A city planner makes a scale drawing.oroposed playground. The length of the actual playground is 78 feet, and the width is 42 feetSuppose a scale of 0.5inch = 6 feet is used. Which dimensions represent the playground on the scale drawing?

Q: Use Newton Raphson method to approximate the root of the function: f(x)= x³ - 2x -3 at xo = 1 What i...

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Q: Knowing that 198 is not a term in the Fibonacci Sequence, what Fibonacci term (number) is the closes...

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Q: Without using the truth table, show that the given below is logically equivalent: -[p v (-p ^ q) = (...

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Q: sin(2 – 3i) cos(3 – 2i)

A: Sin(2-3i)= 9.15449915 + 4.16890696 i And cos(3-2i)= -3.7245455 + 0.51182257 i

Q: Use the second Taylor polynomial P2 (r) for f(z) = r? + In(1 + z) about zo = 0 and evaluate S f(x)dr...

A: we have given f(x) = x2+ln(1+x) we have to find second Taylor polynomial for f(x) about x0 and then ...

Q: I Solve the differential equations ( xy -6x²) dy - ( 2y2 9xy) dx when x=1, Y=

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Q: Why you can't divide by zero? You don't need to be epsilon delta format about it.?

A: We have to tell the reason for not dividing a number by zero. For this, we have to give the definiti...

Q: Analyze in detail the curve r=cos(kθ). HINT: begins by showing that for the cases k = 0 and k=1 a c...

A: We are given the curve,  r=cos(kθ), k=0,1,2... We need to analyze this trigonometric for different v...

Q: Set up a definite integral to find the volume of the following solids using the method of slicing (c...

A: Given the cylinder has water with a depth of 3 feet, a length of 12 feet and a diameter of 8 feet. S...

Q: 2- Determine the equations of all asymptotes for the function f(x)=(2x++13X³-3x²- 82x+40)/(x³+2x²-11...

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Q: Determine the value of the following: a. F15 + F10 b. (F7+F8+...+F16)/11= Fn , what is n? c. F35

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Q: 3. Below is the graph of y = f'(x), which is the derivative for some function f. Using the graph of ...

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three sub-part...

Q: Q1. Find an approximation to V9 using 4 steps Bisection Algorithm

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Q: 1. For the given functions f (x), let xo = 0, x1 = 0.6, and x2 = 0.9. Construct interpolation polyno...

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Q: 1. A closed box, with a rectangular base, whose length is twice its width, is to have a surface of 1...

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Q: Use the Trapezoid rule to approximate: dx; n = 8

A: Since you have asked  multiple questions  so as per guidelines we will solve the first question for ...

Q: 1 Considered the area of a trapezoid is 50 sqm and the height is described by a number. Bases are de...

A: We can solve this by calculating first area then apply bisection method to calculate roots

Q: A telco company will launch a new smartphone model. They want that the length and width of this smar...

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Q: АСTIVITY 3 Direction: solve and analyze each of the following problem tn neat and orderlu men Determ...

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Q: In integrating the function fx con(3x) de using integration by parts, what would you choose for your...

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Q: (d) Compare the results of part (b) to the optimal solution contained in the text. Comment on the ro...

A: Solution: Objective:       Minimize T. Step 2: Select the modeling approach. We will model this pro...

Q: Consider thế iñifial a. 2y"- 30y" + 150y' – 234y = 0, b. y"+ 6ay' + (9a² + 1)y = 0, y(0) = -3, y(0) ...

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Q: D Question 2 1.5 pts The cost C to produce X number of CDs is C = 50 + 10X. The CDs are sold wholesa...

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Q: 1 - 2 2 4 C = 3 4 – 2 -2 –2 3 3.

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Q: 1) On the table of Laplace Transforms, you might see the formula L = ett sin(bt) (s-a)²+b? . Without...

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Q: let S(x) be its Fourier series. use Dirichlet’s theorem, Find values of S(0),S(1),S(−2), and S(2)?

A: conditions for existence of fourier series i.e., dirichlet conditions 1.signal should have finite no...

Q: 5. * + 9x = cos 2t

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Q: The number of women in the workforce, based on data and projections from 1950 to 2050, can be modele...

A: 1950 to 2050 18.4 million in 1950 and 81.6 million in 2030.  Let x represent the number of years aft...

Q: Q.1. Justify why the level curves very close to the origin (0, 0) for the function f(r, y) = (1-)(1-...

A: To find the level curves, equate the function fx,y with a constant C.

Q: Decompose the given matrix as indicated: [25 5 0 0 141 0 0 4 1 U12 13 10 8 16 = 1 12 22 (31 (2 1 0.

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Q: The general solution of the DE: In-3y dx -y-le-*dy=0 js (A e 3x – 31n?y=c e 3x + In³y=c 3e 3x – In³y...

A: To solve the problem, first we will separate the variables x and y from the given differential equat...

Q: Solve.' y'- 5y y°e* - xe ニ CS

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Q: Q (3). In a dynamical system, given a system of linear differential equations as: x;'= 3x; +3x, - 6e...

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Q: v2 – 4v = -1.2975 – 2.1i

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Q: Calculate for one real root of tan a = 4æ with ao = 1.2 up to four decimal places using the Newton-R...

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Q: So lue ty'= (2x -1)

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Q: Let w = e®(z+=) dy ^ dz+e" dz ^ dæ + e(z =) dæ A dy be a two-form on R³, and o : (IR>0)² → R³ be the...

A: Given: A two-form on ℝ3, ω=e8x+zdy∧dz+e-ydz∧dx+e6x-zdx∧dy A smooth function ϕ:ℝ>02→ℝ3, where ϕu,v...

Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

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Q: Problem 1. Let 1 2 1 3 0 1 1 1 –1 A = 1 3 2 0 1 (a) Find a basis for the range of A. (b) Find a basi...

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Q: 2. y = 3x - 8x3 + 6x2

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Q: In this exercise, you will prove that PMI is logically equivalent to PSMI; in other words, given PMI...

A: (a). Let Pn be a statement about positive integer n. Assume that PSMI is true, therefore: P1 is tru...

Q: The electrostatic potential generated by a distribution of electric charge in R3 with density p : R³...

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Q: Express the solution of the given initial value problem in terms of convolutional integral. A. y/" +...

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Q: A*B=C and B*A=D -11 A = 12 -13 11 B = 15 -16

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Q: In integrating the function fx cos(3x) dx using integration by parts, what would be your v?

A: Solution

Q: How many ways can you arrange 6 of 11 different books on a shelf?

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Q: 9. Given the figure below, what is the measure of NO? * B 360 A 36 см M 16 24 30 60 x+ 14 3x - 18

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Q: Question 2: Determine the EXACT solution of the system given below using any method discussed. 5х — ...

A: We can solve this using Gaussian Elimination with Back Substitution 

Q: sec(2e 1.58)

A: Solution

Q: (10+ 201)и + vi %3D - 48 + 3391, (8 — i)и + (1 — 8i)v %3D 18 — 24i

A: