Example 2: Given f(x)=2x+3, g(x)= x² + 2x+1 and h(x) = 2* determine: a) f g(x) b) of (x) c) goh (x) d) ƒ *(-1)_

Q: [2] x ² (y+5) + (y+5) = (413) ✓ Solve the following IVP: (x²y + y + 5x² +5) = y² +y-2; y(1) = 2 ✓ dx

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Q: 3. In the video lecture on the countability of the non-negative rational numbers, we show these…

A: We recall ordering of rational numbers by diagram sketch. Then answer the questions please check the…

Q: For each item below, given u and v, calculate u + v, u - v, and v- u. Then sketch the vectors u, v,…

A: Solution:- Simply adding the vector coordinate w.r.t  x,y and z axis

Q: Find the following integral  sin5 x cosn x dx  where n > 1 is an integer

A: Break sin5(x) =sin4(x) sin(x) and use sinx and cosx relatation.

Q: 6. The data shows the number of books published with LGBTQ main characters in the U.S. a. Create a…

A: Given data is year book published 2013 24 2014 42 2015 45 2016 78 2017 82 2018 110…

Q: Find the general solution of each of the followingsystems: y''1= 2y1 + y'2 y''2= 2y2 + y'1

A: Given that : y1"=2y1+y'2y2"=2y2+y'1 To Find : The general solution of the differential equation :…

Q: Given the differential equation (x - y ln) dx + (x ln) dy = 0 what is O In-1 O ln / +1 O In-1 O ln…

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Q: Discuss the domain and range of polynomial functions in general. Think about: Does the domain and/or…

A: Given Data: To discuss the domain and range of polynomial functions in general. Does the type of…

Q: Features of a graph Consider the graph of the function g shown in the figure. YA 3 2 y = g(x) 3 4 x…

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: Discuss the domain and range of polynomial functions in general. Think about: Does the domain and/or…

A: Any polynomial is expressed in the form  p(x)=anxn+an-1xn-1+----+a1x+a0 where an, for n=0,1,2,....n…

Q: At what point do the curves r₁(t) = (t, 2 − t, 15 + t²) and r₂(s) = (5 – s, s − 3, s²) intersect?…

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Q: For the following matrices A, compute (i.e., derive a formula for) eªt. for a given & R A X 10 (8)…

A: What is Exponential Matrix: The matrix exponential in mathematics is a square matrix function that…

Q: If P(x) is the statement x ≥ 11, Q (x) is the statement x ≤ -2 and R (x) is the statement (x - 3)(x…

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Q: An exercise machine with an original price of $720 is on sale at 8% off. a. What is the discount…

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Q: 1. Find the angle between the vector v=i-k and the x-axis.

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Q: Every pre-Hilbert space is Continues * True O False

A: Introduction:      A Hilbert space is a vector space that has an inner product that defines a…

Q: Find the first 5 terms of a == +4.

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

Q: " determine conditions on the bi's, if any, in order to guarantee that the linear system is…

A: Given that,  The linear system of equations, We have to check whether  the this system of  linear…

Q: Find the smallest positive integer n such that 5(3² +2²) (3¹ +2¹) (3³ +2°)... (32" +22")> 924 9256

A: Using mathematical induction we can find the solution. Smallest n=9.

Q: Example 2. Using Fourier transform solve the heat equation Ut = c ² Uxx, -∞0 with initial condition…

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Q: Let A be a 3 x 4 matrix with reduced row echelon form given by [1 0 4 1 1 1 0000] U 0 find as and a…

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Q: 4. a) Set up, but do not evaluate, an integral for the length of y = 14-9x, -22 ≤ y ≤ 31 using, i)…

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Q: Suppose that your friend Rhyley has saved $5,000 toward the cost of a car and her parents have…

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Q: Differential Equations - Find the general solution: dv dx - 3v = 2xe³x

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Q: Show that (pq) and p ^-q are logically equivalent.

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Q: Let T: R³ → Rº be a linear transformation defined by T'(x) = Ax where the matrix ;] A = -1 -1 -1 0 2…

A: Find the answer below.

Q: 7. Sketch the set {(x, y) = R² : ||(x, y) || = 1} when: (a) ||(x, y)=√√√x² + y² (b) ||(x, y) || =…

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Q: Q2: Find the area and perimeter of a pizza slice (i.e. pizza was equally sliced into 8 parts) From a…

A: Q2. To Find: The area and perimeter of a pizza slice (i.e., pizza was equally sliced into 8 parts)…

Q: Problem 1. Answer True or False. Justify your answers. a) {2,3} {1, {2},3, {1,3}} b) c). Notation:…

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Q: 1. Linearize x³ + ln x about x=3 In

A: Given: Linearize x3+ln x about x=3 To find: To find the linearization of x3+ln x about the point x=3…

Q: Q-1) B// Evaluate the following double integral sinx Tor. f (x² + y²) dy.dx 00

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Q: Find A¹, A², AA, 2A, and A-¹. 5 -4 7 9 |AT| A = (b) |A²| (c) |AA| (d) |24| |A¹|

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Q: Consider the set V = R³ and the field R. For (21, 91, 21), (2, 92, 22) E R³ and c R, define the…

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Q: explain whether it is convergent, divergent to t∞, or otherwise divergent (not to too). If it is…

A: (a) Consider the sequence sn=-1n2n+122n-3sn=-1n2n+12n2-3n As n→∞, 1n→01n→0

Q: X = A +3B, 1 A= -1 5 -1 2 0-3 X = 2(AB+C), A= 2 , B = 1 3 -3 (30-1 (1 2) +4)-(3-49 B= 1 0, C= 0 6…

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Q: Given the differential equation (~² (e sin y-32²) dr + is on ? SN dr O e siny - y O-e* sin y O e cos…

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Q: st K Perform each of the following computations. a. 270 eight -75 eight b. 321 eight -32 eight a.…

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Q: Find the roots using newton using initial guess 5.7 with an accuracy of 1% f(x) =…

A: Solution -0.676⋅10-8x4-0.266⋅10-5x3+0.127⋅10-3x2-0.0185=0Let…

Q: Given the points A = (3, 4, 2), B= (-1, 2, 4), C= (0, 1, 3), and D= (-1, 2, 3),   find  the exact…

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Q: a) Let f(x) = 1-1,1] (x). (i) Show that f(x) = sinx. (ii) Using the Parseval's theorem, deduce the…

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Q: For numbers 11-1 refer to the figure bele r(x)=2x- <-2 JNE, 2 11. Evaluate r(2) a. -11 12. Find…

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Q: A = 6 -2 -2 10 -3 5 -10 3 C=0-2 1 0 1 . B 11 9 4 4 7 0 0 11 5 a = 1, b = [3 08]. 2

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Q: Determine the set ⋂ n=1 to ∞​ (−1−1/n,1+1/n) (intersection of open intervals)

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Q: Suppose that you have $11,000 in a rather risky investment recommended by your financial advisor.…

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Q: a) Find the Laplace Transforms of i. t²u(t-1) te-3tu(t) ii. 111. cos² (wt)u(t).

A: Use the laplace table.

Q: Use the given graph of f(x) = x² to find a number & such that if |x − 1| < ♂ then |x² − 1| < 1/1…

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Q: Find f'(2), where f(t) f'(2) = = u(t) · v(t), u(2) = (2, 1, −2), u'(2) = (7, 1, 8), and v(t) = (t,…

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Q: The number N(t) of supermarkets throughout the country that are using a computerized checkout system…

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Q: 10.Trent earns scores of 64, 83, and 77 on three chapter tests for a certain class. His homework…

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Q: 11. Use substitution to convert the integral to an integral of rational functions. Then use partial…

A: Given: Intgeral I=∫sinxcos2x+cosx-72dx Tofind : Using partial fractions to evaluate…