eries 1)" 2 + 5 rmine if the resulting series of constant terms wh ely convergent, conditionally convergent, or diver the interval of convorgence of the power sorios

Q: ´ax²-3 -, x > 1 х-1 Value of a and b that will make f (x) = continuous everywhere are .. (bx +2,x <…

A: To find the values of a and b that will make the function continuous everywhere.

Q: Are the lines x = 11–10t, y = 10–5t, z = 4–0 O No O Yes

A: Given: x=11-10t,y=10-5t,z=4-6tx=5-11t,y=5-t,z=9+8t

Q: 2n + 1 n=1

A: We have to check sequence convergence.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: etermine if the given is convergent c sin(2 tan-1n – T) Σ (2 tan-1n – Tt) n=1

A:

Q: 2. Use integration by parts to evaluate the following. (a) S x tan-x dx

A: Given

Q: VIII. Use the 3rd Degree Maclaurin polynomial for g(x) = x COS to approximate the value of 0.2…

A: Third degree Maclaurin polynomial of a function f(x) is given by,…

Q: 2. Use integration by parts to evaluate the following. (a) Sx tan- x dx

A: LetI=∫xtan-1xdxApply integration by…

Q: V9 – 4x2 Evaluate: A f (x) = V9 – 4x2 + 2 sin () + C V9 – 4x2 – 2x sin- () + C B 6/ | | f (x) = f…

A: For the solution follow the next step.

Q: The tangent line equation of x++y“=32 at point (2,-2) is... Persamaan garis singgung kurva x++y*=32…

A:

Q: Graph the sinusoidal function using key points. 41) y = 1 + cos x 2- 1 -2n TC -1- -27 42) y = 4 sin…

A: Let's find.

Q: +0 (-1)m cos(b) = S-1)" -b2m (2m)! for all be R m=0 Given the integral of J cos² x dx, express it as…

A:

Q: The task is to determine and sketch the domain of the function In (b – a? + 4) g(a, b) = V36 — 4а2 —…

A: We have to determine and sketch the domain of the function.

Q: The round off errors when measuring the distance that a long jumper has jumped is uniformly…

A:

Q: 570 8. The demand function of an electronics company’s car stereo is p(x) = 2х +7 Find the consumer…

A:

Q: Find the vector component of v = (4, – 1, 7) along b = (2, 4, –4) and the vector component of v…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Let graph (x) as below: -6 Solution of lim f(x)is.... x→0* O -2 O 3 O -3 O 2

A: Consider the graph of f(x)

Q: | #(9 – In² x)5/2 dx I. Evaluate the following integrals. 1 1. -d.x x(9 – In? x)5/2

A:

Q: A. LIMITS Limr - 25 1.) lim VE – 2 2.):-4t-4 x-5 x-5

A: Here we have to find the limits.

Q: Write the integral that would be used to find the volume of the solid generated when the region…

A: Given line 2x+y=6, That is y=-2x+6. x -intercept of line 3 y - intercept of line is 6 We know that…

Q: Find the general solution of the given system. 12 -13 X' = 13 -12 X(t) =

A: We have to find general solution.

Q: Given cos(x) = (-1)" n=0 (2n)! -x2n for all x ER, Express the integral cos x dx as a power series.

A:

Q: I. Evaluate the following integrals. 1 1. dx J x(9 – In² x)5/2°

A:

Q: n(x – 2)" 3" (2n – 1)3 - Consider the power series n=1 a. Show that the power series converges when…

A: We have to check the given series is convergent for x=5

Q: I. Evaluate the following integrals. 1. / 20- dx 2 x)5/2" x(9 – In².

A:

Q: Find the sum of the convergent series tan - ( m til tan M=1

A: This is a telescoping series.  Whose sum is  2/π

Q: x- y' + 3, x - 0, y=-2, y 1 Find the volume of the solid that results when the region enclosed by…

A: Point of intersection:x=y2+3x=0-2≤y≤1Volume of solid of revolution:V=∫cdA(y) dyA(y)=π[outer…

Q: A rectangular poster is to contain 338 square centimeters of print. The margins at the top and…

A: Here we have to use the concept of derivatives.

Q: Find the derivative. f(x) = 2^x {ln[cot(x)]}^2

A: f(x) = 2x*(ln(cotx))2 here we use chain rule  d2x/dx = 2xln(2) d(u*v)/dx = vdu/dx +udv/dx…

Q: Consider the function f(x) 5x + 1 (a) Find the Maclaurin series of the function f(x), stating your…

A: Let's find.

Q: 570 8. The demand function of an electronics company's car stereo is p(x) Find the 2х +7 consumer…

A:

Q: f(x) = x²+2x+1 g(x)= x+3 Set up the integral to find the area between the two curves. 1 -3 -2 -1

A: We have to find area bounded by the given curve.

Q: 1. Evaluate the integral. Shade the region whose net area you have found. Ax) a). 4 b). (x² – 2x –…

A:

Q: Evaluate: x2 1. dx (x²–25)7 5

A: LetI=∫x2x2-2552dxI=∫1x2-2552x2dxApply integration by…

Q: Find the derivative. f(x) = 2^x {ln[cot(x)]}^2

A:

Q: The temperature (in degree Celsius) at a point (x, y) on a metal plate is given by a function T(x,…

A: T=Tx-yTyTo Find:a. Suppose T(4, 6)=320C and Tx(4, 6)=20C. Use the linearization of T at (4, 6)  to…

Q: Find Duf at P. f (x, y) = 3(4 +xy)2; P(4,3); u = 1 i+ j NOTE: Enter the exact answer. Duf

A:

Q: dx Evaluate the integral Jo (x² + 1)²

A:

Q: If xy? + yx2 - 2= 0, then dy/ dx =.... Jika xy2 + yx2 - 2= 0, maka dy/ dx =.... 1. О…

A:

Q: { II. Consider the sequence í n+ 2)! J n=1 a.) Show that the given sequence is monotone. b.) Use the…

A: Here, the given sequence is: πn(n+2)!n=1∞ Let, an=πn(n+2)!

Q: To test the series - 4n e for convergence, you can use the Integral Test. (This is also a geometric…

A:

Q: The location of a point on the Cartesian coordinate system (x,y,z) is (4,5,6). Using the location in…

A:

Q: Given the integral of S cos² x dx,

A: O integrate the given function.

Q: If substitution technique is used to solve the integral [(12.x+3x* )(10x² +x³ – 2)° dx then the…

A:

Q: Q2) Solve the D.E xdy + (2y-x*+ 3x)dx 0

A:

Q: 1 Given that 1 1 with > x" with convergence in (-1, 1), find the power series for - r. n=0 center 3.…

A:

Q: 3- Vn 3 n=1

A: Convergent

Q: Given a series tan '(n) 1+n? n=1 a. Show that given series satisfies the conditions for integral…

A: Given a series ∑n=1∞tan-1n1+n2a To show that the given series satisfies the conditions for integral…

Q: I. Evaluate the following integrals. •ln 2 #3. e2" sec-(e")dx

A:

Q: - If y = u – 4u and u = = 3x + r, then dy с. dr 1 dy а. dx 12x3 + 1 12x3 + 1 3u? 4 dy (3u² – 4)(12r³…

A: