Consider the differentiable function f (x, y) = x2+ y2. Find an equation for a plane that •is tangent to the graph z = f (x, y), and •contains the line r(t) = 〈2t, t, −1〉

Q: Let G be a group. If a G define C(a) = {g €G: gag¹=a}. Let a € G. Prove the following (a) Prove that…

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Q: MATRIX A: 4 -3 5 -11 9 8 -5 6 7 1 MATRIX B: -11 9 10 -5 3 MATRIX C: 0 4 -82 -48 -5 0 -2 0 0 0 -9 15…

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Q: x1 + 5х2 + 3x3 4x1 + 2x2 + 5х3 2х, + 4x2 2х1 - = 14 3 16 3x3 + 8x4 + 6x5 = 2х5 X3 = 0 0

A: x1+5x2+3x3                               =144x1+2x2+5x3                            =3…

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Q: 5. Let U = {(u₁, U2, U3) E R³|u₁ + u2 - u3 = 0} and V = {(V1, V2, V3) E R³v₁ - 3v2 +5v3 = 0}. (a)…

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Q: Solve only for x in the following set of simultaneous differential equations by using D-operator…

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Q: K William opened two investment accounts. The first year, these investments, which totaled $2800,…

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Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

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Q: 1.) xyax ^)/√²-1²) dx + (x² - 2xy) dy = 0

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Q: Solve the following logarithmic equation.  1 + 2???5 ? = ???5(16? − 3)

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Q: (4) (a) Graph y = √√√1 − x². (b) Partitioning into how many intervals does insure that §²₁ √1 – x²dx…

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Q: (a) n {z € R: 3-1 +€R: 3-1 < x < 3 + 1}. n nEN (b) U{TER: 3-1 <*<3+1}. n nEN (c) {X {x,y,z,…

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Q: If f(x) = (x5+1)(x4- x) and g(x) = (x3-1)2 then g is O(f) but f is not O(g). Group of answer…

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Q: 4. Explain how to graph a simple rational functions, such as f(x) 1 g(x) = and range. quadratic…

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Q: Question 3 3-1 c Let B= 0 2 0 c -1 3 с OA. c = 1 OB.c=0 Oc= ±1 Find c so that the product of the…

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Q: 3. Use Lagrange interpolating polynomial to approximate Answer up to 5 decimal places. f(¹) if…

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Q: A 3x3 matrix has three eigenvalues -3, -2 and 1. Its characteristic equation is ... O Ap(2) = 2³+42²…

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Q: Gauss & ty METHOD Solve for X, 9 and 3 у 3х-гу tW = || x + 55-2=-²9 2х 2=M8-6+ X=2 y=-1 W = 3

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Q: 6) When some variable z is a function of time (t), the derivative of z with respect to t is denoted…

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