1) f(x) = x5-x¹ + x² - x +² 2) f(x) = sin³x - e³x² + ln(1 + 5x²) 3) f(x)=√1-x² sin-¹ x 4) f(x)=√√x + cos²x 5) f(x) = cos(3x4 - 5x) +/- xtanx 6) f(x) x+ cos x x−sinx

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = £{f(t)} and n = 1, 2, 3, . . .,…

A: I have stated the used formulas in the solution

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A: Follow the procedure given below.

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A: Topic:- calculus

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A: I am attaching image so that you understand each and every step.

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A: Here we have to find the limit in step 4.

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A: In this question we have to evaluate the triple Integral.

Q: 2. (a) If z = 1+ 3i and v = −2 − i then 1 A. + 2 B. Tin Tin + C. A. 2√6 e-in/6 B. 2√3 e-in/3 D. 2 10…

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Q: 3) . Is the differential equation linear? y' = y + ey YesNo       PLEASE SHOW STEP BY STEP .

A: answer is in next step. please give a like !!

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A: NOTE: Refresh your page if you can't see any equations. . take derivative

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A: Follow the procedure given below.

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A: Our Aim is to evaluate the integral given below:-∫cos4 (x)1+cos (x) dx -(i)

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s. f(t) = et cosh(t) L{f(t)}…

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = {f(t)} and n = 1, 2, 3, . . . ,…

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, . . .…

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A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 70. If A = (4i-3k) and B= (-i+j-2k). Find the vector product of A and B. a. (6i+8j+k) b. (-6i+8j+7k)…

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