be the function given by f(x)=3sqrt(x-2).
A) On the axes provided sketch graph of f and shade the region R enclosed by the
1 answer
asked by
Michael
656 views
A fence is to be built to enclose a rectangular area of 220 square feet. The fence along three sides is to be made of material
3 answers
asked by
Olivia
11,792 views
Use Newton's method to approximate the root of the equation x^3+x+2=0 with initial guess x1=-1 gives:
1 answer
asked by
Olivia
418 views
Use the fundamental theorem of calculus to find the area bounded by f(x)=3 square root of x+2x and the x-axis between x-=0 and
1 answer
asked by
Ihg
444 views
Use definition to find the area of f(x)=5x-2x^3 on interval [6, -6]with four sample right side
1 answer
asked by
Khoa
339 views
Francis starts walking north at 4 ft/s from an intersection I. At the same time Aram starts walking south at a
rate of 5 ft/s
1 answer
asked by
Kristine
436 views
A rectangular field is enclosed by a fence and separated into two parts by a fence parallel to one of the sides. If 600 m of
3 answers
asked by
Jasmine
599 views
A 10m ladder leans against a wall at an angle theta with the horizontal. The top of the ladder is x metres above the ground. If
1 answer
asked by
Yain
470 views
Evaluate the following limits after identifying the indeterminate form. Use Hospital's rule.
d) lim x_0+ (xe^(2x) + 1)^(5/x) e)
2 answers
asked by
Tommy
906 views
Find constants a and b in the equation f(x)= ax^b/(ln(x)) such that f(1/3)= 1 and the function has a local minimum at x= 1/3
1 answer
asked by
TJ
310 views
Derivative of 7^(SinX)... something to do with log/ln?
3 answers
asked by
Max
368 views
differentiate
f(x)=(sinˆ2x)/(cosx)
3 answers
asked by
Adam
345 views
differentiate
f(x)=(1+sinˆ2x)ˆ6
3 answers
asked by
Adam
340 views
Find the derivative of y with respect to x. y=(x^6/6)(lnx)-(x^6/36)
So far this is what I've gotten: y=(x^6/6)(lnx)-(x^6/36)
2 answers
asked by
Alex
657 views
(a) What is the continuous percent growth rate for P=130e^0.07t , with time, t , in years?
(b) Write this function in the form
2 answers
asked by
molly
1,022 views
Find the antiderivative of f(x)=5e^x-2secxtanx showing steps please
3 answers
asked by
Karen
541 views
A car comes to a stop six seconds after the driver applies the brakes. While the brakes are on, the following velocities are
1 answer
asked by
Dolores Ramirez
969 views
The velocity v(t) in the table is increasing,0<t<12 . Find an upper estimate for the total distance traveled using
(a) n=4 (b)
2 answers
asked by
Dolores Ramirez
556 views
Related Rates
I am having trouble finding the equation to use to fit this all together. At noon, ship A is 100km west of ship B.
2 answers
asked by
Juan
558 views
Related Rates
I am having trouble finding the equation to use to fit this all together. At noon, ship A is 100km west of ship B.
1 answer
asked by
Juan
440 views
Related Rates
I am having trouble finding the equation to use to fit this all together. At noon, ship A is 100km west of ship B.
1 answer
asked by
Juan
439 views
Related Rates
I am having trouble finding the equation to use to fit this all together. At noon, ship A is 100km west of ship B.
1 answer
asked by
Juan
512 views
Related Rates
I am having trouble finding the equation to use to fit this all together. At noon, ship A is 100km west of ship B.
2 answers
asked by
Juan
538 views
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the
2 answers
asked by
Brianna
619 views
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the
1 answer
asked by
Brianna
496 views
Find all the points on the ellipse 3x^2-xy+y^2=64 that lie on the line y=3x
1 answer
asked by
JAYZ
409 views
a rectangular storage area is to be constructed along the sides of a tall building. A security fence is required along the three
5 answers
asked by
Ally
1,037 views
A spherical snowball melts in such a way that its surface area decreases at a rate of 1 cm2/min. Find the rate at which its
2 answers
asked by
Celia
910 views
A right triangle has a fixed base of length 6 meters and a height that is increasing at a rate of 2
meters/second. At what rate
4 answers
asked by
Ben
1,452 views
The mass, M, of a child can be approximated based on the height, H, of the child. The height of the child can be projected based
2 answers
asked by
Anonymous
517 views
The resistance of blood flow, R, in a blood vessel is dependent on the length of the blood
vessel, the radius of the blood
1 answer
asked by
Anonymous
627 views
The resistance of blood flow, R, in a blood vessel is dependent on the length of the blood
vessel, the radius of the blood
1 answer
asked by
Anonymous
637 views
A woman at a point A on the shore of a circular lake with radius r=4 wants to arrive at the point C diametrically opposite A on
4 answers
asked by
Rainbows
7,427 views
Write a function that has two infinite limits at two different x-values.
Write a function where both one sided limits exist at
2 answers
asked by
Roger
480 views
Find an equation of the tangent line to the curve
y = 6/(1+e^−x)at the point (0,3).
4 answers
asked by
TayB
865 views
The curve y =|x|/(sqrt(5−x^2))
is called a bullet-nose curve. Find an equation of the tangent line to this curve at the point
3 answers
asked by
TayB
776 views
Find an equation of the tangent line to the curve at the given point.
y =(1+2x)^12, (0,1)
2 answers
asked by
TayB
601 views
Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
x^2+y^2=(2x^2+4y^2−x)^2
2 answers
asked by
TayB
802 views
If f(x)=3 sin x+ln(5x), find f '(x).
3 answers
asked by
TayB
1,420 views
Use logarithmic differentiation to find the derivative of the function.
y = x^(8cosx)
3 answers
asked by
TayB
2,278 views
Find the derivative of the function.
F(t) = e^(4t sin 2t)
4 answers
asked by
TayB
1,596 views
Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the
1 answer
asked by
TayB
869 views
Water is leaking out of an inverted conical tank at a rate of 12,000 cm3/min at the same time that water is being pumped into
1 answer
asked by
TayB
642 views
If two resistors with resistances R1 and R2 are connected in parallel, as in the figure below, then the total resistance R,
5 answers
asked by
TayB
6,461 views
How do you find the derivative of 1/3(x^2+2)^3/2 ? Please help
1 answer
asked by
Danny
331 views
True or false. Explain.
The line x=1 is a vertical asymptote of f(x)=(x^2+x-2)/(x^2-1)
2 answers
asked by
TayB
694 views
The height (in meters) of a projectile shot vertically upward from a point 3 m above ground level with an initial velocity of
3 answers
asked by
Laurel
1,233 views
Find the volume of the solid obtained by rotating the region under the graph of the function f(x)=2x+1 about the x-axis over the
2 answers
asked by
Luke
895 views
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 32 ft, express the
2 answers
asked by
TayB
1,156 views
A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 18 in. by 30 in. by cutting
4 answers
asked by
TayB
4,260 views
Find an expression for a cubic function f if f(1)=8 and f(-1)=f(0)=f(2)=0
3 answers
asked by
TayB
799 views
Find f o g o h.
f(x) = x + 9, g(x) = 3x, h(x) = x − 5
4 answers
asked by
TayB
614 views
A variable star is one whose brightness alternately increases and decreases. For one such star, the time between periods of
4 answers
asked by
TayB
2,999 views
Use a graph to estimate the values of x such that e^x > 1,000,000,000
1 answer
asked by
TayB
433 views
Find the exact value of each expression.
(a) tan(sec^−1 5) (b) sin(2sin^-1(5/13))
3 answers
asked by
TayB
581 views
Find the exact value of each expression.
(a) cot^-1(sqrt(3))
4 answers
asked by
TayB
720 views
simplify the expression.
cos(2 tan^-1 x)
3 answers
asked by
TayB
1,337 views
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