The tortoise versus the hare: The speed of the hare is given by the sinusoidal function H(t) = cos(t) whereas the speed of theltortoise is T(t) = t, where t is time measured in hours and speed is measured in kilometers per hour. If the race is over in one hour, who won the race and by how much? Use a calculator to determine the intersection points, if necessary, accurate to three decimal places. Round your answer to three decimal places, and do not include units. Select the correct answer below: The hare won by a distance of .592 km The tortoise won by a distance of .592 km The hare won by a distance of .159 km The tortoise won by a distance of .159 km The hare and the tortoise tied. IRRACK MORE INSTRUCTION

Q: Use the chain rule to help you find dy/dx for each of the following functions: 10. y = (x²+4)³ 12. y…

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Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).

A: y =tanx y'''=2(y2+1)(3y2+1).

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A: Given differential equation is secy dydx+sin(x-y)=sin(x+y)

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A: See this solution in below with details.

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Q: Evaluate the piecewise defined function at the indicated values. 7x if x 5 Read It Watch It 6 Master…

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A: The following graph is the result of applying a sequence of transformations to the graph of one of…

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A: We have to find dot product of A and B here

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A: Basic identities of differentiation are used.

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A: The given functions 7. y=cos x8. y=ex9. y=ln x we have to find the derivative of this functions.

Q: (c) If b = 1, what is the range of this function? (Enter your answer using interval notation.)

A: Topic = Function

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Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).

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Q: 1. Given: F(x) = 3x²+x-4, G(x) = 1 -x and H(x) = e. Find the following. M d. H (0) F (1) h i j F 2x…

A: NOTE: Refresh your page if you can't see any equations. . take x=0 ...................answer(d)

Q: Book Problem 27 If ƒ(2) = 25, ƒ' is continuous, and f f'(x) dx = 13, then the value of f(9) is

A: Given, f(2)=25, ∫29f'(x)dx=12

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A: False statement

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A: I have stated the used formula in the solution

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A: To evaluate the integral.

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Q: DIGITSL FORMAT wing double integrals and draw th xdy

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A: We have to solve the given system of equations.

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A: Given :Radius r= 4 ftCentral angle θ = 4π3

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A: Given:- y1=x-33 , y2=x-3

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Q: 4. Let w = f(z) = 2iz + 6z, find u and y and the value of fat z = ¹+ 4i

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Q: x² (d) S √1-4x² (HINT: sin² t = dx. (1. (1 - cos 2t).)

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Q: d (19) dx [xy] dx

A: We have to find the integral.

Q: Question 2 19-√5 Part A: Given sin 8. determine three possible angles on the domain [0,0⁰). Part B:…

A: See the details solution in below

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A: This question can be solved using the concept of condition of two lines to be perpendicular