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... more
Calculus Math

12/10/23

Compute the derivative of the given function below

y=0∫sin^(-1)(x) cos(t)dt
Calculus Math

12/10/23

Compute the derivative of the given function below

y=0∫e^x^2dt/√tdy/dx=?
Calculus Math

12/10/23

Compute the derivative of the given function below

y= 0∫√x sin(t2) dtdy/dx=?
Calculus Math

12/10/23

Compute the derivative of the given function below

f(x)=0∫x^3e-tdtdf/dx=?
Calculus Math

12/10/23

find the derivative of the question below.

f(x)= 0∫√xcos(t) dtdf/dx=?
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... more
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... more
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... more
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... more
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',... more
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... more

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