III. Find the particular solution of each of the following. dx 1. dy 2x - 7y*; when y=1,x=-1

Q: A. F(x) = (1+æ) sin(x)+ B. F(x) = (1+ sin(x))(1+ c. F(x) = (1+ x)(1+ sin( %3D %3D %3D

A:

Q: Assume that the sequence shown below converges and find its limit. Võ, J8 + V5, 8+ /8+ võ 8+ /8+ /8+...

A:

Q: Find the derivative of y with respect to t.   y=t(ln2t)^(2)

A:

Q: a. What is the horizontal distance between anchor 1 and the base of the antenna? feet Preview b. Wha...

A: For solving this, 1st change radian to degree. Then apply trigonometric relation. 

Q: Find the maxamin s in flectlon Points and the in ter Vals on which the function inerease,decrease co...

A: follow the solution which is mentioned in step 2.

Q: A large hotel chain needs to apportion 30 new surfboards for its visitors to rent among three hotels...

A: Given:   Total surfboards = 30 The distribution of surfboards is according to the number of rooms i...

Q: Use the Laplace transform to solve the initial value problem below: b) y" + 3y' + 2 y = f (t) Where ...

A:

Q: Obtain the general and particular solution 1. 2ydx = 3xdy, when x= 2, y = 1.

A: The given differential equation,1. 2ydx=3xdy, when x=2, y=1 Note:     Multiple questions are given, ...

Q: Find the radius of convergence and the interval of convergence. k +8 Radius of convergence: Interval...

A:

Q: Use L'Hopital's Rule to evaluate the exact value of lim(x² – 2x+1)*-1.

A:

Q: Write the letter of your answer on the space provided before the number. 1. It is well-defined colle...

A:

Q: Solve the inequation 1 1 5 and enter your solution set in the answer box below as an interval. For t...

A: 1/(x-6) >= 1/5 solve this inequality. 

Q: Solve the given equation. (Enter your ans 2 cos?(0) – cos(0) – 1 = 0

A:

Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1 1) This series can b...

A:

Q: JA 1 J 40. f(x) x'+3x + 7

A: Given query is to find the interval where function is increasing and decreasing.

Q: Find the exact value of the trigonometric function. (If an answer is undefined, enter UNDEFINED.) ta...

A:

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

A: Let's find. 

Q: Find all solutions to the equation |5-3x| -2 +x = 2x + 5

A:

Q: XP If x=Y Vi-y!.find d

A: x =y1-y2 dy/dx = ? now derivate with x dx/dx = (dy/dx)1-y2 - (2y2/21-y2)(dy/dx) 1 = (dy/dx)(1-y2 - 2...

Q: The graph of one complete period of a sine curve is given. y 9- 3 A -9 (a) Find the amplitude, perio...

A:

Q: Assume y(x) eaa cosBx is one of the solutions of the DE y(3) – 3y" + 7y' – 5y = 0. - Then α β (A) 3 ...

A: The given question can be solved as shown in step2.

Q: 4 + sin(n) n2 00

A: The given series,         ∑n=1∞4+sin(n)n2

Q: 13. The population of a northern Michigan town was 4,500 people in 2010 and 7,200 people in 2015. a)...

A: Given: Population in 2010 = 4500 and Population in 2015 = 7200 (a) Write a function of the form P(t)...

Q: y – y = e3t y(0) = 1

A:

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

A: The given sequence,      17, 179, 1792, 1793,......

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = x0 and then find the nth Taylo...

A:

Q: Find the in tervals on which f are: (il In creassing and decreasing Con cave uP and con cave down an...

A: Here, the given function is: y=sin22x, [0,π]

Q: Find the derivative of the function. f(t) = 8r2/3 - 4t/3 + 8 f (t)=

A:

Q: A. Find the derivatives of the following functions: 1. f(x) = (-x - 5)* 2. f(x) = (-x² - 4)-2

A:

Q: Find the in ter vals on which f ( Increasing and dec reashng iU concareup and concave down are ? and...

A: Given: y=x2-5x+6 To Find:  To find the intervals on which the function is i Increasing and decreasin...

Q: dy/dx = 8y-1 a, Solve with separation of variables method b, Solve by integrating factor method c...

A: topic -  differential equation

Q: Write the first five terms of the sequence, give the exact answer: +00 In +1Sm-1 Determine whether t...

A:

Q: The graph below shows the percentage of the parent atoms left vs. the number of half lives that have...

A:

Q: 10. Given vectors ū=[-3,2,–6]and v=[5,0,8], find

A:

Q: Find the derivative of the function at Po in the direction of u. x- 5y g(x,y) = Ро(1, - 1), и%3 3і +...

A: To find the derivative of the function  g(x,y)=x-5y5xy+7 at P0(1,-1)in the direction of u=3i+4j=<...

Q: At noon, ship A is 140 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing no...

A:

Q: create a graph with labels of a function that  satisfies:  have one point where f(x)=-3, at least o...

A: Question- create a graph with labels of a function that satisfies:    have one point where f(x)=-3, ...

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. cos(n...

A: Given query is to find series converges or diverges.

Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function ...

A:

Q: ,2 30. lim x In x

A: Topic = Limits

Q: Obtain the general and particular solution 3. xcos²ydx + tanydy = 0

A:

Q: 7. The terminal side of an angle in standard position passes through the point (3, 4).  What is the ...

A:

Q: derivative of y= sin (arcsec(lnx))

A:

Q: f''(x) = 2x + 2 and f'( – 2) = 2 and f(– 2) = 3. Find f'(x) = and find f(2)

A:

Q: Test the series for convergence or divergence using the Alternating Series Test. E(-1)"- + 5 n=1 Ide...

A:

Q: dy Find by implicit differentiation and evaluate it at the given point. tan (3x + 8y) = x, (0,0). dy...

A: Differentiate the equation with respect to x .

Q: Y and 2 Y if x dx? 七 and yo

A:

Q: The Differentiation to be made must be based on the following topics. - Exponential Function Give 3...

A:

Q: Determine whether the series is convegent or divergent. If it is Convergent, find its Sum, 8) nニ2

A:

Q: The angle of rotation is 18.485 of the conic section with equation Ax-Bxy +Cy 4, if A- C- 20 and B+ ...

A: Angel of rotation