Find the shortest distance from the point P(10, 9, 8) to the paraboloid z = 9-x2 - y2. Give your answer correct to 2 decimal places. 11.86 x

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Q: 9. How much money should a company deposit in an account with a nominal rate of 7% compounded…

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A: given  f(x)=2x2-8x on [0,5]for critical points put f'(x)=0d dx(xn)=nxn-1

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A: We will solve for 'x' .

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A: Given that Volume of sphere is V=43πr3and drdt=3cm/min , r=12 cmwe have to dVdt

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A: We have to solve for x.

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A: This is a problem related to differential equation. Please follow the procedure given below.

Q: r(t) = (5t, 3 cos(t), 3 sin(t)), -9 st≤9 ep 1 For r(t) = (f(t), g(t), h(t)), the length of the arc…

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Q: 37 4 4. Find the first four nonzero terms of the power series for f(x) = sinx centered at x = .

A: Please see the below picture for detailed solution.

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A: Topic = Functions

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Q: Use the graph of the function below to find: a) Coordinates of its vertex (h,k)¸ b) Intercepts. c)…

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Q: Spending on Corrections in the 1990s The following table shows the annual spending by all states…

A: Spending on Corrections in the 1990s   The following table shows the annual spending by all states…

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A: The answer is in step 2.

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

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Q: 3. What is the exact value of the trigonometric expression? 2π tan - sec(-π) 7π 4 State your answer…

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Q: (A) m = -1 (multiplicity 3) (B) m = 1 (multiplicity 3) (C) m = -1, 1 (multiplicity 2) (D) m = 1, 1…

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Q: 4. The fish population, p, in a lake can be modelled by the function p(t) = 15(t² +30) (t + 8),…

A: p(t)=15(t2+30)(t+8)rate of change of fish population is d dt(p(t))d dt(tn)=ntn-1

Q: Find the stationary points of the following functions, and determine whether each is a maximum,…

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