Using the Cylindrical Shells Method, find the volume of a sphere of radius 5 cm with a cylindrical hole of radius 3 cm.

Q: 3 limy 0 1 - x!

A: This is the problem of limit and calculus.

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Q: How many ways can you choose 3 people to form a committee from a group of 10 people? 10! 7! 10! 3!7!...

A: The numbers used for the counting are called natural numbers. The continued product of first n natur...

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Q: A soccer ball manufacturer is planning to expand its workforce. It estimates that the number of socc...

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Q: A statue 10 feet high is standing on a base 13 feet high. If an observer's eye is 5 feet above the g...

A: Given,  A statue 10 feet high is standing on a base 13 feet high, If an observer's eye is 5 feet abo...

Q: Evaluate w f(x, y, z) dV for the function f and region W specified. S(x, y, z) = 78z W:x s ys 1,0<x<...

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Q: |2 In x 1 et 2 1 In 2x

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Q: Let S be an nonempty open connect subset of R^2. What is the number of possible continuous onto func...

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Q: Solve the ODE : X+5xy+9y=0,x> 211

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Q: Find the triple integral of the function F(x, y, z) = z over the region in the figure. Assume that a...

A: Our first task to determine the equation of the plane lying above xy-plane and standing on x-axis.

Q: Properties of Laplace T. Find the Laplace Transform 1.f(t)=-e-sin4t +3

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Q: Find AB and BA. 1 0 [0.73 -0.81 A = and B = 0 1 0.86 0.45 Part: 0/ 2

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Q: Given 34 – 17s F(s) = (2s – 1)(s2 – 2s + 5)' use the table of Laplace Transforms to find L '{F(s)}.

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Q: Use the method of variation of parameters to find the general solution of the differential equation ...

A: We have to find the general solution of given differential equation by the method of variation of pa...

Q: 1. You are given that u, v, w are vectors in R4 such that |/|| = 5, ||v|| = 7, ||w|| = 9, u v = -20,...

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Q: If f is bounded and integrable on [a, b] such that | f(x) | 0).

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Q: Draw a line on the graph that will intersect the given line at the point (3,2) ei Jor

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Q: (Blank 1): Let y = f(x, z) = 2x + 3xz² – z and z = 2 + x. Find | dy evaluated at x=2. dx

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Q: Use proof by contradiction to prove that if a and b are odd inte- gers, then 4 (a² +b?).

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Q: What is the formula for a projection of u onto d where d # 0? Find two different 2 x1 vectors u such...

A: We are only allowed to solve one question at a time and up to three sub-parts. So, we will answer on...

Q: If fG)=e*, ond the Wronstian, waf,g)-20x, find gl)

A: Here wronskian is given and one function is given we have to find other one g(x) 

Q: Use the Monotone Convergence Theorem to show that the sequence {an} converges, where +00 an = 1 - n!...

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Q: 5. Given sets A and B, define their symmetric difference as AAB = (A – B) U (B – A). Use the set pro...

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Q: Type the correct answer in the box, In 1979, the price of electricity was $0.05 per kilowatt-hour. T...

A: Given: The price of electricity in 1979 is 0.05$ The increase in rate annually is 2.05% To find the ...

Q: Question 2) Solve the initial value problem having the initial conditions. (Hint: Each time, integra...

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Q: 2 sin z = 4+51

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Q: Use the Comparison Test to determine if the series 2+ In n n sin? n n=1 converges or diverges.

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Q: Ao E F Figure 1 O A) There is a circuit. O B) There are multiple edges. O C) It is a connected graph...

A: We have given a graph.

Q: 37. Which of the following accurately shows the constraint on the daily capacity for the third produ...

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Q: Use the Comparison Test to determine if the series converges or diverges. 5n – cos2n n3 + n2 + 1 n=1

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Q: Find the roots: x3 = -2

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Q: Find the specific solution to the following 2nd order non- homogeneous differential equations b) d²y...

A: Given d2ydx2 + y = sin(x)

Q: Answer the following questions: 1. Bring out the different uses and the application of Business Math...

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Q: Find the pattern of addition/subtraction from one x-value to the next and from one y-value to the ne...

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Q: Think back to early in the semester when the weather was cold and often snowy. Imagine that in a par...

A: Note: It is assumed that the base of the mound is square.   The volume of a square pyramid is calcul...

Q: Show that the following sequence, {an}, 'n = 1 %3D converges where Vn = 1 - п! an - using Monotone C...

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Q: Show the boundary value problem, or show thatA hao no solition: polution' y"-4y=sinG), yCo) =0; yCW@...

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Q: please send handwirtten solution Q3

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Q: Find the slope by counting rise over run. Simplify if needed.

A: Use the given graph to evaluate the slope.

Q: Use the Comparison Test to determine if the series 2+ In n n sin? n n=1 converges or diverges.

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Q: How many ways can you draw a 5 card hand from a deck of cards if 2 cards are red and 3 cards are bla...

A: Correct ans is option C

Q: What is the median of the box plot below? 468 10 12 14 16 18 20 22

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Q: cos x xp - cos? x d)

A: Here we have to find anti derivative of d) 

Q: +00 nyn n² + + 2-n n=1

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Q: What is the y-intercept for each equation? Write your answer as a point. a. y=3x-7 b. y=8-5x

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Q: 1. Let x, y ∈ Z. Use a direct proof to show that if x + y is even and x is odd, then y is odd.

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: • Determine the maximum revenue and the production level that will realize this. • Assume that Plan ...

A: The number of units sold multiplied by the average sales price equals revenue, which is computed by ...

Q: Activity Solve the initial-value problem 1. y" - 3y' – 10y = 0 , y(0) = 0 , y'(0) = 7. 2. y" + 14y' ...

A: Note: We are entitled to solve only one question at a time. As the specific number is not mentioned,...

Q: Let H be a solid region given by z2 Vz? + y? and x2 + y? + z? < 6 whose density at any point is give...

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