How many strings of length two can be formed by using the letters A, B, C, D E and F without repetitions?

Q: 3 By direct partial integration, Solve the following PDES 8- X²Z ахду 4 JZ = 0, Z(X₂0) = x² + x, Z…

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Q: F1. Find f(x) Ax B = {} A = { B = { 1 Ax B = {(7,22), (8, 25), ( 10, 31), (12, 37), (13, 40)} 00…

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Q: Q1: A craftsman has three identical boxes, each with two identical drawers. In the first box, one…

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Q: Find the upper Riemann sum U(f, P) and the lower Riemann sum L(f, P) for each of the following…

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Q: Find the Laplace transform L (cosht cos²t) @ & L (sinhst cashet) (2 3 L (sin't cos't)

A: Here we use the conversion of hyperbolic function to exponential function. And use some…

Q: 8. A frog is at the bottom of a ten feet well. Each day it crawls 2 feet and loses its grip and…

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Q: 6 By separation of variables, Solve the following 5 PDES :- du dt = 2 d24 dx2 © o U (0₂t) =(4,t) U…

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Q: Let L(y)=(x-1)y" - xy + y a) with the observation that y, zx is a solution of L(4)=0 on (1,00), by…

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Q: Consider the differential equation " - 4y + 5y = f(t). such that y(0)=0 y y'(0)-2. The function f(t)…

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Q: 00 10x Find a power series for f(x) = |x|< 1 in the form " an. (x² + 1)² n=1 Hint: First, find the…

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Q: Use Cartesian coordinates to evaluate [[[ 3² a dV D where D is the tetrahedron in the first octant…

A: Plane  3x+2y+z=6in first octantz : 0→6-2y-3xy=0→6-3x2x=0→2 Draw the graph

Q: 10. Write and simplify the integral that gives the arc length of the curve y = x³ +500 for -1 ≤ x ≤…

A: Consider the equation of the curve, y=x3+500 for -1≤x≤2. the arc length is defined by the formula,…

Q: Let p= "It is extremely humid." Let q= "It will rain tomorrow." Convert into symbols: a. "If it is…

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Q: 4. Solve the following 2nd-order OPES (5 Steps) day - (22) + (4-1) dy dx² Y(0) = 4 , y(0) = 1 y cas…

A: We can solve this using euler method of second order differential equation

Q: Give example of projection in Functional Analysis

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Q: Find the volume of the region in the first octant bounded by the coordinate planes, the plane y+z=8,…

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Q: What is the probability that a positive integer selected at random from the set of positive integers…

A: Given:   What is the probability that a positive integer selected at random from the set of positive…

Q: Use iteration to guess an explicit formula for the sequence defined by an = an-1 + n for all…

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Q: * Please write explanation and don't use calculator Consider a damped spring-mass system with ? =…

A: Given,m=1kg, k =4kg/s2 ,b =5kg/sand ω=2rad/s

Q: Question 1 All statements below are false. Provide a counterexample of f and g each. (a) If f + g…

A: (a) Consider fx=-1x≤11x&gt;1 and gx=1x≤1-1x&gt;1 It is clear that fx and gx are not continuous at…

Q: 2₁ "+21y+8x=y" + 5y' + ex

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Q: Let C be the arc of the circle [2] = R from z = R to z = -R Where R is a positive integer greater…

A: Given C be the arc of the circle z=R from z=R to z=-R, where R is a positive integers greater than…

Q: Q1) Evaluate whether these statements are a tautology or not: 1) (pg) → (~q"p). 2) If p and q, then…

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Q: Ronnie goes to the racetrack with his buddies on a weekly basis. One week he tripled his money, but…

A: Given that Ronnie goes to the racetrack with his buddies on a weekly basis.

Q: 17. Ancient pyramid The Pyramid of the Moon at Teotihuacán in Mexico has a rectangular base. The…

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Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

A: Note: According to Company Guidelines we are providing the answer of first question. Kindly post…

Q: ди dt = 2 d2u dx2 • o U (0₂t) =(4,t) = o u (x,0) = 25 X

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Q: Q5(a) Let f(x) be a periodic function with period 4 such that f(x) = {2; 0<x<2 2<x<4 (1) Find the…

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Q: If 4 peaches cost $1.10 what will 6 peaches cost

A: Given, 4 peaches cost = $ 1.10 1 peache cost = $ 1.10/4                            = $ 0.275 Now, 6…

Q: 19. f(x, y, z) = x² + y² + 2², holds 2x + y + z = 1, -x + 2y3z = 4

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Q: Does the following series converge or diverge? 4√√n Σ 3/2 10n +7n+7 n=1 O The series diverges. The…

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Q: 7) A can of soda with a temperature of 56 degrees Fahrenheit is placed in a refrigerator which is…

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Q: 4. Solve the following 2nd-order OPES (5 Steps) day - (d dx² + (1-1) dy Y(0) = 4 Y(0) = cas / h. A

A: Let us solve the given 2nd - order ODE using Euler method in the next steps.

Q: (2) Use contour integration to compute the following integrals. 2π (a) √2 cos(20) dv 5 + 4 cos v dx…

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Q: 16. Measurement Given the perimeter, P, and the lengths of two sides of the triangle, find the…

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Q: Q4: Let X be a discrete random variable with probability mass function given in the following table:…

A: 1. Value of C For a discrete random variable X the sum of the probability mass functions is 1 That…

Q: 14. Find the cube root of 15 correct to four significant digits by Fixed-Point and Secant methods.…

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Q: determine the diagonalizing matrix: X1 = λαι X2 + X3 = λχη – X2 + X3 = λx3

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Q: Question 3 Given an example of a function f that satisfy the following conditions respectively. (a)…

A: a) Defined on ℝ but not continuous at any point of ℝ. b) Defined on ℝ and continuous at exactly one…

Q: 7) A can of soda with a temperature of 56 degrees Fahrenheit is placed in a refrigerator which is…

A: We have to find (a) What is the differential equation that models this problem.  and  b) Find time…

Q: Let p= "It is extremely humid." Let q = "It will rain tomorrow." Convert into symbols: a. "If it is…

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Q: Calculate the value of the line integral fds where f(x,y,z)=e² and C is described by C (x, y,…

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Q: Use mathematical induction to prove that for all integers n ≥ 1, 6" 1 is divisible by 5.

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Q: A. A television (TV) set is for sale at P13,499 in cash or on installment terms, P2,500 each month…

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Q: Find the particular solution to the differential equation: 2(y')² ( y" = 1- when +3) x = 0, y = 1…

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Q: olve parts c

A: Given that the fish and game department in a certain state is planning to issue hunting permits to…

Q: b). Using an appropriate triple integral, evaluate the volume of: [Verify using Mathematica] i).…

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Q: Give example of perpendicular projection in Functional Analysis

A: This is a question of Functional Analysis.