One morning, Christine measured the tempe outside every hour. She determined that the equation T = 3h + 55 can model the temperature (1) at each hour (h). State the meaning of the slope and the y- intercept. %3D

Q: Find the Inverse Laplace of the following and show your complete solution F(s) = 5- 2s s² + 25 + 9

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Q: Choose the correct answer for Laplace Q. transform x (t) = e-t + e3t answer choices 1 1 s +1 s + 3 1…

A: Given x(t) = e-t + e3t

Q: for the following product mix profit objective function, the solution is: Z= 3X1 + 5X2 subject to:…

A: The given problem is  Max z=3x1+5x2 subject to           x1≥5x2≤10x1+2x2≥10

Q: Find the area bounded by the graphs of f(x)=x+2 , g(x)=3x²+5 , x=-1 and x=1.

A:

Q: An airline offers coach and first-class tickets. For the airline to be profitable, it must sell a…

A:

Q: 2 2 A = 1 2 1 1 1

A: Solution:-

Q: Find dy/dx for y = J_1P+4 t2 dt t2+4 X. 3

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Q: Now that we know the average amount of points our favorite player scored per game, we can find the…

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Q: Find the determinant of the matrix [3 0 0 3 3 M = 2 -1 -1 | 0 -2 1 (M) =

A: Given matrix is M =300330200-10-10-210

Q: Which of the following is the general solution to the differential equation dx + 2x = 2x²y²dy ? %3D…

A:

Q: Find the area to the

A: Given, the left of z=-1.96 or to the right of z =1.96.

Q: Let W be the subspace of R" spanned by the vectors U; I (l,0, i,0), Uz =(0,-1,1,0), and Uz =…

A:

Q: What is the Laplace transform of f(t) = te? A. s + es B. 1/(s+1)? C. 1/(s-1)2 D. s2 + es %3D

A: This is a question of Laplace transform.

Q: Use integration by part to obtain a formula for S x"e*dx and use it to find S x'e*dx. n Bx 35x хе

A:

Q: Question 16 Consider the following IVP: y"-y = 4cos t; y(0) = 0, y'(0) = 1 Find the general…

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Q: 4. [Geogebra Question] Let f(r) = (1 - x) In(r²)+3.0225887223. Use Geogebra to find 4 the definite…

A: Given integral is improper, since ln(x) is not defined at x = 0. f(x) =…

Q: Find the Inverse Laplace of the following and show your complete solution 9 - 17 + 4 55 s+8 F(s) =…

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Q: 1. Find the Taylor series polynomial expansion of degree 5 of the function cos x at a == 2

A: We want to find Taylor series of f(x) = cos(x) at a = π2

Q: Find parametric equations and symmetric equation for the line. 8) The line through (2, 1, 0) and…

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Q: 3. Find the solution of the heat equation 2- = 0 if the boundary conditions are = 0, ôx| = 0 Ix=0…

A: The given heat equation is                       ∂u∂t-2∂2u∂x2=0 ,∂u∂tx=0=0,∂u∂tx=π=0 and ux,0=π2;…

Q: 92 article in the Journal of the American Medical Association ("A Critical Appraisal of 98.6 Degrees…

A: Sample size less than 30 so we use t test

Q: Use (11.6) and (11.14) to (11.16) to evaluate the following integrals. Warning hint: See comments…

A: introduction: The Dirac delta function is a very important special function in mathematics. It is…

Q: If iz3 + z2-z+ i = 0, then show that z = 1. |z| = %3D

A: We will use property of conjugate of complex number  If  z1 and z2 are two complex number z1±z2 =z1…

Q: Question 24 Find the Inverse Laplace Transform of s2+4s +4 A te D le -2 2.

A: Inverse Laplace transform

Q: There is no clause that, when resolved with itself, yields (after factoring) the clause (¬P∨¬Q).

A: Design a truth table

Q: Consider the IVP: x" + 3x' +2x = 4t2 ; x(0) = 0, x'(0) = 0.

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Q: L= {4 sin (3t) + 2 cos (9t)} L = {sin (2t) cos (2t)} 4s 6 2 + s2+1 s2 –9 s2+4 4s 6 + 82+1 2 s2+9…

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Q: What is the general solution to the differential equation (бх — Зу + 2)dx + (у — 2х + 1)dу %3D0 ? |…

A:

Q: In this graph, identify which of the following paths are cycles:

A: This is a problem of Graph Theory.

Q: The accompanying table shows wind speed and the corresponding wind chill factor when the air…

A: X = Wind speed in MPH  Y = Wind chill in °F By logarithmic regression calculator

Q: suppose Vi =( 6,I,0,-1), V2 =(0,りも,1) and b= (l,2,-1,-1). iet W be spanned by v, and Vz. Find…

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Q: apply stok's Theorem to evaluate (Ydz +7dy+ xdz) whereCiB the curve of intersection of x²+ y²+z² =…

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Q: Using the method of successive approximation, solve the integral equation, y(x) = ex + y(t) dt.

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Q: The surface area of the part of z = 2 + V4 – x² – y² that lies inside the paraboloid z x² + y² is

A: This is a problem of vector calculus.

Q: The functionf:R->R defined by f(x)= (x2 + 1)35 for all xe R is A. One-One but not onto B. onto but…

A: check function is onto or one one

Q: 3. Find the solution of the heat equation = 0 if the boundary conditions are = 0 %3D Ir=7 [7/2 and…

A: The given problem is to solve the given heat equation partial differential equation with given…

Q: If F(p) and G (p) are the Mellin transforms of the functions f(x)

A:

Q: ds What is the general solution to the differential equation 2 = 5t's³? %3D dt

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Q: We define the first two Bobcat numbers as B1 = 2 and B2 = 1. The rest of the numbers are defined as…

A: Given that the first two Bobcat numbers are B1=2 and B2=1. The rest of the numbers are defined as…

Q: Find the area to the left of z = -1.96 or to the right of z 1.96?

A: We want to find the area to the left of z = -1.96 or to the right of z = 1.96

Q: Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 Find the general solution. A…

A: Some of the properties of Laplace…

Q: 5 4 dx

A:

Q: „M\ 3 Evaluate: [Answer: 4/2 (1 – j] 245°

A: The general form of a complex number is given by z=x+jy, where x, y are two real numbers and j=-1.…

Q: Consider the following IVP: " + 4x = t+4; x(0) = 1, x'(0) = 0 Find the general solution. (A x(t)…

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Q: (2.3) Let pi = 2-x+x²,p2 = 1+x, p3 = x+x². Show that S = {p1. P2, P3} spans P2. Conclude that S is a…

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Q: The functionf:R->R defined by f(x) = (x2+ 1)35 for all x e R is A. One-One but not onto B. onto but…

A:

Q: Let U= { 1,2,3,...,20}. Let A, B, C be the subsets of U. Let A be the set of all numbers, which are…

A:

Q: Fill in the table below to identify the type of rigid motion being applied to create AA'B'C', the…

A: 1. This is reflection. As the x axis acts as a mirror line.

Q: A vibrational system consisting of a mass m = 1/4 slug attached to the spring 2.5lb/ f t is modelled…

A: To find the general solution of : d2ydt2+5dydt+6y=7 sin 4t. by the method of undetermined…

Q: 5.43. -- ("*)(*") = ()- in (m+n+: sk=-m r+s+1

A: We have to prove given relation by using counting argument.