A ball is shot into the air from a bridge, and its height, yy, in feet, above the ground tt seconds after it is thrown is given by y=f(t)=−16t^2+41t+34y. Answer the following questions. Round your answers to one decimal place. Graph the function f(t) in your calculator. From the graph estimate the maximum height the ball will reach. Answer:

Q: Use the Power Rule to compute the derivative. ƒ'(x) = = 28 d dx -x0.2

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Q: Find the equation of the tangent plane to the surface z=cos(5x)cos(8y) at the point (2pi/2,pi/2,-1).…

A: given  z=cos(5x)cos(8y)   at point (2π2,π2,-1)equation of tangent plane of z=f(x,y) at (x0,y0,z0) is…

Q: Use the Power Rule to compute the de d 4 x dx |x=-1 ID

A: We will find the  required derivative.

Q: Find the derivative of the following function. y=3sec x+4 csc x

A: y=3secx+4cscxsecx=1cosxcscx=1sinxd dx(sinx)=cosxd dx(cosx)=-sinxd dx(ab)=b×dadx-a×dbdxb2

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Q: Find all solutions of each equation on the interval [0, 27). 4 cos²x-1=0

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Q: 3) f(x)=x²-5x-6 4) f(x)=x²-x (ans.: max.(-1,-2); min.(1,-10)) (ans.: min.(0.25,-0.47 ))

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Q: The graph below is the function f(x). U 54324 15 -4 -3 -2 -1 lim f(1) z 2+ 1234 -2 -3 Find the…

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Q: f(x)=-5x+4 g(x)=x²+x Find a) (f+g)(x)=? domain of f+g : ? b) (f•g)(x)=? domain of f•g : ?

A: We have given two functions  fx=-5x+4 gx=x2+x (a) f+gx=fx+gx f+gx=-5x+4+x2+x f+gx=x2-4x+4 Domain is…

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A: The region bounded by the graph of fx=11+x and the x-axis for 0≤x≤8  is revolved around the x-axis.…

Q: -3 8.5 -0 TH -$ 4 € 7 1 19- 1 M P La

A: From graph, In left side , graph is increasing.    Maximum value of f is is infinity.

Q: QUESTION 1 Find the specified domain. For g(x)=√√x + 6 and h(x) = O [-6, 9) U (9,00) O [0, 75) u…

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Q: d(A. B) dt = A. dB dt dA dt B

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Q: The graph below is the function f(x) DO 8 4 Find lim f(x) I-1- Find lim f(x) Z-1+ Find lim f(x) HI…

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Q: Given the function f(x) = x² + 2x: a. Evaluate f(5). f(5) = b. Solve f(x) = 15. x= (Use commas to…

A: Topic - Functions We are given f(x) =x2+2x

Q: 10. Identify the location of the relative maxima and relative minima of the function. M -5-4-3-2-1 1…

A: Question -   10. Identify the location of the relative maxima and relative minima of the function.

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Q: Consider f(x) = (1 + x) =

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Q: lim 8 cos(x)

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Q: Evaluate the integral. *π/8 وع sin(4x) 2 1 + cos² (4x) dx

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Q: -3x+7 for x < -1 Let g(x)=x² +3 for-1<x<4 5 for x ≥ 4 Evaluate: i. g(3) ii. g(-2) iii. g(-1) iv.…

A: Topic = Function

Q: If tan 0= 0 0 0 0 0 -0.54 - 1|2 3√/13 13 2√13 13 0.18 w/so V5 √15 4/3 7√53 53 5/3 7 and 0° <0<90°,…

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Q: a. Find the cross product u x v. Express the answer in component form. b. Sketch the vectors u, v,…

A: Note : As per rule I need to solve only first three subparts.

Q: Graph the given piecewise function f(x) if x ≤0 if 0 2 f(x) = = {²- X- E 5 A (x - 2)² +1 3 42 B+ 5…

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Q: 2. Find all horizontal asymptotes of the graph of Justify your response using limits. f(x) = 2x³ - 3…

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Q: 2/13/23, 4:59 PM snhu ACADEMIC SUPPORT Find the indefinite integral. Remember to include a "+ C" if…

A: G=∫8etdtwe know  ∫exdx=ex+c

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Q: Evaluate 32 tog log₂³² - log₂8

A: let  V=log232-log28formula used logxn=nlogxlogxx=1

Q: Trigonometric Identities If sec = 5, find cot e. A. 66 B. C. D. 2 2答案 s 45 24 25

A: secθ=5we know secθ=1cosθsin2θ+cos2θ=1cotθ=cosθsinθ

Q: 11. Try again You have answered 1 out of 2 parts correctly. Let h(x) = f(x) · g(x), and k(x) =…

A: Given :- Let hx=fx·gx and kx=fx/gx

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Q: 2. Solve the 3-part compound inequality. Draw the graph of the solution and write the solution in…

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Q: Sketch a possible graph of a function that satisfies the conditions below. f(0) = 1; lim f(x)= 3;…

A: Topic = Function Correct graph =D

Q: If sinx+cos x = 1/3, then 18 sin² X -9|=

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Q: b)[((sin² x) In(x² – 3x + 1)(tan−¹ x)) dx] -

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Q: Give a limit expression that describes the right end behavior of the function. Use - ∞ or ∞o where…

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Q: Find the distance in between the point P(−1, −2, 2) and the point Q(3, −1,0).

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Q: Find all solutions of each equation on the interval [0, 27). 3 tan x-√3=0

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Q: Let ƒ be the function defined by f(x) = √√| 4 − x | for all x. Which of the following statements is…

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Q: 9. A cell phone plan charges $34.95 per month plus $9.9 in tax, plus $0.12 per minute for calls…

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Q: a. Find an equation for the secant line through the points where x has the given values. b. Find an…

A: INTRODUCTION If a function can be drawn without removing the pencil from the paper, it is said to be…

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Q: Given the points A: (-6,-1,3) and B: (4,1,-5), find the vector ủ = AB u = <

A: Topic = Vector

Q: f(x) = 2x² − x at a = 0

A: The given function is: f(x)=2x2-x at a=0

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Q: List the points in the graph in the interval 0<x<6 at which the function is not differentiable. Ау…

A: Answer: 1) Given graph of a function,     We have to find the points on x-axis, where the function…

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