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Calculus
Page 8
Questions (17,686)
If y = u+ 2e^u and u = 1+lnx, find dy/dx when x= (1/e) ?
4 answers
asked by
Jeff
1,064 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
2,414 views
a certain radioactive substance is decaying so that at time t, measured in years, the amount of the substance, in grams, is
4 answers
asked by
Sara
2,322 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
1,309 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
1,371 views
"A tank holds 1000L of water, which takes an hour to drain from the bottom of the tank, then the volume V of water remaining in
4 answers
asked by
Stuck
1,677 views
Given f(x)=1+sinX and get g(x)=cos 2X
Calculate the points of intersection of the graph f and g for x€{180°;360°}
4 answers
asked by
Luyanda
945 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
2,978 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
2,605 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
1,979 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
1,828 views
If the normal to f(x)= (3x/(1+x)) at (2,2) cuts the axes at B and C, determine the legnth of BC.
4 answers
asked by
keya
583 views
Find the gradient of the curve xy^3 = 5 ln y at the point (0,1).
4 answers
asked by
Anique
642 views
Given f(x)=4x^2+2x-9, what is f'(a)?
A. f'(a)=6a+2 B. f'(a)=6a-9 C. f'(a)=8a+2 D. f'(a)=4a+2-9
4 answers
asked by
JRose
332 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
1,350 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
1,958 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
1,410 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
988 views
the derivative of 4xsin(x)cos(x)
3 answers
asked by
habib
295 views
Evaluate the surface integral.
double integral ydS S is the part of the paraboloid y = x2 + z2 that lies inside the cylinder x2 +
4 answers
asked by
rebecca
1,685 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
674 views
Find all first partial derivatives:
f(x,y)=e^(xy)cosx
4 answers
asked by
Elyse
1,005 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
3,801 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
802 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
1,397 views
2. Let R be the region in the first quadrant bounded by the graphs of (x^2/9)+(y^2/81)=1 and 3x+y=9 .
a. Set up but do not
3 answers
asked by
Taeyeon
1,847 views
Determine the coordinates of the point(s) on the graph of y=3x- 1/x at which the slope of the tangent is 7.
So the derivative of
2 answers
asked by
Jessi
535 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
993 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
2,932 views
Sketch the region enclosed by the curves x=64−y^2 and x=y^2−64. Decide whether to integrate with respect to x or y. Then
4 answers
asked by
kind
2,798 views
Suppose the integral from 2 to 6 of g of x, dx equals 12 and the integral from 5 to 6 of g of x, dx equals negative 3 , find the
4 answers
asked by
Justin
1,213 views
a water tank in the shape of a circular cone with its top down, with a base radius of 5cm and height of 10cm. pour water into it
4 answers
asked by
Lara
113 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
230 views
Given f(x)=x^4(2x^2-15). On what interval(s) is the graph of f concave upwards?
A. (0, sqrt(3)) B. (-sqrt(3), 0) C. (-sqrt(3), 0)
2 answers
asked by
Sarah
802 views
implicit differentiation of x^3y^2-5x^2y+x=1
3 answers
asked by
Alex
643 views
The region bounded by y=2.5x^2 and y=4x is to be rotated about both axes and the volume generated calculated by both the washer
1 answer
asked by
l
639 views
Q. Determine the equation for a cubic spline segment passing through two end points A (0, 5) and B (10, 20), having a slope of 2
1 answer
asked by
bineesh
503 views
the basse of a solid S is the region enclosed by the graph of y=square root (ln x), the line x=e, and the x-axis. if the cross
3 answers
asked by
david
1,570 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
1,091 views
What is the simplest solution to the Brachistochrone problem and the Tautochrone problem involving calculus? (I know that the
3 answers
asked by
Sam
900 views
Use Green's theorem to evaluate the integral:
y^(2)dx+xy dy where C is the boundary of the region lying between the graphs of
2 answers
asked by
Elyse
658 views
find the stationary points of the following function f(x)=x^3-3x^2-24x-7
2 answers
asked by
libby
545 views
Evaluate the following two integrals by interpreting each in terms of areas
∫_0^1▒√(1−𝑥^2 ) 𝑑𝑥
1 answer
asked anonymously
26 views
Using the method I of contour integration, evaluate integrate (x ^ 2)/((x ^ 2 + 1) ^ 2) dx from - ∞ to ∞
1 answer
asked by
Rajesh
15 views
Suppose the time is denoted as t. Between which values of t is the speed of the truck increasing? (1 point) Responses between
1 answer
asked anonymously
13 views
From a height of 3,000 ft of falcon descends at a rate of 250 ft per second what is the rate of change in a falcon's elevation
1 answer
asked anonymously
5 views
f(x)=x^2 - 5x +7 and g(x) 3/x
1) Indicate points of intersection 2) compute the area enclosed by the graphs of f(x) and g(x). 1)
1 answer
asked by
Rain
418 views
How do you find Altitude and slope
slope is the derivative of a function: for ex. if you have f(x)=x^2 + x, at point (1,2)
1 answer
asked by
Karen
388 views
There is a sign that is 10ft on one side and 15ft on the other side (from the ground to the base of the sign), the billboard
1 answer
asked by
Meagan
419 views
Does x^4 * e^x have a horizontal asymptote?
Take the derivative to see if slope is zero. dU/dx = x^4 * e^x = 4x^3 * e^x + x^4 *
1 answer
asked by
Bethany
315 views
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