Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.) 1 *½{₂ s² +85

Q: Let f(x, y) O a) 64 / 27 Ob) 64 / 125 Oc) 27/125 d) 27/64 =X x√√x² - y². Then f(5, 4) = Oe) 125 / 64…

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Q: (₁ Find the absolute extrema of the function on the closed interval. ƒ(x) = x³ − 12x + 1, [-3,1]

A: An absolute extrema of a function in a given interval is the point at which a maximum or minimum…

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A: Given function, 4x+3y=6, That is 3y=-4x+6 y=-43x+2 compare to y=mx+c Therefore m=-43

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Q: -4 -3 -2 II 5+ 4+ 3+ 2+ 2 estion Heln: 1 2 3 4 5 Video

A: Topic:- polynomial functions

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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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A: Use limit

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A: The objective is to find the integral.

Q: 5 1 So (125 + 25x + 6) dx 6o S X (1 + x²)3 dx / 1 + x² dx 1

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Q: is dropped s(t) = -16t² + vot + so (a) Determine the position and velocity functions for the coin.…

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Q: So sin¹ (6x) cos (3x) dx

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Q: 5. A. undefined B. 2 × 2 Consider (a) What is the size of QTP-¹? P= A. -1.5 B. -2 = [1 C. 2 × 4 D. 4…

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Q: Determine the explicit formula for the n-th term of the sequence written below. Note that the first…

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Q: Evaluate: £{sinh√√bt}= Blank 1 Blank 1 Add your answer

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

A: The given inverse laplace transform is L-16s-1s22We have to find the appropriate algebra .

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Q: Evaluate the following integral: S₁ S² == dydx −1 1 y

A: Given integration: ∫-14∫1ex2y dydx

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Q: An even function f(x) for all values of x and x holds a. f(x) = f(-x) b. f(x) = -f(x) c. f(x) =…

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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: 3x²+2 0 2x²+4x+3 Sort dx

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Q: nd the equation of the tangent line to the graph of ƒ(x) = (1+x³)−² at the point

A: Topic:- application of derivatives

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Q: 72. The volume of a sphere is increasing at a rate of 40 cm3 per minute. Find the rate at which its…

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Q: √ [F(x₁) Evaluate f(x, y) ds. f(x, y) = xy S: r(u, v) = 8 cos ui + 8 sin u j + vk Osus, OsvS1

A: Given that   we have to evaluate ∫S∫ f(x,y)dS  and                                fx,y =xyS: ru,v =…

Q: Evaluate the integral using the following values. [x³ dx = 320, ["x dx = 15, ["dx-4 = dx

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Q: 1) x(x + 1) dx S (3) x² x² +9 dx (2) √ x(x x(x + 1)³ dx (4) (x² + 1) cos x dx

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

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

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A: Given  fx = x cosx  and  c=π3. We have to find f'x and f'c.

Q: Evaluate ln(e2)   a. 2.712828   b. (2.71828)2   c. 2   d. 5.437

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Q: OA. x=0 and x = 3 OB. x=0 OC. x=3 OD. There are no points where the function is discontinuous.

A: Follow the procedure given below.

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Q: dy Prob. 5 (a) ( ....) Given the curve x³ - xy² + y³ = 1, use implicit differentiation to find da at…

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Q: S(67² - 4t + 3) dt

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Q: 2 3 [²³x²³ ln(x¹) dr Sº x exp(-x) dx 1 X Jo 2x² +1 dx

A: Solve the integral

Q: 24. g(t) = t³ + 4t

A: Solution: g(t)=t3+4t The derivative of g(t) with respect to t is defined as limh→0f(g+h)-f(g)h

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