32. y""-2y" + 5y' y(0) = 4, -24e³x; y'(0) = −1, = y"(0) = -5

Q: Given that the Laplace transform of f(t) is s-3 s²2s +1 F(s) = = then the Laplace transform of…

A: Given that the Laplace transform of f(t) is  F(s)=s-3s2-2s+1 Then the Laplace transform of  f(t)e-2t…

Q: Show by example that these three statements are generally false:(a) A and AT have the same…

A: We know that, The transpose of a matrix is found by interchanging its rows into columns or columns…

Q: Express 3/2 (1 - e-¹)dt in terms of gamma function.

A:

Q: Problem 2. Consider the following two graphs: G₁ V₁=(a,b,c,d,e,f,g) E₁={{a,b),(a,d),(b,c}), (b,d),…

A: By the function f we convert all the edges of graph 1 in the new form of vi  So, new edges are…

Q: Could you please help me with this question?     Consider the following parametric equation. a.…

A:

Q: Suppose T is a transformation from R² to R². Find the matrix A that induces Tif Tis: a) rotation by…

A:

Q: Consider the surface S₁ with equation 2²-4 = 22. a) Sketch the graph of S₁ in R³. Indicate proper…

A:

Q: Find the determinant and inverse of the matrix A = 1000000000 2 0000 000 0 (0) 0 00 12300 1 2 3…

A:

Q: 9 Find the distance from the point (-7,-3,4) to the xy-plane.

A: Distance of a point (a,b,c) from the plane lx+my+nz=p is (la+mb+nc-p)/sqrt(l^2+m^2+n^2)

Q: p ∧ s → t p ∧ s Therefore, t by __

A:

Q: Given that x = log, 5 and y=log, 2, rewrite log, 60 in terms of x and y. supruss 1102 sdt aaw…

A:

Q: The goal of this exercise is to "solve" a cubic equation by intersecting conics, similarly to the…

A: As per the question we are given a cubic equation as : x3 + d = bx2 And we have to : Show that if…

Q: Suppose f(z) has the following properties: f(6) = 3 f(10) = 8 10 f(z) dz = 12 10 [" I f(z) dr = 10…

A:

Q: 3. d²x dx dt² +8+ 25x = 10u(t) dt

A:

Q: Describe each of the following subspaces as a fundamental subspace of some matrix, and then find an…

A: We know that fundamental subspace of a matrix A are:  Column space of A. Row space of A. Null space…

Q: 32 The inverse Laplace transform of s² + 16 is A sin(bt), where A and b are constants such that b>0…

A: We have given that F(s)=32s2+16 here we have to find Laplace inverse of F(s).

Q: f(x) = x³ – x² - 6x -

A: Sol:-  Before plotting , first we need some steps:- Domain of  x3-x2-6x :  Solution:  -∞ <x<∞…

Q: Yesterday’s temperature at t hours past midnight was f (t) degrees Fahrenheit. At noon the…

A: As per the policy We are solving only first question for you. If you want solution of second…

Q: In your last 20 basketball games, you attempted 90 free throws and made 18 of them. Express your…

A:

Q: A box has four red balls numbered 0 - 3 and six black balls numbered 4 - 9. Let A be the event that…

A:

Q: Consider differentiable functions a(t), B(1), a, B: [lo, l₁] → R, and set µ(t) = a(t)+iß(t). Explain…

A:

Q: 3 Use a Riemann sum to approximate fd. Let the number of subin- tervals be n = 4 and use the…

A:

Q: Find all a so that A = α 1 -1 1 2 1 -1 1 is positive definite. 4

A:

Q: Find real numbers a, b, and c so that the graph of the function y = ax² +bx+c contains the points…

A:

Q: Is it possible to determine a real solution for the expression below? Explain your reasoning.…

A:

Q: - 4x + 5y Find 6x + 4y R - 4x + 5y = 0, - 4x + 5y = 6, 6x + 4y = 1, 6x + 4y = 8. Round your answer…

A: We can find the integral.

Q: Ransford and Alda Mariano own a home recently appraised for $422,500. The balance on their existing…

A: Answer  80% of appraised value = 0.8 × $422,500 = $338,000

Q: uppose f(4) f'(4) g(4) 4 -7 g'(4) = -8 and that f'(x), g'(z) are continuous for all . (f(z)-4)² lim…

A: f(4)=4f'(4)=-1g(4)=-7g'(4)=-8 limx→4fx-42gx+72=?

Q: Which of the following transformations are linear? Select all of the linear transformations. There…

A:

Q: The following table shows the total sales, in thousands, since a new game was brought to market.…

A: The table shows that the total sales in thousands, since a new game was brought to market. Month…

Q: x f(x) -3 -2 0 -1 1 -12 0 1 54 2 WJ 0 18 0

A: x -3 -2 -1 0 1 2 3 fx 54 0 -12 0 18 24 0

Q: Prove each item (Item 3 & 4) of the following by constructing a proof by element arguments 3. (ROS)'…

A:

Q: Consider the surface S₁ with equation 2² -4 = 2z. a) Sketch the graph of S₁ in R³. Indicate proper…

A:

Q: e function f(t) is defined by t-4 0<t≤2 5 2 <t<3 =h f(t + 3) = f(t). aluate f(-1.4), f(0), f(4.9),…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: For each of the following three systems of equations: (a) Construct the associated augmented matrix…

A:

Q: Lo Jo (x) Jo (t- cos(r)

A:

Q: Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter your…

A: We will use newtons approximation to find zeros  of the function f(x)=6x-8+x2 which will ultimately…

Q: Suppose that at any given time t (in seconds), the current I (in amperes) in an alternating current…

A:

Q: Problem 3. A graph is a way of representing the relationships between elements in a set: an edge…

A: There are many definitions of graphs according to author.    I am assuming that, here we are…

Q: El find the orthogonal projection of x- > and Subspace of 1² Spanned by IR (a) find 2 2 1 the angle…

A:

Q: Problem 8. Let V, W be finite dimensional vector spaces over F, and let T € L(V, W) be surjective.…

A:

Q: Determines the characteristics of the illustrated function. Domain: Image Local minimum: Growth…

A:

Q: Find the derivative of the following function. x² +a x when a = 9, evaluate it for when x = 4.85.…

A:

Q: A shipment contains 13 igneous, 11 sedimentary, and 11 metamorphic rocks. If 6 rocks are selected at…

A:

Q: - y" - 2y' e* sin x =

A:

Q: Problem 2. [1 122 Let A = 1 2 1 2 3 4 5 6 Please give a 4 by 4 orthogonal matrix V = [V₁ V2 V3 V4]…

A:

Q: Question 2. Solve the differential equation (x + 1)y" + xy' - y = (x + 1)². Write your answer in…

A:

Q: Letf: R² → R be defined by f((x, y)) = -3x - 7y. Is f a linear transformation? a. f((x₁, y₁) + (x2,…

A:

Q: Question 2. Express the function f(t) = 0 6-t2 0 in terms of unit step functions and hence determine…

A:

Q: Graph r=2a sin (40)

A: