2) Use properties of circles, triangles and/or angles to find the following. (Not to scale). 120° Arc AB =120° 80 A) Find arc AC. B) Find angle B. C) Find angle C. D) Find angle A.

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Q: 2x –1 1 , show that y"+ y' + xy +1 c) If y =-

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Q: Find the present value of an annuity of $5000 paid at the end of each 6-month period for 2 years if…

A: Solution

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

A: We have convert the given problem into polar coordinates.

Q: Suppose an urn contains 10 marbles: 4 are white and 6 are black. We will draw marbles randomly,…

A: First four are whack which means they are white and one of the first 5 drawn marbles.

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A: We are given the following table.  t 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 y 0 0.25 1 3 6 10 15…

Q: Q2/ Fit a second - order polynomial to the data in the following table: 5 6 4 2 9 7 Y 2 8 3 4 -1 8 4

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

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Q: 3+ V9 – 4(3 – i) 21 3+ V4i – 3 - 2 How do you solve for the equation above ? 2.

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Q: Find plane area inside polar function r 2 and outside polar function r= -2sint in thisd quurter.

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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: 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: Q4) Find plane area inside the polar function r = 2 and outside polar function r= -2cose in second…

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Q: Let f(r) = . (a). Find the average value of f on [0, e]. Use six decimal places. (b). Use Newton's…

A: Given that fx=xex2 (A) To determine the average value of f(x) on [0,e]. (B) To estimate all points…

Q: Prove that the series diverges at x = 3 (Limit Comparison Test) Prove that the series converges at x…

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Q: If uxv=uxw, u 0 then Ou=v+ kw None of the choices O v= w+ ku O w=u+ kv

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Q: Q4) Find plane area inside polar function r 2 and outside polar function r = -2sine in third…

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Q: Q3) Evaluate triple integral f, S, ya(x² – y²)dz dx dy.

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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 2…

A: Given: x f(x) 1.7 0.397 1.8 0.339 1.9 0.282 2 0.224 To find: f(1.72) from the given…

Q: solve the equation by Newton -Raphson Method: F(x) = x* – 5x³ + 65 , start at x =2, accuracy =0.001

A: Newton-Raphson method :

Q: Example: Fined all eigen values and eigen vectors of the matrix and check that P'AP is diagonal…

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Q: Find a set of vectors {u, v} in Rª that spans the solution set of the equations { y + 4z 0, - 5w +…

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Q: Q2/ Fit a second - order polynomial to the data in the following table: 5 1 4 7 Y 2 8 3 4 -1 4 6 00

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Q: A class adviser surveys 35 of his students on the kind of pets they have at home. He found that 15…

A: We want to find number of students have none of given pets.

Q: A card is drawn from a well-shuffled deck of cards. Find the probability of drawing a heart

A: We have to find the probability of heart in deck of cards.

Q: Q2: Find the integration by applying substitution method: 7 dX (X - 1)VX- 2x - 48

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Q: Q4) Find plane area inside polar function r = 2 and outside polar function r = -2sine in third…

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

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Q: 1.5 3-y Q1) Evaluate the integral S dx dy using polar coordinate 'y

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Q: 4-y Q1) Evaluate the integral Ny dx dy using polar coordinate

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Q: (a) Prove that the product of two even permutations is even.

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: In Exercises 9 and 10, find the change-of-coordinates matrix from B to the standard basis in R". 10.…

A: We are given the basis B.

Q: 5. Find the radius of convergence for (a) (b) Č (1 +) n2 + 5n + 3i" z" (c) an 2n + 1 n-0

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Q: = find area inside r=2cose and outside r 1?

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Q: A firm sells a product for $80 per unit. Raw material costs are $12,50 per unit, labor costs are…

A: a) To determine: The profit function: It is given that x are the sold units. Now we know that,…

Q: A house is rented for $6,800 per quarter, with each quarter's rent payable in advance. If money is…

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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: sin x – e-* = 0, [0,1]

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Q3) Evaluate triple integral S S dz dy dx.

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Q: notice that the ci cle e a cherd sL a ar ele u a line me wtate se gmni corne etıng iuo pents Jo pick…

A: Q1) The CDF for r here is obtained as:F(r) = P(R <= r) As the point is uniformly distributed over…

Q: Consider the system of equations #--(1--) da dt *= (1 ---). dy dt 3 taking (2, y) > 0. (a) Write an…

A: We have to define the x and y nullclines and equilibrium points . We will see the trajectory in hase…

Q: Aーy? QI) Evaluate the integral dx dy using polar coordinate

A: To find integral using polar coordinate .

Q: Q3) Evaluate triple integral S" dz dy dx. x-y

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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.

A: Volume bounded by xy-plane

Q: Give an example of each of the following: • A function f e L²(T) and a point where f(x) does not…

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Q: Find the real eigenvalues of the matrix [-11 -14 -10 1 -1 A 4 -1 6. 3 4 -1 4 The real eigenvalues…

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Q: Find in side r=2 aren oul sde r=l+ Ges 6

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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: x³ – 2x? – 5 = 0, [1,4]

A: Reframe the function and find the term for x.