Figure 1 shows a continuous piecewise function's graph. f(t) 2.0 1.5 1.0 0.5 1 2 3 4 Figure 1 a) Based on Figure 1, determine A, B, C and D. 2 0≤t 4 b) Then, find F(s) by using the definition of Laplace transform. 5 t

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A: here we can use contradiction to prove this stetements.

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Q: 9. Convert ₁42(4-4x²-y²)dydr into a triple integral with dV = dydzdx.

A: To Convert: The integral ∫-11∫-4-4x24-4x2(4-4x2-y2)dydx into a triple integral.

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Q: For Exercises f(x) = 21 and 22, consider the function f given b x 2, - for x ≤ 3, x-1, for x > 3. YA…

A: This is the question of the application of the derivative, real-valued function.

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A: Use the following formulae, to obtain the solution. sinx=2tanx21+tan2x2ddxtanx=sec2x∫dx1+x2=tan-1x+C

Q: (0, -5<z<0 If fis the Fourier series of g(z)-92, 05z<1, then 11, 1≤z<5 f(2)= What does f(-5) equal?…

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Q: 9. √√4-4x² Convert ₁42(4-4x² - y²)dydr into a triple integral with dV = dydzdx. C

A: We can solve as follows

Q: A Korean corn dog is a cylindrical piece of hotdog, rice cake, or mozzarella cheese, evenly coated…

A: We will use total derivative to find change  If f is a function of x and y  ∆f=∆x×∂f∂x+∆y×∂f∂y