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Calculus
Page 7
Questions (17,663)
Given that g(t) is continuous, find the value of c: g(t) = {ct + 2 if t < - 2; cos(pit/2) if t >= -2.
a. c = 3/2 b. c = 1/2 c. c
7 answers
asked by
Sarah
2,277 views
Consider the curve given by x^ 2 +sin(xy)+3y^ 2 =C, where Cis a constant. The point (1, 1) lies on this curve. Use the tangent
4 answers
asked by
Sarah
2,787 views
For f(x) = e2sin(x) use your graphing calculator to find the number of zeros for f '(x) on the closed interval [0, 2π].
5 answers
asked by
mock
4,695 views
Consider the curve given by y^2 = 2+xy
(a) show that dy/dx= y/(2y-x) (b) Find all points (x,y) on the curve where the line
5 answers
asked by
Mathew
5,800 views
Suppose the integral from 2 to 8 of g of x, dx equals 5, and the integral from 6 to 8 of g of x, dx equals negative 3, find the
4 answers
asked by
Lilly
7,212 views
Find the area of the region bounded by the functions f(x) = x^4 and g(x) = |x|.
a) 1.3 b) 5.2 c) 0.6 d) None of these
5 answers
asked by
Alice
3,720 views
Evaluate the Riemann sum for f(x) = 5 −1/2x, 2 ≤ x ≤ 14,with six subintervals, taking the sample points to be left
4 answers
asked by
Jack
5,271 views
Find the exact area of the surface obtained by rotating the curve about the x-axis.
y=((x^3)/4)+(1/3X), 1/2≤X≤1
4 answers
asked by
alex
2,788 views
Please check my answers (and give correct ones) I tend to make dumb mistakes so I'm trying to work on that (sorry in advance)
4 answers
asked by
Mary
2,003 views
Find an equation of the tangent line to the graph of the function f through the point (x0, y0) not on the graph. To find the
4 answers
asked by
Karen
4,029 views
A car leaves an intersection traveling east. Its position t sec later is given by
x = t2 + t ft. At the same time, another car
5 answers
asked by
sal
3,754 views
The position of a particle on the x-axis at time t, t > 0, is s(t) = ln(t) with t measured in seconds and s(t) measured in feet.
5 answers
asked by
Jonathan
5,684 views
dy/dx=x/(x-4)
I.will have a slope field with negative slopes in quadrant I II.will have a slope field with positive slopes in all
5 answers
asked by
John
3,714 views
Graph the curve. Find the exact length of the curve.
x = 2et cos(t), y = 2et sin(t), 0 ≤ t ≤ π
4 answers
asked by
Kaitlyn
8,370 views
At what value(s) of x on the curve y=−8+90x^3−3x^5 does the tangent line have the largest slope?
4 answers
asked by
Web9
1,935 views
f is a continuous function with a domain [−3, 9] such that
f(x)= 3 , -3 ≤ x < 0 -x+3 , 0 ≤ x ≤ 6 -3 , 6 < x ≤ 9 and let
5 answers
asked by
Skyler
6,522 views
Find the area of the region bounded by the curves y = x^(-1/2), y = x^(–2), y = 1, and y = 3.
a) (1/2)(3)^1/2 + (4/3) b)
5 answers
asked by
Emily
2,407 views
Consider the functions f(x) = (x^3 / (x^4+1)) and g(x) = (x / (x^4+1)). Let R denote the region in the first quadrant bounded by
4 answers
asked by
tubbo
948 views
Use two rectangles of equal width to estimate the area between the graph of f(x) = x - cos(πx) and the x-axis on the interval
5 answers
asked by
Alice
3,226 views
an equivalent representation of the definite integral of 3 to 1 2xcos(x^2)dx is
4 answers
asked by
illy
1,532 views
Let f be a function with second derivative given by f''(x)=sin(2x)-cos(4x). How many points of inflection does the graph of f
5 answers
asked by
Mike
2,591 views
A particle is moving along the x-axis according to the position function s(t)=3t^2-t^3. What is its maximum velocity?
A. 1 B. 2
5 answers
asked by
Anonymous
2,583 views
Let F(x) be an antiderivative of sin^3(x). If F(1)=0 then F(8)=?
The answer: 0.632 How do I get to that answer? Do I find the
7 answers
asked by
Katie
1,949 views
a)
If x3 + y3 - xy2 = 5, find dy/dx. (b) Using your answer to part (a), make a table of approximate y-values of points on the
4 answers
asked by
Anonymous
4,135 views
Find
y'' by implicit differentiation. 3x3 + 4y3 = 1
4 answers
asked by
Anonymous
6,708 views
Find an equation of the tangent line to the graph of x^2+3y^2=4 at the point (1,1)
A. y+1=-1/3(x+1) B. y-1=-x/3y(x-1) C. x+3y=2
4 answers
asked by
Anonymous
1,940 views
A particle moves on the x-axis so that its position is continuous on the interval [3, 13] with some of its values for its
4 answers
asked by
Alice
5,520 views
determine the point(s)at which the graph of y^4 = y^2 -x^2 has a horizontal tangent.
7 answers
asked by
Ashley
1,269 views
The curve has tangent at the point P(-1,-2) find they gradient of this tangent at point P
4 answers
asked by
Krystyna
800 views
A snowball is melting at the rate of 2 inches per hour. How fast is the surface area of the snowball changing at the instant the
4 answers
asked by
Thomas
4,257 views
Find an equation of a line that is tangent to y=2sinx and whose slope is a maximum
4 answers
asked by
Anonymous
1,450 views
a solid has as its base the region bounded by the curves y = -2x^2 +2 and y = -x^2 +1. Find the volume of the solid if every
4 answers
asked by
James
2,465 views
Which interval gives an average change of 0 for the function y = 3cos (4πx + π) - 3?
a) π/3 <= x <= π/2 b) π/4 <= x <= π/2
5 answers
asked by
Craig
1,220 views
The equation dy/dx = -6x^2/y gives the slope at any point on the graph of f(x). The range of f(x) is [0, infinity] and f(1) = 2.
4 answers
asked by
Anonymous
1,051 views
f is a function that is differentiable for all reals. The value of f ′(x) is given for several values of x in the table below.
4 answers
asked by
Ke$ha
5,257 views
The marginal cost of manufacturing x yards of a certain fabric is
C'(x) = 3 − 0.01x + 0.000012x2 (in dollars per yard). Find
5 answers
asked by
Tenshi
4,844 views
An object moves in a straight line. Its velocity, in m/s, at time t is v(t)=4t^2/(1+t^2),t≥0.
Determine the maximum and minimum
4 answers
asked by
Jake
1,112 views
Find the points on the curve y= (cos x)/(2 + sin x) at which the tangent is horizontal.
I am not sure, but would I find the
4 answers
asked by
CMM
2,883 views
(1 point)
Find the average value of g(t)=3t+5 over the interval [2,8]. Round your answer to the nearest hundredth.
4 answers
asked by
Anonymous
670 views
Use your graphing calculator to evaluate to three decimal places the value of ∫ 0.5 to 3 ((sinx)/x)dx.
I don’t have a
6 answers
asked by
Emily
1,746 views
Consider the function g(x) = sinxcosx.
a. Find an equation of the tangent line to the graph of g at (pi/3, sqrt3/4). b. Find the
3 answers
asked by
Anonymous
1,445 views
consider the differential equation dy/dx= (y - 1)/ x squared where x not = 0
a) find the particular solution y= f(x) to the
4 answers
asked by
sammy
5,236 views
Find the area of the shaded region below.
x=(y^2)-2 x=e^y y=1 y=-1 I was doing a horizontal split so I had the integral from -1
3 answers
asked by
Angela
1,866 views
find the dy/dx of s(t)= (4/3pi)sin3t+(4/5pi)cos5t
4 answers
asked by
Millie
2,723 views
If the integral of (x^2 - 2x + 2)dx from 0 to 6 is approximated by three inscribed rectangles of equal width on the x-axis, then
4 answers
asked by
Erica
1,036 views
f is a continuous function with a domain [−3, 9] such that
f of x equals 3 for x between negative 3 and 0 including negative 3,
4 answers
asked by
Ke$ha
4,260 views
a) Describe a graph for which the average rate of change is equal to instantaneous rate of change for its entire domain.
4 answers
asked by
Shaila
3,439 views
Find the position function s(t) from the given acceleration function and initial values
a (t) = 10-3t^2 ; if v(0) = 3 and s(0) =2
4 answers
asked by
Abdullah
1,325 views
Find the specific solution of the differential equation dy/dx= 4y/x^2 with condition y(-4) = e.
4 answers
asked by
John
1,983 views
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
1,315 views
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