2. Solve the equation: y" – y " -2y' = 0 O y = cje* + c2 + cze2* O y = cje* + c2e* + c3e2*

Q: If a rocket travels according to the function s = 5t3 after takeoff (where s is in %3D meters), then…

A: Velocity is obtained by differentiating S

Q: (-1)" Vn

A:

Q: Find the enclosed area by the curve with equation f (x) = x² – 4 and g (x) = 8 – 2x2 40 35 36 32

A: To find the enclosed area between given two curves.

Q: What is the derivative of x sin(x) at the point (6,5)? 2 O 1 O-1 O None of the above

A:

Q: Evaluate the following limits: x² - lim x→1 x-1 a) х-2 b) lim x→2 2- 16–x 2х -1 c) lim x→* x² +3x+5

A: a) limx→1x2-1x-1b) limx→2x-22-6-xc) limx→∞2x-1x2+3x+5

Q: Problem set 1 (Plane Figures) Solve the problems below using the following steps; i.) Sketch the…

A:

Q: 6. A particular leaf is comprised of 80 thousand cells. As the leaf grows, the number of cells grows…

A:

Q: Find the general solution of cos x dy + (y sin x – 1) dx = 0

A:

Q: 7 What is the exact value of sin if sin() = 5, where <v<n? 10 7/7 B 10 10 7/2 10

A: Given that,     sinv=725, where π2&lt;v&lt;π

Q: 19. For the following function f (x) 3x-4 %3D find any x-intercepts, y-intercepts, and equations of…

A:

Q: Find the volume generated by revolving the area bounded by the parabolic arc Vx + Jy = Va and the…

A: Given problem:- Find the volume generated by revolving the area bounded by the parabolic arc √x + √y…

Q: 1+sin (n) 2. Determine whether the series is convergent explain why. Ln=1

A: We have to test the series

Q: Evaluate the following integral: where Q is the region limited by: Q ={F (x,Y, z): 2<x= 3,0 <y<1, -…

A:

Q: Evaluate the given integrals. 1. cos 2x dx

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Find the dy/dx: Given y = 3x +2x-1

A: solution:-y=f(x)=3x2+2x-1f(x+h)=3(x+h)2+2(x+h)-1             =3x2+2xh+h2+2(x+h)-1…

Q: -4x Calculate the following integral Je dæ by using a substitution O - 0.25e^(-4x) + C O 0.25…

A: ∫ e-4xdx

Q: Which of the following is the expanded form of E (-1)*(k+ 1)2? k=1 A -1+4-9+ 16 – 25 B -4+9- 16 +…

A:

Q: Evaluate the limit, using L'Hôpital's Rule If necessary. (If you need to use or-w, enter INFINIT x -…

A: we have to find the limit

Q: dy – e3x+2y . Find the general solution of dx

A:

Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx Vy) + log3(x – y)" Do as indicated. 1.…

A:

Q: 1. Raul has a wall 4 units long and 2 units wide in the Cartesian plane centered on the origin. On…

A:

Q: Find the dy/dx: Given e(x²-1) y =

A: Solution is done in step 2

Q: 39.54 divided by 3

A:

Q: Converting 49T radians to degrees will correspond to which value? (A -1746° -1674° -1764° -1476°

A: topic - radian to degree conversion

Q: 1. Find the area bounded by the curves y?=2ax, y²=4ax-a? 2. By integration, show that the area of a…

A: As you have asked multiple questions so I have answered first question as per the guidelines

Q: Use calculus to sketch the graph of the given function. (c) f(x) = 3 – (x +1)³ |

A: The given function,     fx=3-x+13

Q: 81. Area Find the area between the graph of y = sin x and the line segment joining the points (0, 0)…

A:

Q: 10. Particular solution of y" – 64y = 16, when x = 0, y = 1, y' = 0

A:

Q: Activity 2 Read and analyze the problems carefully and do as required. 1. Starting from the same…

A: dr/dt=60 cm/s And dn/dt=80 cm/s.

Q: ri rV1-x² dy dx -1 Jo

A:

Q: Solve each of the following problems completely. Draw the complete figures for each question.

A:

Q: 2. A ladder 20 meters long leans against a wall. If the bottom of the ladder is being pushed towards…

A:

Q: 2. Solve: 5 In(2x – 3) = 10 algebraically. First find the exact answer (no decimals or rounding,…

A: We have to find the exact answer and decimal approximation of given equation

Q: r(t) = (cos t)i + ( sin t)j + ( sin 6t)k, t, == (Type an exact answer, using radicals as needed..)…

A:

Q: Evaluate the definite integral. es dx x/ln x v 5 6568542194924

A:

Q: Find the average value of æ on the interval 0, 4| O 16 O 64

A:

Q: y*_ 4g³+4y° ydy 7.

A:

Q: x(x^2+1)y'+2y=(x^2+1)^3

A:

Q: Find all solutions to the equation: [cos(x) + 1][2cos(x)– /3]=0. Bx equals fraction numerator 3…

A: Here, the given equation is: [cos(x)+1][2cos(x)-3]=0⇒cos(x)+1=0 or 2cos(x)-3=0⇒cos(x)=-1 ot…

Q: Use the specified substitution to find or evaluate the Integral. 3. dx Vx(1 + x) = Vx

A:

Q: What is the exact value of tan if sin(v) = -, where cot(v) >0? 1 A 2 1 B -2 D 3

A:

Q: Find the 23rd derivative of y = -sinx Select one:

A: We have to find 23rd derivatives of y=-sinx

Q: Find dy/dx by Implicit differentiation. x = 7 In(y-24), (0, 5) dy %3D dx Find the slope of the graph…

A:

Q: What is the derivative of 1+x3 at the point (1, )? O 1/4 O- 1/4 O 1

A:

Q: S3x*(3x5 - 5) dx 11.What is the inner/main function ? 12. What is the derivative of the inner/main…

A:

Q: rV1-y² (x² + y³) dy dx -1 J-V1-y

A:

Q: sfcontucus on the dosed nterval (4, s O wes ONe at dfferentable en the open interval (-4, 5), fnd ).…

A: Topic:- calculus  Note:- as per our guideline if more than three subparts posted than only first…

Q: integration by parts

A: Integration by parts (3). ∫sinx lncosx dx

Q: In point P(-6,-8,8), express that vector that extends from P to Q(8, 6, -1) in: a. rectangular…

A: