Justin boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for several rotations. The Ferris wheel has a radius of 10 meter and when Justin boards the Ferris wheel he is 16 meters above the ground. Imagine an angle with its vertex at the center of the Ferris wheel th subtends the path Justin travels. a. Define a function ƒ that expresses Justin's horizontal distance to the right of the center of the Ferris wheel (in meters) in terms of the number of radians 0 the angle has swept out since the ride started. f(8) Preview b. Define a function g that expresses Justin's distance above the ground (in meters) in terms of the number of radians 0 the angle has swept out since the ride started. 9(0) Preview

Q: Find F(-1). 2e3t sin (2t) – 3e3t cos (2t) COS Round-off to 1 decimal place.

A:

Q: Q1. Let R be the region enclosed by the curve y = 3x+et and the lines x = 1, x = 2, and y = 0 Let S…

A:

Q: Q9. Find the equation of the tangent plane to f(x, y) = x ln(y) +x²y+3 at the point (x, y) = (2, 1).…

A:

Q: A student attempts to find the shortest distance between A and B as shown below. There are two lines…

A: To find the mistake and to determine the correct solution.

Q: Using "Numerical Differentiation (Central Finite Difference)" Problem Solving f(x) = 4e-2xsin(x2)…

A: 1. The product rule for differentiation states that ddx[f(x)·g(x)]=g(x)f'(x)+f(x)g'(x), where f(x)…

Q: Q2: Employ fixed-point iteration to locate the root of S(x) = sin ( vx)-0.5 x Use an initial guess…

A: Ans: x= 0.525

Q: An international airline has a regulation that cach passenger can carry a suitcase having the sum of…

A: Here first we need to find the value of volume in terms of two dimensions using the given relation…

Q: Assume that  dx1/dt= x1(2-x1)-x1x2 dx2/dt= x1x2-x2 a) Graph the zero isoclines. b) Show that (1,…

A:

Q: Compute the line integral -xdy + ydx 2(x-y)2 + 4xy where L is the circle (1-x)2 + y? 3 with a…

A: We will find parametric equation of L and then convert whole equation in parametric form

Q: QUESTION 3 Select the expression that is equal to 12P4 12 x 11 x 10 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5…

A:

Q: How many distinct permutations can be formed using the letters of the word "CHARACTER"? There are…

A:

Q: hw.2 Evatuate the fotawing cartesian integrats by changing theminte equivalent Pala integrals: dy dx

A:

Q: vative of o = P(1, 1, 1) in t 3 = Z

A:

Q: 2. Given that cos pv o v+B? 2B (a) Find the Fourier transform of x+b? (b) Use the result from (a) to…

A: Sol

Q: Q10. For the function f(x, y) = x³e3y find the maximum value of its directional derivative at the…

A:

Q: 6. Solve using Laplace transforms: y' + 3y = e5t, y(0) = 2

A:

Q: Let T(x, y) = (5x – 3y, –7x + y) be a linear transformation. Find a basis B for R? with the property…

A:

Q: 1. (Qл R) v^P 2. "Q 3. Q → ~R P.

A:

Q: Solve the system of equations by graphing: S-3y + 6x 18 %3D 2x 6 If the system is inconsistent (has…

A: Solution:    (x,y)= (x, 2x-6)

Q: Two similar cones have heights of 4m and 12m. What is their scale factor? What is the ratio of their…

A: Given: Both cone are similar

Q: 2 Evaluate the feltowing cartesia

A: Given,        ∫04∫325-x2dydx=

Q: MAΤΗ Μ413 DANIELE ROSSO HW 12 (1) Prove that the function f(r) = is not uniformly contimuous on (0,…

A:

Q: 4. Use the contour integration to find f G dx. 1 x4+16

A: Answer: π/(16√2)

Q: This exercise uses the radioactive decay model. The half-life of cesium-137 is 30 years. Suppose we…

A:

Q: Repeat Ql with Ax= 0.05, 0.025, 0.0123 and determine whether the convergence with Ax is consistent…

A: "Since you have asked multiple questions, according to our guidelines we will solve only the first…

Q: give an example of a power series with an interval of convergence of -5<x<3 or state why no such…

A: The given interval is: -5&lt;x&lt;3 Add 1 from to sides of the inequality:…

Q: Find least square quadratic approximation of function with f(-2) =0 f(-1) =5 f (0) =0 f (1) = – 5 f…

A:

Q: Given the joint distribution X # of Red 1. 2. 6/252 12/252 3/252 12/252 64/252 36/252 3/252 3/252…

A: By definition of Conditional Probability,       P(X&lt;Y|Y=3) = P(X&lt;Y n Y=3)/P(Y=3)…

Q: #12, Arepresents He loine i HER Which pt. on A is closest to the pont P(2, -1,4)! A) (s/2, IM, W4)…

A:

Q: 3. Supply the missing integrand and limits of integration 62*y drdy = dy (b) L"62y dydr = L dr

A: Introduction: The double integral is most commonly used to calculate the surface area of a…

Q: evaluate t-0.01, Given: 21' + 201 = 100, I(0) = 0 Round-off to 3 decimal places. Answer: 0.476

A: Laplace Transform or Inverse Laplace , solution of the intial value problem

Q: Let if 0 < x <1 f(x) = %3D 1-1 if 1< x <3 for 0 <x < 3. At x = 4, the Fourier cosine series for f…

A: Given that,fx=xif 0≤x&lt;1-1if 1≤x&lt;3for 0≤x&lt;3

Q: Compute y(1). given: Y(s) = 2. 3-5s Round-off to 4 decimal places.

A: Given Y(s)=23-5s We have to find the value of y(1) using inverse Laplace transform.

Q: Let 1 9 i = Find a basis of the subspace of R4 consisting of all vectors perpendicular to v.

A:

Q: v(t) = cos(2t)

A:

Q: Suppose that f is a continuous function such that | f(z) dz = -12. Find 1*f (2") dr.

A:

Q: 2. Three different types of computers need varying amounts of four different types of integrated…

A: Given- Three different types of computers need varying amounts of four different types of integrated…

Q: All リ (-1)* 1 1. n0 n! 2. If lim an = 0, then an converges. n00 n=1 If an >0 and E an converges,…

A:

Q: 2. Check the convergence or divergence of the following series and find the sum if the series…

A: Since you have asked multiple questions, we will solve the first question i.e., (a) for you. If you…

Q: 1. The weekly investment report each company's stocks with its high bid, low bid, closing bid…

A: Average net change= sum of all the net changes/number of terms.

Q: 2. An international airline has a regulation that cach passenger can carry a suitcase having the sum…

A: Solution:   let width =x, length =y ,height =z given  each passenger can carry a suitcase having the…

Q: Find the point P such that v = PQ has the components (-7.75, –8.25, – 16). О 3D (-2.75, -2.25, -6) P…

A:

Q: Fin o all SoinEl ons 6 x EIO mod

A: For x in {0, 1, 2, . . . . . 43}, value of 6x ranges from 0 to 6x43 = 258. Now 6x = 10 (mod 44)…

Q: ular steel plate 3.74 in. by 9.34 in. by 1.00 in. thick with a 2.00-in.-diameter hole in the center…

A: Introduction: The volume of the cuboid with length l, width w, and thickness h is given by, V=lwh…

Q: True or false? For all sets A and B, (AU B)' = A'UB'. %3D This can be determined by constructing a…

A: Introduction: Set is very important in mathematics. A set is nothing but a collection of objects.…

Q: Az + 2xy²)dx + (cos y + 2x²y)dy = 0

A:

Q: Let -2 -3 3 4 2 and let W the subspace of R4 spanned by i and v. Find a basis of W+, the orthogonal…

A:

Q: QIn usual to fol @ Is Co,1 ] is Is Lo D .)

A:

Q: nsform of 20 sinc (10(t - 10)

A:

Q: 14. In each part, use the given information to find the rank of the linear transformation T. a. T:R'…

A: