Q1:By using simple iteration method, find one root of the following equations. a- 4x = ex use 4D, Ans. X = 0.3574 b- e2x-tan x = e -3π/2 c- 10 x = 2x² +1, use 4D, Ans. X = 0.2029 d- Sin x=- 1 (x²-Inx)³ " use 5D, Ans. X = 0.00883 use 3D, A

Q: 7. (Solve a simpler case or similar problem then look for a pattern) Find the last digit of the sum…

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Q: =o ex) Solve the D.E. (x+y) dx + (x+zy) dy - that satisfies the initial condition y ez) = 3 ?

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Q: (2) Let an be the sequence defined by: a₁ = 1 a2 = 2 an an-1 + 2an-2 for n ≥ 3. (a) Find a3,.. (b)…

A: Given that a1=1 , a2=2 and an=an-1+2an-2  for n≥3

Q: Mean = 63.6 PDF = 45 SD = 18.8 Find the Chebyshev’s inequality

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Q: (1) Chapter 6, exercise 7.1: Let G = D4 be the dihedral group of symmetries of the square. (a) What…

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Q: Read this section briefly. Then answer the following questions. Below are the graphs of functions…

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Q: Determine whether T is a linear transformation. T: Mnn --->R defined by     T(A) = rank(A)

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Q: Differentiate y=sinx+cosx+tanx

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Q: Which one of the following is NOT equivalent to pq? A. (~pVq) ^ (pV ~ q) B. (~pVq) ^ (q→ p) C.…

A: The truth table of some of the standard statement is  p q p∨q p∧q p→q p↔q ~p     T T T T T T F…

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Q: Isabella has to take five courses next semester: Composition, US Geography, Statistics, Chemistry,…

A: Different combinations possible are 2×3×2×5×7 = 420

Q: The function f(x) = |ax - b| + c|x| : x in (-∞, ol where Find the

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Q: Use the improved Euler's method to obtain a four-decimal approximation of the indicated value. First…

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Q: Find the mass, the moments, and the center of mass of the solid E with the given density function p.…

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Q: 5s The inverse Laplace transform of s² + 81 is A cos(bt), where A and b are constants such that b >…

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Q: By using the Bisection method to find the root (only one root) of the function: f(x) = 8x3 – 18x2 +…

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

Q: Transform: F (s) 48-16 8²-68+13 O f(t) = 4e-3t cos2t - 2e-3t sin2t O f(t) = 4e³t cos2t4e³t sin2t O…

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Q: 3. Explain how you would graph f(x) = -2(34x-20)-6. Include the graph as part of your solution.

A: To plot a graph use the calculus rules: 1. f'(x)>0 (<0) implies f(x) is increasing…

Q: You are given 12 points in the plane, no three of which are collinear (i.e., no three of the points…

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Q: BSNL Ein(x) for * * = , 1, 2, ... secd s = l

A: Given     f(x)=sin(x)sin(x)   for  x≠kπ  k = 0,1,2,3,4.....      we know that L{f(x)}=∫0∞e-sxfxdx…

Q: 5. Consider the set of vectors B= 8 # and the vector y=-9 a. Show that S is a basis of R³. b. Find…

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Q: A company uses four special tank trucks to deliver four different gasoline products to customers.…

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Q: If \x| < 1 and X _F; (a, b; c; x) = (1 − x)¯*₂ Fi (a₁c-b;c; _— — ₁) x < 1; then:

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Q: 7. Use a double integral in polar coordinates to find the area of the region inside both the…

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Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs…

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Q: What is the chromatic number of each graph? 3 3 2 XXX 2

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Q: Problem 1: Give an asymptotic estimate, using the e-notation, of the number of letters printed by…

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Q: Chapter 14 Review 59: Find the extreme values of f(x, y, z) = x+2y+3z subject to the two constraints…

A: Given fx,y,z=x+2y+3z  subjected to constrain x+y+z=1x2+y2+z2=1 Applying Lagrange multiplier we have…

Q: Calculate the following integrals. You may - and in many cases, should use results from Sections 3.2…

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Q: Use Eq. 3-1 to show that the Laplace transform of (a) ebt sin wt is b) ebt kos wt is W (s+b)² +w² W…

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Q: How do we know we can pull the 8 out front of the integrals and change all the bottom bounds to 0?

A: A function f(x) is called an even function, if f(-x)=f(x) For example, f(x)=1 is an even function.…

Q: So So So A² sin() ² sin (772)²sin()² dxdydz = 1, (A, a, b, c are all constants) b C Solve the…

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Q: The matrix. The eigenvalue-5 has associated eigenvector 0 A0-5. 0 6 0 has A-5 as an eigenvalue with…

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Q: Find the length of the arc of 6xy x^4+ 3 from x = 2 to x = 3.

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Q: Question 3 Prove or disprove: 31 (2n² + 1) if and only if 3 m 3| n

A: Any integer can be written in form of 3k or 3k+1 or 3k+2 for some integer k

Q: Transform: F(s) = 78+2 (8+2)(8-1)(8-2) O f(t)=-e-2t +3e² + 4e²t O f(t)= et + 3e² + 4e2t O f(t)= et +…

A: we have to find the inverse Laplace transform of  F(s)=7s+2(s+2)(s-1)(s-2)

Q: answer of (4)

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Q: 10) -2 20 18 16 +4 12 10 81 N 4 9

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Q: Transform: f(t) = cos² at F(s) F(s) F(s) = = = F(s) = = S s² - 2a² s(s²+4a²) 2 2a² - s² s(s²+4a²)…

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Q: QUESTION 10 What is an advantage of matrix form for rotation? O Matrices takes less memory to store…

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Q: Evaluate each integral. *x+y ["ya [ y dz = *x+y [*** Jx-y y dz dy = • JL.Y [y dV, where E = {(x, y,…

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Q: 1. f(t) = (2e-4t + sin t)²

A: The given problem is to find the Laplace transform of the given function f(t)=(2e-4t+sin(t))2.

Q: what is the answer of question (3)

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Q: In problem. use the building block Σa", a < 1, together with the result - I n=0 differentiating and…

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Q: Evaluate the following: | sinh (t) 2 + sin (cosh(t)) dt

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Q: Theorem 8.5. Let x2 100. We have T(x) > log loga.

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Q: [5] A convex quadrilateral is determined by the points of intersection of the curves a¹ + y = 100…

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