How did you get 1/2r^2?

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A: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral

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Q: Sketch the curve y = the value of the integral √1+ x³, and use upper and lower Riemann sums with 5…

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Q: 2 2 M = 5 -3 3 0 0-2 -1 -1 -1 -1

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Q: Find the Four Fundamental Spaces of A. [135 0 0 1 4 -2] A =

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Q: Question 1 Consider the function f: R → R, given by f(x) :((m + 1) - mx) (x+1), = (+) (a) Find the y…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

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Q: 4) Determine whether the matrix transformation T₁: R3 R3 is an isomorphism. - 0 1 -11 0 1 A= 1 2.…

A: We use basic results from Linear Algebra

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A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: Determine whether the given subset is subspace of R^3 W={(x1,x2,x3):x1+x2+x3=0}

A: Let the subset W is given as W={(x1,x2,x3)| x1+x2+x3=0} Determine whether the given subset is…

Q: 1. Rationalize the following fractions:

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Q: Compute 9-¹1 (mod 19) using Fermat's Little Theorem. Show your work.

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Q: (A proof using 'Truth table' is not acceptable.) (2) (a) (b) Let k be an integer. Prove that if k²…

A: We use Contradiction method to prove our given result.

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Q: (b) Compute 9-¹ (mod 19) by listing the multiples. Show your work.

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Q: C B G F E D A

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Q: Approximate the area under the curve y=x3 from x=0 to x=2 using a Right Endpoint approximation with…

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Q: Suppose that following is true. √x²+2 13x²-2 f(x) = x if x ≤ 0 if 0 < x < 1 if x ≥ 1 What is lim…

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Q: Use a sixth-degree Taylor polynomial centered at zero to approximate the definite integral. (Round…

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Q: Free carrier absorption in a semiconductor generally

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Q: Use Laplace transforms to solve the following initial value problem. x' + 6x' + 25x=0; x(0) = 5,…

A: given differential equation is                                               x''+6x+25x=0; x(0)=5,…

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Q: Find two power series solutions of the given differential equation about the ordinary point x = 0.…

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Q: 32 Determine which of the following power series is equal to the function f(2)= -√² < x < V₂ 2+2²…

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Q: 11. projection of y onto W = span{u₁. u2}. 2. Let y = 3, U₁4 U₂ = 3 Very that (u₁. u₂} is an…

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

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Q: n>=0

A: According to the question,    False. This statement is not true for all integers n &gt;= 0. A…

Q: Solve the linear programming problem using the simplex method. Maximize P=2x₁ + 3x₂ + 4x3 subject to…

A: Introduce slack variables S1 and S2 , we get  Max P= 2x1+3x2+4x3 +0S1+0 S2  Sub to . x1+x3+S1…

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Q: 1. Consider the following differential equation: y" + 2xy' + y = 0 a. Find a series solution to the…

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Q: Question 5. Find all of the zeros of the polynomial function 8x5-36x4 +44x³ +48x² − 160x + 105. You…

A: 8x5-36x4+44x3+48x-160x+105

Q: Use the given information to find the indicated probability. A, B, and C are mutually exclusive.…

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