2. Find the cerntroid of the area bounded by the curve y= 2x + 1 x+y =7 and x= 8

Q: 1. Use a Chain rule to find aw aw and if w = x?, = sin(r²s) ar as

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Q: 3. Dwight Howard has a free throw percentage of 56.5% which means he successfully makes a free throw…

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Q: (10) Convert 375eight to base 10. (11) Convert 487 to base 5.

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Q: B. by using Rules of Replacement 1. [p V (~p ^q)] → (p A q) 2. {~ (pvq) v [(~p^ q) v ~q]} «→ ~ (pvq)

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Q: Part A Joan bought a soft drink for 3 dollars and 8 candy bars. She spent a total of 43 dollars. How…

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Q: Find the general solution of the given linear differential equations y" – 2y' – 8y = 24(x² + 1)e 4*…

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Q: Solve for all the roots of x using Bairstow's Method starting at r = 0.25 and s1 = 8.75 of the…

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Q: Suppose X is a random variable whose pdf is given by f(x) =k(4x-2x^2) 01)

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Q: Solve the system of differential equations x' = 31x + 56y ly' 16x 29y - - x(0) = 7, y(0) = - 4 The…

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Q: Let Mn.n(R) denote the vector space of n x n matrices with real entries. Let f : M22(R) → M22(R) be…

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Q: Suppose A E Mn (R)and B. Find the eigenvalues of B = LA A in terms 2A] of the eigenvalues of A.

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Q: 4. Give an example and a proof to show: Local isometries can shrink but not increase intrinsic…

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Q: 1 Give one example r that makes log. (r) rational but not an integer

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Q: ( 1 if – 2 < x < 0, 2. Suppose that f(x) = { Let s(x) be the Fourier 2x if 0 < x < 2. series for…

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Q: Use the statement, if p(E) = a/b, then o(E) = a:(b - a) and o(E') = (b- a):a, %3! to find the odds…

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Q: Use the statement, if p(E) = a/b, then o(E) = a:(b - a) and o(E') = (b- a):a, to find the odds that…

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Q: Consider the vector 4 v = 4 Find two vectors w1, w2 ER° such that: • Both w1 and w2 are orthogonal…

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Q: Let L= D^2(D^2-9).  Solve for Ly(t) = -2t(^2)*e^(3t) + e^-3t for t  is an element of (-inf,inf)

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Q: Solve the system of differential equations x' = 9x – 8y y' = 12x – 11y - x(0) = 7, y(0) = 9 x(t) =…

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Q: Question 5. Given the following recurrence relations, fi %D

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Q: The following certificate of deposit (CD) was released from a particular bank. Find the compound…

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Q: Solve the initial value problem. y'+ 11y=1, y(0) = 1 y= (Type an expression using t as the…

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Q: Describe g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f by a factor…

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Q: Evaluate the double integral. dA, D.

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Q: Evaluate the line integral / -ydx + xdy along the curve C : y? = 18x from (18, 18) to (0,0). NOTE:…

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Q: Let G be an abelian group, Ha subgroup of G, and n a fixed positive integer. (a) Let Hn = (aEGla"…

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Q: Show that the following nonlinear system has 18 solutions if 0 < a < 27, 0 < ß S 2T, and 0 < Y < 27.…

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Q: s={y2} The n was

A: Since measure of a finite set is zero.

Q: Let A = {2,6}. Consider the set B = A x P(A) (where P(A) is the power set of A). Define a partial…

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Q: ous annuity is a steady stream of money that is paid out, for example, b making Set up the…

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Q: 7. Interchange the rows of the system of linear equations in Exercise 9 to obtain a system with a…

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Q: ion Method upto 8 iteration? 354 3737 3754 3798 nriou

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Q: Determine the coefficient ofx1° in the multinomial theorem expansion of (1+ æ² + æª + æ®)ª. O…

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Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

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Q: d. Give an example of a different function with exactly the same roots as f(2). g(x) =s is a new…

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Q: Exercise 31 Let C be the binary code with generator matrix [1 1 0 0 1 1 0] 10 101 0 1 G =|1 0 0 III0…

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Q: Mary the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each…

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Q: Find the Laplace transform F(s) = L{f(t)} of the function f(t) = (4 – t)(h(t – 3) - h(t - 6)), for s…

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Q: Find the general solution of the given system of the differential equation V2 (a). X' = V2 3. -2 1…

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Q: what is the equation of this picewise function? 1000 8.0 40 2 10 -8 4-2 468 10 -2 -10 6. 4,

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Q: Perform the indicated matrix calculation. 1.4 3 2.2 0.6 - 1 0.1 + -8 0 0.7 0.5 1 0.8

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Q: Evaluate the indefinite integral as a power series. What is the radius of convergene (a) (b) /= x -…

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Q: Sketch the following two balls in the given vector space, with usual norm: (a) B2(-1,1) e R? (b)…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…