dx 2 9 cos? x- sin? x ,2 COS

Q: If (-2, 3), (4, -3) and (4, 5) are the mid-points of the sides of a triangle, find the coordinates…

A: Centroid of the triangle

Q: Question 2 Find the solution. y" - 2y'- 2y = 0 (A y = c,e (1+/3)1 31 +c, Czte (1+V3

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Q: Let X and X' denote a single set in the two topologies T and T', respectively. Let i : X' → X be the…

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Q: If a matrix A E Mn(R) and rank(A) = n, is it true that the column vectors of A are linearly…

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Q: please. 1. Find the area in the first quadrant bounded by f (x) = 4x – x² and the x-axis. 2. Find…

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Q: [(pVq)AT] → ¬p is logically equivalent to A. -p V¬q V-p B. -pA¬q V¬p C. -p A¬q Ap D. ¬(pAg)→¬p

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Q: A (플) n (2프) %3D Cos dt?

A: This is the problem of differential equation.

Q: f"(t) = f(t), ƒ(1) = 0, f'(1) = 1. We also know |f(t)| and |f'(t)| are bounded above by 3+1 over the…

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Q: Use n = 2 to approximate .Determine the error of estimate %3D

A: To approximate ∫01x3dx with sub intervals n=2

Q: A tank that is 5 feet deep, with a square bottom with sides 4 feet each, has 2 feet of water that…

A: Given: Height of the tank= 5 feet The base length of the tank =4 feet Height of water in the tank =2…

Q: Consider the solid torus (the donut-shaped solid shown in the figure) with radii 7r and 2R. a = 2 b…

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Q: Using FPI, find a critical point of the function: f(x) = x? – 2e* cos x With an initial guess, x, =…

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Q: L{2et – 4e4 } O 2(s-6) 52-6s+8 O2 (6-s) 52-6s+8 s-6 82 6s+8 (s 6) 2 6s+8

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Q: 2. T = {m EZ| m 1+ (-1)^i, for some integer i} *

A: Given T=m∈ℤ|m=1+-1i for some integer i

Q: Question 5 Find the solution. dy y dx x A B y = y = 9. D) y = -|00

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Q: Can someone help me to approximate this double summation into an expression that contains a and b?…

A: The value of ab=0.625

Q: Determine the z-transform of the followWing sequences using the z-transform table and the…

A: Definition: Z- transform of a sequence x(n) is…

Q: y 3| 1. Let f(r, y) give the population density, in thousands of insects per square mile, at the…

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Q: Use the following matrices for the next 3 questions |2 -3 4 A= 3 1 -2 det (A · A")

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Q: Find solution using graphical method MAX Z = -2x1 - x2 subject to -3x1 - x2 = 0

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Q: [MO32] Given the function below, f(x) = { 0 0<x<n n < x< 2n find its Fourier a. Cosine Series b.…

A: Given, f(x)=0 for 0≤x≤π cos x for π≤x≤2π  To find: a)Fourier cosine series               b)Fourier…

Q: Determine whether the following function is continuous at the given point x = 6: x2 8x + 12 - x + 6…

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Q: 15, If neZ, then nº +3n +4 is even. (Try cases.) ho bn 6. If two integono

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Q: ed the answer quickly

A: (e) Given,                 110000-210-1073021

Q: a) Find the degree 3 Taylor polynomial T3 (x) for the function f (a) = 4 In() centered at the point…

A: To find the Taylor polynomial of degree 3 for f centred at a=2.

Q: MO21. A particular brand of diet margarine was analyzed to determine the level of polyunsaturated…

A: Given, Sample of six packages - 12.8, 14.3, 11.1, 16, 13.5, 12 To find: 99% confidence interval on…

Q: Q.5 Show that both of the functions f(x)=(x-1)" and g(x)=x' – 3x +3x-2 have stationary points at x =…

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Q: Direction: Solve the function using Bisection Method. Show your complete solution. 1. Show that 3x E…

A: For the solution of the problem follow the next steps.

Q: 2. A factory uses ingredients A, B, C, D, E, and F to produce products I, II, III, IV, and V. The…

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Q: 1 Toys-4-U manufactures a toy that it sells for $30 each. The variable cost per toy is $15 and the…

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Q: Find the volume of a cone generated by revolving about the y-axis the area bounded by the line…

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Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

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Q: Let n 2 2. Assume that Fn is prime. show that Fn = -1.

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Q: Find the fourth degree Taylor polynomial, T4(x), for f(x) at 5. f (2) = 4 In(x – 4) +1 a) Find the…

A: The given function is fx=4lnx-4+1. We know the Taylor Polynomial of 4th degree at x=a is…

Q: Problem 4: Determine the splitting field of the polynomial (r² – 2)(x² – 3)(r² – 4) over Q. Find its…

A: Given,Polynomial : x2-2x2-3x2-4To find: 1) Splitting field of given polynomial                2)…

Q: 3. x'sec'ydy - (1-2x'tany)dx = 0

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Q: Find the general solution of (2x-3y-2) dx-(x-2y)dy = 0

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Q: Determine the number of paths from A to B if you can only move East and South. A B

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Q: The growth rate of a certain bacteria is known to ve proportional to the amount present. 5000…

A: We have to use P=Poektwhere: P = population Po = initial population k = proportionality constant t =…

Q: Find the centroid of the quarter circle x? + y <7, y 2 |x| assuming the density 6(x, y) = 1. (Use…

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Q: 3. Given the equation: Solve the differential equation. Choose your answer from the choices below.…

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Q: f A = - Gaxt 8 9y + 59r and Ux + 8Uy+6 Findie scalar projections of A on B. • vector projection óf…

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Q: The area in square feet of a certain rectangular pen is given by the formula A = 14w- w, where w…

A: Given : The area of a rectangular pen is given by ;  A = 14w-w2 ,  where w is the width. To find :…

Q: A car loan with a face value of Php1,300,000.00 has to be purchasedwith a downpayment so that a…

A: Given that Face value of car is Php 1300000.00 Monthly payment is Php 1500.00 Time t=5 years=60…

Q: *3. The following function is positive and negative on the given interval. f(x) = 9- x2; [0,4] a.…

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Q: Calculate L4 for f(x) = 24 cos () over %3D LA

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Q: 6z+5r+2 What is p'(z) when p(z) = log, %3D Select the correct answer below: O p(z) - 12+5 ০ P(2) = O…

A: Given p(x) = log46x2+5x+2x64x  p(x) =  ln( 6x2+5x+2x64x)ln4To  find p'(x)

Q: Use spherical coordinates to calculate the triple integral of S(x, y, z) = Vx? + y + z? over the…

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Q: Approximate the integral to three decimal places using the indicated rule 1 sin (Tx)dx ; trapezoidal…

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Q: Find the area of the shaded region. r = 3+2 cos 0 r = sin 20

A: We have to find the area between Polar curve.