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Q: Draw two cards without replacement from an ordinary deck. What is the probability of the event that…

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Q: SOLVE X²y" + xy² - (4x² + 1 ) y = =0 BY BESSELS METHOD.

A: As per the question we are given a second order linear homogeneous differential equation and we have…

Q: Use Euler's method (with all details) to find approximate value of = 2y - 2x² -3, given that y = 2…

A: Given y'=2y-2x2-3 , y(0)=2 , h=0.3. We find y(3) by using Euler's method.

Q: 4-compos dx dy 5-find dry if f(x, y) = xe xe 6- find (x²³/2)

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Q: A family has 5 children and the probability of having a girl is Find the probability that the family…

A: Given: In a family of 5 children, the probability of having a girl is 1/2. To Find: Probability that…

Q: et f: (a, b) → R. If f'(x) exists for each x, a < x <b, prove that f is continuous there.

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Q: A small rocket is launched straight up in the air at a speed of 4ft/sec. A camera on the ground, 10…

A: Consider the given information. At any time t, rocket is at C tanθ=ACAB=AC10

Q: Using the Buchberger's Criterion, determine whether the following sets -bner bases for the ideal…

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Q: If Nx - My = R, where R is a function depending only on the quantity z = xy, then the differential…

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Q: Give the Laplace transform of the solution of a) Y = b) Y= c) Y = d) Y = e) Y = f) None of the…

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Q: Draw a direction field and plot (or sketch) several solutions of the differential equation y' = -y(6…

A: Given differential equation is y'=-y(6-ty) Direction field of given equation is

Q: (1-6 (1-5 (1-5)

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Q: : Find the Laplace transform F(s) = {f(t)} of the function f(t) = (8-t) [U(t-4) - U(t-8)].

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Q: 3.) f(t) = ½ (4-3) ² u(1-3)

A: Laplace transform of the function

Q: Question 9 Give the Laplace transform of the solution of a) Y = b) Y = c) Y = d) Y = e) Y f) None of…

A: 9.

Q: Q Using the very simplex method, all optimized for the following linear programming distributor Min.…

A: The given L.P.P problem is                                  Min z=20 x1+15 x2subject to        2…

Q: The perimeter of a rectangle is 190 meters. Express the area A as a function of the length L, and…

A: The solution is given as

Q: In order to save for her high school graduation, Zeinab decided to save P200 at the end of each…

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Q: find the power series of costix.

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Q: 3. Consider the function f: ICR → R that is continuous and strictly increasing on I. Then the…

A: True.

Q: Let f(x) = x and I = [0, 1]. If P is the partition  P of [0, 1] be given by P = {0, 1/8, 1/4, 1/3,…

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Q: GET THE EQUATION OF THE GRAPH f(1) 7+ a 20 39 49 4. 59

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Q: 85- Find all automorphisms of D3 B

A: To Find: All Automorphisms of D3.

Q: If X = [3 314; 0011; 0124] find the mode (x) [0 214] O [0012] O [0013] O [0014] O

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Q: 4. 2100 +3123 is divided by 11

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Q: Prove that the general solution of the differential equation √√1+cos(t) d0=(√1 + cos(t) — t sin(t)…

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Q: f(4) ㅇ 20 39 49 ZA Sa t

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Q: Obtain linearly independent solutions for each of the following differential equations: 2.3…

A: Solution 2.3: Given differential equation is xy''+y'+x2y=0       (1) Let the solution be, by…

Q: Prove the following relation in the vector triple product : Ax(BxC) + Bx(CxA)+Cx(A x B) = 0

A: The answer is given in handwritten form in the step-2 box. Please check it.

Q: A = $50

A: Given as,

Q: 23// Use Newton-Raphson Method to solve f = -x²+x+0.75 for 5 iteration (choose 4-decimal places).…

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Q: Let y'= - ty + 0.1y³ and y(0) = 0.70. Use Euler's method to find approximate values of the solution…

A: Let us find the approximate values of the solution of the given initial value problem by Euler's…

Q: Use the button on your calculator. T volume of the cylinder is d to the nearest hundredth as…

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Q: Let f(x) = x and I = [0, 1]. If P is the partition given by P = {0, 1/8.1/4, 1/3, 2/3, 3/4, 1} and…

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Q: -2+√1-x

A: This is the question from set and function.

Q: My - N N If = Q, where is a function of x only, then the differential equation M+Ny = 0 has an…

A: The given differential equation is (9x2y+2xy+3y3)dx+(x2+y2)dy=0. To find: Integrating factor. To…

Q: The graph of y = f(x) is given below. Th 0 2 Which statement is true? O f'(5) < f'(-2) < f'(1) O…

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Q: 2x² + 3x lim xx0x³ + x + 1

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Q: 册 6 a 20 39 + 49 t 好 664 下

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Q: B- The derivative is y = In (sec (In 0))

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Q: 1. Find the Fourier sine and cosine series of f(x) in each case. a. f(x) = = π − x on [0, π], [Hint…

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Q: Solve the following formula for t. A=M+Mrt t=

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Q: Find the area that enclosed by the circle r-2sin 0 for 4 ≤ 0 ≤T/2 | (+-#) V=2sin o ty

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Q: part

A: Here part C and D are both same.

Q: Q1:Convert the Cartesian equation x²+(-a)- a to polar equation (20 marks) Q2: Check the symmetry and…

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Q: mparison betw

A: The comparison between the path and state functions are given below, 1. Relation to path - State…

Q: An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds…

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Q: Sollve the Differential Equations Y4y+4y=Sinhx

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Q: Q2// Use Euler's method (with all details) to find approximate value of y when dy = 2y - 2x²-3,…

A: We have to Use Euler's Method to find the approximate value of y when x=3 of y' = 2y - 2x2 - 3 given…

Q: X e. (1 + x + X/21 + X²/31 -)-(1-X + X ²121 - X/31 --) + 2 5 2x+2 +2+- 3 5 3! 2 (2n+i)' 8 EX n=o…

A: To find the power series of coshx