1. Determine a positive root of f(r) = x+2x² + 10r- 20, %3D sing the Newton's method and an initial guess of ro 1, find r5. %3D

Q: 7. D is bounded by the surface (a2 + y² + z²)² = a²(x² + y? – z²). %3D

A: Sol

Q: 4. If the ideal gas law (PV= kT) is used to find P when T and V are given, but there is an error of…

A: Ideal gas law PV=kT

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Q: The solution of the differential equation dy dy 3 dx + 2y = eš is given by dx?

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Q: 50. The ancient Egyptians used a method for finding the area of a circle that is equivalent to a…

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Q: 5. All circles through the fixed points (4,0) and (-4,0).

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Q: prove That :- let H and K be subgroups of agroupG of the m is ormal a HK is subgroup of G →1f one

A: Subgroup of a group G

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Q: Find a power series solution of the differential equation y' = 4y

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Q: 10. All hyperbolas center at the origin.

A: we know the equation of hyperbolas center at origin is…

Q: by using the fi cos(3.2) YA 2 0.5 3.

A: In this question, the concept of a trigonometric function is applied. Trigonometric Functions The…

Q: QUESTION 8 Which of the following matrices are in echelon form? 1234 0 01 2 0101

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Denote that G is a parametric curve x(z) = z2-z-2 y(z) = z²-=2+z Calculate whether if G is concaving…

A: Sol

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: Given the points (2,7), (2,¯ 6), and ( 3,6), find the coordinates of the images of these points…

A: Reflection of point in the x axis

Q: (5) Find the particular solution passing through the point (1,8) How does this solution behave as t…

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Q: 1 2 2 -1 0 3 find If D = and E = 3 2

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Q: Given this elliptic problem: E NCR on a 01 -V. (pVu) + qu = f, u = gi n. Vu = 92 on a N2 a n, and a…

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Q: Find the determinant of the given matrix using the following method:

A: Sol

Q: 12. What is the next term in the Fibonacci sequence 1, 1, 2, 3, 5, 8 ...? а. 11 b. 12 С. 13 d. 14

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Q: Find the Taylor series for  f(x)  centered at the given value of a. [Assume that f has a power…

A: Given : The given function is  f(x) = sin(x). To find : We have to find the Taylor series expansion…

Q: -1 4 and b = 1 2 Let A = (a) . 'Find the orthogonal projection of b onto Col A. Use your answer in…

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Q: onential function as a sum of i 155+1.648/)t = 702+4.800/)t

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Q: Using Bisection Method, find the root between O and 2 for f(x)= (x^2) - sin(x) - 0.5 until the error…

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Q: The coefficient of (x - 2)4 in the Taylor series expansion of f(x) = 3 log x - log x² about x = 2 is…

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Q: he measure of t

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Q: Consider the function f(x) = x/(x-6). This function has two critical numbers A < B Then A = and B .…

A: Sol

Q: Suppose you own a stand of fast-growing pines. The growth function of the pines is Q(t) = 10t +…

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Q: Describe the following sets  1. The sets of colors in the rainbow  2. The sets of colors in the…

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Q: Find the difference between the upper and lower estimates of the distance traveled at velocity f(1)…

A: Given, the velocity function            f(t)=e-t22 , 0≤t≤4, for n=60

Q: 2. Use Green's theorem in order to compute the line integral P (x – 4)³ dy – y³ dx where is the…

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Q: Find the root of cos(x)-x?-x using the Newton-Raphson method.(Use radians in solving)

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Q: The solution of the differential equation dy dy 3 dx + 2y = e3* is given by dæ?

A: Given differential equation is d2ydx2 - 3dydx + 2y = e3x

Q: Problem 2) Minimize M2 (1) subject to 2M1 – M2 +320 (2) M1 + M2 2 2 (3) M2 2 M1 20 (4) a) Apply the…

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Q: An investor has $120,000 to invest in bonds. Bond A yields an average of 5% and the bond B yields…

A: Note: We are solving the question by supposing x = dollars invested in bond A and y = dollars…

Q: use Euler me thud to solve y's 3x²+y h=0.25

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Q: Three investors are dividing a piece of land worth $300,000. Each investor's value in thousands for…

A: Fair share using the lone divider method: The land's total worth is: $ 300 Using divider method = $…

Q: A graph G has the following vertex and edge sets. V = {1,2,3, ..., n} E = {{1,2}, {1,3}, {1,4},...,…

A: Solu

Q: Let Scメッリ):\y\<\,Ms I = be the square with Siles of lenglh 2. Let In be the Square pimed at (0,0)…

A: Given,I=x,y:x≤1,y≤1: SquareLength of square=2In is rotated at an angle 2πnθTo find: limn→∞sup (In)…

Q: 4.F.1 Suppose the eigenvalues of a 3 × 3 matrix A are 2, 3/5, and 2/5 with corresponding eigenvec-…

A: We have to describe Av1+2v2+3v3 as a linear combination of v1,v2,v3 Then, we can proceed further.

Q: Find the volume of solid generated by revolving the region bounded by the lines y = 0, x = 2 and…

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Q: 1. Show that va(z(t), t) = z(t)P"(t)Q(t)P(t)z(t) is a Lyapunov function that proves uniform…

A: Sol

Q: Find L-1{F(s)} for each given F(8). F(s) s² – 4s + 13 S- 4 F(s) %3D (s – 2)²(s+3)

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Q: Describe how to find the inverse of a one-to-one function. Choose the correct answer below. O A.…

A: We want to find the true option.