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Calculus
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Questions (17,658)
What is the equation of the line tangent to the function f(x)=-x^2+5 at the point (1,4)?
A. y=-x+5 B. y=-x+9 C. y=-2x+6 D y=-2x+9
7 answers
asked by
Derek
1,623 views
a) Find the area of the region R bounded by the graphs of the equations y=2x−x^2, x=0, and y=0.
b)The line y=cx, where c>0,
4 answers
asked by
McKenna
1,200 views
The region enclosed by the graph of y = x^2 , the line x = 2, and the x-axis is revolved abut the y-axis. The volume of the
5 answers
asked by
Anonymous
8,371 views
A function f is defined on the interval [0,4], and its derivative is e^sinx-2cos3x
a. on what interval is f increasing? b. at
4 answers
asked by
Mattia
4,586 views
If dy/dx = x cos x^2 and y = −3 when x = 0, when x = pi, y = .
A. −3.215 B. sqrt(2) C. 1.647 D. 6 E. 3pi All of the potential
5 answers
asked by
ANONYMOUS
2,102 views
These are all the questions I missed on my practice quizzes, however I was never given the correct answers. I was hoping someone
4 answers
asked by
Mary
1,911 views
Find the arc length of the curve y^3=8x^2 fr0m x=1 to x=8.
4 answers
asked by
James
3,048 views
Sand is falling into a conical pile at the rate of 10 m3/sec such that the height of the pile is always half the diameter of the
5 answers
asked by
Dimple
13,537 views
Verify the given linear approximation at
a = 0. Then determine the values of x for which the linear approximation is accurate to
5 answers
asked by
jedidiah
6,677 views
A plane flies horizontally with a speed Of 600km/h at an altitude of 10km and pasess directly over th town of quinton .find the
7 answers
asked by
mehak
3,858 views
1. Consider the curve y = f(x) = 2^x - 1.
A. Find the exact area of the region in the first quadrant bounded by the curves y =
7 answers
asked by
KingS.
1,680 views
Find the equation of a line tangent to te curve xy = sqrt(xy - x) + 1 at the point (1, 2).
4 answers
asked by
Stewart
2,177 views
If y=tanu, u=v-(1/v), and v=lnx. What is the value of dy/dx at x=e?
5 answers
asked by
Sarah
7,037 views
Table: Time (weeks) 0 2 6 10
Level 210 200 190 180 The table above gives the level of a person’s cholesterol at different times
4 answers
asked by
Amy
5,276 views
A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height h of the cylinder increases and the
6 answers
asked by
mike
22,665 views
a)
Find a Cartesian equation relating and corresponding to the parametric equations: x=2sin(3t), y=9cos(3t). Write your answer in
5 answers
asked by
Allison
5,056 views
Find the absolute value of the resulting error if the value of integral from 0 to 3 (x^3 dx) is estimated with 3 trapezoids of
12 answers
asked by
Alice
4,509 views
Find the maximum distance from the curve y=2√2x to the point (6, 0).
4 answers
asked by
Devi Amour
1,897 views
The function f is continuous on the interval [4, 15], with some of its values given in the table above. Estimate the average
5 answers
asked by
Vikram
6,216 views
1. The graph of f ′′(x) is continuous and decreasing with an x-intercept at x = –3. Which of the following statements must
4 answers
asked by
Justin
5,667 views
If f(2) = 2.5 and f'(2) = -2.5, then f(2.5) is approximately...
I have no idea how to do this without an equation.
5 answers
asked by
PLEASE HELP
2,628 views
1. Let R be the region bounded by the x-axis, the graph of y=sqr(x) , and the line x=4 .
a. Find the area of the region R. b.
5 answers
asked by
naseba
10,187 views
Consider the differential equation given by dy/dx=(xy)/(2)
A) sketch a slope field (I already did this) B) let f be the function
7 answers
asked by
Amber
6,709 views
Use the graph of f(t) = 2t − 5 on the interval [−2, 10] to write the function F(x), where f of x equals the integral from 1
5 answers
asked by
Jaden
3,205 views
Use differentials to approximate the change in the volume of a cube when the side is decreased from 8 to 7.99 cm. (in cm^3)
Thank
4 answers
asked by
Erica
4,398 views
In the formula V = integral (a, b) A(u)du used to compute the volume of a solid:
A. the du can be thought of as representing the
4 answers
asked by
...
1,665 views
The table below gives selected values for the function f(x). With 5 rectangles, using the left side of each rectangle to
10 answers
asked by
Alice
6,317 views
If a factory continuously pumps pollutants into the air at the rate of √(t)/15 tons per day, then the amount dumped after 3
5 answers
asked by
Alice
3,835 views
integral 1 to 500 (13^x - 11^x) + integral 2 to 500 (11^x - 13^x) dx =
(answer: 14.946) I tried typing the integrals in the
5 answers
asked by
Anonymous
2,019 views
Which of the following will not give the instantaneous rate of change of f (x) with respect to x when x = 3?
Which of the
5 answers
asked by
John Ng
1,614 views
Consider the function f(x)=x^n e^-2x for x greater than or equal to 0, where n is some unknown constant greater than 2.
A Find
4 answers
asked by
Miller
1,503 views
The area enclosed by the loop of the curve x²=y(y-3)² is revolved about the y-axis. Find the volume generated.
4 answers
asked by
Caloy
1,856 views
The region W is the cone shown below.
The angle at the vertex is 2π/3, and the top is flat and at a height of 5/sqrt(3). Write
4 answers
asked by
ally
8,592 views
true or false questions:
a)The derivatives of the reciprocal trigonometric functions can be found using the chain rule and their
5 answers
asked by
Tina
3,843 views
solve the differential equation dy/dx=y^2/x^3 for y=f(x) with condition y(1)=1.
5 answers
asked by
Ke$ha
4,414 views
Region R is bounded by the functions f(x) = 2(x-4) + pi, g(x) = cos^-1(x/2 - 3), and the x axis.
a. What is the area of the
7 answers
asked by
Anonymous
3,887 views
1. Let f be the function that is defined for all real numbers x and that has the following properties.
(i) f''(x)=24x-18 (ii)
5 answers
asked by
Yoona
7,652 views
2. The rate of change in the number of bacteria in a culture is proportional to the number present. In a certain laboratory
4 answers
asked by
naseba
5,752 views
Let R be the region enclosed by the graphs y=e^x, y=x^3, and the y axis.
A.) find R B.) find the volume of the solid with base on
4 answers
asked by
Michelle
5,076 views
Determine if the Mean Value Theorem for Integrals applies to the function f(x)=2-x^2 on the interval [0,√2). If so, find the
4 answers
asked by
Alice
3,717 views
Given the table below for selected values of f(x), use 6 right rectangles to estimate the value of the integral from 1 to 10 of
5 answers
asked by
Harry
5,877 views
Let R be the region in the first quadrant under the graph of y=1/sqrt(x) for 4</=x</=9.
(a)Find the area of R. I took the
5 answers
asked by
Anonymous
4,889 views
Interpret the definite integral A = integral [a,b] dA = integral L(x)dx as computing the area of a region in the xy plane. Then
5 answers
asked by
Anonymous
1,183 views
Suppose that f is a differentiable function with derivative
𝑓'(𝑥) = (𝑥 − 3)(𝑥 + 1)(𝑥 + 5). Determine the
4 answers
asked by
Anna
1,640 views
1. Let C(t) be the number of cougars on an island at time t years (where t > 0). The number of cougars is increasing at a rate
5 answers
asked by
Jeremy
2,587 views
The graph of f ′(x), the derivative of x, is continuous for all x and consists of five line segments as shown below. Given f
5 answers
asked by
Alice
7,708 views
Remember that f(x) must be one-to-one (only one y-value for each x-value) over the domain where f –1(x)is defined as a
5 answers
asked by
Thomas
1,726 views
Find the derivative of
cos^2(4x)
4 answers
asked by
Amanda
7,298 views
1. At which values of x does the graph of f(x)=cos x intersect the x-axis? Select all that apply. (2 answers)
a. 0*** b. pi/2***
9 answers
asked by
girly girl
4,755 views
1. For f(x)=sin^(2)x and g(x)=0.5x^2 on the interval
[-pi/2,pi/2], the instantaneous rate of change of f is greater than the
5 answers
asked by
Jacke
2,818 views
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