Simplify the expression by using a Double-Angle Formula. (a) cos² (37°) - sin² (37⁰) cos 74 (b) cos²(90) - sin²(90) 14x

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A: Since you have posted multiple questions i can do first three subparts of first question as per our…

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A: x = et − 9t,    y = 12et⁄2,    0 ≤ t ≤ 5

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Q: choose for u. -) dx, so it is helpful to look for some expression in 1 9x + 4 dx

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A: Find two numbers whose difference is 100 and whose product is a minimum

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A: given  S=800000e-0.2twhere S is weekly sales in dollars and t is number of weeks

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Q: 10. Evaluate: 0 x³ dx Ĵ 47 ₁(2-x²)²

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Q: Q6. Reverse the order of integration of ¹ (²-² f(x,y) dx)dy.

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [(9-2x1¹2 dx

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Q: On which interval is the function continuous? f (x) = e=²1

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Q: 73. Σ 3*

A: ∑k=1∞3-k

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Q: Find (14x+6)dx. (14x-

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Q: 5. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. a) S…

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Q: 3) Consider the function g(x) = cos(3x). a. Write the first three non-zero terms of the Maclaurin…

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Q: 7. Part 2. Evaluate each definite integral using the Fundamental Theorem of Calcul TT/2 a) √ (3e* +…

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Q: 9. The marginal revenue function for the company is given by 0.000045x² -0.03x +3.75 0≤x≤500 Recover…

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