Consider the Initial Value Problem: y = y + 3x – 5, y(1) = -2. An approximation of y(1.2) with step size h = 0.2, using Euler's method is:

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Q: a) Find the area of the region enclosed by the curves y = 12 – x² and y = x? - 6. Answer: A =

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: 1. Find the Gradient of the following F = x*e" - y': b. F, = 4x - 3y + 5=? а.

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Q: sketch a graph of the given function..show all work..check answer with technology f(x)=x2ex

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A: The given problem is solved below in detail.

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Q: Problem #11: Consider the following function. h(u, v) = u³ + 24uv + 12v² (a) Find the critical…

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A: Given problem:-

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Q: Question 5 Find the derivative: y = (3x 2x) Va5 2x + 2 - - dy 27-14x5-30x2+36x-8 2Va5-2x+2 (3x-2)…

A: The given function is  y=(3x2-2x) sqrt(x5-2x+2).

Q: 2. Let Ā and B be nonzero vectors. Find k e R such that Ā + kB is orthogonal to B – Ā.

A: Two nonzero vectors u,v are orthogonal iff u.v=0 For any two vectors A,B we have, (A.-B)= -(A.B) and…

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Q: f(x) = %3D 4 — т

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A: Given,h(t)=t2t2+12differentiate w.r.t.th'(t)=ddtt2t2+12Use power rule…

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A: The given problem is solved below in detail.

Q: 1. Prove using vectors that the points (4, 3, 0), (2, 0, 1), (4, 1, -1), and (2, 2, 2) are the…

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Q: 8x Find the power series for f(x) = in the form an. (1- x*)? n=1 Hint: First, find the power series…

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Q: Find the inverse of f(r) = log, (3z + 1) +2 %3D

A: Find the inverse of f(x)=log43x+1+2

Q: Use a definite integral to find the area under the curve between the given x-values. f(x) = ex/7…

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Q: な-リ x'y = x'y,

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Q: For the graph to the right, describe the composition of transformations that maps ACFB to ADTQ.…

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Q: 4/3 J48-x J64 -x² -y? +8 Let J= z dz dy dx - 4 /3 13 (x? +y?) (i) Express the integral J in…

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Q: The population of a community is represented by the following Initial Value Problem: dP – 3P = 0, dt…

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Q: Consider the following function. g(x, y) = e5x² – 5y² + 10/7 x %3D (a) Find the critical point of g.…

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Q: Consider the table below for lim (f(n)). f (n) 510.5 1022 510.9 5110 510.99 51100 510.999 511000…

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Q: Use the First Derivative Test to find the local maximum and minimum values of the fu M(t) = 4t3 +…

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Q: onsider the following function. f(x) = x2 - 8x (a) Find the critical numbers of f. (Enter your…

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Q: Find recursive definitions and closed formulas for the arithmetic sequences below. Assume the first…

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Q: Find the area of the region bounded by 2-2 8-x X= 8 3.

A: We need to find the area bounded by given curvey=2+x-2 and y=8-x3 and x=8