Write a derivative formula for the function. f'(x) = f(x) = 7(6x) VX

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Q: Problem #6: Let S = {1+ 5x, 1 - 2x2}. Which of the following polynomials could be added to the set S…

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Q: a) b) Find the square roots of 10 (mod 31). Find the square roots of 134 (mod 217).

A: The given problem is to find the square roots of 10 (mod 31) and square roots of 134 (mod 217).  x =…

Q: Find the present value of the given future amount. $40,000 for 20 months at 8% simple interest What…

A: Future value, FV=$40,000 Period, T=20 months Interest rate, R=8%=0.08 To fin present value (PV).

Q: Find the Laplace transform of F(s) : = f(t) = = 0, t < 3 [t² − 6t+17, t≥ 3

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Q: Definition 13.1.1 generalizes to linear PDEs with coefficients that are functions of x and y.…

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Q: Under what conditions on the scalar 'a', do t vectors (1, 1, 1) and (1, a, a²) form a basis of C³…

A: We have two vectors of C3(C)          (1,1,1)  and (1,a,a2)Where a is scalar.

Q: 17. Given p(x,y,z) = xyz +5, find the surface integral of the normal component of grad o over x² +…

A: Given ϕx,y,z=xyz+5, We need to find surface integral grad ϕ over x2+y2+z2=9.

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Q: In questions 2, 3, and 4, consider the following biobjective linear pro- gram (BOLP): minimize…

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Q: valuate the integral a) 1³₂ (x² − 3) dx -2 b) Cu dx +6w²- 10w¹) dw - d) e) 1/2 -1 4 2y 12 12. [²² dy…

A: According to bartleby guidelines we do only first three subparts and rest part can be reposted…

Q: f(t) = 2t³ - 11t² + 15t-4

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Q: A grab bag contains 12 packages worth $.80 each, 15 packages worth $.40, and 25 packages worth $.30.…

A: A grab bag contains 12 packages worth $.80 each 15 packages worth $.40 25 packages worth $.30.…

Q: Swan Company has a direct labor standard of 15 hours per unit of output, and a standard wage rate of…

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Q: Suppose that the matrix A has the following eigenvalues and eigenvectors: - [ 4-41) 4i A₁ = 3 + 3i…

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Q: If A and B are n x n matrices, and I is the n x n identity matrix. Which of the following is/are…

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Q: Match each graph with its equation. a.y= (x - 2)² (x - 1)²

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: (2) Show that L[r²e²](s) = (s-1)³ ·

A: Laplace transform of f(x) is defined as below.       L{f(x)} = 0∫∞ e-sx.f(x)dx

Q: dy dx 2y (x √y-1), y(0) = 1

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Q: Que 13: Each elements of a finite field F with p¹ elements satisfies the equation xP" = x.

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Q: Consider a lamina occupying the region R and having the density function p. R is the trapezoidal…

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Q: Switch the order of integration in the following double integrals (Do not evaluate the integrals).…

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Q: Convert the integral to polar coordinates. [.. sin(x² + y²)dydx

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Q: Simplify the following expression in Z/13Z.((17 ) ̅- (10) ̅ )^2 · ((9 ) ̅+ 3 ̅) · ((5 ) ̅+ (11) ̅…

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Q: An investor has $60,000 to invest in a CD and a mutual fund. The CD yields 9% and the mutual fund…

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Q: The function is f(x)=0. Find the x value. Compute x for the first iteration. f(x) = e¯* -x+0.63200 =…

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Q: Use synthetic division to find the function values. Then check your work using a graphing…

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Q: K Prehistoric cave paintings were discovered in a cave in France. The paint contained 23% of the…

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

Q: solve the following function F(x)=x+e^-x By using these methods: 1) fixed-point 2) Bisection 3)…

A: Fixed-Point Method: To solve F(x) = x + e^(-x) = 0 using the fixed-point method, we can rewrite the…

Q: Solve the pair of difference equations: Xt+1-2xt + 2yt = 0 Yt+1 Xt5yt = 0

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Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

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Q: Use the Simpson's Rule to approximate the value of the definite integral. 3 [/dr Simpson's Rule dx,…

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Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" -…

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Q: 5. Find the area of the surface S, where S is a part of the paraboloid z=(2²+1²) that lies above the…

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Q: If the series an is convergent, then lanƒ(cos(n))] is convergent. n=1 n=1 Final Answer This claim is…

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Q: Suppose f: R → R is continuous and periodic with period P >0. That is, f(x+P) = f(x) for all XER.…

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Q: 2. For each of the following questions, justify your answer using complementary slack- ness and if…

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Q: Find the prime factorization of each of the following numbers. a. 14^4 22^22.25^11 b. 400 50 4500^23…

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Q: Use a left sum and a right sum with rectangles of equal width for the given value of n to…

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Q: 7 0 0 19) A = | 1 7 0 0 0 7 19)

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Q: Consider the conservative force field F = (18x²y+9-y)i + x(6x² - 1)j. Find a function f(x,y) such…

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Q: 5. a) What is the orthogonal projection ŷ, of y = 1 = ( ² ) U = and the origin? -3 9 onto the line…

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Q: Exercise 6. Use the Laplace Transform to solve the following IVP. y" + 25y = 8(t-3), y(0) = 0, y'(0)…

A: Given differential equation  ,      y''+25y =δt-3   ;  y(0) = 0 , y'(0) =-2 (.)  L{ yn(t) } =…

Q: 7. For what value(s) of k will the function f(x) = kx² - 4x + k have no zeros?

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Q: Give an exact expression for y as a function of z, angle B and angle Cif A = 45° and D = 60°.…

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Q: Let G-D6 be the dihedral group of order 12, H be the subgroup of G generated by R120 rotation of…

A: Given ,              G= D6 D6 =  e, R60 , R120 , R180 , R240 , R300 , L , R60L , R120L , R180L ,…

Q: 1. Let an be a POSITIVE infinite series (i.e. an> 0 for all n ≥ 1). Let f be a continuous function…

A: Let ∑n=1∞an be positive infinite series. Let f be continuous function with domain ℝ. The given…