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Calculus
Page 8
Questions (17,658)
If a figure shows a function g(x) and its tangent line at the point B=(2,6.8). If the point A on the tangent line is
4 answers
asked by
Cecille
1,313 views
Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the
2 answers
asked by
Neesh
826 views
f(x) = summation from n equals 0 to infinity of the quotient of the quantity n plus 1 and 3 to the n plus 1 power times x to the
4 answers
asked by
kaa
1,192 views
Consider a spherical tank of radius 4 m that is filling with water. Let V be the volume of water in the tank (in cubic meters)
4 answers
asked by
Clueless
1,951 views
Verify that the function y(x)= x - (1/x) is a solution to the differential equation, xy'+ y= 2x
I have absolutely no clue what to
3 answers
asked by
Annoyed
1,997 views
Find the values of x that give relative extrema for the function f(x)=3x^5-5x^3
A. Relative maximum: x= 1; Relative minimum:
4 answers
asked by
Anonymous
4,172 views
A. find y' by implicit differentiation.
B. solve th equation explicitly for y and differentiate to get y' in terms of x. cos (x)
4 answers
asked by
Sasha
1,635 views
Use linear approximation, i.e. the tangent line, to approximate 8.4^(1/3) as follows:
Let f(x)= x^(1/3) . The equation of the
4 answers
asked by
Salman
1,820 views
The slope of the tangent line to the parabola y=4x2–6x+6 at the point where x=5 is:
The equation of this tangent line can be
4 answers
asked by
leah
1,062 views
4. A certain computer algorithm used to solve very complicated differential equations uses an iterative method. That is, the
4 answers
asked by
Linda
751 views
Find the average value g-ave of the function g on the given interval.
g(x) = 6∛x [27, 125]
4 answers
asked by
Anonymous
2,092 views
Evaluate the integral by making the given substitution. (Use C for the constant of integration. Remember to use absolute values
4 answers
asked by
Anonymous
4,067 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
2,359 views
Find the largest open intervals where the function is concave upward.
f(x)=x^4-8x^2
4 answers
asked by
tony
2,570 views
Find all the first and second order partial derivatives of the function f(x,y) = 2x^3+ 3x^2 y^2 + 3x + 2/y + 4
4 answers
asked by
Anonymous
2,692 views
Find f'(0.5) for f(x)=f on the top "x" on the bottom "0" Arc tan(t)dt
4 answers
asked by
Maria
679 views
Which of the following are antiderivatives of f(x)=sinxcosx?
I f(x)=(sin^2* x)/2 II f(x)=(cos^2* x)/2 III f(x)=-cos(2x)/4
4 answers
asked by
Tiffany
4,537 views
Find the area of the region bounded by the graphs of y = 2 − x2 and y = −x.Find the area of the region bounded by the graphs
4 answers
asked by
nan
3,292 views
If a particle moves in the xy-plane so that at time t>0 its position vector is (e^(t²), e^(-t³)), then its velocity vector at
4 answers
asked by
Erica
1,936 views
use implicit differentiation to find dz/dx
given: x^2+zsin(xyz)=0
4 answers
asked by
anonymous
962 views
The function is used to model the height of an object projected in the air, where h(t) is the height in meters and t is the time
3 answers
asked by
allie
998 views
Water is draining from a swimming pool in such a way that the remaining volume of water after t minutes is V = 200(50 - t)^2
5 answers
asked by
anonymous
1,537 views
Which of the following integrals cannot be evaluated using a simple substitution?
the integral of 1 divided by the quantity x
4 answers
asked by
Tiff
3,354 views
Show that the series cos(n) from n=1 to infinity is divergent.
4 answers
asked by
Alanna
2,003 views
Find the area of the region enclosed between y = 2sin (x) and y = 2cos (x) from x = 0 to x = pi/4.
Thanks for your help :)
3 answers
asked by
Michelle
2,866 views
Suppose
g(x) = { 1 / (x-2) if x < 1 2x - 3 if x >/= 1 The best description concerning the continuity of g(x) is that the function
4 answers
asked by
Mishaka
1,369 views
A curve has implicit equation x^2-2xy+4y^2=12
a)find the expression for dy/dx in terms of y and x. hence determine the
4 answers
asked by
Matteo
3,931 views
The wind chill is the temperature, in degrees Fahrenheit, a human feels based on the air temperature, in degrees Fahrenheit, and
4 answers
asked by
Leannna
3,082 views
If y = u+ 2e^u and u = 1+lnx, find dy/dx when x= (1/e) ?
4 answers
asked by
Jeff
1,060 views
Starting with F(x) = integral (-2, x) 3t^2(cos (t^3) + 2) dt, use substitution u(t)=t^3 to rewrite the definite integral. You
3 answers
asked by
Anonymous
982 views
The rate at which water flows into a tank, in gallons per hour, is given by a differentiable, increasing function R of time t.
3 answers
asked by
Jeff
3,627 views
Find a unit vector that is parallel to the line tangent to the parabola y = x^2 at the point (4, 16).
3 answers
asked by
Tayb
2,408 views
Find the relative extrema of the function f(x) = 1/2 x - sinx on the interval (0, 2 pie)
please show me how you got this!!
3 answers
asked by
Gabby
1,302 views
The velocity of a car (in miles per hour) is given by
v(t) = 61.25t − 17.5 t^2 where t is in hours. Write a definite integral
3 answers
asked by
Jane
1,365 views
If the graph of f " (x) is continuous and has a relative maximum at x = c, which of the following must be true?
The graph of f
4 answers
asked by
Bree
2,968 views
The marginal cost of manufacturing x yards of a certain fabric is C′(x)=3−0.01x+0.000006x2 (in dollars per yard). Find the
4 answers
asked by
Danielle
2,598 views
Find constants a and b in the function f(x)=axe^(bX) such that f(1/8)=1 and the function has a local maximum at x=1/8.
4 answers
asked by
Dylan
1,973 views
1. Let y = f(x) be the continuous function that satisfies the equation x^4-5x^2y^2+4y^4=0 and whose graph contains the points
3 answers
asked by
fareha
1,819 views
consider the following integral:
⨜cot(7x) dx Find a substitution to rewrite the integrand as 1/7u du u=? du=(?)dx
4 answers
asked by
Neesh
701 views
The function g is given by the formula
g(x)= ∫[0,x/2] e^(-t^2)dt. An equation for the tangent line to the graph of g at the
3 answers
asked by
Rachel
1,346 views
Find the absolute maximum and absolute minimum values of f on the given interval.
f(x) = xe^((−x^2)/98), [−6, 14]
3 answers
asked by
Faith
1,950 views
A function f(x) is said to have a removable discontinuity at x=a if:
1. f is either not defined or not continuous at x=a. 2. f(a)
3 answers
asked by
maggie
1,404 views
Find the area of the surface generated by revolving the given curve about the y-axis.
8xy^2=2y^6+1 , 1<=y<=2. thank you so much..
3 answers
asked by
Akitsuke
980 views
the derivative of 4xsin(x)cos(x)
3 answers
asked by
habib
290 views
A particle moves along the X axis with the acceleration a(t)=12t-6. If v(0)=3, find the total distance the particle traveled
3 answers
asked by
Lynds
1,265 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
672 views
Find all first partial derivatives:
f(x,y)=e^(xy)cosx
4 answers
asked by
Elyse
999 views
The average value of a continuous function f(x) on the closed interval [3,7] is 12. Whats the value of ∫ from [3,7] f(x) dx?
3 answers
asked by
Laura
3,793 views
The directional derivative of z = f(x,y) at (2,1) in the direction toward the point (1,3) is -2/sqrt(5), and the directional
3 answers
asked by
Dani
800 views
Use the Shell Method to calculate the volume of rotation, V, about the x-axis for the region underneath the graph of
3 answers
asked by
Samantha
648 views
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