Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having a volume of 110 cubic inches.

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Q: Suppose f''(r) = - 18z + 2, f'( – 1) = – 18, and f( – 1) = 1. Then f(r) =

A: See the answer below

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Q: Activity 1. Calculate the Extrema Directions: Calculate the absolute extrema of the given functions.…

A: We need to find critical points to find extreama  or minima.

Q: 4x-6z+5 2+3cosz sin z 9. Find dz.

A: Here we have to integrate the given Integral.

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Q: 2.(Trivial) Verify that for any positive integer n the piecewise defined function x2n+1. – x2n+1. x…

A: y = x2n+1, x<0andy'=(2n+1)x2n+1-1y'=(2n+1)x2nVerifying;xy'-(2n+1)y=0L.H.S.=x (2n+1) x2n -(2n+1)…

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A: Given query is to find the x intercept.

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Q: Exercise To Try 8 For the curve f (x) = 2r-9a2 + 12r - 5, find (i) the local marimum and minimum…

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A: Given:     ∫-4432-x2-x2dx Here the integrand is the difference between the two functions. The two…

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Q: Write an equation for the transformed logarithm shown below, that passes through (2,0) and (-2,3)…

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Q: Differentiate the function. ((5y + 1)3 Vy2 + 1 G(y) = In G'(y) =

A: Solve the following question

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A: y=tan(5x+8)Differentiate on both sidesdy=sec2(5x+8)×5×dxSubstitute x=5  , dx=0.1…

Q: Use a graphing utility to graph the function on the closed interval [a, b]. x) - Ixl - 3, (-7, 71 -2…

A: topic - Rolle's theorem

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Q: 3.(Straightforward) Solve the separable ODEs: (a) dy/dx = y/x².

A: Since you have asked a question with multiple parts in a single request we would be answering only…

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A: we know, ∬Rfx,ydA=∫03∫02fx,ydxdy

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Q: (d) Determine the probabilities of the following events: E1, E2, E3 E1 O E2 E1 U E2, and E2

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Q: Let Z1 -2V3 – 2i and z2 = -1 + iV3 • Z2 Find the product: z1 • Z2

A: To find the product of the given complex numbers.

Q: - If g(x)=-9x+2 evaluate g (0), g (-5) and g(2x+3)

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Q: Directions: In implicit differentiation, we differentiate each side of an equation with two…

A: according to company rules we can answer only first question and rest can be reposted.

Q: It says Find the area of the region that lies inside r=2sin(theta) and outside of r=1.

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Q: Consider the function below. (If an answer does not exist, enter DNE.) f(x) = e5x + e-* (a) Find the…

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Q: 16. The value of y' for y = x³ + 2x² – 4 at point (-2, –4) is, I. -4 П. 4 III. 6 IV. 8 | II O IV

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Q: pq21

A: We will find the rate of change of distance between the plane and radar.

Q: Directions: In implicit differentiation, we differentiate each side of an equation with two…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: f(x) = x3-3x2+3x-1 ;   m = -1   ;  [-1, 2]

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Q: If the multiplicity root m = 2 which wil converge faster newtons method or biscection method? Give…

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Q: PQ27

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Q: An object is moving along a path defined by the graph   x2+y2=2   Compute dy/dy, if dx/dt=2,x=−1,…

A: Differentiation application

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Q: Find the coefficient a of the term in the expansion of the binamial. Binomial (3x-ay): Term 2 8 ax

A: The general term of (x+y)n is given by:Ar+1=Crnxn-ryr  , r=0,1,2,....Then general term of (3x-2y)8…

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Q: 11.(Straightforward) Find a particular solution to each of these by using the method of variation of…

A: Since we are given with multiple number of subparts, answered according to the guideline

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A: topic - derivative of a function

Q: 3n! 3n! Find lim State whether 2n=1 converges or diverges. n→∞ 4n!-1) 4n!-1

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Q: Let y 2x2. Find the change in y, Ay when x 1 and Ax 0.3 Find the differential dy when z = 1 and dx…

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Q: Find the average value of f(x) = over the interval [0, 1]. (3x2 + 3)² Enter the exact answer. fave

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