If a function "f" is not piecewise continuous on [0, infinity), then its Laplace transform will not exist. Type "1" if "True" or "2" if False.

Q: The figure below shows the derivative f' of f. f ' (x) 4 10 + x मुंह 2 6 8 12 (a) Choose all…

A: We know Function increasing when f'x≥0Function decreasing when f'x≤0

Q: Differentiate f(w) = sinw + w²tan-1w

A: We have to find differentiation of given function.

Q: If f:X → Y is a bijective function,-3 then (f^(-1)•f)(x)=(fof^(-1) )(x), XEA

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Q: SUppose F(x) = dt. Find the formda 13 F (x ³) expressed using an integral. ? F (x* )= ]

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Q: Suppose  f ( 200 , 300 ) = 1000and ∂ f ∂ x ( 200 , 300 ) = 12 and ∂ f ∂ y ( 200 , 300 ) = 10.…

A: Given, f(200,300)=1000 ∂f∂x(200,300)=12∂f∂y(200,300)=10

Q: 78. Prove that the Net Change Theorem (Theorem 4.27) isequivalent to the Fundamental Theorem of…

A: The net change theorem considers the integral of a rate of change. It says that when a quantity…

Q: Local linearization is used to justify L'Hopital's Rule when f and g are differentiable and…

A: Not only zero , when both f(a) and g(a) are infinite , in that case we can also use L'Hospital rule

Q: -35 Find s?(s°+4)

A: We will find out the required value.

Q: el3x-6-2, Given: f(x)=[2x - 5], x² - 9, if x ≤ 2 if 2 3

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Q: Show that if f(x) is continuous in(a, b),then there exists a point in(a, b) such that…

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Q: Given an Transform of a function f(s). Find x equation L-(f(s)) = xLf (s - a)} where L^-1 is the…

A: To solve the Laplace and inverse Laplace equation using formulas.

Q: Find the inverse Lapace Transform    L^(-1) {1/[(s^2 +9)^2]}

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Q: Evaluate. t*dt

A: Evaluating the definite integral

Q: If - 2x +1 ,when X#! and fcx)= 3 when x= 1 show that The function fex) Continuous at X - 1

A: The detailed solution is as follows below:

Q: Evaluate in terms of Beta Function: 20 ○ (1, 필) O-표8(1, 쫄) OB(1, ) OB(1, )

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Q: Need typed solution Find the Fourier sine and cosine transform of the function  x^(m-1).

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Q: If you need to prove that a ∈ f^−1 (Y ), what do you need to show?

A: Here we need to show the way to prove a∈f-1(Y)

Q: Evaluate fi' sin(21*)dt

A:

Q: Let /: X→Y be a function, A, B C X and C, DCY. Show that: 3. If CSD then SF (D) 4. f¹(COD)=f-¹(C)…

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Q: Use implicit differentiation to find and az where yZ + Xlny=

A: We have to find the partial differentiation of the given function.

Q: Let f: A →B and g: B →C be functions. Suppose that f and g have inverses. Prove that g ◦ f has an…

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Q: Suppose f is an entire function with order of growth p. Prove that f' also has order of growth p.

A: Given that f is an entire function. That is f is holomorphic on the entire complex plane. Also, the…

Q: Show that if F: AB and G, H F"" (GUH) = F"" (G) U f" (H) and F" (Gn H) = F²¹ (6) ^ F-1 (H) are…

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Q: Suppose (-8, 6) is a critical point of a function f with continuous second derivatives. If fra (-8,…

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Q: Orthogonalize {1, t, t²} in P₂ (R) with 1 (f, 9) = ["ª, f(x)g(x) dx. -1 Then normalize each one so…

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Q: If m, n ∈ N, then (f^m)^n = f^(mn).

A: To prove two functions are equal, we need to show that both the functions have same function values…

Q: Let i, j, k e Za and w, x, y e Zb with i, j, k all different from each other and w, x, y all…

A: Let the number of elements in the domain be equal to m, and the number of elements in Zb be equal to…

Q: Show that Lindeberg's condition follows from Lyapounov's condition.

A: Q