2 dy + x da The differential equation g3. - 5y = e" is: %3D O linear and second-order O non-linear and second-order non-linear and third-order O linear and third-order

Q: x2 – x – 6 lim 1+-3 x2 – 5x + 6

A: It is of 0/0 form ,we have to eliminate first its factor.

Q: dw 5. Ve200 -1 sece"

A: We have solve to evaluate the integral

Q: 1.) f(x) = (2x + 1)(3x – 2)

A:

Q: 81. Cooling liquid. A cup of hot coffee is placed on a coun- ter and allowed to cool. The temperatur...

A:

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region...

A: Topic = Volume

Q: if a 1 5+ 4- -2 -1 -- -5 -4 -3 4 -2 -3- -4 -5+

A:

Q: Find L(5 t2n+1 – 4)° } - 4)}

A:

Q: 4. (а) Find the general (implicit) solution to this differential equation. dy x – 5 (x – 1) dx y²(x ...

A:

Q: Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each ot...

A:

Q: The equation of a curve is y = 4Vx+ Vx dy (i) Obtain an expression for dr (ii) A point is moving alo...

A:

Q: Find L {(2 t" - 3) (t +2)} O 2(2n)! n! -- $2n+1 sn+1 O 2(2n)! s2n+1 n! sn+1 O 2(n²!) n²+1 n! sn+1 O ...

A: To find:- L{(2tn-3) (tn+2) }

Q: A spring is stretched 3 in. when an 8-lb weight is hung on it. The 8-lb weight is attached and pushe...

A:

Q: Show that (4, 5) is on the graph of f(x) = 2x + 1. Since f(4) = 5 the point (4, 5) is on f(x). %3D F...

A:

Q: tane cote +- = sin0 + cose %3D 9. Sece csce

A:

Q: Find the radius of convergence of the following power series. (Зх — 6)" - .6 n=1

A: The given power series is ∑n=1∞(3x-6)nn6

Q: Estimate f′(20)f′(20) where f(x)=x3+7x2−16x−10f(x)=x3+7x2−16x−10 to within one decimal place by usin...

A:

Q: Problem 1 Let A and B be two finite sets, with |A| = m and |B = n. How many distinct functions (mapp...

A: f:A→B where |A|=m, |B|=n

Q: 64 The partial fraction decomposition of x2 can be 4 f(x) written in the form of g(x) where x – 2 x ...

A:

Q: d'y Given the differential equation + y = e-6" sin(x) dx? Propose an appropriate particular solution...

A: follow the procedure given below.

Q: Find the exact length of the curve. y = x3/2, osxs 6 3

A:

Q: 9) If a cup of coffee has temperature 95° C in a room where the temperature is 20° C, then, accordin...

A: topic - definite integral

Q: The stopping distance of an automoble, on dry, level pavement, traveling at a speed v (In kilometers...

A: Consider the given table, Let, the linear regression model for Rv be, Rv=a+bv By using graphing uti...

Q: Find all vertical and horizontal asymptotes. 2x+5 11. f (x) = =- x-1 x2 12. f (x) = X-3 3x2-x+2 13. ...

A:

Q: A particle starts at the origin with initial velocity i – j+ 3k. Its acceleration is d(t) = 6t i + 1...

A:

Q: 11). If dy = (2x – 3) dx and y = 2 when x = 3, find the value of y when x = 5.

A: As per the company guidelines we are supposed to answer only the first question.Kindly repost the ot...

Q: Given the following graph, what is the corresponding function (t > 0)?

A: From the given graph ,what is corresponding function 

Q: Which of the following is a possible solution to y" + 16y = 0 O y = tan(4x) y = cos(2æ) O y = sin x+...

A: SOLUTION IS GIVEN BELOW

Q: 3) Find the exact length of the curve y = x² – In x for 1< x < 2. 1„2

A:

Q: L{(1+t")e }=

A:

Q: a. Set up an integral for the area of the surface generated by revolving the given curve about the i...

A: Given that, The function is following, xy = 8 we have to find the area between 5 ≤y≤10, y-axis and t...

Q: csc (In æ) cot(ln æ) csc³ dæ) æ[1+csc®(ln æ)]³ 5

A:

Q: reproends the volume of the solid of revolution obtained byrotating the region 2)Set up but do notev...

A:

Q: Two vehicles start out traveling side by side along a straight road. Their position functions, shown...

A:

Q: Differentiate each function with respect to x. 4. y = (-5x^3- 4)^3 -2)^5 5. y = ((-5x^3 -2)^4 -3)^3

A: Since we are given with the multiple number of question and answered according to the guideline.

Q: about the X-axis the region bounded Find the volume of the Solid by rotating region boundod by the c...

A:

Q: Find the general solution: (x – y) dx + xydy = 0 - x3 +с — 0 2x2 O none of the choices given In x + ...

A:

Q: Find the angle e between the vectors in radians and in degrees. u = 6i + 3j + k v = 3i – 6j

A:

Q: Given the following graph, what is the corresponding function (t 0)? 1 1 O y =t – tu (t – 1) + 2 u (...

A:

Q: 3 dy 1+a da The differential equation dx? O second order and ordinary O linear and ordinary O non-li...

A:

Q: lim (4.x – 3) = 9

A: The given limit,      limx→34x-3=9

Q: 1) find the derivative of y = 4x2 – 3x – 2 | | then evaluate f'(x+3)

A:

Q: Find L{(1 – t) (3 + 2 sin 5t)} . 3 2s 10s - 82+25 (s2 –25)² - 10 20s 을 + - - s2+25 (s² +25)² 3 3 10 ...

A:

Q: Explain, with an example, the difference between a permutation and a combination. (Show your work fo...

A: Permutation:  Permutation is a mathematical techniques which is used to determine the number of arra...

Q: aph. f(x) = 흑x 8 %3D 10 9 8 6 4 3 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 -1 3 4 5 6 9 2 7 10 -2 No solutio...

A: Given query is to graph the function using graphing tool.

Q: Evaluate the indefinite integral. -1 -dx x2 + 12x + 36 Answer:

A:

Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t?k, u(t) = 5ti + t³j ...

A: Given: - The function is, r(t)=ti+5tj+t2ku(t)=5ti+t2j+t3k To find: - The derivative of (2t)u(t),

Q: Suppose a metal ball is heated in an oven at 195 ° C for a very long time. After, it was removed and...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: Find tue denivative of tue function f(x) = arc sec( 8x)

A: here we will find the derivative of arcsec(8x),

Q: d'y Given the differential equation, dx? dy 2y = e2" sin(2x) cos(2x), the propsec - dæ particular so...

A: