4. Prove that: Jx'J,Ex) dx 2 3x J,Cx)-(x-3x) J.cx) -3

Q: 1. What is the future worth of each of the given series of payments? (a) $10,000 at the end of each ...

A: Solution :-

Q: Evaluate -(-p p) → -q using the table below: F FFTT FTTF TFFT TFTF TTFF FTFT

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A: Given : X+Y=Z a) To find the value of a, b,c,d -231a+b-12-4=1cd4a-4=4a=83+b=1b=-23-1=cc=21+2=dd=3 a=...

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Q: f(x)

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Q: b. Simplify the following (Vm + n/36)(vm – v3) then classify if the result rational or irrational?

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Q: Find the Fourier Series of the function f(x) f (x) = {!-t/2 -2<t<0 (1+t/2 0 <t <2 Find the Fourier S...

A: According to our guidelines we can answer only one question and rest can be reposted. 

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Q: Find the area in the first quadrant bounded by the curve y = 3x – x, the lines x = y = 2. 0 and

A: To find the area of the region bounded by the curve we use the formula Area=∫abf(x)-g(x) dx.f(x)=y=2...

Q: a) Write The Green's Theorem in the plane relating double integrals and line integrals. (Please, don...

A: We will use basic knowledge of multivariate calculus and vector calculus to answer this question.

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A: This is a problem of LPP.

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Q: 6. Solve the following Cauchy-Euler equation. (Section 4.7) x?y" + 5xy' + 4y = 0

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Q: 2х-3 dx (х-3)2

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Q: Use the definition to show that the function f(x) = → is continuous on the interval [c, o), %3D wher...

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Q: Calculate the future value when P = P5,000, r = 11%  compounded monthly, and t = 8 years.     P5,3...

A: Given: P=5000 r=11% T= 8 years The formula to calculate the total value compounded monthly is A=P1+r...

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A: "Since you have posted a question with multisubparts, we will solve the first three subparts for you...

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A: Since  you have posted a multiple question according to guildlines I will solve first  question for ...

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Q: -1 (s + 1)2 4

A: If F(s) is the Laplace transform of f(t), then f(t) is called the inverse Laplace transform of F(s)....

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Q: x°dy + xydx = x²dy + 2ydx; y = e when x = 2 %3D

A: Given  we have given the differential equation x3dy+xydx=x2dy+2ydx y = e when x = 2 we have to find ...

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Q: Evaluate (p → q) → (r→ q) using the table below: T. F T F T F F F T TTTFFTFT O TTTFTFFT O TTTTFTFT T...

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A: Solution :-

Q: 1 Y(s) = s²(s²+1) ; Y(t) = ?

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Q: Use separation of variables and find (if possible) product solutions for the following PDES : 1. ux ...

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...

Q: In n

A: Given as, an =Innn3

Q: If the 5th term of a geometric progression is 224 and the 9th term is 3584, then find the 13th term ...

A: a5=224⇒ar4=224a9=3584⇒ar8=3584a9a5=ar8ar4=3584224=16r4=16r=2ar4=224a16=224a=22416=14a13=ar12=14×212=...

Q: x +1 0 0 64 0. Let A = 2 0 Find x and y if A3 = 8. 0. %3D 0 y, 0. 0 64 T = y = 00

A: Introduction: The diagonal matrix is a square matrix whose main diagonal elements are non-zero. All ...

Q: convert to polar form: a.) √2 (160)sin (wt+30°) b.) 20sin(377t-90°)

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Q: Given the table below 0.1 0.2 0.3 0.4 0.5 0.6 f(x) 0.425 0.475 0.400 0.452 0.525 0.575 Approximate t...

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Q: There are at least 3 different ways to solve the equation (csc^2(2theta)-1)^2 = 9. Use at least 2 di...

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Q: Prove that there is no permutation a such that a'(12) a = (34) (15). %3D

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