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Calculus
Page 8
Questions (17,654)
4. A certain computer algorithm used to solve very complicated differential equations uses an iterative method. That is, the
4 answers
asked by
Linda
748 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
2,091 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
4,066 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
2,358 views
Find the largest open intervals where the function is concave upward.
f(x)=x^4-8x^2
4 answers
asked by
tony
2,569 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
2,691 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
677 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
3,291 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
1,934 views
use implicit differentiation to find dz/dx
given: x^2+zsin(xyz)=0
4 answers
asked by
anonymous
961 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
3,350 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
1,367 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
3,928 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
3,080 views
If y = u+ 2e^u and u = 1+lnx, find dy/dx when x= (1/e) ?
4 answers
asked by
Jeff
1,058 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
981 views
If dy/dx=(xy^2) and if y=1 when x=0, then when y=3, x is equal to
a) 1/8 b) - π/8 c) 1 d) (2√3)/3
4 answers
asked by
Alice
1,211 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
3,626 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
1,364 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
2,967 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
2,595 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
1,972 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
1,815 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
699 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
1,345 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
1,401 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
979 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
1,264 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
998 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
3,790 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
647 views
Use Simpson's rule with n = 4 to approximate. Keep at least 2 decimal places accuracy.
Integrate: (cos(x))/(x) x=1 to 5
3 answers
asked by
Dave
2,040 views
Use your graphing calculator to evaluate to three decimal places the value of the integral from negative 1 to 1 of the product 2
3 answers
asked by
Ella
1,384 views
f(x) = sqrt(x^2 + 0.0001)
At x = 0, which of the statements is true. a)f is increasing b)f is discontinuous c)f has a horizontal
3 answers
asked by
Jen
983 views
Suppose f(x) is a continuous function. Then a function F(x) such that F'(x) = f(x) is called:
A.) the indefinite integral of f
4 answers
asked by
Jake
2,921 views
Please check my answers! My teacher never gave us the answer sheet so I have no idea what to study TT
(also please give the
4 answers
asked by
Alice
2,769 views
Find the slope of the tangent line to the curve
2sin(x)+5cos(y)−4sin(x)cos(y)+x=3π at the point (3π,5π/2).
1 answer
asked by
Krista
226 views
implicit differentiation of x^3y^2-5x^2y+x=1
3 answers
asked by
Alex
638 views
The function y=f(x) is presented by the graph in the textbook. To estimate the area under the graph on the interval [-4, 4], we
1 answer
asked anonymously
47 views
Use cylindrical shells to find the volume formed by rotating the region in the first quadrant enclosed by: y=1.2-1.4|x-12| and
6 answers
asked by
Naomi
1,087 views
If a fluid enters a hemispherical vat with a radius of 10meter . at a rate of 0.5cubic meter per minute, how fast will the fluid
2 answers
asked by
Related Rates
647 views
Find the derivative function for the following functions using the first principles definition of the derivative
2 answers
asked by
ger
551 views
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