Find all solutions in {0, 1,2, ..., 12} to x26 + 15x13 = 12 mod 13.

Q: Find the Green function of L[x] = x" on [–1, 1].

A: As per the question we have to find the Green Function of the operator L , defined as : L[x(t)] =…

Q: A chance of 1 out of 100

A: 1 comes only once between 1 to 100.

Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: Activity 1. Write Fif the given is a function and NF if NOT a function, Explain briefly. k) (h m) 1.…

A: Concept: A set is a function if and only if one input have output. Here input cannot be same for…

Q: Calculate x dy dz + y dz dx + z dx dy where is formed by the upper part of the sphere x² + y? + z2 =…

A: To calculate            ∯σ x dy dz+y dz dx+z dx dy where σ is formed by the upper part of the sphere…

Q: the line integral + 2x²ydy + dz) .2,

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Q: H.W.lefind the Laplace hranslorms f the fallowsing funchionssa (a) 3t+4 (6) sinh? 2t

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Q: ) Solve the D.E xy(x²+ 1)dy- (y2 + 1)dx 0 %3D

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Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) +2y 3 ,y (0) = 0,…

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin ( + 0) in…

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Q: Solve the following IVPS using LT method. y' – 4y = 8u(t – 3), y(0) = 2;

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Q: Q1) Evaluate the integral S dy dx using polar coordinate

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Q: Evaluate the following integral using Trigonometric Substitutions Method: 2. y = 1- x dx

A: Here to solve the given integral, we can use trigonometric substitution  x=sin2t

Q: A chance of 75 out of 100 0.5 0.01 0.1 0.75 0.25 O 1

A: To find: A chance of 75 out of 100

Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) + 2y = 3 ,y (0) = 0,…

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Q: Q2) Solve the D.E dy – (2x/1– y²)dx = 0

A: Given differential equation is dy - 2x1-y2dx = 0

Q: . i. Is 221 – 1 a prime? Give your reason. Note 21 = 3 x 7 is not prime. ii. Is 219 – 1 a prime?…

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Q: 1 |9 4|15 7 I| 8 78 63 5 17 4 | 3 5 |7 6 9 8 5 | 7 |9| 3| |1 4 7 4 5 6. 1 1953 4 2

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Q: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.) 5x +…

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Q: Suppose a1, a2, a3, a4, and ag are vectors in R³, A = (a1 | a2 | a3 | a4 | a5), and [1 0 -5 5…

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Q: ion corresponding t + bx) e³× is given by en (a - b) is

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Q: Q Use Newton methad to find f(s), f'ca) 9. 8. to 8. 10

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Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9…

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Q: Q2) Solve the D.E dy – (2x/1– y²)dx = 0

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Q: Fine the 17th,19th and 21st terms of the Fibonacci sequence using this formula fn=fn-1+fn-2

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Q: Q1) Evaluate the integral S dy dx using polar coordinate

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Q: 10. Mary has two part-time jobs, one paying Php 25 per hour and another paying Php 40 per hour. She…

A: 10. Given: 1st jog given 25php per hour. 2nd job given 40php per hour. Php 725 must be earned.

Q: Use the Lagrange multiplier method to find the point on the surface z zy to the origin. O A. (3,3,1)…

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Q: Q3) Evaluate triple integral f, dz dy dx.

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Q: 10 x? + sin(y) = 20 x + 5 y %3D

A: Follow the steps and python script.

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4- y from above inside y = x2 ,y = 4.

A: We have to find the volume of given bounded region.

Q: Consider the system of equations dæ = x(3 – x – 4y) dt dy = y(1 – 3æ), dt taking (x, y) > 0. dy = 0.…

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Q: Solve for the laplace transform x(t)= (cosh4t sin4t)/ (te6t)

A: The given function is x(t)=cosh 4t sin 4tt e6t=cosh 4t sin 4tte-6t

Q: A letter is first chosen at random from the word SAMPLE, and then the next letter is chosen at…

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Q: QI) Evaluate the integral dx dy using polar coordinate

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Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) + 2y 3 ,y(0) = 0,…

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Q: There are x pink straws, 10 yellow straws, and X + 2 green straws in a bag. A straw is selected at…

A: Probability of selecting m things out of n is  p=mn

Q: MTH315 Tutorial Activity 4 Subgroup of a Group Let G be a group, and let a,b be in G. Define the set…

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Q: Q5) Find volume of body bounded by z = 0 from below and z = 4- y from above inside y = x2 ,y 4.

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Q: 7. D is bounded by the surface (r2 + y² + z²)² = a²(x² + y² – 22). %3D

A: We have to find volume where D is bounded by the surface (x² + y² + z²)² = a²(x² + y² — z²).

Q: Exercises: 1) Determine the eigenvalues and the corresponding eigenvectors for the following…

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Q: Find Domain and R ange ニ

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Q: Q5) Find volume of body bounded by = Z O from below and z = 4 - y from above inside y = x2,y = 4 .

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Q: L. RELATIONS Let C= D= {-3, -2, -1, 1, 2, 3} ar For all (x, y) E Cx D, (x, 1. a. Is 2 S 2? b. Is -1…

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Q: 2) 3) 12 4) 5) 미. 미이미。 미 미 미 미우 미위미위 미 미 미유 키4 2_3

A: 2. 2540-2440=140

Q: Q3) Evaluate triple integral f, dz dy dx.

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Q: a) Given the following set of parametric equation x=t? +1, 4y = 8+4t i) Eliminate the parameter of t…

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Q: dy at the point (0,1) given the curve dx 1-y =x. Find the value of 1+y

A: The given curve is                                    1-y1+y=x and in the given problem we have to…

Q: Mrs. Lopez asked a carpenter to construct a rectangular bulletin board for her classroom. She told…

A: Given : Area of the rectangular board is 12 ft. square.

Q: Q5) Find volume of body bounded by z2 + y2 + x2 = 9.

A: Given equation is x2 + y2 + z2 = 9