1. Use the cylindrical coordinate to evaluate ff. x² + y²dV _where G is the solid bounded by xy-plane and above by z = 4 – x² – y²

Q: Find the volume of a cone with a base diameter of 7 yd and a height of 6 yd. Write the exact volume…

A: Note: We have the volume of a cone  V=πr2h/3 cubic unit. r is the radius of the base and h is the…

Q: 1. Using Three point Forward difference, Backward difference, Central difference formula numerical…

A: To use three point Forward difference, Backward difference, Central difference formula to find…

Q: TOPIC: Applications of Integration Plane Area Area between curves Volumes of Solids of…

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Q: (a) A large water jug is full of water. After 24 litres of water are added, the jug is full. What is…

A: A large water jug is 1/4 full of water .After 24 litres of water are added the jug is 5/8 full . To…

Q: Cable ACB supports a load uniformly distributed along the horizontal as shown. The lowest point C is…

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Q: 1 X(z) = (1– 2-')(1– z-3)

A: To Solve using partial fraction: X(z)=1(1-z-1)(1-z-2)

Q: Find the inverse Laplace transform for (a) F(s) = (s2 – 2s + 5)

A: # We are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: 4) z = loge(7 + j)*

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Q: 12.(Straightforward) Solve this third-order ODE by using the method of undetermined coefficients: y"…

A: Introduction: In order to determine the particular solution of a linear non-homogeneous differential…

Q: 1. Exercise. Suppose p : R → R° and q :R → R° are vector-valued functions. Further assume p'(-1) =…

A: We have to find v'(-1).

Q: Find the Inverse Laplace Transform. 98-8 F (s) = %3D 82-4s+20

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Q: How many values are in the range 17 to 118? 67.5   135   102   100

A: Range = maximum - minimum    Number of values = 118 - 17 = 101

Q: 2. Given the matrix A below, [1 1 0 11 0 2 1 2 A = 2 10 1 L2 0 1 4- solve for det inv A.

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Q: Use the third Taylor polynomial P3 (T_

A: Given,           f(x)=xln2x about x0=1

Q: Find the solution for the system of Linear equations using Gauss-Jordan Elimination of the augmented…

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Q: A plane carrying food and water to a resort island can carry a maximum of 2700027000 pounds and is…

A: Let x represent the number of food containers and y represent the number of water containers. From…

Q: 1. Complete the following table by placing ticks () to show which of the number sets N, Z, Q, R…

A: We will have to fill the given table that is we need to tell that which of the number sets ℕ,ℤ,ℚ,ℝ…

Q: Problem 8. (True or false.) Determine whether each of the following statements is true or false, and…

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Q: G14. Draw two 'different' graphs with five vertices and degrees {1, 2, 2, 2, 3}.

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Q: D

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Q: z = e(4+j3) In(6230°)

A: We evaluate  z=e(4+j3)ln(6<30°)

Q: 3) The complex conjugate of z is denoted as z. Solve for z in the equation: 27(1- j2) j 2-j3 1+ j2…

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Q: 6. Charles would like to buy a new car that costs $ 32000. The dealership offers to finance the car…

A: Solution:   If he chooses option 1, let's find out the total amount paid. Principal = Monthly…

Q: Find the area of the region bounded on the left by x = y? and on the right by x = 3 – y?. O a. 7 sq…

A: Given: Equation of curves  x=y2x=3-y2

Q: Compute log r dr 1+x²

A: Solution is given below;

Q: QUESTION 5 Find all possible homomorphisms for Z4Zg and determine the kernel of each of these…

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Q: 1) Calculate the real values of x and y such that (x + jy)3 is real and |x + jy| is 8.

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Q: Consider randomly selecting a student at a large university, and let A be the event that the…

A: Given P(A) = 0.6 P(B) = 0.4 P(A ∩ B) = 0.5

Q: QUESTION 4 Determine whether A, is a subgroup of S, by using the definition of a normal subgroup. 3.…

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Q: We study the residue of functions of the form g(z) = 8 in a domain D. The singularities of g(2)…

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Q: 26. 27. Em티|mm끼|EEEE ? E 23. ADA|0O0|000|00 ?

A: As per Bartleby guidelines we're supported to answer only first three subparts. Kindly repost rest.

Q: A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle…

A: Given:   A training field is formed by joining a rectangle and two semicircles, as shown below. The…

Q: G11. Can there be a graph with 8 vertices and 29 edges? Justify your answer.

A: see attached image below

Q: Find the exact arc length of y 3 1 over [1, 2]. 4x -

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Q: 7. For the following function: f (x) 2 log3 (2x + 3) – 4 state: a. the transformations applied to…

A: a) To find domain, intercepts, and asymptotes of the given function, and to draw its graph.…

Q: Find all positive primes p such that n = 1001p satisfies that a" = a mod n for all a.

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Q: 1. Find Solution using Newton's Forward Difference formula f(x) 0.10 0.1003 0.15 0.1511 0.20 0.2027…

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Q: 7.(This one is a gift) Consider a homogeneous differential equation, p(x, y) dx + q(x, y) dy = 0,…

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Q: ×- -X+ し SY STEM = ニ メ=ーと 2) a tbt ーt ニ t d山

A: This is a problem of linear transformation.

Q: An engineering construction firm is currently working on power plants at three different sites. Let…

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Q: Find the projection o

A: Introduction: The formula of projection of vector u onto the subspace  w spanned by (x,y) is given…

Q: Of a lot of 10 items, 2 are defective. The number of samples of 4 containing (1) no defectives is…

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Q: As an easy exercise, check that you believe that lim [0, 1- 1/n] = [0, 1) %3D lim [0, 1- 1/n) = [0,…

A: limit is that value of function at which function approaches to output at any given input. The…

Q: In Problems 25–28, express the solution of the given initial- value problem in terms of an…

A: Introduction: A first order linear differential equation is solved through finding the integrating…

Q: How many positive integers not exceeding 3000 are divisible by exactly two of 4, 10, 12? (Steps…

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Q: dy y +x dx ||

A: # We are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: dQ 21. t + Q = t*Int dt 22. (2x + y + 1)y' = 1 23. (x2 + 4) dy = (2x – 8xy) dx | 24. (2r cos 0 sin0…

A: Divide both sides of the given equation by t to obtain standard form. tdQdt+Qt=t4lnttdQdt+1tQ=t3lnt…

Q: Question 8 Find the solution. (D³ –2D2 -5D +6)y =0; when x =0, y=1, y'= -7, y"= -1 A y = -e-3 + 2e2*…

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Q: Find the Inverse Laplace Transform. Y (s) (s-5) (s² -6s +25) O est cos(4t) – e3t sin(4t) O est…

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Q: . Solve the variational problem +2y (x +y)] dx = 0, given y (1) = y (2) = 0. %3D

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