Solve using Laplace transform technique y"+ 4y = 9t, y(0) = 0, y(0) = 7 %3!

Q: Assume that the profit generated by a product is given by P(x)= 4/x, where x is the number of units…

A: Given that  Assume that the profit generated by a product is given by p(x) =4sqrt(x)  To find How…

Q: Let F(x) = f(x) + g(x)e* + h(x)e2x+ C be the antiderivative of G(x) = (x + e*)“, Determine the value…

A: The given problem is to determine the value of f(x)+g(x)+h(x) for x=1.69 where F(x) =…

Q: CustomerT batslgmos dmn svig ai a W Y Z. done 10 2 8 on 6. 4 12 8. 14 10 8 2 D 4 14 10 8. Тaxi

A: Hungarian  Method-2 :-

Q: latiolis • find general solutions; • solve the initial value problem with initial condition y(0) =…

A:

Q: Tx/2+sin(ix) f(x) = V2r then = (x).

A:

Q: 2. Given Ü = 7î – ĵ + k and W = -2î – 5ĵ + 6k , compute a) Proj w V and b) Proj y W

A: Ya

Q: f(t) = sin? 4t + cos? 4t 4+s А. s2+16 C. - С. s2+32 В. s(s?+16) D. s2 +16

A:

Q: what Is the conjugate of Js -J2i ? a. Jo -Joi d. -i b.Ja -ぶ

A:

Q: ndwritten please Rew

A: Introduction: A Boundary price drawback may be a system of normal differential equations with…

Q: 12. The graph of f is shown below on the xy-plane. Explain why y = 0.8(x – 1) + 0.4(x – 1)² + 0.1(x…

A:

Q: 5. (Ci | Show that L{e"t"} = n! in two ways: (s- a)n+1 (a) Use the translation property for F(s).…

A:

Q: Problem 7. Let f : N→ N be the function such that f(n) = 1 if n is a perfect cube, and f(n) = 0…

A:

Q: A house and lot with the original price of ₱2,300,000 was sold at a discount price of ₱2,150,000.…

A: The formula to calculate the discount rate is Discount %=discountoriginal price×100%.

Q: Estimate one real root of f (z) = 0.95z - 5.9e + 10.9z -6 using three iterations of Newton Raphson…

A: This is a problem of Numerical analysis.

Q: Use coordinate vectors to test the linear independence of the set of polynomials {1– 212 –t',t+21,…

A:

Q: Given a scalar field f(x, y)= xy + x² and C is the curve defined by the equation y =-x². Calculate F…

A: Given scalar field  fx,y=xy+x2 and C is the curve defined by the equation y=-x2.

Q: 5- Graph the following function( Y=-1/4 log ,(3x-6)+1

A:

Q: Find the continuity of the function Of(x)= tx²+3 と+ とく3 5x-3 at =t

A:

Q: Graph the inequality on a plane. X+ys3

A: Graph in xy-plane

Q: Solve the following initial value problem using Laplace transformation 2- 2y = 4x? with y(0) =…

A:

Q: Q1: A sketch of the graphs of two sinusoidal periodic functions ?(?) & ?(?) are shown below. The…

A: Given: Let us consider the given two sinusoidal periodic functions fx and gx

Q: Let R be the ring of continuous functions from R to R. Prove that M = {f e R : f(0) = 0} is a…

A: To show that the given subset M of R is a maximal ideal, we first show that M is a ideal of R and…

Q: Eva receives utility from consuming burgers (X, the good on the horizontal axis) and orange juice…

A: The complete solution is in given below

Q: Show that F(x, y) = x² + 3y is not uniformly continuous on the whole plane.

A: Given that function F(x, y) =x2 +3y We have to show that it is not uniformly continuous on whole

Q: a) V = R", (x, y) = (Ax) · (Ay) where A e Mn,n is invertible.

A: Given that, V∈Rn,  A∈Mn,n is invertible matrix, i.e  A≠0 we have to show that x,y=Ax.Ay is inner…

Q: Consider the sequence {an} where an is given by -{ (n³ – 1)/n³, if n is odd, An = (n² + 1)/n², if n…

A:

Q: 12. The graph of f is shown below on the xy-plane. Explain why y = 0.8(x – 1) + 0.4(x – 1)² + 0.1(x…

A:

Q: xdx+ where L airche arc yey (x - {) %3D

A:

Q: f(x) 2 4 8. 10 12 14 CO

A:

Q: 1. у" - 2y' %3D sin 4x

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

Q: cos(x)y' + sin(x)y = 2cos (x) sin(x) – 1 G) = 3/2, 0 <x < 2 %3D 2)

A:

Q: 2. Given matrix M below, sin? A sin A cos A cos² A M = |sin? B sin B cos B cos² B Lsin² C sin C cos…

A:

Q: Find a power series representation for the function H(x) = S" arctan(z²) dz. And Find the 7th degree…

A:

Q: Find the Galois group of the splitting field of x + 2 over Q and identify the automorphism and the…

A: Solution :-

Q: (n + 1)(2n + 1)/6 for the positive integer r )What is the statement P(1)? -) Show that P(1) is true,…

A: Given, P(n) be the statement that                 12+22+ . . .+n2=n(n+1)(2n+1)6  for the positive…

Q: 0くt 27. Express the answer using the symbols of unit step functions. (b) Express the answer obtained…

A:

Q: The system of linear equations: X1 + 2x2 + 3x3 = 2 X1 – x2 + 2x3 = 1 Select one: О а. is an…

A:

Q: Question 3. In parts (a) - (c), prove that for all n ɛ N: (a) n-1 £(:)-I- n k k=1 k=0 (b) £(:)-- n =…

A: Here we will use binomial series expansion  a+xn=n0an+n1an-1x+n2an-2x2+......+nn-1axn-1+nnxn…

Q: A compact disk spins at a rate of 200 to 4000 revolutions per minute. What are the equivalent rates…

A: As per the company rule, we are supposed to solve one problem from multiple problems. Therefore…

Q: investment products were made available to the small businesses and single entities. These…

A: Here we generate a equation then solve that.

Q: Find the D.E. for each of the curves determined by the condition that at each point (x, y) ,   The…

A:

Q: "MAXIMA AND MINIMA" A man launches his boat from point on a bank of a straight river, 3 km wide, and…

A: Given: Let us consider the given, Row speed=6 kmhr Run speed=8 kmhr

Q: Evaluate the following problems using modular arithmetic. Write your answer as a modulus statement.…

A: To evaluate the given problems using modular arithmatic.

Q: Let R = {(x, y) € R² | In y <r <1n1< y< e} and let S be the surface defined by the vector function…

A: First we find the region of (u,v) such that the projection of surface on xy-plane is R.

Q: Find all proper nontrivial subgroups of Z, x Z, x Z. Find all subgroups of Z; x Z4 of order 4.

A:

Q: 80 24c 80 C = 24 Write the 80 as the product of 5 and a power of 2. Write the 24 as a factorial.…

A: This is a problem of Taylor's polynomial approximation.

Q: After 3 iterations of Newton-Raphson Method, solve for one real root of + 2x + 10x - 20 = 0 with zo…

A:

Q: 8. If W = and V =, compute W x V.

A: To compute w*V from the given vectors.

Q: Prove that an algebraically closed field is infinite.

A: Let F be an algebraically closed  field.Suppose, if possible, that F is  finite, say, F = { a1 ,a2…

Q: • Exercise 3 Prove that if S and T are both bounded linear operators from the normed space X to the…

A: