Va dx using upper and lower sums. Guess a (rational) number for the value of the Exercise 2: Estimate integral (using no other information). Remark: Your estimate should be correct to a couple decimal points, but don't spend forever on the problem. A calculator would probably be handy, since, e.g., computing V1/5 by hand is a bit of work. But your work should only be using the silly rectangles, and nothing else.

Q: lim 20 sin(Tx) cos(2x)

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Q: Write the coordinates for the center of the hyperbola: A/ (x-2) (y + 1)² 64 36

A: given  (x-2)236-(y+1)264=1standard form of hyperbola is  (x-h)2a2-(y-k)2b2=1hwer centre is  (h,k)

Q: (a) Estimate the area under the graph of f(x) = 6 + 2x from x = -1 to x = 2 using three rectangles…

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Q: Use linear approximation to estimate 1 √117 Give your answer as a single rational number.

A: Linear approximation of a function f(x) at a point x=b is giveb by f(x)=f(a)+f'(a)(x-a)

Q: A 350-liter tank initial contains 50 liters of water containing 1 kilogram of salt. Suppose that…

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Q: (2) Find the definite integral. 1² + 12 r² + 4 0.

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Q: A thick cable, 60 ft long and weighing 180 lb., hangs from a winch on a crane. Set-up the integral…

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Q: Use the approximation formula for f(a + h) to estimate the value √ 17. Compare to the actual value.…

A: Let's assume the the function y = f(x) = x dy/dx = 1/2x                        (because d(xn)/dx =…

Q: 5. The present value of a perpetuity that will pay out $10 K per year forever is $250 K. Assuming…

A: Given that Present value=$ 250 K    Per year pay-out=$ 10 KAs it is forever paid . it is…

Q: Hang time = 1/2 the square root of the max height

A: In this question, we prove Hang time = 1/2 the square root of the max height for given h.