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Q: Classify the following DE: e* OV Classify the following DE: e*Y dx +3y =x²y Select one: a. Seperable…

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A: Given the differential equation is y'' + 16y = 2 sin8t,   y0=-12,   y'0=0

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A: The given integral is 5/[3√x -2x].

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Q: Sxª+a*+ a®) dx = %3D O a. xa+1 ax +C Ina а. a + 1 O b. xª+1 a + 1 ax +aªx +c Ina O c. xa+1 +а\ina +…

A: Consider the given integral. ∫xa+ax+aadx Rewrite the given integral as separate integrals.…

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A: a(t) = 6t m/s2 v0 = x0 = 0

Q: (0s 2. Evaluate SLla xex?+y²+z4) dx dy dz, where R is the upper half of the unit ball, x2 y2 + z2 <1…

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Q: OBJECT Q Takentogether sahisfy the di fPorential Show that the fuvnekiions equations dx dy +2 dt dx…

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Q: 7. Suppose a joint pdf is given by f (x, y) = cæy for 0 < ¤ < 1, 0 < y < 1. %3D a. Find the value of…

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Q: iven the pdf of X GEOM(p) S(1 – p)²-'p, f(x) = | 0, if r = 1,2,3, ..., 0 otherwise

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Q: esin 2x + sin(e2"). Find dy Show your work. dæ Let y =

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Q: (a) Find F'(x), where (i) F(x) =x t cos(12) dt; %3D (ii) F(x) = sin(e") ds. %3D

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Q: Exercise 2. * sin(3z) Let f(z) and C: |z – 9| = 1. Then ſ. f(z)dz = %3D z2(z-n) a. 0 b. 2ni с. 9 d.…

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Q: the followring using Laplace solve y - 3y +2y= e e-VE %3D » y'0) = 5 %3D

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Q: f (u) and u = g(x), find dy/dx: a) y = cosu, u = -x/3 |

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

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.