3. (True/False) Let f(x, y) be any function of x and y. Then f f sin(f(x, y)) dxdy ≤7. 4. (True/False) Every point (x, y, z) can be uniquely represented as a point (r, 0, z) in cylindrical coordinates.

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A: option b is correct

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A:

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A: Given that,  △ABC an equilateral triangle, such that, AB=AC=BC=8.0 cm current I=8.0 a

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A: Let us consider the expansion x+yn The binomial expansion is obtained as x+yn=∑k=0nCknxn-kyn

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A: Here to determine the function G(x), first we have to determine the equation of the linear function…

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A: Solution :-

Q: ) y = 3logst ) y deriv = (sech t) (1 - In(sech t

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A:

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A:

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Q: Exercise 6.69. For a € R \ {0} and b € R, the sets H(a, b) = {x € R" : (a,x) ≤ b} and P(a, b) = {x €…

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Q: QUESTION 2 1 2 1 1 2 1 1- (-7 & 2) and B- ( ²5 ) . Find -1 5 = -3 15 6. 0 1 3 7 9 6 i) the…

A: 2(a) Given A=121-152379 and B=121-3156016   To Find: (i) the elementary matrices E1, E2 that reduce…

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A: The number 2 is equivalent to the which number in a machine arithmetic with N=10 and t=4.

Q: 4. Proving by Example. Let U := { x | 0 < x < 10}, A = { 1 € U|x is odd), and B:= {xe U|x is even}.…

A: This is a problem of set theory.

Q: -1 4 3x tan x

A: Taylors series formula f(x)=∑k=0∞f(k)(a)k!xk We have f(x)=3xtan-1x and a=0

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Q: Consider the following functions. f₁(x) = x, f₂(x) = x², f3(x) = 4x - 7x² g(x)=c₁f₁(x) + c₂f₂(x) +…

A: Given- Consider the following functions.  f1x = x, f2x = x2, f3x = 4x - 7x2gx = c1f1x + c2f2x +…

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A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

Q: 20. f(x) = x - x² + 2, a = -2 21. f(x) = ln x, a = 2 23. f(x) = ²x, a = 3 25. f(x) = sin x, a = π…

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Q: 6. Use the following information to answer the next question Two functions are shown. y = f(z) is…

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A: I have given the answer in the next step. Hope you understand that

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A: The word problem is solved as, Read the problem.  Identify the variable to be find. Rewrite the…

Q: 1. For the integral fff 6(x, y, z) dV where E is bounded by y = z², z = 0, y + 2z = 4 express it as…

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Q: Let W₁ = G0---60) and W₂ = (a) Find a basis for W₁ W₂. What is dim(W₁ W₂)? (b) Show that R³ = W₁ +…

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Q: 23. Find the radius of the circle inscribed in a triangle formed by the lines 7x+24y-70-0,…

A: To find- Find the radius of the circle inscribed in a triangle formed by the lines 7x + 24y - 70 =…

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Q: 2x 17y + 11z = 0 6) -x+11y-7z = 8 3y2z = -2 -

A:

Q: b) Solve the system of linear equations by using Gauss Jordan Elimination method. + 2x4 X4 X1 3x1 -…

A:

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Q: If possible, use matrix inversion method to solve simultaneous equation 2x - y + 3z = 1 x + 2y-z = 2…

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Q: Find the type of the following linear systems for those parameters for which the system has one…

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Q: 5: A. Using convolution to find L¹ [(5+2)(s+4)

A:

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: (6) The symbol dx simply indicates that x (7) The sum f(x) Ax is called the German mathematician cha…

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Q: Questions 6. As a result of the transformation of the graph of y = f(x) into the graph of…

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Q: The solution of the equation d'y -y=k(k = a non zero constant) dx² which vanishes when x = 0 and…

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Q: For which value of k does the matrix have one real eigenvalue of multiplicity 2? k= -2 A = [ 2₂4]

A:

Q: 2. y' (4x - y₁)² = 0 -

A: This is an ODE problem.

Q: 1 A. Using convolution to find L¹ [(5+2)(s+4)].

A: Convolution Theorem : If L-1F(s)=f(t) and L-1G(s)=g(t) then L-1F(s).G(s)=∫0tf(u).g(t-u)du. (As per…

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Q: RECALL FROM MTH 31 (1) State the definiton of the area A of the region under the graph of a…

A: Given below clear explanation

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Q: Use Theorem 7.1.1 to find ZARE) f(t) = (4t-1)³ Lif(t)} =

A: