Solve using GEMPS X1 + 3x, + 5х; + 7x4 7x1 + 9х2 + 2х3 + 5x, 5х1 + 7x2 + 7х3 + 7x4 — 8 2x1 + 2x2 + 3х3 + 3х4 — 4 = 8 %D = 0

Q: 4. dy – (x - y + 1)²dx = 0

A: As we know that; ∫dxa2-x2=12alnx+ax-a+C   The given differential equation is: dy-x-y+12dx=0 So, we…

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Q: (c) f(0) 4 (d) lim f(x) X-0 (e) f(2) (f) X-2 lim f(x) (g) f(4) lim f(x) X-4 (h)

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Q: 6" We want to determine if the sequence is monotonic. (3п)! Using the ratio test we get that n+1 Sn…

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Q: 11. Eliminate the arbitrary constants of cx? + x + y² = 0.

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Q: Find the area of the triangle with vertices P(1,5, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the…

A: Here, PQ=Q-P=-1,-5,6PR=R-P=3-1,4-5,1-(-6)=2,-1,7

Q: 4. Given function f (x,y)=e-(x° +y"), and classify them into maxima, minima and saddles. then find…

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A: First we find partial derivative with respect to x and y.

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Q: Determine whether the series converges. Σ Vk+ 3 k=1 The series converges. The series diverges.

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Q: 5. If f(x) = 2x² + 3x + 5, f(c) = 20, and the interval is [0,5], use the Intermediate Value Theorem…

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Q: Activity 2: Name Me in Three Ways! Directions: Determine if the given function is continuous or not.…

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: 1. Given: - 4r? with f'(x) = (x+2)2 (r+8)(r - 2) (x+2)3 8(7r-4) (r+2)4 f(r) = and f"(x) = %3D %3D…

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Q: 3. Determine all the roots (real or complex) of the polynomial p(x) = 2x4+13x³+27x2+13x-15.

A: Since you have posted multiple questions. As per guidelines, we"ll solve only first question. If you…

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Q: Find the product or quotient of pair of complex numbers. A. 4(cos 40° + i sin 40°) •5(cos 70° + i…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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A: Given query is to find the solution of the differential equation.

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A: First find the magnitude of the vector and the find unit vector

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A: The given function,  f(x)=1x,if x≤1x2-1,if x>1

Q: log, r – log, (x + 10) = log, k. %3D 1 Find x if k 8

A: Log

Q: Find the particular solution determined by the initial condition. f'(x) = 3x2/3 - 4x3; f(1) = - 8…

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Q: Show that the lines L1 : x =1– t, y = 2t, z = 4+t and L2 : x = 1+ 3t, y= 3 – 6t, z = 5 – 3t are…

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Q: If F(u,v) = (u-v) / (u+v), Find r(금금)+ F(x)

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx² + y² + z² (5,…

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Q: 2. Find the second degree Taylor polynomial of g(x) = V1– 3x about 3, then use it to approximate the…

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Q: Given y = V/x – 2/x – 2; Find y! %3D | - O (E) None of the choices -2-1 5 2(x-2) 7 1-Va-2…

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Q: Area = 2 Area = 1. Area = 3 3 5 7 Area = 7 Graph of f' The figure above shows the graph of f', the…

A: Note : As per our guidelines we are supposed to answer only three subparts if there are multiple…

Q: The reverse order of f, S, sin y² dydx is f, S sin y? dxdy False True

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Q: Find the limit. Use L'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: Determine whether the lines Lj and L2 are parallel. L1: x = 3 – 4t, y = 5 + t, z = 8 – t L2: x = 5 –…

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Q: Given the function f(x) = () a) Find a power series representation for f(z). п(п + 1) (n + 2):…

A: Let's find.

Q: Find the gradient of the function at the given point. g(x, y) = 18xe/x, (10, 0) Vg(10, 0) =

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Q: If Arctan gx 3. dx =b Arctan* 3x +C, what is b?

A: Solving the given integral by substitution.

Q: p³ + x² – 4 4x = x +1+ - 1. Consider the function f(x) Note that - 4° x² – 4 x2 (x2 – 12) (т? — 4)2…

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Q: Jose must choose between two job offers. The first job pays $62,000 for the first year. Each year…

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Q: Evaluate the integral of: * dx x2 – 2x + 50 arctan (x - 1) + C arcsec (x - 1)/7 + C O 7 arcsin (x -…

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Q: 13. dx = + C 2 6.

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Q: 1. (3y²+ 2x²)dy + 2xydx=0

A: Ode

Q: 6dz S(VE – )dt

A: