How do you derive the reduction formula for integrating sec^3xtan^2x?

Q: Foluso needs to construct a cylinder from a single sheet of metal with a perimeter of 678 mm.…

A: single sheet of metal with a perimeter of 678 mm

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A: The given function is: fx,y=exy-x2 To find the maximum rate of change at the point 1,1 and the…

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Q: Sketch the graph of the given function. Check your sketch using technology. f(x) = x² + 4x + 4 (a)…

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Q: 7. Consider the function f(x) = ln(ln(lnx)). Find the domain of f. (a) (b) Find the inverse of f.

A: a) Domain: Interval notation e,∞ Set Builder notation x|x>e

Q: e) h(x)= x-6 x²-36

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: 6. Consider the function (a) (b) y = 1+ log₂ (x - 1). Graph the function Label at least 3 points on…

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Q: √24.73

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Q: Sketch the region enclosed by the curves x = sin 9y and x = y, and compute its area as an integral.…

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Q: . Consider a rectangular bathtub whose base is 18 ft2. a. How fast is the water level rising if…

A: Topic - Application of derivatives We are given  Area of base of rectangular bathtub=A=18 ft2

Q: f(x) -1). = f(x) = (x + 4x4)³, = = lim X→-1 = lim →-1 = (xim ₁ 0 + (1 = ( −1₁+ 4 ( [ -1 lim (x) +…

A: Given query is to find the limit.

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

Q: 7z Let f(x) = x¹². Use logarithmic differentiation to determine the derivative. I f'(x) = f'(1) =

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Q: A. Find the slope of the tangent line to the parametric curve x=t/2, y = t2 + 1 at t = -1 and at t =…

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Q: onsider the triangle below (not drawn to scale). A b с с a B et c = 9, ZC = 95° and ZB = 30°. Find…

A: Given c = 9 ∠C = 95°∠B = 30°

Q: y" + 4y = -12 cos 2x - 4 sin 2

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

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Q: Determine which, if any, of the following f(x) = 9² +9, 32x+3, g(x) h(x) = = 27 (95),

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Q: Question in picture

A: We will find the required domain.

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Q: 1. Evaluate the following limits or indicate that they diverge. lim (1 + 3x)² z >0+ a.

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Q: Consider a triangle ABC for which ZA = 104°, a = 34, b = 17. If such a triangle can not exist, then…

A: Given Data ∠A = 104°a = 34 b = 17

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Q: using polar coordinates: I 1 J-√4—z² 17x² + 17y² +1 dy dx

A: Given double integral:- ∫02∫-4-x24-x2117x2+17y2+1dydx

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Q: g(x) = x³ 27x, domain [-6, 6] Indicate the x- and y-intercepts. (Order your answers from smallest to…

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