Use the Laplace transform to solve the given initial-value problem. y' + 5y = e3t, y(0) = 2

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A: X~N( 0 , 1 )   μ=0 , ?=1 (for standard normal distribution)   Z-score =( x - μ )/?

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A: Given triangles are:

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A:

Q: I can't read this to make it out in order to understand this question.

A: Let's find function is linear or quadratic.

Q: Find the measure of the largest exterior angle. D = 4x 13 - A = 8x 21 - C = 5x - 11 区 B = 6x + 14

A:

Q: A B Find BC. C AC = 7 BD = 7.5 DE = 1.5 AE = 11 BC = [?] 4 D E

A:

Q: Find the derivative by using the quotient rule. 3x-2 (a) 2x +3 Jx +2 (c) x2 3+2x (b) x² +1 (d) *+2

A: Given: a)  3x−22x+3b)  3+2xx2+1c)  x+2x2d)  x+2x

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A: given function

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Q: If DE is a chord of OCwith radius 8, and mZDCE = 60, what is the length of DE? %3D

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Q: the x-axis over the inter Note: No credit will be given for using any other method. Area = 54 units?…

A:

Q: Problem 6. Consider the plane, X, in R3 given by the vector equation: x(s, t) = (1, –1,2) + s(1,0,…

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Q: y = f(x) = 2 =, n= 3, a = 1. Approximate y at x = 0.99 A) Find the Taylor polynomial T3 C) Find the…

A: y = f(x) = 3x2 Taylor Series: fx = fa + f'ax-a + f''a2!x-a2 + f3a3!x-a3 + .............. + fnan!x-an…

Q: Find Sinza n 2²4 sin z dz

A: Explaing the steps.

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A: Given A is a 3*3 matrix and B is set of vectors containing columns of matrix A and H= span(B).

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Q: A Ferris wheel is 24 meters in diameter and completes 1 full revolution in 16 minutes.

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Q: Problem 3: Non-linear systems of equations Given the following system of nonlinear equations fi (T1,…

A: Given: A system of non-linear equations f1(x1, x2)=3x1-2x23f2(x1, x2)=2x12+x2 and a initial guess…

Q: Problem 6. Consider the plane, X, in R given by the vector equation: x(s, t) = (1, –1,2) + s(1,0, 1)…

A: The complete solution is in given below

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Q: 6.4-2. A random sample X₁, X2,..., Xn of size n is taken from N(μ, o²), where the variance 0 = o² is…

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Q: To find: The truth table for (P ^ q)→ (p^ ~ r)

A:

Q: If AB is a diameter, BC is tangent to the circle, and mZABD = 25°, what is the measure of ZBCD? 4 A…

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Q: n a survey, 44 people were asked how much they spent on their child's last birthday gift. The…

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Q: Question 4 An experiment was conducted to measure the pollution level in the ground- water at four…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.