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Calculus
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Questions (17,699)
1. Let R be the region bounded by the x-axis, the graph of y=sqr(x) , and the line x=4 .
a. Find the area of the region R. b.
5 answers
asked by
naseba
10,220 views
Let f be the function satisfying f'(x)=x√(f(x)) for all real numbers x, where f(3)=25. 1. Find f''(3).
2. Write an expression
4 answers
asked by
Jess
3,893 views
Find an equation of aline that is tangent to the curve f(x)+2cos3x and whose slope is a maximum?? Pleasee help!!
4 answers
asked by
Sima
1,269 views
Verify the given linear approximation at
a = 0. Then determine the values of x for which the linear approximation is accurate to
5 answers
asked by
jedidiah
6,701 views
2. Consider the function f defined by f(x)=(e^X)cosx with domain[0,2pie] .
a. Find the absolute maximum and minimum values of
4 answers
asked by
Yoona
11,410 views
If the x-intercept of the tangentto the curve y=e^-x is increasing at a rate of 4 units per second, find the rate of change of
4 answers
asked by
Anonymous
2,295 views
The table below gives selected values for the function f(x). With 5 rectangles, using the left side of each rectangle to
10 answers
asked by
Alice
6,339 views
can you please help me solve this problem if dy/dx=ycosx and y=3 when x=0, then y=
4 answers
asked by
christine
5,086 views
If a factory continuously pumps pollutants into the air at the rate of √(t)/15 tons per day, then the amount dumped after 3
5 answers
asked by
Alice
3,853 views
A plane flies horizontally with a speed Of 600km/h at an altitude of 10km and pasess directly over th town of quinton .find the
7 answers
asked by
mehak
3,869 views
Evaluate exactly the value of the integral from negative 1 to 0 of the product of the cube of quantity 2 times x to the 5th
5 answers
asked by
J
3,679 views
si n es un numero entero positivo y f(x) = x^n, de acuerdo a la regla de diferenciacion para potencias con exponentes enteros
1 answer
asked by
pedro
63 views
find the area between the curve y= x^2+4x and the x - axis from x=-2 to x= 0.
5 answers
asked by
Reply andago
913 views
Related Rates:
Gas is escaping from a spherical balloon at the rate of 2ft^3/min. How fast is the surface area shrinking (ds/dt)
10 answers
asked by
Hannah
10,558 views
Sand is falling into a conical pile at the rate of 10 m3/sec such that the height of the pile is always half the diameter of the
5 answers
asked by
Dimple
13,559 views
solve the differential equation dy/dx=y^2/x^3 for y=f(x) with condition y(1)=1.
5 answers
asked by
Ke$ha
4,422 views
If f(2) = 2.5 and f'(2) = -2.5, then f(2.5) is approximately...
I have no idea how to do this without an equation.
5 answers
asked by
PLEASE HELP
2,639 views
If dy/dx = (1 + x)/(xy), x>0, and y=-4 when x=1, then when x=3, y= what?
5 answers
asked by
Hannah
992 views
Region R is bounded by the functions f(x) = 2(x-4) + pi, g(x) = cos^-1(x/2 - 3), and the x axis.
a. What is the area of the
7 answers
asked by
Anonymous
3,901 views
Use differentials to approximate the change in the volume of a cube when the side is decreased from 8 to 7.99 cm. (in cm^3)
Thank
4 answers
asked by
Erica
4,407 views
The region enclosed by the graph of y = x^2 , the line x = 2, and the x-axis is revolved abut the y-axis. The volume of the
5 answers
asked by
Anonymous
8,389 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
2,833 views
1. The graph of f ′′(x) is continuous and decreasing with an x-intercept at x = –3. Which of the following statements must
4 answers
asked by
Justin
5,693 views
Interpret the definite integral A = integral [a,b] dA = integral L(x)dx as computing the area of a region in the xy plane. Then
5 answers
asked by
Anonymous
1,200 views
The area enclosed by the loop of the curve x²=y(y-3)² is revolved about the y-axis. Find the volume generated.
4 answers
asked by
Caloy
1,865 views
Find the Laplace transform of:
f(t) = cos^(2)(2t)
5 answers
asked by
Elyse
8,980 views
Find the arc length of the curve y^3=8x^2 fr0m x=1 to x=8.
4 answers
asked by
James
3,065 views
If y=tanu, u=v-(1/v), and v=lnx. What is the value of dy/dx at x=e?
5 answers
asked by
Sarah
7,047 views
Water, at the rate 10 ft^3/min, is pouring into a leaky cistern whose shape is a cone 16' deep and 8' in diameter at the top. At
5 answers
asked by
Sammy
5,026 views
Consider a curve given implicitly by the equation (1+x)y^3 + (x^4)y - 85 = 0.
A. Calculate dy/dx at a general point (x,y). B.
4 answers
asked by
Anonymous
2,037 views
Find the positive value of the parameter t corresponding to a point on the curve parametrized by
{x= t^2 +3 ; y=t^2+t for which
4 answers
asked by
Anonymous
3,157 views
The slope of a curve is equal to y divided by 4 more than x2 at any point (x, y) on the curve.
A. Find a differential equation
5 answers
asked by
axolotl
1,278 views
Use the graph of f(t) = 2t − 5 on the interval [−2, 10] to write the function F(x), where f of x equals the integral from 1
5 answers
asked by
Jaden
3,224 views
1. Let f be the function that is defined for all real numbers x and that has the following properties.
(i) f''(x)=24x-18 (ii)
5 answers
asked by
Yoona
7,669 views
The operating cost, C, in dollars per hour, for an airplane cruising at a height of h metres and an air speed of 200km/h is
4 answers
asked by
sierra
3,525 views
Find the maximum distance from the curve y=2√2x to the point (6, 0).
4 answers
asked by
Devi Amour
1,906 views
Use the graph of f(t) = 2t + 3 on the interval [-3, 6] to write the function F(x), where F(x)= ∫f(t) dt where a=3 b=x.
F(x) =
4 answers
asked by
Henry
6,647 views
integral 1 to 500 (13^x - 11^x) + integral 2 to 500 (11^x - 13^x) dx =
(answer: 14.946) I tried typing the integrals in the
5 answers
asked by
Anonymous
2,028 views
1. Let C(t) be the number of cougars on an island at time t years (where t > 0). The number of cougars is increasing at a rate
5 answers
asked by
Jeremy
2,598 views
An equation of the line tangent to the graph of (5x - 1)/(3x + 1) at the point where x = 1 is? Any ideas?
3 answers
asked by
ANONYMOUS
885 views
The velocity of a car is recorded every 10 seconds, as shown in the table below.
t(sec) 0 10 20 30 40 50 60 70 v(t) (ft/sec) 4 12
2 answers
asked by
Anonymous
187 views
Given f left parenthesis x right parenthesis 4 x squared plus 2 minus 9, what is f prime left parenthesis a right parenthesis?
(1
1 answer
asked anonymously
32 views
true or false questions:
a)The derivatives of the reciprocal trigonometric functions can be found using the chain rule and their
5 answers
asked by
Tina
3,855 views
If e^f(x) = 1 + x^2, then f'(x) =
5 answers
asked by
larry
3,557 views
Consider a lake of constant volume 12200 km^3, which at time t contains an amount y(t) tons of pollutant evenly distributed
6 answers
asked by
Ashley
2,940 views
How many critical points does the function f(x)=((x −1)^6) ((x + 5)^7) have?
4 answers
asked by
SERA
1,502 views
Given the position function, s of t equals negative t cubed divided by 3 plus 13 times t squared divided by 2 minus 30 times t,
4 answers
asked by
Mel
4,555 views
For x≠0, the slope of the tangent to y=xcosx equals zero whenever:
(a) tanx=-x (b) tanx=1/x (c) sinx=x (d) cosx=x Please help.
4 answers
asked by
Jake
4,440 views
Find
dy/dx and d2y/dx2. x = et, y = te−t
5 answers
asked by
sara
19,830 views
If d/dx(f(x))=g(x) and d/dx(g(x))=f(x^2) , then d^2/dx^2(f(x^3))
, then d2dx2(f(x3))= A f(x^6) B g(x^3) C 3x^2g(x^3) D 9x^4f(x^6)
5 answers
asked by
ann
4,055 views
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