1. The Laplace transform of the function y(t) = t5 is a. 20/s5 b. 1/(s-5)6 c. 120/s6 2. The Laplace transform of the function y(t) = t4.etis a. 24/(s+7)5 3. The inverse Laplace transform of [ 7/(s²-49) ] is a. Cosh(7t) b. cosh(49t) c. sin(7t) d. 60/s4 b. t5/(s-4)7c. 24/(s-7)5 d. 24/(s-4)5 d. sinh(7t)

Q: d) Given a and r = -5, calculate S6. 2 e) Given tn = 3tn-1+2 and t4 = (-2), find ts.

A: Solution

Q: (1.) Sketch the solid S of integration of the given integral Q. Label its boundaries. a.) Refer to…

A:

Q: Evaluate the double integral that will solve for the area of the region bounded by y = cos(x) + 5, y…

A:

Q: Suppose the functions f, g, h, r and are defined as follows: 1 1(x) = 1093 / +10g, x log3 g(x) =…

A:

Q: A. Calculate the centroid coordinates of quarter circle (x² + y² = a²) in the first quadrant, use…

A:

Q: Example 10.21. Given y'= x(x² + y²) ex, y(0) = 1, find y at x = 0.1, 0.2 and 0.3 bv Taylor's series…

A:

Q: Prove 10^47+67 is not a prime(use Fermat's). Thank you :)

A:

Q: answer letter b Note: y(pi/2)=y'(pi/2)=y''(pi/2)=0

A:

Q: Let 1, y € R" be given. (a) If ||z||=|y|| = 1 and z-y = 1, show that z = y. (b) If ||z|| ≤ 1 and…

A: Cauchy Schwarz inequality (over the space Rn): For any two vectors x and y in Rn, x.y≤xy equality…

Q: Which of the following shows the correct substitution of the variable u into the integral S₁ x√3x -…

A:

Q: 1. Let z, y € R" be given. (a) If ||z|| = ||y|| = 1 and z-y = 1, show that z = y. (b) If ||z|| ≤ 1…

A:

Q: Find the curl of = pz²cos(p)a+zsin²(p)a₂ O None of the choices O2zsin (4)…

A:

Q: Example 9.14. Solve yy + (x + 2)y + xy + x² + 2x + 2 = 0.

A: Please find step by step solution below:

Q: 8) Find the Laurent series of f(z) = BERK on +34 d) NOTA + + + (2-1)(z-2) I if 1 < |z| <2 ******

A:

Q: s+10 (s²-s-2) B:1: Solve 1. L{t²cosat} 2.L-¹ { {}

A:

Q: The following graph is k-colourable(f), find the value of k?

A:

Q: Let D be the portion of z = 2z + 5y inside z2 + y² = 1, oriented up, and let F = (y, z, -z). Compute…

A: Solution :  Options ( 3 )  is correct

Q: Problem nas Find ypt y" - 4y +4y урт 9.5e²+ = +² +1

A:

Q: a X Q3. Find the edge cover and vertex cover in the graph above G.

A:

Q: Find a differential equation that corresponds to the given lirection field. Consider differential…

A: Solution :

Q: 3. Find the maximum and minimum values of |-| on |z| ≤ 1 (where a with lal < 1 is fixed) 1

A:

Q: Suppose that f and g are both continuous functions. Also f, ge [a, b] and b that f f = fg. Prove…

A:

Q: em of Let f: G→ H be a group homomorphism. Then, Im f The kernel of f, we write Ker f, is Ker f = {g…

A:

Q: Determine ¹ 4s²-5s +6 (s+1)(s² + 4)

A: To find the inverse Laplace transform of the below function. L−14s2−5s+6s+1s2+4

Q: Use separation of variables to find a product solution to the following: д н ди -u=1.k>0 дх2 дг

A:

Q: By using the method of least squares, find the best line through the points: (2,-3), (-2,0), (1,-1).…

A:

Q: 6. Check the convergence of the following series: (a) Σ (1+; )" 8 tan-¹n (b) 1+ n² 1/n (0) Σ…

A: For a convergent series, the general term always converges to zero as n approaches infinity. If the…

Q: The inverse Laplace transform of 7s s² + 36 where A and b are constants. Determine A and b. is A…

A:

Q: 2. A firm uses capital, K, and labor, L, to produce output P according to P = KaL, a, 3 are positive…

A:

Q: A transformation T: R² → R², T([x]-[]+[ 7[*]-[x]-[d] is applied to the graph of f. i. Find the value…

A: We have the transformation T:ℝ2→ℝ2,  Txy=xy+d0 and is applied to the graph of f. We are given the…

Q: 1.Tony is 6 years older than Jonathan. Six years ago, she was twice as old as he. How old is Tony?…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 1 8) Find the Laurent series of f(z) = (2-1)(z-2) *** *E*** HRE b) + +3+2+² +²²+22³ + *** **** 18 c)…

A:

Q: Find general solutions 17. y" - 4y = -12x² + 6x - 4;

A: According to our guidelines we are supposed to answer only one asked question.kindly repost other…

Q: 2°) Write the volume integral of the solid bounded by 2 = √√√ x² + y²² and Z=√√2-x²-y²², in a)…

A:

Q: (B) Give an example for a commutative ring with identity.

A:

Q: 7. Determine the period of each function: a) y sin- x 2r 7 b) y = cos 2(x-45°) c) y = cos(x+90°)…

A:

Q: 3. A loan of 7 quarterly payments of Php.8,300 is to be made, to pay for a loan at 10% compounded…

A:

Q: Use Simpson's Rule to evaluate the following. n = 10 3 1 dx 1+x² -3

A:

Q: Find the maximum and minimum values of z-a 1 - āz on z ≤ 1 (where a with |a| < 1 is fixed)

A: As per the question we are given a complex valued function : |(z-α)/(1-zα̅)| , |z| ≤ 1 , |α| &lt; 1…

Q: The task is to identify the solution of the given system linear Ordinary Differential Equations. Use…

A:

Q: Example 10.19. Apply Milne's method, to find a solution of the differential equation y=x-y² in the…

A: please comment if you need any clarification. If you find my answer useful please put thumbs. Thank…

Q: Solve the following system of nonlinear equations 2x₁x₂20 x₁² - 4x₂ - 4 = 0 Using the fixed-point…

A:

Q: b) The following graph is k-colourable(f), find the value of k?

A: To find- The following graph is k-colourable(f), find the value of k?   Definition Used-  A Graph G…

Q: 1. Solid S is bounded by the ff. surfaces. Sketch S and label its boundaries. x = y² + ²-4,…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Show that the inner product (,) on an inner product space X is a bounded sesquilinear form h. What…

A: Given that X is an inner product space with an inner product ·,· defined on it. We know that a map…

Q: • Create a symmetric equation of a line with the digits 6, 8 and 4. Does the point D (7,-1,8) lie on…

A:

Q: 2) Find where tan'z = Logit is analytic a) C\{Re(z)=0, Im(z) (-0,1]} b) C\{Re(z)=0, Im(z) (-00,1] U…

A:

Q: 10. 3y 2 M(1;1) 11. g =2ry+1;M(0;0) 12. rdy – xdx =ydx. x3 I

A:

Q: Express all answers as decimals rounded to 3 decimal places, if needed. Express percentages decimals…

A:

Q: The glee Club is planning to conduct a charity concert at the theatre hall. The theatre hall is…

A: