10) Let A E Mnxn be given by 0 0 ao ... -1 .. A = -1 0 a2 .. 0 0 0 • -1 an-1 .. Compute XA(t).

Q: 2. 21 Зу 6 Solve : =+ x 3y 3 2 -+==0 х у and hence find 'a' for which y = ax - 4

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Q: Q7 Assuming y = f(x), compute [3xy²] dx

A: The function is y=3xy2.To find : Compute ddx3xy2

Q: 26. Let H(t) = 5+2e-t. Find the exact value of H-¹(9).

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Q: Find the value of c such that S xe = 3.

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Q: For which values of a ∈ R is the function f(x + iy) = (a2x - axy) + i(- ax2/2 + ay), an entire…

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Q: Calculate k(t) when r(t) = (1t1,2, 3t) K(t) =

A: This problem is solved in next step.

Q: 7. Find Lt V1+P

A: Introduction :

Q: The Range of y = [2x + 1] is Z, T O F

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Q:

A: We have given geometric distribution and two statistics associated with it and we have to check…

Q: 2) We approximate the area under the graph of y = f(x), above the x-axis, over the interval [0, 4]…

A: a) Given that, the interval is [0, 4] and n=4. It is known that, the formula for ∆x=b-an. Obtain…

Q: 1. For A = 1 1 ] and x = [x₁ x₂]T E R², show that Vx (x¹ Ax) 2 Ax.

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Q: Compute 1 2 √x +2 -dx.

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Q: es New Let x, = 1 ,x, = 2, f(1) = a, ƒ (2) = 2a, Q11(0.5) = 3. Then a = Select one: а. 7 b. 4 с. 6…

A: image is attached

Q: Let f(x) = x + 9x and g(x) = 5-x. Find (x) and (2).

A: The given functions are: f(x)=x2+9x, g(x)=5-x

Q: For which values of r is the function y =t" a solution of t?y" – 5ty' + 8y = 0 Select one: O a. r=…

A: Given differential equation is euler-couchy homogeneous differential equation which can be solved by…

Q: (B) (AB) (BC) (CA) NY, 22.13. Show that if (A) (B) (C) = 3x and = x, 2x, %3D N N then the value of…

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Q: 1. Let x=(x) = (². Find xif 8. Exercise (2) ܘܚܢܟ b. x n

A: Given Data: Let us consider the given data, x=xn ∈l2. To Find: a. xn=212n b. xn=1n

Q: 1. Let f(x)=x² - x, xeR then f(f(f(v2))) is: -34 + V2. b. 2/2 +34. c. 34+2/2. d. 34– 2/2. e. 2/2 -…

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Q: S f(t) dx = 0. 1.

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Q: Let U = N, A = {1, 3, 5}, B = {x : x² - 6x + 5 = 0}, and D = {x:x>5}. Find a. D' b. D-A c. P(A)

A: Note:-Since you asked multiple subparts,according to our policy we can solve only first three sub…

Q: Let f(x.y) = In ( x2 + y ). If f,(2,a)=f,(- 1, 2), what is the value of a? O a. 6 O b.3 O. 7 O d. 8…

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Q: 1.1 Let u(x; y) = 4(x2 - y2 ) - 5y. If f(x; y) = u(x; y) + iv(x; y) is an entire function, then v(x;…

A: Let u(x; y) = 4(x2 - y2 ) - 5y. If f(x; y) = u(x; y) + iv(x; y) is an entire function, then v(x; y)…

Q: 2.Let be a company whose total revenue and total costs, in dollars, are given respectively by: R(q)…

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Q: Evaluate. [4.3, 4.4] 20. x³ dx 21. 22. + x) dx 23. -dx Sx + 2, f(x) dx, where f(x) = 12 - Vx, for x>…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Let f(r) = 2. 1 + Find f(1/2) 1. Find the domain of f ii.

A: Given data is: fx=11-21+11-x Calculate the value of f12 and the domain of the function.

Q: 10. If f (x, y) =2ye” then find √, (x, y). f„,

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Q: . Let f(x) = ka. Determine the constant a so that f(-1) = 10 and f(2) = 5 19 4

A: Given query is to find the constants of the function.

Q: with D= 0. Obtain its T.F.

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Q: 3. Let f (x) = x ² + 8x + 14. Find all the values interral C-G ,2) such that f (c) = 0 of ċ in the

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Q: If R= [0.1] x [0, 1]. calculate In[(x + 1)(y + 1)]dA. 0 B. 2ln 4-2 C. O D. 1 A. In 4+2 B. 2ln 4-2

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.