4 ff(x) dx 2x if x < 1 f(x) = { 4 if x ≥1 . Compute O

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A: Let's find.

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A: I have appended the formula used in the solution part.

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Q: Solve the optimization problem. F = Minimize F = 11x² + 11y² with xy² = 16.

A: Given problem:- Solve the optimization problem.   Minimize F = 11x2 + 11y2 with xy2 = 16

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A: The given equation,      sin3θ=12

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A: Given: I=∫x2-9x3dx   ...1   As we know that the trigonometric identities; (1). tanθ=sinθcosθ (2).…

Q: ƒ dx = f(+ g(x)) dx, then A + f g(x) dx is equal to x³+x A. -1 B. -1 + In(5/2) C. 1 D. -1 + In(7)

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A: Solution in step 2

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A: Topic:- application of derivatives

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Q: 25 1. ƒ x²√5 − x²dx = − ²x(5 − x²) (5 − 2x²) + ²5 Arcsin (5x) + C 2009

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A: answer is in next step  option C is correct

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A: Solution of given question is written in below steps.

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A: A=πr2r0=70 mA0 =4900π  m2r1=220 mA1 =48,400π  m2rate of change in area:=A1-A0t1-t0=48400π-4900π50-0…

Q: Calculate the derivative. f(x) = (6e* - 7x²) (x³ + 1) (Use symbolic notation and fractions where…

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Q: 16. Using integration by parts to solve 2√4x²+k A. -√4-x² + k √4x²+k -2√4x²+k B. C. x³ dx √4-x² and…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: Find the integral: x+2/x-1 dx choices: a) x+ ln(x-1)3+C b) x+ ln(x-1)2+C c) x+ ln(x-1)4+C d) x+…

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Q: Question 5 A) O B) 48 32 D) 96 If f cos+2t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A,…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: (a) Find the inverse function of f(x) = 2x - 3. f-¹(x) = (b) The graphs of f and f are symmetric…

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