6) If d +1 is the smallest positive divisor of an integer n, then d is prime. a) True b) False O a) True O b) False

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A: Given f(x) = 3x2 + y2 - 2xy Constraint: x + y = 6

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A: Solution:   SAMPLE SPACE IS :H-H-HT-H-HH-T-HH-H-TT-H-TT-T-HH-T-TT-T-T

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A: Polar coordinates are r and thetha Let x = r cos thetha y = r sin thetha So x² + y² = r²

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

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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…

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

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Q: 1- x dx y =

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Q: solve to find y and x, take y(0)=0 and x(0)-1 ý + y- 0.5x = 0.5 * + 0.5x - y = 12 %3D

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Q: 1 2 3 4 5 6 Y 4 10 10 8 3

A: Here follow the python code.

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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: Consider the solidas bound below by 3 = N3(*2+y?), above by 2-1= N=-x2-y2 Its volume v es); O The…

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Q: Q38: If y = e2* sin 5x, then which of the following is true? e (a) y" – 4y' + 30y = 0+ - (b) y" –…

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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

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Q: True / False (no work needed): Approximating the integral x* – 5x² +x dx with Composite Simpson's…

A: TRUE , because error in the Simpson's 1/3 rule us of order h4.

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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: Q10: Following are the differential equations and their respective solutions. Select the incorrect…

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Q: Three coins are tossed, what is the probability of the showing at least one tail? Your answer

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Q: [a, b, c If Aj = [di e, fi] [a, b2 c2 A2 = [d2 e2 a3 bz c3 Az = [d3 ez f3] and are any 2 x 3…

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

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

A: