Use a change of variables to find the volume of the solid region lying below the surface z = f(x, y) and above the plane region R. f(x, y) = 7xy R: region bounded by the square with vertices (1, 0), (0, 1), (1, 2), (2, 1)

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A: Nicholas heard that he could double his money in 5.5 years if he invested it in his friend's…

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Q: (5) Using the definition of the contour integral compute the integral of f(2)= 1+ i - 27 from zo =0…

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Q: 3. Sketch a graph that meets the following criteria: Domain: {x E R|x # 1,5} f'(x) > 0 on x E (5,8)…

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Q: 2. Consider the bases & = {1, t, t²} and B = {1+t, t+t², t2} for P2 and the linear transformation T:…

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Q: What's the numerator for the following wional expression? (m)/(n)+(5)/(n)=(?)/(n) Enter the correct…

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Q: 4) Let the curve C be given by the graph of the function y = f(x) with f(x) = cosh x 0≤x≤A

A: Length of the Curve , L = ∫x=ax=b 1+[f'x]2 dx .

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Q: can you amswer d,e?

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Q: (a) Is [21,-9, 2] a linear combination of [-3, 1, 5] and [6,-3, 8]? (No answer given) If it is, fill…

A: Definition

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Q: Solve y"-3√²+2y=x,_ _y(0) = y² (0)=0 for the solution: Y'cAY+(x) P(D)= (6)

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Q: Prove that W {(2s + 4t, 2s, 2s 3t, 5t): s,te R} is a vector subspace of R4 by using the Subspace…

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Q: A group of twenty-four people are discussing what month they were born in Which of the following is…

A: A group of twenty-four people are discussing what month they are born in . (Select all the statement…

Q: 3. Consider the parametric curve F(t) = (e' cost, e' sint, √2e), teR. (a) Show that the curve lies…

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Q: Maximize p = 7x + 5y + 6z subject to x+y=z≤ 12 x + 2y+z≤ 32 x + y ≤ 20 x ≥ 0, y ≥ 0, z ≥ 0. P = (x,…

A: Maximize P=7x+5y+6z Subject to x+y-z≤12                x+2y+z≤32x+y≤20x, y, z≥0 We have to find p=…

Q: Let ʼn be a positive integer and let u(x, y) = (x² + y²) Show that where C' is a constant depending…

A: ux,y=x2+y2n∂2∂x2+∂2∂y2ux,y=Cx2+y2ux,y

Q: TF A 5 x 8 matrix cannot have a 2-dimensional null space.

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Q: 2) A cylindrical tank standing upright (with one circular base on the ground) has radius 1 meter.…

A: Radius of the cylindrical tank standing upright, r=1 meter.Rate ate which the water is being drained…

Q: figure 3 cm 6 cm 34 15 cm 7 cm 5 cm

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Q: 6 cm 3 cmm 3 cm 4 cm 20

A: We Know the volume of a Rectangular Parallelepiped of side a,base b and hight c is =abc. Volume of…

Q: Simplity: ((k^(-2))/(4h^(-3)))^(3) Write your answer with only positive exponents.

A: The given expression is k-24h-33. We have to simplify the expression and write it into positive…

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A: According to the given data, find the fastest route:

Q: TF A linear transformation from R5 to R³ cannot be one-to-one.

A: A linear transformation from ℝ5 to ℝ3 cannot be one-one. We have to tell whether the given statement…

Q: 4. Find the least-squares solution of Ax = b for A - 012 12 and b = |

A: Given that the system Ax=bwhere A=10111211   and  b=1122⇒AT=11110121   .

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Q: 1. The force of interest is given by 8 = 0.027. Compute the following values. In each case enter a…

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Q: 3) If 1200cm² of material is available to make a box with square base and an open top, find the…

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Q: Using Table 11-1, calculate the compound amount and compound interest (in $) for the investment.…

A: The formula to calculate the compound amount for the investment is given by,…

Q: Derive the finite difference equation for wave equation. Solve one problem for the wave equation…

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Q: 5. Let A be an n x n matrix. (a) (b) Show that if A is an orthogonal matrix, then det(A) = ±1. Show…

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Q: Prove that cos x cos y ≤ x - y for all x, y = R.

A: Mean value Theorem : Let a function  f:[a,b]→ℝ be such that    (i) f is continuous on [a,b] (ii) f…

Q: 2 2) x₁ = 3X₁ + X₂ ~ 12 t -4X₁+ 2X₂ + 12t ร 5 X₁ (0) = 0, X₂ (0) =6 0)

A: Given system is   x'1 = -3x1 +x2 - 12t-----(1)…

Q: (E)- 4x1 -3x3 5 --~--~--~--~--~--~--[|~~[]} = { = [2²]; = 2 and C= What augmented matrix should be…

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Q: Apply the brute force method to determine the lowest cost Hamiltonian Circuit(s). Select the correct…

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Q: T F If U is an orthogonal matrix, then the rows of U form an orthonormal basis of Rn.

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Q: can you assit with part (iv) ?

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Q: Find the Laplace transform, F(s) of the function f(t) = 7t² + 5 sin(3t), t > 0 F(s) = | ,s> 0

A: Given that: Function ft=7t7+5sin3t. To find: Find the Laplace transform of f(t).

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A: f:ℝ2→ℝ and g: ℝ2→ℝ f is C2 Hf4,5=2-1-13 g is defined by gx,y=fx-y,yx

Q: (b) y" - y = cosh x .

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Q: Let (R>0, d) be the metric space defined by d(x, y) =|log (y/x)|. This metric space is isometric to…

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Q: Calculate the interest (in $), purchase price (in $), and effective interest rate (as a %) of the…

A: From given data        The face value P = $ 80,000        The discount rate r = 4.60 %  = 0.046…

Q: Evaluate the given integral along the indicated contour C. 162 6z dz, where C is z(t) = 7t³+1(6tª -…

A: zt=7t3+i6t4-14t3+7, -1≤t≤1 We have to find ∫C6z dz.

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Q: Is A = 2 an eigenvalue of 32 38 ? Why or why not?

A: