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Calculus
Page 7
Questions (17,657)
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
5,680 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
3,711 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
8,363 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
1,931 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
6,516 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
2,401 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
943 views
The rate at which water flows into a tank, in gallons per hour, is given by a differentiable function R of time t. The table
7 answers
asked by
Henry
5,288 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
3,221 views
an equivalent representation of the definite integral of 3 to 1 2xcos(x^2)dx is
4 answers
asked by
illy
1,529 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
2,583 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
2,578 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
1,945 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
4,131 views
Find
y'' by implicit differentiation. 3x3 + 4y3 = 1
4 answers
asked by
Anonymous
6,705 views
Find the antiderivative of
e^(2lnx) + e^(2x)
4 answers
asked by
Pleaseee
2,375 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
1,934 views
Find the point on the curve y =2/3 〖√(18-x^2 )〗 (first quadrant) where a tangent line may be drawn so that the area of the
4 answers
asked by
Anonymous
2,153 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
5,514 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
1,265 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
796 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
4,252 views
Find an equation of a line that is tangent to y=2sinx and whose slope is a maximum
4 answers
asked by
Anonymous
1,445 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
2,460 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
1,217 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
1,048 views
Find the equation of the line tangent to the path of a particle traveling in the xy-plane with position vector r(t)=<t^3 +2t,
7 answers
asked by
Yonnie
2,115 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
5,251 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
4,840 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
1,107 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
2,877 views
Suppose the total cost, C(q), of producing a quantity q of a product is
given by the equation C(q) = 5000 + 5q The average cost
4 answers
asked by
kyle
1,277 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
669 views
Find the tangent line to f(x)=7x+4ex at x=0
Find the tngent line to f(x)=3x^2ln x at x=1 Find the tangent line to f(x) = ln(x)
4 answers
asked by
Hannah
2,520 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
1,742 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
1,439 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
5,229 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
1,860 views
find the dy/dx of s(t)= (4/3pi)sin3t+(4/5pi)cos5t
4 answers
asked by
Millie
2,720 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
1,034 views
let f be the function
f(x) = x^3 + 3x^2 - x + 2 a. the tangent to the graph of f at the point P = (-2,8) intersects the graph of
4 answers
asked by
mary
3,749 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
4,256 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
3,435 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
1,319 views
Use differentials to approximate the value of the expression.
cube root of 25 I set x=27 and dx=-2 and got ~3.0741, what did I do
4 answers
asked by
Ray
3,038 views
Find the specific solution of the differential equation dy/dx= 4y/x^2 with condition y(-4) = e.
4 answers
asked by
John
1,981 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
1,309 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
825 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
1,947 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
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