A hamster runs in its wheel whose radius is 3 inches. The wheel completes 9.2 revolutions in 8 seconds. What is the linear velocity of the hamster's wheel? 2.  A wheel completes 5.6 revolutions in 8 seconds. What is the angular velocity of the wheel in radians per minute? Enter your answer, in exact form as a simplified fraction, in the box.

Q: Use the table of values to evaluate the expressions below. f(x) g(x) 9 7 2 1 6 x 0 1 2 3 45678 9…

A: Find the value of the given expressions. (a) f(g(3)) (b) g(f(9)) (c) f(f(4)) (d) g(g(7))

Q: I am confused on the riemann computing part. 2*4^2+3*4+6 Where did we get the 2 to multiply it by…

A: I understand your doubt  . So we have the following integration . ∫28f(x)dx

Q: Use Euler's method with step size 0.5 to compute the approximate y-values y1, 92, 93, and Y4 of the…

A:

Q: (5.3"-2") 6"

A: Note:- Since you asked multiple questions ,according to our policy we can solve only first question…

Q: 1. Find the solution of the given integrals by using substitution rules. (a) [[sin(2x)]³ dx (b) f(2x…

A:

Q: The function f(x) = - 4x³ + 11.76x² + 90.792x + 6.31 is increasing on the open interval ( It is…

A: Given: The function fx=-4x3+11.76x2+90.792x+6.31 To find:   The open intervals on which the…

Q: Evaluate the double integral. y x² + 1 dA, D = {(x, y) 10 ≤ x ≤ 2,0 ≤ y ≤ √x}

A:

Q: Let F = (x,y,z) and C be parameterized by r(t) = (cost, sint, -5), for 0 st≤ 2. Evaluate Use a…

A: Given that F=<x,y,z> and C be parametrized by r(t)=<cost,sint,-5> for 0<=t<=2pi .

Q: a) If F(x)= = 1 62² dt, then F'(x) 23 t 1 b) If F(z) = 10 dt, then F'(x) = t c) If F(x) = ²* * 1…

A:

Q: Find the exact value of each expression, if it is defined. (If an answer is undefined, enter…

A:

Q: 3. A) 6 O A Given: (y + 5)² = -24(x + 7); how long is the latus rectum? O D B) 12 C) 24 D) 48

A:

Q: Linear DE of Order One Standard form : dy/dx + P(x) y = Q(x) where P and Q are both functions of x…

A:

Q: For each n the interval [2, 9] is divided into n subintervals [ri-1, il of equal length Ar, and a…

A:

Q: lim x² In 1 X→∞ 1 (R+3)x²

A: Given :limx→∞x2ln1-1R+3x2

Q: Let dx dt x(t): = 3et 2. Find x(t) such that x(0) = 2.

A:

Q: Which (if any) of the following differential equations are linear first order equations? dy A: +x²y…

A: dydx+x2y=3 dydx+xy2=3 d2ydx2+x2y=3

Q: Use the Midpoint Rule with n=4 to approximate è, where S TT= 4 1 + x² dx 15%

A: We need to use midpoint rule to evaluate integral.

Q: �=-1cos-π6=-cos2π how did you get the cos2π

A:

Q: A)    Solve for x  lnx + ln (x-4) = ln21 B)    Change to base 10 log520 C) Expand Completely  log…

A: We are going to use these basic log formulas. Log(xy) = Logx + LogyLog (x/y) = Logx - Logy Logab =…

Q: a. What is the partial derivative of this Hamiltonian with respect to x? b. What is the partial…

A:

Q: Suppose C is the curve r(t) = (4t,3t³), for 0 ≤t≤ 4, and F= (8x,3y). Evaluate F.Tds using the…

A: The given curve C is:r(t)=4t, 3t3 ;        0≤t≤4F(x, y)=8x, 3y

Q: Sketch the region of integration and change the order of integration. [['ax. no f(x, y) dx dy f(x,…

A: To sketch the region of integration and to change the order of integration. ∫05∫0yfx, y dx dy

Q: Use logarithmic differentiation to find the derivative of the function y = xsin x dy dx Arrange the…

A: ⇒y=xsinx

Q: 28 n² na1 Select the correct answer below and, if necessary, fill in the answer box(es) to complete…

A:

Q: What is the sum of the infinite series 1 - ()² + (¹ - (9) B B 2 (;) + ··· + (5)²″- ... 2n (-1)"…

A: We need to find sum of the series.

Q: Two wheel gears are connected by a chain. The larger gear has a radius of 5 centimeters and the…

A: The solution is shown in step-2

Q: If g(x) = 3x - 7 and h(x) = (fog)(x) = 9x² - 42x + 49, then f(x) Using g(x) and f(x), determine…

A: Given: g(x)=3x-7h(x)=(fog)(x)=9x2-42x+49 We are required to find: (gof)(x)

Q: Given the following vector field and oriented curve C, evaluate [F.T .T ds. с

A:

Q: (iii) y'=xy²: y(1) = 1, x= 1 (0.1) 1.6

A:

Q: едддддд Stop © Solve the following equations: С © 1092 (5x2-8x) = 2

A: (6)   log25x2-8x=2from properties of log function (i)  if  logab=c than  b=ac

Q: 1. Determine whether the sequence converges or diverges. "El

A: For a sequence ( an ) by perfoming ratio test limn→∞| an+1an | = r if r is definite number then…

Q: Simplify 3+√-75. O3-25√3 O 3+5√3 O 3+25i√3 O 3-51√3

A:

Q: Identify the center, vertices, co-vertices, and foci of the ellipse. (x-8)² 81 + (y-3)² 36 O Center:…

A: x-8281+y-3236=1

Q: 17. Write as the natural log of a single expression: a. 2ln 5 + 3 ln 4 b. 5ln (x¹/2) + ln (9x)

A:

Q: Use L'Hôpital's rule 2. lim x→0 1 (1 + x)5 − (1 − x)5 1 (1 + x)³ − (1 − x)³

A:

Q: Use L'Hôpital's rule 4. lim x csc x x→0

A: limx→0xcscx

Q: Perform the indicated operation and write the answer in the form of a +bi. +bi.(-1)-(15-21) Oi O +…

A:

Q: Σ n=1 n 3n 1 + 8n

A:

Q: Find the interval of convergence of the series of the interval. n=0 (x+2)n (n + 1)2n Show the test…

A: We have to find the interval of convergence of the series ∑n=0∞x+2nn+12n. Also, show the test for…

Q: The function f(x) = log16(x) is the logarithm function with base So f(16) = , f(1) = f(256)= , and…

A: f(x)=log16xfprmula of log function (i)  logaa=1(ii) logxn=nlogx(iii) log1=0

Q: Use the graph below to find the inflection point(s) and concavity: AA 10 -9 -8 1-7 -6 -5 Concave up:…

A: A graph of the function is given, we have to find the concavity intervals and the relative minimum.

Q: For what value of x does the function g(x) = x³ – 2x² attain the point of inflexion? A. x = -1 ن نے…

A: We have function g(x). To find inflection pointswe need to calculate where double derivative of the…

Q: Multiply and write the answer in the form of a + bi. (-4) (5-√√-9) O -6+10/ O 20+12/ O -10 +6/…

A:

Q: Compute the flux of the vector field F(x, y, z) = yl−xj+z−k across the surface S which is the…

A:

Q: (7 5 0 5 4 For the matrix A = 2 4 C. 28 what is the element in the 7 3/ third row and second column…

A: We have a matrix A , need to find the element of the third row and second column of the Adjoint…

Q: Step 1: Solve each equation for its independent variable and match it to its graph. Write the letter…

A: B. -3 is the right option

Q: Graph the equation. Include the coordinates of any local and absolute extreme points and inf 11)…

A:

Q: Determine the graph corresponding to the given vector equation +(3-10sts3 Choose the correct graph…

A:

Q: O Evaluate B) 510956

A:

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. lim n-00 00…

A: