If y, and y, are linearly independent solutions of ty" + 2y' + te" y = 0 and if W(y1, y2)(1) = 2, find W(y1, y2)(4). Round your answer to two decimal places. W(y1. Y2)(4) =

Q: Find all inflection points of the function given, and then find the regions where the function is co...

A:

Q: Because of medical technology advances, the disability rates for people over 65 years old have been ...

A: Here, the given function is: R(t)=26.3e-0.011t...(1) which is disability rate in percentage at t is ...

Q: Question 1 Find the indefinite integral of F (1) = / te*dr. A 28 e to the power of 4 t squared end e...

A:

Q: 1. Find the directional derivative of f(x,y) = In(a2 + y²) at the point P(2,1) in the direction of t...

A:

Q: Find the area of the triangle with vertices P(1,5, –6), Q(0, 0,0) and R(2,4,1). NOTE: Enter the exac...

A:

Q: a. V3cosxcscx = 2cosx

A:

Q: A company has a total budget of $700,000 and spends this budget on raw materials and personnel. The ...

A:

Q: 2х dx dx 1. *) (x - 2)2(x + 2) 3. x(x2 + 1)2 2x? + 1 2. (x – 1)(x – 2)(x – 3) dx | |

A:

Q: Find the area of the region between the parabola y =64–x² and the x-axis. Round your answer to three...

A:

Q: 6. f(x) = Vx – 1

A: This question is based on solving 0/0 indeterminate form using L Hospital rule.

Q: 5x2 + 1 dx2

A:

Q: 1. f(x) = -2x – 1 %3D

A:

Q: S* (1– x)e* dx

A: To find out the integration. 

Q: " cos Inx dx Evaluate the Integral A - sin Inx + C B sin Inx + C cos Inx + C sin Inx D - + C

A:

Q: Please

A:

Q: 2-x'y'y'+ xy' =1

A: Let's find. 

Q: du/dx dx Let u = Begin by rewriting the integral into the following form. du = dx du x2 + 12x + 1 dx...

A:

Q: Evaluate the integral. (Use C for the constant of integration.)   integration 8 csc4(x) cot6(x) dx

A:

Q: (2z + 3, z 3 is continuous at z- 3. Justify the conclusion. (4) f(3)= (i) lim f(z)= 63 (ii) lim f(z...

A:

Q: Let c be a real number and v a vector. Which of the following represents the relation between the ma...

A:

Q: Complete the sentence the below. If the point (4, - 1) is a point on the graph of f then f(-)= 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:

Q: 1. If tan x = -3.5 then tan(-x) = %3D 2. If sin x = 0.8 then sin(-r) = 3. If cos 0.6 then cos( r) = ...

A: We know that  sin(-x) = -sinx cos(-x) = cosx tan(-x) = -tanx cot(-x) = -cotx sec(-x) = secx cosec(-x...

Q: 1a)Find the length of the curve: x=t^3,y=3t^2/2; 0 ≤ t ≤ 224 b) Find the length of the curve: x=t^3...

A: Given,  a) x=t3,y=3t2/2 b)x=t3,y=3t2/2.

Q: Solve the D.E. (x +3y )dx- 2xy dy = 0

A: Find your answer below 

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 10j as ...

A:

Q: If the Wronskian W of f and g is t'et, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary const...

A:

Q: Evaluate 区

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 4 cV16-x² 3. Evaluate the integral L-rz(4 –- x² – y²)dy dx by first converting it to | /16-x² polar ...

A:

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

A: This question is related to sequence and series, we will solve it using given information. 

Q: y³dy Let y = 2 sin 0 %3D 4- y2

A:

Q: Use the difference an+1 – an to show that the sequence | {n – gny+o0 - Sn=1 is strictly increasing o...

A:

Q: prove tañcy) dy

A:

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for th...

A:

Q: 2. Suppose that a model rocket blasts off, straight up, at time t = 0, with a vertical displacement ...

A: Note: As students mentioned for only 1st part so I solved 1st part.

Q: Evaluate the integral. dx 9, NOTE: Enter the exact answer.

A:

Q: Evaluate the following: 1. S"(1– x)e¬*dx

A:

Q: how do we identify the minimum and maximum value of the graph of a function at a given intetval?

A:

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

A: To find the Maclaurin polynomials of orders n=0, 1, 2, 3, and 4 and then to find the nth Maclaurin p...

Q: 22) In Problems 22 through 24, given an Implicit Equation 2x3+3y2= 6 sin y + 16 , find y'=, A) -2X/(...

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: A company has a total budget of $700,000 and spends this budget on raw materials and personnel. The ...

A: Since you have posted multiple questions i can do first question ( with all subparts)as per our comp...

Q: Select the basic integration formula you |(15cos(7x))esin(7) dx e du u du cos(u) du sin(u) du Identi...

A: here we use substitute method so  u = sin7x du/dx = 7cos7x dx = du/7cos7x so put this value in equat...

Q: Calculate the distance and midpoint of the line segment joining the each pair of points (a) (0, 1, ...

A:

Q: Which of the following is the general solution to the differential equation dx - (x – Jx² + y²)dy = ...

A:

Q: 2 5. f(x) = xỉ

A:

Q: b. 2 sin? x+3 sin x = -1

A:

Q: absolute values where appropriate. Use C for the constant of integration.) The integral of 3/(x-

A:

Q: Given the power series, (x +7)" determine if the convergence of the series at x = -9 is conditional ...

A: Here      an = (x+7)n2n n2-13⊙ Then putting x= -9 in an, we get:     an = (-9+7)n2n n2-13          =...

Q: Solve the following incqualities - 21 < 4 •

A: The given inequality is: 1x-2&lt;4

Q: dx 5. Half-Angle Substitution J 3+5cosx

A: