Find the length of the curve for the following parametric equations for 6 < t < 11. Find its exact value, no decimals. | x(t) = et – 4t | y(t) = 8et/2 Length =

Q: On the interval -2<x<-1/2, the graph of the curve f (x) = 2x° +3x2 - 12x - 7 is: %3D Support answer ...

A:

Q: 1. If x - y = 25, then y" = c.) d.) - a.) b.) 2. If y = cos(3x+1), find y a.) 3 sin(3x+1) b.) -3 sin...

A: Authoring guideline: As per the authoring guidelines, we can solve only the first three parts. Repos...

Q: The value(s) ofp for which the series E-1 is (1+n*)-P convergent using the integral test: A) p2 1. B...

A:

Q: 2. (x +1)y'+y = x² – 1 %3D -

A: Topic = Differential equation

Q: B= 4 7 8. A= 2. Find 1-Matrix C. 3B 2- Matrix D - AB inNN

A: Given A=352252 and B=204768C=3B=3*204768               C=[6012211824]

Q: (2x + dx + 4x*) (x +4x5 Using u-substitution and transformation of the integrand, then the power for...

A:

Q: Write the first five terms of the sequence: {13a"} ´ 13 In n ] +00 n n=1 Determine whether the seque...

A: {13ln(n)n}The nth term of the sequence isan=13lnnna1=13ln(1)1=0a2=13ln(2)2a3=13ln(3)3a4=13ln(4)4a5=1...

Q: Find f (x) so that when u = f(x) the integral J tan(f(x) 1+ In x dx can be rewritten as cot u du. %3...

A: ∫1+ln(x)tan(f(x))dxlet u=f(x)=xln(x)⇒u=xln(x)differentiate on both sidesdu=(1+ln(x))dx

Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

A: Given series  ∑k=1∞5kk!

Q: 4. Fond theequation ofthe tangent line to the graph of the Function FCx)=R-JX at the point (1,0).

A:

Q: For the following primitives, identify the number of essential constants.(x and y are the variables)...

A:

Q: Q1: Find the slope-intercept forms of the equations of the lines that pass through the point (3, -4)...

A:

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A:

Q: Use integrating factors to solve (x² + y² + x)dx + xydy = 0. %3D

A:

Q: Calculate the real values of x and y such that (x+y)³ is bigger than 8

A: Given: - The expression (x+y)3 is bigger than 8. To calculate: - The real values of x and y.

Q: If cotx 12 find the other trigonometric %3D functions

A:

Q: Consider the following functlon. f(x) = 4x arctan x (a) Find the critical numbers of f. (Enter your ...

A: Given : f(x) = 4x arctan x So, f'(x) = 4 [ x arctan x ]' Apply Product Rule : [u(x).v(x)]' = u(x).v'...

Q: Using u-substitution, the integral f(x)dx reduces to a new integral f g(u)du. If g(u) : u+1 evaluate...

A: ∫f(x)dx = x + ln(x-1) +c we have to find f(x) so we have to derivate the ∫f(x)dx so f(x) = 1 + 1/(x-...

Q: Evaluate f-4*3 dx In4 b,- -3in4 +C C. In 64 d. none of the above Evaluate f4x cosx dx a. sin x + C b...

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other...

Q: Prove that the given equation is a solution to the given DE: 1. = C,e3* + C2e2x + C3e* ; y" – 6y" + ...

A: As you have asked for the solution of Question 3-5 only. So I am solving those only. Hope it helps y...

Q: Write the first five terms of the sequence: +oo (11 ln n n n=1 Determine whether the sequence conver...

A:

Q: Given the following series (-9)" I. E-1(VZ – 1)" II. En-1n10"+1 5n (-1)" En-1 ninn -2n IV. En III.

A:

Q: Solve the system of linear equations given below. -11х1 + 13х2 — 15хз + 25х4 %3D 101 -19x1 + 33x2 + ...

A: Here is the solution

Q: Use the following graph and write the shaded area as integrals. A(-1,3) D(2,1) B(0,0) y= h(z) y = S(...

A:

Q: Evaluate the (-5z"+6z°–18 dr -3z2 O a. 글2-2z +21nr-을 +2 In |z-3| +c O b. + 2z + 2lnz -2In a 3 + e O ...

A: we have to solve the integral.

Q: Find the equation of the series below. y=1+eax+eax2+eax3....

A: Question- Find the equation of the series below.   y=1+ ea x + eax2 +......

Q: Use sigma notation to write the Maclaurin series for the function 5 In(1+x) Σ

A: To find: The Maclaurin series of the function f(x)=5ln(1+x). Concept used: The Maclaurin series is f...

Q: Consider dx and using u-substitution in rewriting the integrand as a function of u and du . x(1+vx) ...

A:

Q: 2 3 B={ A= 3 Find: A+B .B+A .A-

A:

Q: Solve the following differential equation (1+x)y' – y=0 Select one: O a. Inlyl=In|1-2xl)+c O b. Inly...

A:

Q: Consider S dx and using u-substitution in rewriting the integrand as a function of u and du. Determi...

A: topic - indefinite integral

Q: The region enclosed by the curve y = sech x, the x-axis, and the lines x= +1In /3 is revolved about ...

A:

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A:

Q: Solve the following initial value problem for y as a function of x. dy x = /x? - 16, 3x dx x24, y(4)...

A:

Q: Factor out the GCF in the following expressions. 1. 2x - 8 6. Зx? - 9х 7. 5x + 3x 8. 12x - 8

A: according to our guidelines we can answer only three subparts and rest can be reposted

Q: Ifu = f(x), then CSCX Compute / 2). 3m dx = sin x- cosx 1. 2.

A:

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. k Σ 2ln k k=2 ...

A: We know about conditionally convergent when series absolutely divergent.

Q: Given: S 5x? cos 3x³dx. If u = 3x³, then the resulting integral is f f(u)du. Find f ().

A:

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

A: Let length of one piece be x, then the length of the other piece will be 48−x.

Q: The manager of a large apartment complex knows from experience that 120 units will be occupied if th...

A:

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

A: As we know that the nth order Taylor's polynomials at x=x0 is given by; pn=fx0+x-x011!f'x0+x-x022!f'...

Q: Determine the area and circumference of the following circles. 17. 18. 19. 5 in 5 in 28 cm

A: Area and circumference of a circle

Q: Kindly solve with complete solution DETERMINE IF THE FOLLOWING FUNCTION IS CONTINUOUS AT THE GIVEN ...

A:

Q: if 4x1

A: Given problem:-

Q: If u = f(x), then S k dx = +C for some constant k. Compute kf(1). %3D x*+2x2+1 x2+1 4 -1

A: u=f(x)f(x)=xx2+2I=∫ xx4+2x2+1 dxI=∫ x dx(x2+1)2u=x2+1du = 2x dxx dx =du2

Q: Find the differential equation whose solution is given by: y^2=4ax

A: To find the differential equation for               y2 = 4ax differentiate this equation with respec...

Q: Using the partial fractions technique, the function f(x) = 37x+82 can be written as a sum of partial...

A: ∫37x+82x2+2x-24 dxConsider 37x+82x2+2x-2437x+82x2+2x-24=37x+82(x-4)(x+6)37x+82(x-4)(x+6)=Ax-4+Bx+637...

Q: dy dr + y = x

A: We are asked to find the degree of the differential equation.

Q: Solve the initial value problem. dy + 5xy = 8x, y(0) = - 6 dx y =

A: topic - differential equations

Q: x² + y? = r2 O y = - y' = - y

A: topic - differential equation