3.(a) Convert the rectangular point (-3, 7) into polar coordinates, showing your work. Give 2 different answers, one with a positive rand one with a negative r, using radian measure as always.

Q: 3 dx dy into polar integral. Change the double integral 4VX² + y? Do not evaluate the integral

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Q: 3. log, 2k

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Q: Find the eigenvalues of the matrix -43 60] A |-30 42 The eigenvalues are (Enter your answers as a…

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Q: Question 1-4 Which of the following describes the translation of fr 1 +22 I-3 O Translate f(x) 2…

A: Given f(x) = 1x and g(x) = 1x-3 + 2

Q: Suppose there are n lines in the plane, no two are parallel and no three are intersecting at one…

A: suppose there are n lines in the plane ,  no two are parallel  implies, each line intersect every…

Q: QUESTION 5 What is the best description of the surface parametrized as x=3+u, y=3-v, z=3+u+2v. with…

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Q: u(x1, x2) differentiable. let v(u) be a monotonic transformation of u. solve max v(u(x1, x2)) s.t.…

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Q: 13. Solve for A and B. - 7x +8 A B %3D 3x +x-2 3x-2 x+1

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Q: Example:4 Verify Cayley-Hamilton theorem. Hence find 2 -1 A-1, A -1 2 -1 1 -1 2

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Q: 1. Let A = {m,2m,3m,...} where meP; that is, Aconsists of the positive integers of т. Find: a) ANA,…

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Q: Q3: Consider the CT signal to compute y(t) = x(t) h(t) h(t) X(t) 1 2 2.

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Q: Find the area of the shaded region. NOTE: Enter the exact answer. y = x2 + 2 %3D y = x 4.

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Q: Problem 3: (a) Compute 71529 (mod 51). Show your work. (b) Compute 9-1 (mod 19) by listing the…

A: a. To compute 71529 mod 51. As per Fermat's Little theorem ap-1≡1 mod p if a and p are relatively…

Q: a) Yt+1 = 2yt - 10 b) Yt+1 = Yt c) ye = 0.5yt-1+1 %3D

A: This is the problem of recurrence relation.

Q: 7. Use the Euclidean algorithm to find the greatest common divisor of 142 and 3084.

A: By the Euclid division lemma If a and b be two positive integer then there exist unique positive…

Q: 1. In items a through c, do the following: (i) Sketch the graph of the function; (ii) determine if f…

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Q: Calculate the Laplace transform of 4. f(t) = tcos bt

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Q: Question 1-3 Use the dropdown menu to indicate whether each statement is TRUE or FALSE about the…

A: (a) Simplify the function fx=x-6x2-36 by factoring the denominator and canceling the common factor.…

Q: Describe the key difference between a binomial and a geometric distribution. binomial distribution…

A: We want to find key difference in binomial and geometric distribution.

Q: 10. Solve the following IVP using Fourier Transform: -00 0, u(x,0) = e, -0 <r < oo.

A: Solution

Q: Ms. Rosalyn Del Rosario, a part-time lecturer at a university, gets paid on a per-hour basis. Her…

A: Given: Rate per hour = P350.00 Work per day = 6 hours. Number of working days in a week = 6 days.

Q: Determine the Laplace Transform of the following: 1. te-3t + tcos2t + e-3tcos2t 2. te-3'cos22t 3.…

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Q: How much is the maturity value if 14,500 is placed in an account earning 6.25% simple interest for…

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Q: Given: S10.re", f(r) = 2r+3r2- 12r, r20 I<0 a. Find all the eritical numbers of f. b. Find the…

A: As per the company rule, we are supposed to solve only one problem from a set of multiple problems.…

Q: 3. Express each of the following English sentences as a proposition and determine whether this…

A: Let: p: There is food in the dorm q: I will go to the store r:I will get a drink   So, the first…

Q: Find the Volumes for the fallowing solids heights are defined by ZCXyy) and bases are the regions…

A: Volume bounded by the xy-plane

Q: 200 201 Σ2/-Σ 20-1) . i = 0 j = 1 O True False

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Q: 3t and y = 1+r 3t Convert the parametric equations to polar form, sketch the graph and find Let x =…

A: Solution

Q: 2. Use zero- through third-order Taylor series expansions to predict f (3) for f(x) = 25 x3 - 6x2 +…

A: f(x) = 25 x^3 - 6 x^2 + 7 x - 88 f`(x) = 75 x^2 -12 x + 7 f``(x) = 150 x - 12 f````(x) = 150

Q: Solve the given system of equations by either Gaussian elimination or Gauss-Jordan elimination. (If…

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Q: (z- 1) (+1) (- 6) (z- 1) ( – 1)(z – 6) (z – 1)(x + 1) (- 1)(x+1)(2 - 6) () O O

A: Follow the steps

Q: Prove that the function f(x1,x2) = In (e*i+= + eV=i+1) is convex over R².

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Q: Let P3 is the vector space of polynomials of the degrees3,Consider the polynomials…

A: Given :  P3 is the vector space of polynomials of degree less than or equal to 3. To prove :  We…

Q: Exhibit 1. Solver Sensitivity Report. A B C D E F G H 6 Variable Cells 7 Final Reduced Objective…

A: Given,Solver Sensitivity Report To find: Optimal objective function O(f).

Q: Find a particular solution y, of the following equation. Primes denote the derivatives with respect…

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Q: Solve the following initial value problem. y'' + 25y = 3x; y(0) = 1, y'(0) = 5 The solution is y(x)…

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Q: Let C be a curve that is defined by x = 4 sin t and y = cos t, t e [0, 27). Determine (a) the time…

A: Given parametric equations are: x=4sint, y=cost,   t∈[0,2π]. We need to solve (b) part.

Q: Solve the minimization problem min 2x7 + 3x + 4.x% + 2x1x2 – 2x1r3 – 8x1 – 4x2 – 2x3 - | | s.t. *1,…

A: This is a problem of optimization.

Q: For the system fi(x) = 10 x1 sin x2 + 2 = 0 f2(x) = 10 (x1)² - 10 xị cos x2 +1 = 0 a. Using the…

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Q: 4. (a – bt)?

A: Consider, a-bt2Suppose ft=a-bt2Then ft=a2+b2t2-2abt

Q: 1. How many hexagons are there in this picture? Show how you can compute the number without counting…

A: Solution

Q: p Let E be the region in R3 that is under the plane x + 2y – z = 0, and in the xy- plane it is…

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Q: (d) the equation of the line tangent to the curve at the point where (i) t =, and (ii) t = . = 17

A: We have x = 4sint,  and y = cost

Q: Example :- Solve the following differential equation where d²y + y = 0 dx2 Subject to boundary…

A: As per the question we are given a second order linear homogeneous differential equation with…

Q: Find the interest earned after 3 years if P12 000 is deposited a savings account which earns 5%…

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Q: 2. Using the matrix Q from above we define B QQ'. An SVD for B is B = UEVT 0 1 0 (a) Explain why B…

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Q: Name and sketch the graph of the surface with equation +z? -=1 In case of quadric surface discuss…

A: This is a problem of 3D geometry, and calculus.

Q: Describe the solutions of x1 + 2x2 – 3x3 = 5, 2x1 + x2 – 3x3 = 13, and –x1 + x2 = -8 %3D in…

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Q: In this group of problems, you are given two statements, A and B: determine whether one statement…

A: Solution

Q: 1. Given the function f (x) = 5x2 - x - 2, Determine the approximate root of the %3D function and…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…