in lim n' In n→∞ n!

Q: Rotate the region specified above by the curve y = x and beneath by the curve y = x2 from x = 5 to x…

A: Explained below

Q: If m is a positive integer, does 6 divide (2m)(m+2)(3m+3)? True False

A: Here, the given number is: (2m)(m+2)(3m+3)=2(m(m+2))3(m+1)=6m(m+1)(m+2) because multiplication is…

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

A:

Q: Find the volume of the solid generated byrevolving the specified region about the given line. R…

A: Let's find.

Q: dxdy y Vy2-x2

A:

Q: The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is…

A:

Q: Use the shell Method to find the volume of the solid generated by revolving the area bounded by the…

A: The given curves are: x=4y-y2, y=x   Now find the point of intersection between the given curve and…

Q: Let 8n an 1- 2n For the following answer blanks, decide whether the given sequence or series is…

A:

Q: In the year 2000, the population of a small city was 50,000. The population grows at a rate of r(t)…

A:

Q: Estimate the area under the graph of  f ( x ) = 1/(x ^2 + 4)  over the interval  [ 1 , 4 ]  using…

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Q: Use the provided rectangular and polar graphs for sketching  Sketch the region bounded by the…

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Q: 1 0 0 A = -1 2 0 1 0

A:

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

Q: Preview Activity 1.1.1. Suppose that the height s of a ball at time t (in seconds) is given in feet…

A: Here we have to plot the graph

Q: Consider the following function. g(x, y) = e5x² – 5y² + 10/7 x %3D (a) Find the critical point of g.…

A: Concept of two variables function.

Q: 2. S(4a³ – 6a² + 15a)(-a² + a – ) da

A:

Q: Find the cylindrical equation for the ellipsoid 4x2 + 4y² + 2² = 1.

A:

Q: | |x| +1, x 0 (If) f(x) = {0, For what value of a, does lim f(x) exists. x -> a

A: The given function,       fx=x+1,x<00,x=0x-1,x>0

Q: 5: Evaluate dw/ dt at the given value of t, by using the Chain Rule and by expressing w in terms of…

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Q: x' - 4x? 13. By partial fraction decomposition, the integral - dx can be written as (r + 1)°(5x² +…

A:

Q: Use Gaussian elimination to find the complete solution to the following system of equations, or show…

A: Cases after reduction of the matrix:1. Rank(A) = Rank(A/B)=number of variable ⇒unique solution…

Q: Determine the volume of the solid generated by revolving the region bounded by y = x2 – 4x + 5, the…

A: The given curves are; y=x2-4x+5, x=1, x=4, y=0 x-axis From the given curves the bounded region is as…

Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

A: Given query is to find the velocity after 5 second.

Q: -1 Given f (x) = tan (2x), find f'(x) in simplest form. Answer: Submit Answer

A: f(x)=tan-12x

Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate…

A: convergent series

Q: Determine algebraically whether the function f(x) is even, odd, or neither: f(x) = 2x4 − x2

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Q: For the given matrices A and B find each of the following. (a) A+ B, (b) B+ A, (c) A-B 4. 4 - 1 10 7…

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Q: A particle moves along the x-axis such that at any time t 0 its position is ax(t), its velocity is v…

A: The velocity of a particle at any time t is given as: vt The acceleration of a particle at any time…

Q: he integrand of the definite integral is a difference of two functions. Sketch the graph of each…

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Q: Find a power series representation for the function and determine the radius of convergence. 3 6.…

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Q: What is the general formular for simple linear regression? * a) y = ßo + ß1x b) y = ß1 + ß0x…

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Q: Example Find the volume of the region ,2 enclosed by

A: We are asked to find the volume of the region

Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 1 + 4 8. 1 1 + 4 + 4…

A: Solve the following

Q: Solve D.E using Exact from first order (x' +y' )dx+(2xy + cos y)dy

A: A differential equations M dx + N dy = 0 is exact if  My = Nx

Q: ~3 (x/x+1)dx

A:

Q: 10

A:

Q: Problem #6: Consider the following function. H(x, y) = 7 In(3x² +y³) %3D (a) Find f(2,3). (b) Find…

A: a. fxx(2,3)  = 42(-3×22+32)(3×22+32)2fxx(2,3)  = -0.2857

Q: 2. For an earthquake that measures 6.0 on the Richter scale what is the amplitude of the energy…

A:

Q: Graph the function, not by plotting points, but by starting from the graphs below. y = 6 - (+* GY y…

A: 13x is a decay function.Option-D represents it.-13x will be exact reflection of option-D about…

Q: Find det A using the method of cofactors and the sign matrix. 2 2 6 A = 0-8 6 - 2 0 1 det A =…

A:

Q:

A: We will find minima, maxima or saddle point.

Q: Find the power Series and determmine the radius of convergence. f()= X x'+16 representation for Hhe…

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Q: Let P = f(t) = 600(1.04)' be the population of a community in a year t. If the percentage growth…

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Q: f(x) da, where Evaluate S 5æ°, 0<x <1 f(x) =3 62, 1 <r< 2. 2 | f(x) dr =

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: dy 8. 6. Which of the following is a particular solution to the differential equation dx when x = e5…

A: Option D is correct answer.

Q: The management of Ditton Industries has determined that the daily marginal revenue function…

A:

Q: Which of the following is equal to ſ e®dt? А. ее В. ее + С С. ееx + С D. eet + C

A:

Q: Use the Comparison Test to determine whether the series is convergent or divergent. L n4/5 n- 2 1…

A: P-Test: The series ∑n=1∞1np converges iff p&gt;1 and diverges iff p≤1 Comparison Test: Let ∑n=1∞un ,…

Q: 13. ап V21+3п 15. ат — 2" cos пл

A: Follow next step