Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 RX) = È (-1)"+4(n+1)(n+ 2)(n+ 3 )x" n = 0

Q: A telephone line hangs between two poles 14 m apart in the shape of the catenary y = 16 cosh ) - 11,...

A: a) The given equation is y=16coshx16-11. Obtain the slope of the curve as follows: Differentiate the...

Q: A sphere is expanding with time. Assume that the volume of the sphere is V = (4pi * r ^ 3)/3; r(t) =...

A:

Q: # m Find Ay and f'(x)Ax. 2. For y f(x)=. x = -1.6, and Ax = 0.1 at x = -16 and Ax = 0.1 (Do not roun...

A: We will find the values of each. 

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A:

Q: A B Determinant of C D = AD - CB Given the matrix -3 9. Find the Determinant of this matrix. 4 -3 (A...

A: This question can be solved by applying the formula given in problem.

Q: (e) /a (с) dx e2x 2.х

A:

Q: Given the matrix 0 -5 11 6 Introduce the "- R" term to the diagonal of the matrix. -5 - R (A 11 - R ...

A: Given query is to add -R in diagonal of matrix.

Q: II. Answer the following ques 1. A window in the shape of a rectangle surmounted by a right triangle...

A: Given that the ratio of the height of the right triangle to the width of the rectangle is 5:12. Let ...

Q: Q5) A) Graph the curve Y = - 2 x (x - 4)(x + 6)(x - 2) between the value of x [0, 4], then find the ...

A: Solution

Q: Show that the sequence too n! 217 is eventually strictly increasing or eventually strictly decreasin...

A:

Q: Use the formula for the binomial series: m(m-1)---(m-k+1),k + m(m-1) (1 + x)" = 1+ mx + + %3D ... 2!...

A:

Q: Renirite ecc of the fo1lawing buuting ఆUng (A10garithm oto singu algebraic quantity) - Inca) -'/3 In...

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

A:

Q: Solve the given differential equation by separation of variables. dy ху + бу — х — 6 - - dx ху — 5у ...

A:

Q: Find the derivative of the function. h(s) = -2/75² + 9 h'(s) =

A: Given that hs=-27s2+9To find : derivative ,h'sSolution ;hs=-27s2+9h's=-2×127s2+9×14s

Q: A sphere is expanding with time. Assume that the volume of the sphere is V = (4pi * r ^ 3)/3; r(t) =...

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A:

Q: n (a) Express lim as a definite integral. i=1

A:

Q: Question 3 Find the length of the curve with the given vector equation. r(t) = (8 - 21) i+ (4 + 6t) ...

A:

Q: Given the matrix -2 3 3 6 Find the Characteristic Equation and find its solutions (aka: eigenvalues)...

A: Here we have to find the characteristic equation and eigen values of the given matrix.

Q: Find all angles 0 between 0° and 180° satisfying the given equation. Round your answer to one decima...

A: We can use the formula  θ=sin-1ab and sinθ=sin(180-θ) to solve this equation

Q: Given the matrix 2 4 Find the Characteristic Equation and find its solutions (aka: eigenvalues). A R...

A: Solution: Let A=24-17 The eigenvalues of A are the roots of the characteristic equation A-RI=0

Q: Determine whether the alternating series converges. 7ln k (- 1)*- k k=3 O The series converges. O Th...

A: We have to check weather the given series is convergent or divergent.

Q: B) Express the given quantity in terms of sin x and cos x. Sin (2n – x)

A:

Q: Q3) A) Graph the two equations and find the points in which graphs intersect x+y = 0, y= -(×TDÍA UNI...

A: Given

Q: Use the formula for the sum of a geometric series to find the sum. (Use symbolic notation and fracti...

A:

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A:

Q: We found that the power series converges on the interval (1, 5), but the ratio test is inconclusive ...

A: Radius of convegence of the power series,  ∑ak(x-c)k, k ranges from 0 to infinity is given by, 1/R=l...

Q: • 2 f(x)dx 2 du There is a function f(x) such that when u= - x°, the resulting integral is Evaluate ...

A:

Q: b) Find the specific solution to the following 2nd order non- homogeneous differential equations d²y...

A:

Q: Given the matrix 1 2 - 1 Find the Characteristic Equation and find its solutions (aka: eigenvalues)....

A:

Q: For the sequence {an}, with lim an = 9, this means the terms in the sequence approach 9 as n becomes...

A:

Q: Consider the differencial equation given by: 1にY01/sa) de a) This equation have Three equillibrium p...

A: (a)To find the equilibrium point. (b) Classify each equilibrium point as asymptotically stable or un...

Q: df Q4) A) Find dx by using chain rule if f = , u=-1 , x=-1 u+1 B) Evaluate the following integral: S...

A: A) To find the derivative of the given function f=u-1u+12 with u=1x2-1

Q: (a.) the critical numbers of f (b.) all relative extrema of f (c.) the intervals on which f is incre...

A:

Q: х3(1 — х)8dx

A:

Q: 1.(Easy) In determining the integrating factor exp(S p(x) dx) for the first-order linear ODE y' + p(...

A: Given,            In determining the integrating factor exp∫pxdx for the first-order linear ODE.    ...

Q: Find the derivative of the function y = tan^-1 x/1-x + sec ^-1 sqrt x+1 %3D

A:

Q: For eccn of the functions below, calculate the in verse function : h-dre=(ワナ 2)9u)%3D33%-1 +5 る) hx)...

A:

Q: II. Find the derivative of the following functions. 1. f(x) = x3+x x4-x2+1

A:

Q: For j(x) = (2x² – 1) (-3x³ + 2x), find j'(0) by applying the product rule. %3D

A:

Q: = p 4. o pui

A:

Q: A. Find the following limits: 2t2+3t+1 iii. t+0 lim 2t-1

A:

Q: pouring

A: We will find the rate of change of height. 

Q: 4. Using the graphing strategy discussed in class, sketch a graph of the function 1 f (x) = (x – 4)/...

A: 4. Using the graphing strategy discussed in class, sketch a graph of the function f(x) = (x − 4) 9/5...

Q: dX; = X;(ydX, + tdt), d Хо 3D 1.

A:

Q: Write the first five terms of the sequence: (17 ln n +00 n=1 Determine whether the sequence converge...

A: The given sequence is 17ln(n)nn=1+∞. We have to check whether the sequence is converges or not. A re...

Q: Find the maximum or minimum value of the quadratic function g(x) = 2x² + 6x + 3.

A:

Q: dx X Jioin? x-9

A: ∫1x16ln2x-9dx

Q: 10. y'+y = 3x³ + x; y(-1) = 4 су 3 3х3 + х; у(-1) %3D4

A: