a cube of one length 10 units having one of its corner at origin (0,0,0) and 3 edges along the principal axis, if the cube is rotated about z-axis by an angle 45° in counter clockwise direction, then calculate the new position of the cube

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A: As per our guidelines we are able to solve one question only..please repost with other question…

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A: As per the guidelines I have solved first problem.

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Q: 9.) Find the function whose 2nd derivative is given by f"(x) = 1 - 4x where f'(-1) = 1, and f(-1) =…

A: Given that, f''(x)=1-4x ........equation-(1)now integrating both sides of equation-(1) we…

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A: Ans-In this question we have to find the laplace transformer the function

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Q: Let X = {o, p, s, w}, Y = {a,b, e, g, k}, and Z = {1, 2, 3, 5, 7, 9}. Let ƒ : X → Y where f = {(o,…

A: X=o,p,s,wY=a,b,e,g,kZ=1,2,3,5,7,9f:X→Yf=o,a,p,g,s,e,w,bg:Y→Zg=g,3,e,2,b,9,k,7,a,1

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A: The given matrix: 0a0b0c0d0 To find its inverse by using the Gauss-Jordan method.

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Q: Exercise 2: Congruence classes 1. Let m € N, m > 1 be odd. Prove that the sum of all elements in Zm…

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A: • We see    sin x + cos x = √2 [(1/√2)sin x + (1/√2)cos x]                       = √2 [sin x cos π/4…

Q: 1. Use induction to prove that 12-22 +32...+-1)-¹n² = (-1)n-1 n(n+1) for all positive integers n. 2

A: According to guideline we need to solve only one question.

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Q: (₂ Y₁) X₁ Y₁ a) Calculate the distance between points A(25, -15) and B(35,-25 Give 35-25² +(-25 +15)…

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Q: If T: R² →→ R² is a linear transformation such that then the standard matrix of T is 4 A = T([1]) =…

A: I have explained everything with in the solution. Please go through that.

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Q: Given the Boundary value problem, y" - y'-y = 0, y(0) = 0, y(4) = 2, Use the finite difference…

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Q: Find the point of the way from (1, 3, 2) to (-9, -8, 10). 0 P=0 0

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