Set up and evaluate the definite integral for the area of surface generated by revolving the curve about the x-axis.

y=9−x2−−−−−√y=9−x2 ,       [−2,2][−2,2]


Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in


Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Problem 16.23 The motor tums gear A with an angular acceleration of aA = 3.9 rad/s when the angular ...

A: Click to see the answer

Q: Which scenario BEST describes the graph below? As the weight of a package increased, the shipping co...

A: Click to see the answer

Q: 4-x²-y² Change the integral f ** Na*-* z² dz dx dy to spherical coordinates, you do not need to eval...

A: Given integral in cartesian form is, I=∫02∫04-y2∫04-x2-y2z2dzdxdy

Q: Write the equation of the line tangent to f (x): x2 – 3x + 5 at the x

A: To find an equation of the tangent line of f(x)  at the point x=0

Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube...

A: In the following step we can write an equation to establish a relationship between x and y

Q: Let f(x)= x3 + 2x1/2. Find F(x), where F(x) is the antiderivative of f(x) that passes through the po...

A: Integrate 

Q: Let f(x) 2x. Calculate the difference quotient f(3+h)–f(3) for h h = .1 h = .01 h = -.01 h = -.1 If ...

A: Click to see the answer

Q: If q(2) V12 + w'dw then q'(2) - [1

A: We have to find derivative

Q: Can you please explain this step by step

A: Click to see the answer

Q: A closed box with a square base is to be built and the volume fixed at 30 m3. Determine the minimum ...

A: Let the length of the square base be x meters and the height of the box be h meters. So, the area of...

Q: Solve please question number 3 a and b

A: see 2nd step

Q: Currently in Oregon many counties are seeing the number of COVID-19 cases is rising.  In Lane County...

A: Click to see the answer

Q: #7 #8   do it correclty, and I will give thumbs up!

A: To evaluate the expression

Q: Find the derivative.

A: Click to see the answer

Q: Explain why the following expression make sense

A: Click to see the answer

Q: c) Sketch and shade the region between the curves y =x and y =1. i. Calculate the area of the region...

A: Click to see the answer

Q: Can you please solve question number 7 a and b

A: Here we find the magnitude vector.

Q: dg 1 дд If g(x, y) = xy + y ln(ry), show that ду + y dr = x+ In(xy). dxðy

A: given: gx,y=xy+yln(xy) we have to show that: ∂g∂y-∂2g∂x∂y-y∂2g∂y2+1y∂g∂x=x+ln(xy)

Q: Calculus Question

A: Given function

Q: When 40 units are produced, the average cost is 200 and the marginal cost is 150. Estimate the total...

A: Click to see the answer

Q: Free Response Questions - You must show valid work on all problems. 15. Find the area of the region ...

A: Click to see the answer

Q: Set up a triple integral to find the mass of the solid tetrahedron bounded by the xy-plane, the yz-p...

A: The equation of the given plane is, x6+y5+z30=1

Q: dy 8. If y = x*, then find using logarithmic differentiation, dx (A) x.x*-1 (B) x* In(x) S0 =X to =v...

A: Click to see the answer

Q: 3 A system of equations is shown below. Use the coordinate plane to graph the system. What is the va...

A: Click to see the answer

Q: dx Integrate 2 18x2

A: we have to integrate

Q: Calculus Question

A: Click to see the answer

Q: Find the correct partial fraction decomposition for z3+5z?+14z+17 ? (z²+2z+5)²

A: Click to see the answer

Q: Find the volume of the solid bounded above by the graph of f(T, y) = T'y and below by the zy-plane o...

A: Given the solid bounded by the graph f(x,y)=x2y and below the plane xy  

Q: Using suitable method, show that 2 tan" (x+2) dx =- – In 2 .

A: We use integration by parts to find integral tan inverse x.

Q: Find the arc length of the graph of the function y=2x32+3y=2x32+3 over the interval [0,9][0,9].

A: Here we have to find the arc length of the graph of the function y= 2x3/2 +3 over the interval [0,9]

Q: Solve the equation sin(3theta)=-1 for angles theta on the interval 0 <= theta < 2pi.

A: Explanation of the answer is as follows

Q: The demand function for a certain product is p = V500 – 2q², where q is the quantity of the product ...

A: Given the demand function for a certain product p=500−2q2       ....(1)

Q: I am having trouble with this question An ostrich farmer wants to enclose a rectangular area and the...

A: To find the largest possible total area of the five pens

Q: The shaded area in the graph is the value of the definite integral f(x) dx. Give the value of this d...

A: Click to see the answer

Q: Calculus Question

A: Since you have asked multiple question, we will solve the first question for you. If youwant any spe...

Q: Evaluate the definite integral. 3 (x² – 2)2 dx

A: Click to see the answer

Q: スnX readius of convergence. the a.) Find b.) What is intervel et convergence? (Inter the

A: Click to see the answer

Q: This is not a graded question and it is a practice questionnaire.

A: Click to see the answer

Q: The Hurricane Hunters took the following measurements from a hurricane over several days as it devel...

A: Click to see the answer

Q: Find the average value of y = x' /x* – 1 on the interval [1,3]. A. 216/5

A: Click to see the answer

Q: 5.Find the maximum of Q=xy if x+y=42. The maximum value of Q is Q=?

A: Click to see the answer