12. Fj; S is the part of the cylinder lying above the curve in the xy plane expressed in polar coordinates by r = 2 + cos , and below the cone z² = x² + y2, with normal pointing outward. = y between the

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A: Given f'(x)=3/x and f(x) passes through the point (1,4).

Q: n Use induction to prove: for any integer n ≥ 1, Σ(6j – 4) = 3n² – n. j=1

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Q: (B) Suppose that g(x) is a real analytic function such that: Find g(7) (-3) (derivative of order 7).…

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Q: Suppose f'(x) = cos(x2) and f(0) = 2. A. Use a graph of f'(x) to decide which is larger: A. f(0) OB.…

A: Given information: f'x=cosx2 and f0=2 To find: a) Use the graph of f'x, estimate where the function…

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Q: la Show that 3 ( 1 + x²) dy = 2xy (y²-1) is a benaurllic equation (1) Using the appropriate…

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Q: 3) Give an example of a function flz) which has the following properties. Justify your answer. with…

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Q: Question 10 A <[m]On|u|u B C L D E A 20 12 42 B 20 -- 6 F 43 44 C D E F 12 42 39 43 4 18 44 3 26…

A: From the given matrix, we see the weights of the edges of the given graph are as follows.      AB :…

Q: (a) Calculate the Taylor polynomial T₂(x) at 1 for the function x+1 z+3' Show that T₂(x)…

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Q: Jse a calculator or program to compute the first 10 iterations of Newton's method for the given…

A: Given function, f(x) = 3sin(x)+5x-1 with x0=1.6  Then, f'(x) = 3cos(x)+5 By Newton's method,

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A: The given slot numbers are 1,2,3,..,9. The 3 balls given to the player ends at three of the given…

Q: inates. coordin (b) by symmetry considerations, without . 5. Given F= xi + yj + (z² − 1)k, find ff…

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Q: polar coordinates by r = 2 + cos 0, and below the cone z² = pointing outward. F = j; S is the part…

A: Given the vector field F=0,1,0 and S is the part of the cylinder lying above the curve r=2+cosθ and…

Q: Let y = -16x² + 160x256. Given that y has a maximum value, find a) the value of x. b) the value of…

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Q: T√x Jo f(x, y, z) dz dy dx Rewrite this integral as an equivalent iterated integral in the five…

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Q: [15] (4) GIVEN: z = f(x, y): = x²y, where (x, y) is subject to the constraint: T: x² + xy + 7y² 27,…

A: This is a quadratic equation in y , so find factorisation of equation (5) .

Q: 2. Consider the parametric curve r(t) = (2t², t – 1,3 - t²), tER. (a) Find parametric equations of…

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Q: Find bases for the null space and row space of A. A= 1 3 -1 3 Enter the basis for the null space,…

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Q: Learning Target INT4: I can evaluate a definite integral using geometric formulas and the Properties…

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Q: 3t 4. Write down the undetermined Yp(t) for y" - 2y' - 3y = te³t using the Method of Undetermined…

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Q: Determine the truth values of each of these statements if the domain for all variables consists of…

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Q: Find the general solution of the differential equation (D4 + 6D³ +9D²)(D + 1)(D + 2)(D² + D + 1)(D²…

A: We will find the roots of the auxiliary equation.

Q: ion of the IVP wrong and why? Sy' = 3y²/3 y(1) = 0.

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Q: A weight of 900 pounds is suspended from two cables as shown in the figure. What is the tension in…

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Q: Find a public key for RSA cryptography based on the prime numbers p = 13 and q = 7. Write down the…

A: We are to find a public key for RSA cryptography based on the prime numbers p = 13 and q = 7 Write…

Q: In Exercises 3 and 4, use the factorization A = PDP-1 to compute Ak, where k represents an arbitrary…

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Q: 14. Use spherical coordinates to set up an integral that would give the volume of the region…

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Q: 9. Simplify, stating your answer 3 AC using positive exponents: - 6x³y 2x²y³

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Q: A 10-year annuity is payable continuously at the annual rate of $1. 2 Find the present value of this…

A: Annual rate=$1Force of interest at time t is δt=2100+5tTime=10 year

Q: 15. Point P(-4,5) is on the terminal arm of an angle of measure in standard position. Determine the…

A: Please refer to solution in next step.

Q: If E[X] =- = -4 and Var(X) = 3, then E[(1+5X)²) = 246 and Var(2+3X) = 27 ease solve the first blank

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Q: Find a decimal approximation to 100 sin (65) correct to 38 significant figures and enter your answer…

A: The expression given is 100sin65. To find- The decimal approximation of the given expression correct…

Q: Given the function u(t)=sin(2-sin(4t)) and the mesh ti to + ik, where to म 4' determine the backward…

A: As per the Bartleby guidelines, we can answer for first 3 sub parts, If the multiple sub-parts in a…

Q: Use the Frobenius method to find all terms of the series representation around 20 = 0 for the two…

A: The Frobenius method is an approach to identify an infinite series solution to a second-order…

Q: Let f (x) = 1/x, for all x not equal to 0. Prove: (i) f is uniformly continuous on (1, infinity)…

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Q: Let A be an n x n matrix, and suppose that the only eigenvalues of A are 0, 1, and 2. (a) Prove that…

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Q: Find ||f||sup if - f(x) = x on (-1,1). -. f(x) = 0 {²-2² if x EQ, -x² if x #Q, for all x ER.

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Q: Encode the message "CRYPTOGRAPHY" using matrix A. Remember to partition the numerical message into…

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Q: Suppose A, B and Care 3 x 3 matrices with det (A) = 3, det (B) = -2, and det(C) = 3. Find det…

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Q: Let (x, e) and (y, d) be metric space with e(x, y) = { 1 and let fr→y be a function. Is f…

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Q: (2) Calculate the flux of F(x, y, z) = (x², y², z²) outward across the boundary of the domain D =…

A: Here S is the boundary of a sphere which is closed so we can apply Gauss Divergence Theorem.

Q: 5a) 8mm R C) 10M 14mm R 4M S fu L b) H 10CM M 10 13CM (1

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Q: Express the function below using window and step functions and compute its Laplace transform. g(t)…

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