pptxYBIU A ▾ EEEEEThe Capital Wheel is a FerrisWheel on the National Harborthat is 50 meters in diameter. TheCapital Wheel does a completerotation every 40 seconds. Thelow point of the Ferris Wheel is 5meters above the groundAt time t=0, you are on the FerrisWheel at a height equal to centerof the Ferris Wheel.Consider the function H(t) whichoutputs your height on the FerrisWheel at any time t.1. What is the maximum of thefunction H(t)?2.What is the height of thecenter of the Ferris Wheel?3. What is the period of thefunction H(t)?4. Which is the best definition ofH(t)A) 25 * sinB) 30 * sinC) 5 * sinD) 30 * sin20TtDownload20Tt20,+ 30+5+ 30Tt20,+25Present

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Answered: 1. What is the maximum of the function…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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b\ If y = 1 + √2 csc x + cotx is an equation of a function as in the figure find an equation for: (1) the tangent to the curve at the point P(,4). (2) the horizontal tangent to the curve at Q 0 ² Pcx) = 0 (-4) 2 e 3
A cable hanging freely between two vertical support beams forms a curve called a catenary. The shape of a catenary resembles a parabola but mathematically the two functions are quite different. 80 ft 20 ft 360 ft On a graphing utility, graph a catenary defined by y = (e* + e) and graph the parabola defined by y = x2 +1. a. b. A catenary and a parabola are so similar in shape that we can often use a parabolic curve to approximate the shape of a catenary. For example, a bridge has cables suspended from a larger approximately parabolic cable. Take the origin at a point on the road directly below the vertex and write an equation of the parabolic cable. C. Determine the focal length of the parabolic cable. d. Determine the length of the vertical support cable 100 ft from the vertex. Round to the nearest tenth of a foot.
3. Match the rule or formula's name with its characteristics by writing the lowercase letter on the line. M(b − a)³ 24n² A. Midpoint Rule B. Trapezoidal Rule C. Simpson's Rule D. Error bound for Midpoint Rule E. Error bound for Trapezoidal Rule F. Error bound for Simpson's Rule a. Error < Ax b. - (ƒ(xo) + 4ƒ (x₁) + 2ƒ (x₂)+...+ 4f(xn-1) + f(n)) 3 c. Error d. Σ f(m;)Δα i=1 e. Ax 2 M (b − a)5 180n4 f. Error < where M = max(f"(x)) -(f(xo)+2f(ı)+2f(2)+ ...+2f(xn-1) + f(n)) M(b-a)³ 12n² " where M = max(|ƒ(4)(x)|) where M = max(f"(x))

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1. What is the maximum of the function H(t)? 2. What is the height of the center of the Ferris Wheel? 3. What is the period of the function H(t)? 4. Which is the best definition of H(t)