let P: XY be a function prove that Phas an inverse if and only if fis abijection.

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Q: find the Laplace transform of e4x O 1/(s + 4) O 1/(s² - 4) O 1/(s - 16) O 1/(s - 4) O 4/(s - 4)

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Q: Assume your firm has an unused machine that originally cost $75,000, has a book value of $20,000,…

A: Solution :  Options (B) is correct  : $ 25000

Q: Convert the complex number z = -√2 (lis (317) in its rectangular shape

A: Given: z=2cis3π4 To find: Rectangular form of given complex number.

Q: Fit the following data using Lagrange Interpolating Polynomial X 1.5 5 -4 10 f(x) -4 25 -10 7.5

A: Lagrange's interpolation formula for 4 points can be defined as :…

Q: Question 1 See Handout 14. Let f(x) be a function of period 2π , where f(x) = 4x for 0<x< 1 and…

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Q: d x dt 2+ + 3x + 5y. = LY dt -3Y-5X ex

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Q: Consider the linear transformation T: R³ → R³ that rotates vectors 90 degrees around the line (x, y,…

A: “Since you have asked multiple questions, we will solve the first 3 subquestions for you. If you…

Q: 9. If A, B, and C are sets then the class = {B-A, C-B, A-C, ABC) is a partition of AUBUC. 10.…

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Q: 1. Consider the schematic shown in the figure below, representing a 2-piece robotic arm. Find a…

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Q: Consider minimizing the above objective fuction for the following numerical example: A = 0.5, y = 1,…

A: Given: λ=0.5, y=1, x=10 To find: Solution

Q: Solve the following equations and compare the roots using the five methods. Tabulate the data…

A: Given: f(x)= x³ + 3x² - 2x - 7 To find: Solution

Q: 3. Emily is making a closed rectangular box with a square base from two different woods. The wood…

A: Let box has dimension as: (W,L,H) where W is width ,L is length , H is height according to question…

Q: Q2 Please help with parts a and b  (a) Solve below polynomial function by factoring: 2x2  + 38x -…

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Q: Accumulate ₱54,000 at 11.75% interest when compounded semi-annually for 3 years and 5 months

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Q: Graph the system of linear inequalities. ? 5x−3y≥3 2x + 6y ≥ 30

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Q: TRUE or FALSE 1. The set R³, with the vector addition operation defined by (a1, a2, as) (b₁,b2, bz)…

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Q: Let Q be the differential operator defined by Q(y) = y(3) +44 (2) + 5y² + 2y assolue: Q (y) = 10…

A: Solution a: Given differential equation is Q(y)=10cos(t)+12et+2       (1) Here Q(y)=y'''+4y''+2y'+2y…

Q: (a) Integrate x ln(x + 1)dx analytically; and numerically using (b) trapezoidal rule with iterations…

A: As per the rules we can solve only 3subparts per questions so I'm solving a,b,c

Q: Q3 Assume that (M,d) is a Compact metric Space. Show that, f: (M,d) → (Y, 2) is Continous bjective…

A: f:(X, d) to (Y, d) is said to be homeomorphism if  1) f is continuous.  2) f is bijective.  3) f…

Q: I. In each item below, show whether the following is TRUE or FALSE. Support your answer with a…

A: a. True, because 36=12×3 b.

Q: 1 1. H = Span Suppose : = The projection of von H is: [1] 0 {Q.A]} 1

A: Given, ν→=111 H is the vector spanned by 011and 101.

Q: Is there any value of k that will make the planes kx + 2y-2kz + 3 = 0 and x-2ky + 5z = 0…

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Q: Ali, Ben and Calvin divided some stickers among themselves. Ali took 20 stickers and 1/5 of the…

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Q: Use power series to solve the following differential equation: 3y" + xy' + 4y = 0 (x = 0 is…

A: Given DE is  3y"+xy'+4y=0 ......(1) We solve the differential equation (1) by using power series…

Q: 5. Find the number of positive integers less than 700 that are divisible by 3 but not divisible by…

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Q: In each of Problems 13 through 20, verify that each given function is a solution of the differ…

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Q: Consider the initial value problem y': ty (8 - y) 4 , y(0) = y0. a) Determine how the behavior of…

A: Here given  y'=ty8-y4 or dydt=ty8-y4 .......(1)

Q: 4. What is the median of the scores 6, 8, 11, 25, 15, 10, 2, 8, 16? A 2 B. 6 C. 8 D. 10

A: solution :  Options (d) is correct

Q: 10. True or false: a linear fractional transform maps ellipses to ellipses, parabolas or hyperbolas.

A: Solution

Q: Q3/ Compute the first three terms of the Taylor series method to obtain a solution = -xy correct to…

A: We have to solve the given problem by Taylor's method.

Q: 2.5 what is/ I in Radians in toller Following Ama sonal are functions -2720 <212 1 2 noitonut tos a)…

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Q: (3) Find the formula for the number of ways for putting n identical balls into k distinct boxes so…

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Q: (III) Find the Half-range Sine series of f(x) = x sin(x) on (0, 2).

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Q: Use Euler's method with step size h = 0.2 to approximate the solution to the initial value problem…

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Q: 3. A balloon is sighted from two points on level ground. From point A, the angle of elevation is 16º…

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Q: 5. The dimensions of a cylindrical object are increased by a scale factor of 3. The volume of the…

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Q: (a) 2 2 (b) 1 3 11 BE 5 (c) 2 3 LEE 1 4 ○..

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Q: Iff is Riemannintegrable fuction, then prove the following If is Riemannintegrable @fis Riemann…

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Q: If Q, R, S are sets then QU(ROS) and (S-(QUR)) U (R- (QUS))) are disjoint sets.

A: This is a problem of the set theory.

Q: Use variation of parameters to find a general solution to the differential equation given that the…

A: We are given a second order linear differential equation with variable coefficient and two linearly…

Q: Iff is Riemannintegrable fuction, then prove the following Ⓒlft is Riemannintegrable (2) • fis…

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Q: 1. - Solve the below equation using Laplace transform: y" -y=t, y (0) = 1. y' (o)=1 fin 96) 1/s 21/²…

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Q: 2. Given tane = -√√3, 90° ≤ ≤ 180°, the exact value of sine can be written in the form √a b value of…

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Q: 4. Kim has two part-time jobs: A and B. The hourly wage at A is SEK 400 and the hourly wage at B is…

A: We will form a linear programming from given data and solve it graphically

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Q: Determine if the intermediate value theorem applies to the indicated interval, and then find the…

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Q: A resistance of 10 ohms and inductance of 4 henry is connected in series with a 12 volts battery.…

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