A carousel with three rows of animals has an angular speed of six revolutions per minute The second row of animals is at a distance of 5 feet from the center. Find the linear speed of the second row of animals. Express your answer in terms of pie, and then round your answer to the nearest integer

Q: 202021: functions, integrals. Recall that we say a function g is even if and only i g(x) = g(-x) for…

A:

Q: Let D be the triangle in the xy plane with vertices at (-2, 1), (1, 0), and (3, 4). Describe the…

A:

Q: I having a struggle with this problem

A:

Q: A pole of length L is carried horizontally around a corner where a 3-ft-wide hallway meets a…

A: We have to find the value of .

Q: 324,999,900 S 325,000,000 1+3,249,999.-० -0.2X

A:

Q: Evaluate the following integral by first converting to polar coordinates. Z 2 −2 Z 2 − √ 4−x2 cos(x…

A: x is varying from -2 to 2y is varying from - to 2The region is a circle which lies only in first two…

Q: Suppose an airplane is flying 170 mph with a heading 25° east of south (295° measured…

A:

Q: Find the solution to the initial-value problem dy dx e5y. 3, y(0) = ln(ln(3))

A:

Q: 1. Simplify first, then evaluate. Do not use calculator. a) logg 6-logg 3 +logs 2 b) log, 3√3

A:

Q: Below is the graph of a function. Which of the following could be a graph of its c 3 2 1 -2 T3/ 1 2…

A:

Q: (7) A formula for the general term starting with n = 1 of: A) {} B) {} C) (-1)" 3") 472 D) 39 - ) -…

A:

Q: Əf af For the function f(t, x) = sin (4лt + 9x), find and at da af (Type an exact answer in terms of…

A: partial differentiation

Q: If the rate of change of N is inversely proportional to N(x) where N > 0. If N(0) = 10, and N(2) =…

A: This is question of calculusHere function is given We have to find constant term k in this. Using…

Q: Solve the following equation for x. 6* = 216

A:

Q: 1. Perform the indicated operation. X (1-2x)3 dx

A: We need to evaluate the following integral

Q: 2. exp 2x²-8x+3 2 dx

A: Since you are asking the solution of question no 2 only. We are answering only the question 2.…

Q: tan x2 x dx (Hint: Start with integration by parts.)

A:

Q: (b) Consider the first order linear differential equation dy Y + dx x-1 = 2 (i) Find the integrating…

A: Consider the first order linear differential equation.(i) To find the integrating factor for this…

Q: (4) The interval of convergence B) (---) A) [0] of the power series C) (-3,3) is: -1 D) (-∞0,00)

A:

Q: Find the reduced row echelon form (RREF) of R = = 2 -1 3 -2 5 -3 4 1 -4 3 1 -5 -7 -3 2

A: we have to find the reduced row echelon form of the given matrixWe denote

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: We have to find the volume of solid generated by revolving the region bounded by the graphs of the…

Q: Determine all possible values of 0, 0≤0 ≤ 2π, if sin = √√3 2 cot 0= -√√3

A: Note: Due to guidelines, I can solve only the first question

Q: / X 9 - x² dx

A:

Q: What is the exact value of (57) ₂ 12 tan

A: To find the exact value of .

Q: Find the equation of the sphere passing through P(-2, 7, 6) and Q(8, -5, 7) with its center at the…

A:

Q: Examine the graph of y = f(x) in the vicinity of x = c, and then select which statements are true.

A:

Q: Match each trigonometric function with one of the graphs. f (x) = tan z f(x) = cotr f(x) = secr =…

A:

Q: S sin x cos²x+cosx dx

A:

Q: (x = 2+t 10. Given L₁: y = 1-t;t ER and L₂: F (3,0,-1) + s(2,3,-1); SER z = t a) Determine whether…

A:

Q: Data released by the Department of Education regarding the rate (percentage) of ninth-grade students…

A:

Q: Verify Green's theorem for the indicated region D and boundary 3D, and functions P D = [−4, 4] ×…

A: here the given question is P(x,y)=x and  Q(x,y)=y

Q: 5. In some biological applications, population size P as a function of time t may be modeled as A 1+…

A:

Q: According to the Economist the population of Russia has been declining. The population of Russia was…

A:

Q: The position of an object moving along a line is given by the function s(t) = − 11t² + 77t. Find the…

A:

Q: A cubical box has interior measurement of exactly 3 meters long along  each edge. If the material…

A: To approximate the volume of the material used in constructing the box, we can consider the…

Q: Determine the exact value of each of the following expressions. sin 7π 6 (47) 3 cot cos(-5+7)

A:

Q: A rate of change of H is given by d = k(5 + H). When t = 0, H = 4. When t = 3, H = 10. Solve for…

A: A rate of change of H is given by .So,        Given that t=0, H = 4 => H(0)=4and when t=3, H=10…

Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

A:

Q: 8. A laptop computer's battery has a voltage drop modelled by the function t V(t) = 20e 16, where V…

A: A laptop computer's battery has a voltage drop modelled by the function  where V is measured in…

Q: Use variation of parameters to solve the initial value problem

A:

Q: Find the solution of the differential equation r" (t) = (et-6, ²-1, 1) with the initial conditions…

A: We will integrate it with respect to t and then use initial conditions to find the values of…

Q: (-8,2) (-2,0.7) 10- (-6,-2) (-3,-2) 10

A:

Q: Find the indefinite integral.

A:

Q: Find the location at t = 3 of a particle whose path satisfies 5 = (18r - (+12+ 21-4) (t 1)² dr dt…

A:

Q: 15. 5² dx (x² - 1)3/2 1/2 17. ²x√1 - 4x² dx 19. f √ √ x 21. fºx² √a² — x² dx 23. f √x²-9 29. J S X…

A:

Q: find F'(x) f(x) = 7 +1

A: The function is given byTo determine: The first derivative of the function.

Q: (13) Sup (14) The coefficient of x3 in the Maclaurin series expansion of e2x is: A) - B) C)- D) is…

A:

Q: Find Vf at the given point. f(x,y,z)=x² + y² - 3z²+z Inx. (1,4,3) Vf|(1,4,3)+(+(k (Simplify your…

A: Given:We are required to find:

Q: the graph of y=f(z) (below) to fill in each box with the best possible answer: 1) lim (2) 3 11) Im…

A: By using the graph of  to find the following limits.Note: Since the student has posted many…

Q: (2) Solve for y in terms of x In (2y+1) + 3x = 1n (4) -1 given

A: