Question
a. In your own words explain where this formula comes from. Recall that the surface area of a sphere
of radius r is 4rr².
b. Use integration by parts to evaluate this integral.
Expand
Transcribed Image Text

a. In your own words explain where this formula comes from. Recall that the surface area of a sphere of radius r is 4rr². b. Use integration by parts to evaluate this integral.

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
Math
Advanced Math

Integral Calculus

Related Advanced Math Q&A

Find answers to questions asked by students like you.

Q: Please explain how there is aa^-1

A: Since we know that Multiple of an element and it's inverse gives identity element so with the help o...

Q: Check that the indicated function is an explicit or implicit solution of the given differential equa...

A: Consider the differential equation dydx=xy+3x−y−3xy−2x+4y−8 Hence,  dydx=xy+3x−y−3xy−2x+4y−8       =...

Q: Use the elementary row operations and the Gauss-Jordan method to solve the linear system Xj - 3x, – ...

A: Click to see the answer

Q: 1.Compute the unit tangent vector to the curve parametrized by r(t)= (t,t^2,t^3) at the point r(1)

A: r(t)=(t,t2,t3) The unit tangent vector is given by T(t) the formula for which is discussed in the im...

Q: (a) The hyperbolic sine function is defined as follows: e² – e- sinh = Why would we get a loss-of-si...

A: Click to see the answer

Q: Find the angle between the vectors. (First find an exact expression and then approximate to the near...

A: Click to see the answer

Q: discrete mathematics

A: Given-  A=1,2,3,4 Relation R on A whose matrix is MR=1011010100101011  

Q: Show your all calculation

A: First we have to calculate given result -

Q: Problem 5. Let R[r] be the set of polynomials in x with real coefficients, and define the degree of ...

A: Given,  

Q: he total costs for a company are given by C(x) = 4000 + 70x + x2 and the total revenues are given ...

A: Click to see the answer

Q: Advanced Math Question

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve the fir...

Q: Complete the given sentence. (Enter your answers as a comma-separated list. If there is no such poin...

A: Draw the graph, as follows:

Q: Solv step by step please

A: It is required to solve the given differential equation:

Q: Solve the given pair of equations simultaneously. Then sketch the graphs of the equations and label ...

A: The given equations are  2x+3y=15          14x-9y=3             2 Multiplying  the first equation by...

Q: Over what interval on the graph shown will the Intermediate Value Theorem (IVT) apply? 30 15 -1 -0.7...

A: Click to see the answer

Q: Can you help me understand this question?   I will rate thanks!

A: Click to see the answer

Q: Recall that the handshaking lemma says that the total degree of aloopless graph ? is twice the numbe...

A: Click to see the answer

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) The line throug...

A: Click to see the answer

Q: Prove that if A ⊆ B and both sets have minima then min B ≤ min A

A: Click to see the answer

Q: 2. Draw a right triangle to present the angle involved in the expression, then write the ex- pressio...

A: Click to see the answer

Q: Triangle ABC has points located at A(−2, 2), B(−2, −2), and C(3, −2) . Triangle A'BC' is a dilated i...

A: Click to see the answer

Q: 1. Consider the ordinary differential equation [8+8+8] dy dy dx? 2y = 0 dx (1) (a) Classify (linear ...

A: Click to see the answer

Q: x(0) = -2 () 30 If y(0) I and y(1)-2, what is x(0)?

A: Let

Q: Finite Mathematics. you are given that A, B and C are sets that A ∪ B ∪ C={1,2,3,4,5} and  A ∩ B ∩  ...

A: A,B,C  are sets that  A∪B∪C={1,2,3,4,5} and A∩B∩C={}

Q: Maximizing area. Grayson Farms plans to enclose three parallel rectangular livestock pens within one...

A: (a) Let the dimensions of rectangular plot are as follows

Q: 1.Compute the unit tangent vector to the curve parametrized by r(t)= (t,t^2,t^3) at the point r(1)

A: Click to see the answer

Q: Data about recent federal defense spending are given in the accompanying Statistical Abstract of the...

A: We are entitled to solve only 3 subparts at a time so I am providing you the same. Kindly repost the...

Q: The subject is surface and volume

A: Click to see the answer