For (a) - (d), Use the following inner product of R². (x, y) = x TAY 3 -2 where A = [ ²³/2₂ =²]• Let x = [ 1 ] and y=[i]

Q: V3 х, 1 (6) x' = x(0) : V3

A: Given the system of an ordinary differential equation is  x'=133-1x                         (i) With…

Q: Please solve

A: Consider the function

Q: Suppose that f(z) = x² - y² - 2y + i(2x - 2xy), where z = x+iy. Write f(z) in terms of 2, and…

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Q: 3x +2 J. - dx. (x² +9)(x– 4)x 10. Find the principal value of

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Q: For f(x)=3x2 +4x+5on the interval [-1, 1] estimate the area using 4 rectangles.  Do this with height…

A: The area of the function fx on the interval a,b using midpoints of the n rectangles is given by the…

Q: Find f∘f where f(x)=3x−5 and f: ℝ→ℝ

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Q: For the PMF Px(x) = = 2 x = 1, 3, otherwise. " calculate Var[X].

A: Answer:- Given pmf is  Px(x) = 1/2 , x= 1, 3  Px(x) = 0 , otherwise.  Using formula,  Var[X] = E(x2)…

Q: AB1: Find g(2), g'(2), and g"(2).

A: Given that gx=∫-2x2ftdt Now we have to find g2, g'2 and g''2 In the interval -2,2, fx=4-x2In the…

Q: Let fx) = x + 2x and g(x) = x- 5. a) Find (f ° g)(x). f(x+h) – f(x) b) Find the difference quotient…

A: Given

Q: Find h(0), h(x + 3), and h(-x) for h(x) = x + Vx² – 1. 2)

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Q: Assume that u x =. Use the properties of the cross-product to evaluate the following expression.…

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Q: Calculate M6 for f(x) = √√3x over √3x over [2,5].

A: Given Data : We have given a function f(x)=3x over an interval [2,5].   Required : We have to for…

Q: he function f(x)=3x2+2x

A: Introduction: A function is bijective if it is both injective and surjective and a function f(x) is…

Q: f(2) =2x² + y+i(y² – x)

A:

Q: Let x, y, and z be real numbers. Prove the following a. -(-x) = x b. (-x) * (y) = -(xy) and (-x) *…

A: I have provided detailed proof for each question in the Explanation section.Explanation:Let's go…