Suppose that the height s of a ball at time t (in seconds) is given in feet by the formula s(t) = 55-16(t - 2)². Construct a graph of y = s(t). 80+ 70 -10-9-8-7 -5-5-4-3-2 -1 60 50- 40 30- 20 10- +10+ 2 5 -00 7 8 9 10

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: given  y=1x4, y=0, x=4, x=8formula for volume is V=2π∫abx(f(x))dx

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A: let d = horizontal distance s = distance from plane to radar  altitude = 2 km

Q: Decide whether the Intermediate Value Theorem applies to the given function on the indicated…

A: The given function is: fx=-x2+x+24 on 0, 6; fc=4 To determine whether the intermediate value theorem…

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Q: 4. Find the area of the region bounded by the curves y = sin x, y = cos x, x = 0 and x = π/2.

A: given y=sinx , y=cosx ,x=0  and x=π2for intersection points sinx=cosxtanx=1x=π4we know in the region…

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Q: -4x + 20 Answer the following questions for the function, g(x) = x² - 8x + 12

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Q: 1. Find and classify the critical points of f(x,y) = x² + 3xy + 4y² - 6x + 16y.

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Q: 3 x x²8x+16 dx

A: Given :∫x3x2-8x+16dx

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Q: Consider the plane which passes through the three points: (-1,9,9), (4, 8, 5), and (4,9,7). Find the…

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Q: The position function of a moving particle is given by p(t) = 1² - 15t +49 feet at t seconds. Find…

A: given potion function is p(t)=t2-15t+49t is in seconds given partical speed is 5 ftsformula for…

Q: 1.) Consider the function f(x) = 2x² - 3x + 1. Find the average rate of change over the interval…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: ifferential equation of 1/y² - 2/x = 2xy'/y³ Also indicate what its type of

A: given differential equation is :-1y2-2x=2xy'y3now , lets substitute ⇒1y2=u⇒-2y3y'=u'then the…

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A: A graph of y=fx is shown. In the same coordinate system, to sketch a graph  of the derivative…

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Q: Solve y' = + 8 ln x + 10 with y(1) = −2 Provide an exact answer (i.e. no decimal approximations)

A: To provide an exact answer to the following differential equation.y'=yx+8 ln x+10 with y1=-2

Q: If a function is not continuous at a point, then it is not defined at that point. O True O False

A: Given: If a function is not continuous at a point, then it is not defined at that point.

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Q: ) f(x) = x(x − 3)

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Q: T √ V A different radius --radius is 1-3-inches-- We just calculated the instantaneous rate of the…

A: What about the instantaneous rate of the radius when the radius is 13 inches? Would it be…

Q: Determine the infinite limit. O 8 -0 8 lim cot(x) .+ X→π

A: Given: limx→π+cot(x)

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A: Given: Let, Selling Price = x (dollars) Revenue = y (dollars)

Q: iii) Find the time when it reaches the highest vertical distance and calculate this distance. iv)…

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Q: Consider the initial value problem y' + ²y = 1-t₁ y(0) = Yo.

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Q: The graph below is the function y = f(x) 2 ƒ(4) = lim_ƒ(x) = x→2 lim_ƒ(x) = x→3- lim f(x)= x→3+…

A: A detailed solution is given below.

Q: 6. Find the volume of the solid obtained by rotating about the x-axis the region under the curve y =…

A: Ans= π/2  For detail go through the solution...I have solved step by step in detail

Q: Problem 12. Find a parametrization of the circle of intersection of (x+3)² +2²= 4 and y = 4…

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Q: Consider the function defined by the following. B(r) = Bo ro ro Bo Is B continuous at r = ro? O Yes…

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Q: For the function f(x) = 2/x, calculate lim h->0 (f(1+h) - f(1)) / h

A: Given function:- fx=2x

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Q: Solve u' (t) + u(t) = 5 subject to u (2) = -2. 85 Provide an exact expression (i.e. no decimal…

A: Question - solve u'(t) + u(t) = 5 subject to u(2)=-2

Q: Calculus for Engineers Solve for the solutions of the given quadratic equations and system of…

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Q: a. Determine if the three lines have a common point of intersection. 2x₁ − 3x₂ = −13, and -2x₁ + 3x2…

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Q: low is the graph of a function f. -6-4 8- -2 6+ 4+ 2+ -2+ 2 4 6 1. No because 11111 #114 lim f(x) No…

A: We are asked to find is f continuous x=-4

Q: X 10. Let f(x) Find the limit of the average rate of x² + 1 change of f(x) on the interval [2, c] as…

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Q: quantity present, with constant of proportionality K>0 . (a) Set up a differential equation for the…

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Q: In this exercise we use the Distance Formula. Find a point on the y-axis that is equidistant from…

A: at y axis ,  x is zero let assume a point on y axis is  (0,y)given points is  (9,-9)  and (2,2)…

Q: (d) Find the work done by the force in moving an object from point (-2,4) to point (1, 1) along the…

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Q: A function is given as: iii) i) ii) f(x) = 4x²-5x + 3 Find the derivative of the function f(x). Find…

A: Given f( x ) = 4x2 - 5x + 3

Q: A farmer wants to build a rectangular pen and then divide it with two interior fences. The total…

A: Let width = yand length = x Area( A ) = 936 m2

Q: Solve y'= 10xy - 2x, y(0) = 2 y(x) =

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Q: Find the average value of the function over the given interval. f(x) = ekx on [0, 9], where k is a…

A: f(x)=ekxformula for average value of f(x) over [a,b] is favg.=1b-a∫abf(x)dxwe know  ∫eaxdx=eaxa+c

Q: Problem 14. Find a parametrization of the ellipse of intersection of the paraboloid x² +4y² = z and…

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Q: True or False? A system consisting of n linear equations in n variables has at most n solutions.…

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