dy Find -given that dt dx x2 + y? = 2x + 4y, x = 3 y = 1, and 7 dt dy dt

Q: Q6. Assume the cost of each basic operation is 2 millisecond. Then, the estimated running time of th...

A: In (a<b), there is one "less than(<)" operation which needs 2 ms.  In ((c+5) >= d), there a...

Q: Q1: Solve the following linear programming problem graphically Max z = 4x, + 5x, Subject to 3x1 + x2...

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Q: 2. Let char F = 0 and f(x) E F[x] be a monic polynomial having positive degree. If d(x) = gcd(f(x), ...

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Q: 6s – 5 3. '. 452 4s +7

A: The inverse Laplace transformation formula states that L-1ss2+a2=cosat, L-1as2+a2=sinat. Simplify th...

Q: 2. Let the rref of a matrix A be, (1 0 2 0 -2) 0 1 -5 0 -3 00 0 1 6 Determine A if the first, second...

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Q: 2. Let the rref of a matrix A be, 1 0 2 0 -2 0 1 -5 0 -3 0 0 1 6 Determine A if the first, second an...

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Q: Find the area of each trapezoid, rhombus, or kite.

A: Given figure is The given shape is of kite with diagonal 12 mm and 14 mm Take diagonal d1 =12 mmd2 ...

Q: et f(X) = X³ – X² + X – 6. Do the following. (a) Find Galo(f(X)). (b) Let F = Q(/11i). Find Galf(f(X...

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Q: Using Newton-Raphson method, show that VN is given by Pn+1 N Pn + "dL){ =

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Q: 1. h(t) = t 2 sin(2t) 2. g(t) = t 3/2 3. f(t) = (10t) 3/2

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Q: 2-5s (s-6)(s2 +16)

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Q: Find two fourier expansions for the function h(r) = sin(r). In one expansion, all the sine terms sho...

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Q: 4.x2 with f'(x) = x(x+8)(x - 2) (x+ 2)3 8(7x – 4) (x +2)4 f(x) = and f"(x) = %3D (x + 2)2 a. Find th...

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Q: Test for exactness. If exact, solve. If not, use an integrating factor as given or obtained by inspe...

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Q: Solve the following. A. Cards If a card is drawn randomly from a deck of 52 cards find the probabili...

A: Given, A card is drawn from a deck of 52 cards. To find -1. Probability of getting red              ...

Q: 11. a. For the function f(x) = (3x+2), let x, =-1, x, =0, x, =1. Construct interpolating polynomial ...

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Q: Find the derivative of the function at Po airection oT u. f(x, y) = 3x 2 + 4y, P o(8, 7), u = 3 i - ...

A: 1. Given f(x, y) = 3x2 + 4y and u = 3i - 4j u^ = 1|u|u = 15(3i - 4j) ∇f·u^ = (i^ddx(3x2+4y) + j^ddy(...

Q: Writing logical notations to compound statements Let p: Man is rational. q: A century is 100 years. ...

A: The logical symbol "∧" is used to denote "AND". The logical symbol "∨" is used to denote "OR". The t...

Q: 1+ax dx Evaluate log 1-ax x 1-x

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Q: Given the graph of r sin 2y = y cos 2x pictured at right, what is the point-slope equation for the t...

A: The derivative of the function y'=dydx is the measure of how fast the function is changing with resp...

Q: [1 3 1 -1 Let A = |0 1 2 3 -2. Which of the following sets is a basis for the null lo o 1 4 space of...

A: Let ,  A = 131-100123-200144 We need to find Basis for null space of A. For that , first we will fin...

Q: Let n > 2 and let æ1, x2, ... , Xn+1 € R with x; x1 for all 2 j Hint: You may use the elementary fac...

A: “Since you have asked multiple questions, we will solve the first question for you. If you want anys...

Q: Let x(t) = [x1(t)] [¤2(t) be an unknown vector-valued function. The system of linear differential eq...

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Q: 4. Use the Laplace transform to solve the IVP a" + 4x' + 4x = 4e24, r(0) = 0, r' (0) = 1.

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Q: Let x be a continuous random variable that is normally distributed with mean u = 26 and standard dev...

A: This is a problem of Normal Distribution.

Q: 2. Let the rref of a matrix A be, (1 0 2 0 -2 0 1 -5 0 -3 0 0 0 1 6 Determine A if the first, second...

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Q: Let x and y be non-negative real numbers. Arithmetic mean of x and y is defined by 2, and the geomet...

A: The problem is related to descriptive statistics. Under statistics the arithmetic and geometric mean...

Q: Find the area of the part of the surface ¤= (y/2 + z3/2) with y E [0, 2] and z E [0, 2]. Area =

A: For the solution of the problem follow the next step.

Q: Let -2 М- -16 Find formulas for the entries of M", wheren is a positive integer. M" =

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Q: 3s-2 2s2-4s+2

A: The given function is                                             3s-22s2-4s+2

Q: Q.3. Find the Fourier series for the function -1, if – n<x <- 0, if -<xs. 1, if플<xSn 2 f(x) = 2 defi...

A: The given problem is to find the Fourier series expansion of the given periodic function with given ...

Q: Which of the following series is convergent? (1) to cos(nn) 5n+1 (1) E (II) E n? !5+2n² (III) E +00 ...

A: 1)  ∑n=1∞ cos(nπ)5n+1 cos(nπ) = (-1)n ∑n=1∞ (-1)25n+1 Here limn→∞ 15n+1 = 0   and 15n+1 is decreasin...

Q: 23. Let A be a non-empty set of positive numbers, which is bounded above and let B = {xe R: 1/xe A}....

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Q: 5. Find the general solution to the differential equation e-y" = (y')? (where y' = ) dx

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Q: Writing logical notations to compound statements p: Man is rational. Let q: A century is 100 years. ...

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Q: СВ

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Q: In a three-dimensional vector space, consider the operator whose matrix, in an orthonormal basis {| ...

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Q: 4. Use the Laplace transform to solve the IVP a" + 4x' + 4x = 4e24, r(0) = 0, r' (0) = 1.

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Q: Find the smallest equivalence relation (namely an equivalence relation with the fewest number of pai...

A: Find the smallest equivalence relation such that { (a,b), (a,c), (a,d), (d,e) } is a subset of equiv...

Q: -4-7+7Xe Please fill in a question quickly within a quarter of an hour

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Q: Given the system of equations, use Gauss elimin-

A: Given,         -3x2+7x3=2 x1+2x2-x3=3       5x1-2x2=2

Q: -4 9 Figure out whether the matrix B = is diagonalizable or not (i.e. whether R2 -4 8 admits a basis...

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Q: Use any appropriate method in finding the indicated solution of the following differential equations...

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Q: Evaluate SS 5ex+y+" dV over B where B = {(x, y, z) : x² + + z² < 1}. Take = 3.

A: The integrals in the form ∭f(x,y,z)dV is called a triple integral. In this problem, we have to evalu...

Q: Given two relations R1 {(a, 1), (b, 3), (c, 4), (d, 1), (d, 2)} dan R2 {(w, 2), (w, 4), (y, 1), (z, ...

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Q: In problems 1 - 5, determine if the sequence is bounded. If so, is it convergent? Find the magnitude...

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Q: 5. Find the extremum points of the function (the minimum and maximum points, the values of the funct...

A: Given:y=2x3-15x2+36x-14

Q: A group took a trip on a bus, at $2 per child and $4 per adult for a total of $110. They took the tr...

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Q: (b)(i) Use Mathematical Induction to prove that for all positive integers n 21 1 1. 1 一 -十 +... 1x3 ...

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Q: Exercise 6 Consider the following table of data: 0.2 0.4 0.6 0.8 1.0 f(x) 0.9798652 0.9177710 | 0.80...

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