Consider the following differential equation. y" + 2y - 24y = x Proceed as in this example to find a particular solution y(x) of the given differential equation in the integral form y(x) = G(x, t)tt) dt. 10 (1-x)9 (1-)- Proceed as in this example to find the general solution of the given differential equation. Y(x) =

Q: -3 1 4 What is the transpose of the matrix 5 2-1

A: Transpose of a matrix can be found by interchanging the rows into columns or columns into rows.

Q: (x)dx = (Type an integer or a simplified fraction.) a

A:

Q: Consider the function f(x) = : x2. (a) Find the intercepts of the graph of f (if any). (b) Find the…

A:

Q: Use sigma notation to write the following Riemann sum. Then evaluate the Riemann sum using a…

A: Solve the following

Q: Evaluate the integral given. sec(2a)tan(2a)dx +C %3D

A: ∫ sec(x)tan(x) dx =sec(x)+C

Q: (a) Find the general solution of the differential equation dx = x – x2 dt (b) Solve the following…

A:

Q: x = y+ Vz? – y² O y = x cos(ln|æ|+ C) O y = = sin(ln|æ| + C) sin -In|피 3 C cos-" (2) – In|æ| =C

A:

Q: The following series is divergent: 3n 3n Зп — 6. - 3 — 2п | n=1 Select one: O True O False

A:

Q: Let i denote the square root of – 1. For the two complex numbers z = 3e and w = 6e'5 find z. w. Give…

A:

Q: Express the vector P, P2 in the form v = v,i+ v2j+ V3k if P, is the point (- 8, - 1,8) and P2 is the…

A:

Q: 4. S(x² – 1) Vx + 4 dx

A: Solving

Q: Given the ordered pair P, determine the requested sin, cos, or tan of angle a. P(5,5) tane = %3D -1…

A: Given query is to find the value of the indicated function.

Q: long will it take an investment to double in value if the interest rate is 4% compounded…

A: Given query is to find the timme in which investment gets double.

Q: Calculate the surface area of the portion of the cylinder X+y 9 that lies betweenz=3 and z=6. O A.…

A:

Q: The function f : R → R defined by f(x) = cos(x – –) is a. one-to-one and onto. b. onto but not…

A:

Q: S(x² – 1) Vx + 4 dx 4.

A: 4.∫x2-1x+4dx

Q: When solving the nonhomogeneous differential equation y" - 4y' + 4y = x by undetermined coefficients…

A: To solve the following problem

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A: Solution is here

Q: 3. Evaluate: lim -) x-0 (sinx

A:

Q: 3. Evaluate: lim -) X-0 sinx

A:

Q: Question 1 ( (a) Use the Second Derivative Test to find the local extreme values of the function…

A:

Q: Use sigma notation to write the following left Riemann sum. Then, evaluate the left Riemann sum…

A:

Q: Sè baucy) dy

A:

Q: 4. Evaluate the following integrals: (a) S (2x³ – x² + 3) dx - (b) S x*Vx5 – 1 dx S ds (c) S V2s+3

A:

Q: Find the domain and the vertical asymptotes, if any, of the following function x-9 x2+10x+21 ' a.…

A: Given

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A:

Q: Let i denote the square root of – 1. For the two complex numbers z = 3e# and w = 6e'† find z. w.…

A: We have to find the multiplication of complex numbers.

Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos² (a) COS sin (a)

A:

Q: 7² + sin(3) – Ve Vr2 – x-2 - 'ind the derivative of:

A: Given query is to find the derivative of the expression.

Q: A rotating light is located 19 feet from a wall. The light completes one rotation every 5 seconds.…

A:

Q: If 2 a, is convergent with positive terms n=1 is it true that sin (a,) is also n=1 convergent?…

A:

Q: For the points P1 (4,2,3) and P2(5,1,2), find the direction of P,P2 and the midpoint of line segment…

A: Given that coordinate of point P1 is (4,2,3) The coordinate of point P2 (5,1,2) We have to found the…

Q: -2 is a critical number of the function - Vir - f(x) = 2x x2. Select one: True False

A:

Q: Find the area under the curve y 3x3 over the interval 0, 2 > Next Question

A: Solve the following

Q: The function x2 f(x) 1 - x | has a local maximum when x = 2. Select one: True OFalse

A:

Q: The graphs of the first and second derivatives of a function y = f(x) are given below. According to…

A: The graph of the first and second derivative of the function y = fx is The statement is f is…

Q: Find the equations of the tangents to the curve x = 9t2 + 9, y = 6t3 + 6 that pass through the point…

A:

Q: Se*(4 + e*) dx Evaluate the integral of A (4 + e*)² + c B. (4 + e*)? +c (4 + e*)² + c (4 + e*)* + d…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3. Evaluate: lim X-0 \sinx 4. Using the binomial series, find the power series of f(x) =

A: We have to find the limit of a function and find the expansion of 1/x

Q: dy x2 + y = xe*. dx Find the integrating factor to the first order linear equation, В. In x С. х D.…

A:

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 63°C, it…

A:

Q: The demand function for a particular product is given by D(x) = V0.5x² – 2x + 110 dollars, where x…

A:

Q: Express the following sum.. using sigma notation. 1 d. 9 1 Σ 12 + + + 10 11 k= 1

A:

Q: 12. Find the inverse Laplace: Lª 1 |(s- 4)ª [* et А. e443 В. e44 e43 D. 6 C. E. None 24

A: Inverse Laplace transform shifting property:

Q: From the textbook: Let f be the function in the graph below. (1) Going from left to right, this…

A:

Q: What are the local extreme values of the function f(x) = x' – 3x + 2? a. None of these. O b. Local…

A:

Q: 6. S (1 + 3æ)*dx

A:

Q: O a. X=-9-10A, Y=- 7- 6A, Z= -6-3A O b. X=9+ 10A, Y= 7+ 62, Z= 6+3A P c. X=9-10A, Y= 7- 61, Z= 6-3A…

A: Topic:- geometry

Q: P= 8,6)

A: Given vector v=5i+3j+4k  The point p is (6,8,6) and we called P is Position vector.

Q: Find the center and the radius of the sphe- x2 +y? +z? + 6x – 4z = 0

A: