Consider the curve C: y=cos x. You may assume that for all values of x = [0,/2] the curve C lies on or above the line y=1-- and on or beneath the line y=-- √2 */2 Hence, from this assumption and by considering areas, provide an argument to show that л/4 ≤ 3 c cos x dx < 2x (4+ x)² 32 √2 π 4+* 4√√√2

Q: 8. If f(x) = sin-1x, then f(-) is: A. " 2. TC С. 6. 3 В. D. - 3. 6.

A: f(x)=sin-1x

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A: solution of the given question is like aS:

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Q: 10. Evaluate 1 Hint: Substitute x = 3 sin 0, where - T/2 ≤0 ≤ π/2. √9-x² x² dx.

A: The given integral is

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A: Given ft=cos2t+sin3t

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A: Recall the following formula  ln(a+bi)= ln √(a²+b²) + i tan-1(b/a) .

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A: To find the value of given integral.

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Q: 2. If f(x, y) = x² + xy − cos(xy), find the domain and range.

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A:

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Q: 17. y' 2yet, y(0) = 2

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A: Given query is to find indicated partial derivative.

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A: given  f(x)=8sinx d dx(sinx)=cosxstandard form of quation is y-y1=m(x-x1)where m is slope m=f'(x)

Q: (x) = cosx + sinx function; (Table attached in to description) table is given. a) Find the…

A: