25,270 Answered Questions for the topic calculus
Calculus
12/10/23
Evaluate Integral
Evaluate IntegralC F * dr, where F(x,y) = (6x-2y)i +x^(2)j, and C is the line segment from (6,-3) to (0,0).Thanks in advance!
Calculus Math
12/10/23
Velocity of a particle
The velocity function (in meters per second) for a particle moving along a line is given by v(t)=t^3−2t^2. Find the displacement and the distance traveled by the particle during the time interval...
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Calculus
12/09/23
Find the Surface Area of Rotating the following section of the graph around the given axis.
Find the Surface Area of Rotating the following section of the graph around the given axis. Round answer to two decimal places.Take the curve on the interval Rotated around the line The Surface...
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Calculus
12/09/23
Find the Surface Area of Rotating the following section of the graph around the given axis.
Find the Surface Area of Rotating the following section of the graph around the given axis. Round answer to two decimal places.Take the curve on the interval Rotated around the polar axis The...
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Calculus
12/09/23
Find the arclength of one petal on the given graph
Find the arclength of one petal on the given graph. Round answer to two decimal places.The arclength of one petal is
Calculus
12/09/23
Find the area of the inner loop of the graph
Find the area of the inner loop of the graph. Round answer to two decimal places.The area of the inner loop is
Calculus
12/09/23
Find the area of one petal on the given graph. Round answer to two decimal places.
Find the area of one petal on the given graph. Round answer to two decimal places.The area of one petal is
Calculus
12/09/23
Find the derivative of the following polar function. Use "theta" for the symbol . You do not need to simplify.
Find the derivative of the following polar function. Use "theta" for the symbol . You do not need to simplify.
Calculus
12/09/23
Find the derivative of the following polar function. Use "theta" for the symbol \theta. You do not need to simplify.
Find the derivative of the following polar function. Use "theta" for the symbol . You do not need to simplify.
Calculus
12/09/23
Convert the polar equation to a rectangular equation. You do not need to solve for y. Make sure to include the = sign.
Convert the polar equation to a rectangular equation. You do not need to solve for . Make sure to include the = sign. Polar equation is Rectangular equation is
Calculus
12/08/23
Finding derivative (Chain Rule)
Find the derivative of the function.y = [x + (x + sin^2(x))^5]^7
Calculus
12/08/23
Evaluate the integral
Evaluate IntegralC xy^(3)dx-4xdy, where C is the portion of the circle centered at the origin of radius 1 in the first quadrant with clockwise rotation.
Calculus Math
12/08/23
Exponential Quotient (solve without calculator)
Given y=(2-2x)/(e-2x), find dy/dx.
Calculus
12/07/23
Alternating Series
Test the series for convergence or divergence, I already solved all of it except the last part∑(n=1, infinity) ((-1)^n)/((n)(2^n)) bn=1/(n2^n)lim as n approaches infinity bn= 0; The series is...
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Calculus
12/07/23
Optimization Calculus
a piece of wire of length 16cm is divided into 2 parts, one forms a circle and the other forms an isosceles right triangle. How should the wire be cut so that the area is
maximum
minimum
Calculus
12/07/23
FInd the values of c
find the value or values of c that satisfy the equation f(b)-f(a) / b-a=f'(c) in the conclusion of the Mean Value Theorem for the following function and interval. f(x)= 3x^3 + 4x^2, [-2, 2]
Calculus
12/07/23
What is the largest possible area of the field? You need to use calculus to find your solution.
A farmer has 600 ft of fencing to enclose a rectangular field which he plans to subdivide into two pens of equal area, with a single length of fencing running down the middle. What is the largest...
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Calculus
12/07/23
consider the function with the following properties and answer the question below
consider the function f(x)=-(x2-4)/(x2+1) with the following properties:
f has x-intercepts at x=±2 and a y-intercept at y=4
f has a horizontal asymptote at y=-1 and no vertical asymptotes
f, f',...
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Calculus
12/07/23
A boat is being pulled toward a dock by a rope from the bow through a ring on a dock ...
A boat is being pulled toward a dock by a rope from the bow through a ring on a dock 12 ft above the bow. the rope is haled at a rate of 3 ft/sec.a) how fast is the boat approaching the dock when...
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12/06/23
Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x) = D(x) · Q(x) + R(x).
P(x)= 6x4+4x3+5x2, D(x) = 2x2+1
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