Given the following matrices, Find ATx -C -2 1 5 A =|1 3 -4| 5 -1 21 C =|-1 1 4] 2 -4 61 B 4

Q: 18-19. What is the value of the correlation between Academic Performance and Digital Literacy? Digit...

A: Correlation coefficient between the variables x and y is given by the formula r=n∑xy-∑x∑yn∑x2-∑x2n∑y...

Q: (D³ + 4D² + 9D + 10)y = -24e¯* when x = 0, y = 0,y' = -4, y" = -10 ANSWER: y =e-2* + e-cos (2x) - si...

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Q: (Laplace Transforms) (a) Use the definition of the Laplace transform to compute L{cosh(at)}, where a...

A: As per our guidelines, we are supposed to solve only first subpart. Kindly repost other subparts as ...

Q: Find (∂z)/(∂s) and (∂z)/(∂t), given: (a) z = x2 - 2y2 ; x = 3s + 2t, y = 3s - 2t

A: It is given that,            z = x2-2y2  ;  x = 3s+2t  ;   y = 3s-2t We have to find  ∂z∂s  and  ∂z∂...

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Q: Q. 15. AB and CD are two parallel chords of a circle (lying on opposite sides of the centre) such th...

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Q: For a three year bond of $2,600 at a simple interest rate of 10% per year, find the semiannual inter...

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Q: 37. Which of the following accurately shows the constraint on the daily capacity for the third produ...

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Q: What is the y-intercept for each equation? Write your answer as a point. a. y=3x-7 b. y=8-5x

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Q: 7) A table of values for g(x) on the interval [0, 20] is shown below. Use a trapezoid approximation ...

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Q: Is the solution x -16

A: Given 2x + 8 > -16

Q: 6. y = In (e' + e")

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Q: Suppose that |u xv = 7. Find ||(5u + 6v) × (3u - 9v)||-

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Q: which is called the definite integral of f from a tob. The function f(x) = /x is continuous on [0, 4...

A: This is the problem of Reimann sum.

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Q: True/False. For cach of the statements below, write "True" or "False" in full and justify your answe...

A: We will interchange the limit of integration and check the true and false

Q: For any integer k, prove that gcd(2k +3, 5k +7) = 1.

A: Use the given information.

Q: Find an equation in point- slope form that passes through (1,-2) and has slope -3.

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Q: Use the Comparison Test to determine if the series converges or diverges. 5n – cos2n n3 + n2 + 1 n=1

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Q: 9. In each part, either draw a graph with the given specifications or explain why no such graph exis...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: a. Formulate a linear programming model for this problem on a spreadsheet. b. Use the spreadsheet to...

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Q: I Find the second derivativety") of the following functions and simplity the final results. 1. y= x ...

A: The quotient rule of derivative states that d dxf(x)g(x)=g(x)f'(x)-f(x)g'(x)g(x)2. The derivative of...

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Q: Find the points on the curve of intersection of the ellipsoid x² + 4y² + 4z² = 4 and the plane x – 4...

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Q: Let w- fx.y.) - :), x- cos(), y sin(» and :. Then:

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Q: Evaluate | f'(x) sin f() dx. Your answer should not contain f, which is a differentiable function wi...

A: Properties of the integral  If I=∫f'(x) g(f(x)) dx then using the substitution t=f(x) ⇒dt=f'(x) dx ...

Q: A statue 10 feet high is standing on a base 13 feet high. If an observer's eye is 5 feet above the g...

A: Given,  A statue 10 feet high is standing on a base 13 feet high, If an observer's eye is 5 feet abo...

Q: (b). A club has 5 freshmen, 6 sophomores, and 7 juniors. How many committees of 4 people from at lea...

A: No. of Freshmen = 5 No. of sophomore = 6 No. of juniors = 7 Total = 5+6+7 = 18

Q: 3. Find the derivatives of y with respect to x: a) y = xe* - e* %3D b)' y = e(4x+;) c) y = e*(sin x ...

A: To find- Find the derivatives of y with respect to x: y = xex - ex y = e4x + 1x y = exsinx + cosx y...

Q: x"'(t) - 3x"(t) - 4x'(t) + 12x(t) = 12et; x(0) = 4, x'(0) = 2, x"(0) = 18 %3D %3D %3D

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Q: The marketing research department for a computer company used a large city to test market the firm's...

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Q: Let us model the number of automobile sales in a developing country as 155,000 N(t) t> 2010 1+ 5.7e-...

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Q: f f(x)=3^{ax}+3x and f'(0)=3, find the value of a using 2-points formula with h=0.5.

A: Introduction: The derivative of a function y=fx at a point x=a can be approximated as f'a≈fa+h-fah H...

Q: (xy2+x2)dy+ydx=0

A: As per the company rule, we are supposed to solve one problem. Therefore kindly repost the remaining...

Q: To get a feel for higher order ODES, show that the given functions are solutions and form a basis on...

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Q: 1 2.if [(fT))=, find [ f(4t) S

A: Laplace transform of the function

Q: Number 32 please

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Q: 2. Prove directly if the statements that are true, give counterexamples to disprove those that are f...

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Q: A 96 lb weight stretches a spring 3.2 ft in equilibrium. It is attached to a dashpot with damping co...

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Q: Suppose two interconnected tanks partially filled with brine. Pure water flows into tank 1 at a rate...

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts fo...

Q: Let x, y ∈ Z. Prove that x − y is even if and only x and y are of the same parity.

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Q: If L(x, y, y') = S 2y(1+ (y/)²)-'dæ what alternative form can the Euler equation Ly – Ly = 0 take? d...

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Q: If T is a region in the xy-plane whose moment about the y-axis is given by the definite integral My ...

A: If T is the region in xy-plane whose moment about y axis is given as My=ρ∫01(x-x2)dxwhere ρ is densi...

Q: A V log C5+zi)

A: According to the guidelines  I am answering only first question.

Q: y? = 3x 2 in. 3 in.

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Q: Problem 7 Show the derivation of formula for the conversion from spherical coordinates to rectangula...

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Q: Find a basis for the subspace of R4 spanned by S. S = {(5, 9, −5, 53), (−4, 5, 4, −5), (8, −4, −8, 1...

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Q: What technique should you use to solve the ODE that arises from the Euler's equation associated with...

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Q: Find the roots: x3 = 2 - 3i

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Q: Find the roots: x3 = -2

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