Show that -2 2 x [** | sin(na)ƒ(x)\dx = } 7T lim ∞0++u -2 = ²* \f(x) dx for any ƒ € L¹ (0,2m). 0

Q: Suppose that the dollar cost of producing x appliances is c(x) = 600 + 110x -0.4x². a. Find the…

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Q: If the columns of a 4 by 4 matrix have lengths L1, L2, L3, L4, what is the largest possible value…

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Q: (30)(z >1 Determine the truth value of the statement: (3x) 30 ²+1 < })

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Q: Solve the differential equation below and write its solution explicitly if possible. dy dx −x²y² =…

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A: Given: d2ydx2+2dydx+y=4e-x We have to solve the given differential equation.

Q: (2) Find the limit and use the &, d-definition to prove that your answer is correct. lim (x² + 5x -…

A: Solution :- (a) limx→ 2x2+5x-1Plug in the value x=2=22+5· 2-1=13 To prove this using the…

Q: For each pair of statements, choose the one that is true. (a) (b) (c) (d) ○ {p} = {p, v} Ope {p, v}…

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Q: (1) Let op: Z4 → S3 be a homomorphism such that (1) = (1 3 2). Find Kero. Find [Z4]. (i) (ii)

A: We will usw the property of homomorphism to find the whole homomorphism

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Q: Use variation of parameters to find a general solution to the differential equation given that the…

A: Given differential equation ty''+2t-1y-2y=8t2e-2t    ;   y1=2t-1   , y2=e-2t   .

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Q: Find the angle at which the circle  x2+y2 +x+y=0 and x2 +y2 + x-y=0 intersect.

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Q: Find an explicit formula for a sequence of the form a₁, 2, 3, P n = + 1 2'5 + 1 1 1 4 3'6 + 7 + Hin…

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Q: Evaluate the following integral: cos(x) S 0 3+√8cos(x) -dx

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Q: Suppose B = (2, 5, 1) and AB = (11, 1, 3). Then A=help ( help (points)

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Q: Assume that the matrices below are partitioned conformably for block multiplication. Compute the…

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Q: 1. A manufacturer wishes to make two different bronze alloys in a metal foundry. The quantities of…

A: Given: M=4800 lb600 lb6000 lb1400 lb N=$0.75$0.80$6.50$6.70 To Do: Discuss the possible…

Q: Consider the matrix A = ГО 1 1 1 1 1 1 1 0. a.) Write A-¹ as a product of elementary matrices with A…

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Q: A = Find al 2 4 using 4 3 2 1 GAUSS- Jordan method, Explain each step.

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Q: Find yp(x) if y(4) — 5y"+4y = eª (122 +90x - 90x²).

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Q: Find the siamdard form aquation of each lines satisfyin coriditians. 85. Through (-3,5): slope 3 86.…

A: Since you have uploaded multiple part questions according to our guidelines we have solved first…

Q: 2. Find the gradient of the following scalar functions: a) T = 8/(x+y+2:²) b) V=3x²y³z c) U =…

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Q: - Consider the following 3 vectors (1). 0 V1 V2 = 0 1 , V3 = 0 0 -1 Find a basis of span{v₁, v2, v3}…

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Q: You want to buy a $29,000 car. The company is offering a 4% interest rate for 36 months (3 years).…

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Q: True or false: The sequence True False {FL √√n=1 converges.

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Q: 6. f(x, y) = (x - 1)² + (x −y)¹. − Ans.: global minimum 0 at (1,1).

A: Given function is f(x, y) = (x-1)4 + (x-y)4

Q: Problem: A 500 liter tank initially has 100 liters of fresh water. Salt water with a concentration…

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Q: Find the new balance, assuming that the bank charges  1 1 2%  per month on the unpaid balance.…

A: Given that the previous balance is  =  $ 134.35 Payment  =  $ 25 New purchases = $ 73.91 bank…

Q: Use substitution to find the Taylor series at x = 0 of the function In (1+6x4).

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Q: 6. Find the following derivatives. d (a) a (x²/³ e² (cos (2) - e-*x) sin (2x)) dx (b) tan (30)…

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Q: let a b c and d be integers, prove if a|b and c|d then ac|bd

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Q: If from any point P on circle x^2+y^2+2gx+2fy+c=0,tangents are drawn to the circle x^2+y^2+2gx+2fy+c…

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Q: If point S is dilated to point S' with center of dilation J, the ratio JS':JS is

A: If point S is dilated to point S' with center of dilation J, the ratio JS' :  JS is always constant…

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Q: (-4-3√5) (6+8√8) = USING TABULAR METHOD:

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Q: Solve the given initial value problem. y'' - 3y' + 2y = 0; The solution is y(t) = 3 y'(0) = // y(0)…

A: Given differential equation is y'' - 3y' + 2y = 0 ;     y(0) = 1,   y'(0) = 34

Q: Evaluate the following. Express all answers in rectangular form. Solutions for complex number…

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Q: 4. Consider the following two ODES y(t) = f(y). y(0) = 0. (t)=yf(y,t), y(0) = 0. with f sufficiently…

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Q: The Moores are saving up to go on a family vacation in 5 years. They invest $2400 into an account…

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Q: The graph of y = f(x) has the following features: • lim f(x) = 2- 818 • ● lim lim f(x) = 5 8174 ●…

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