Determine the length of the third side of the right triangle. Write the answer as a simplified radical. 8 in

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Q: Express ow/ds in terms of r and s if w = x² + y², x=r-S, y=r+s A) 4s B) 4r C) 4sr O O

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Q: Solve the equation. Be sure to reject any value that is not in the domain. Give the exact answer. 7)…

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Q: Let C = D = {-3, -2, -1, 1, 2, 3) and define a relation S from G to D as follows: For all (x, y) E C…

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A: Let us consider the length be l cm and width be b cm of a rectangle Thus, the area of the rectangle…

Q: 1) Give the Interval of existance for the Solution to the initial valve problem. (+²-16)y" + Cos(4+)…

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Q: 3. Compute the tangent plane at u = 0 and v=0.

A: Introduction: The formula of the tangent plane of the function f(x,y) at the point a,b is given by,…

Q: of Given f = xy² In (3y + 2x) + (xy)e™, find dy O None of the choices af ety 3.xy² 3y+2x + (2xy²)…

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Q: :use convergence test on the function n+1 with nth term n A diverge to infinity O C diverge to 1 O B…

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Q: volume of the solid generated by revolving the region about the given line. a.) State the volume…

A: Introduction: The washer method refers to this application of the slicing procedure. Because the…

Q: Taylor series for the function below ends ? with (x) to the power 2 f(x)=x² + x² +1, a = -2

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Q: Solve for the two positive values of x that satisfies the equation ex = 3x² Using the following…

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Q: e) In 2012, a house is valued at £62500. This is a drop of 45% on the price paid for the house in…

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Q: d. Monthly salary ratio e. School nominal 2. For each of the following variables, indicate whether…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: 8. Create the equation of any function where the instantaneous rate of change when x = 1 does not…

A: Create the equation of any function where the instantaneous rate of change when x = 1 does not…

Q: Test the convergence of the following series using the nth Root Test. 1 #n C) O O B) 1 O A) 2 O

A: We know that , root test for series convergence ,  Let ∑n=1∞ an  be an infinite series. Let , L =…

Q: 3. Let's assume you have a dataset as given below. Perform second order Lagrange interpolation and…

A: Lagrange's Interpolation formula x f(x) 1 0.1411 1.3 -0.6878 1.6 -0.9962 1.9 -0.5507…

Q: Find Maclaurin series generated by the :function -X et te 2 1+ 4 2! 4! + x2n (2n)! A) O

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Q: Q(x) v Q(y)) zP(x, y, z) an R(₂)

A: FOL will be First Order Logic.

Q: nd the standard polar form of cos +50 sin + √6 cos+j√6sin+√15 cos- j√15 sin T cos ²7+j24 sin 3…

A: The standard form of z=r cosθ+i rsinθ z=reiθ Where,  r=r2cos2θ+r2sin2θ and θ=cos-1rsinθrcosθ

Q: :The nth term formula for { 1,0,1,0,... } is

A: given sequence 1, 0, 1, 0, .........

Q: Which one of the following functions is odd? Oy = 3x² Oy = 3x y = x³ Oy=3+x What is the parent…

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Q: Find the linear approximation to g(z) = cos(z + 1) at z = 0. Use the linear approximation to…

A: The formula to find the linear approximation Lz of a function fz at the point z=z0 Lz=fz0+f'z0z-z0

Q: * :The implicit derivative (dy/dx) of (f(x, y) = y² — x² — sin (xy)) 2x+xcos(xy) 2y-ycos(xy)…

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Q: Combine the methods of row reduction and cofactor expansion to compute the determinants.

A: We have given that ,  A = 0-7-50231200636008 We need to find determinant using row reduction and…

Q: /Solve the following: ( ) 1 a) L-1 s(s²+a) 18z² (2 z-1)(4 z+1) b) Z¹

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Q: (A) Find the integration factor of the non exact differential equation ev (x² + +1]dx + ( +2y dy=0…

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Q: Solve for the only positive value of x that satisfies the equation *²-1=(1-e-*) Using the following…

A: Suppose the root of the equation fx=0 lies in the interval xn-1,xn such that fxn-1·fxn<0. Use the…

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Q: Suppose that f(x, y) = x +y on the domain D = {(x, y) | 1 ≤ x ≤ 2, x² ≤ y ≤ 4}. D a Then the double…

A: Here given  fx, y=x+y and the domain is given as D=x, y:1≤x≤2, x2≤y≤4

Q: * :The nth term formula for { 1,0,1,0,... } is 1-(-1)" 2. an = A₂ = An خيار 2 1 + (−1)" 2.

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Q: ume equals 2.74 million in 2015 and 4.19 million in 20 2015, then t5 for 2020. Expressing the two…

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Q: 20. Which of the following is a counterexample for the conditional statement "All prime numbers are…

A: I have given the answer in the explanation section. Hope you understand that

Q: Find fy if f(x, y, z)=1-2xy²z+x²y yxy B) -4z O A) 4z O C) -4 O

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Q: Suppose we have the female population of a species is divided into juveniles, yearlings, and adults…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

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Q: Taking Log on a both the sider and applying fo

A: Given, if           xxyyzz=C To prove that at x=y=z,                 ∂2z∂x∂y=-(xlog(ex))-1…

Q: : r= = (2,0) + s(-3,-3) determine if land l₂ will intersect or not. 20. Given l₁ : r = (1, -2,) +…

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Q: C. Determine whether each of the following arguments is an example of inductive reasoning or…

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Q: ey 2 In (Z5 x Z5, +5,-5) the set B = {(2n, 2n), n E Z5) is a subring.

A: Here given ℤ5×ℤ5, +5, ·5 is a ring, Also given  B=2n, 2n: n∈ℤ5, Since ℤ5=0, 1, 2, 3, 4 thus B=2·05,…

Q: Find the volume of the solid below the function z = f(x, y) = y√x and over the quarter disk of…

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Q: Solve dy dx cos x = cos x cst ² y

A: A differential equation can be solved using the variable separation method. In this method, the…

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Q: THIS BE SOLVED ANALYTICALLY? SO, HOW? (a=0.75 STILL) dy=ay (1-2y). 6y³ - dt 4y³+5 SET UP THE…

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