Mr. Farison gave his class the three mathematical rules shown below to either prove or disprove. Which rules can be proved for all real numbers? 1. (m+p)2 = m2 + 2mp + p2 I. (x + y) = x³ + 3xy+y %3D II. (a? + b?)2 = (a² – b²)² + (2ab)? A I and II I and II C 1, only D Il and II

Q: Q3- Find the numerical value of §. xdz, if c = c, + c2 + C3.defined in the given figure. (2,2) C2…

A: We will find out the required numerical value.

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A: Given: 2x - 3 = 7 --------------------------------------------------- To determine: The reason for…

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A: Since, the distribution is the standard Normal distribution. We want to draw the region.

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Q: 2. Which of the following expressions is 2y 3x, equivalent to X y 2y² -3x2 А. ху 3у²-2х2 B. xy 2х²…

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Q: 30 Given that (1 – x + 3x?)15 = ana" 30 = ao + a1x + a2x + ... + a30x. %3D n=0 (a) Find ao. 30 (b)…

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A: Given: I=∫02∫x213xey3dydx The region bounded by the curves y=x2, y=1 from x=0 to x=2

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A: A=x:x2-1=0B=x:x2+x-2=0C=x:x3-x2=0 Then we have to evaluate A∪B∩C.

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A: From the given figure, it is observed that the opposite side is 12, adjacent side is x and the…

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A: We need to use similar triangles formulaes to solve this question.

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Q: P = R-C, for R %3D N

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A: Given that X is Nμ=3, σ2=4 i.e. X~N(μ=3,σ=2) Then Z=X-μσ follows standard normal distribution i.e.…

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A: In this case the family decodes to have children until it has three children of same gender.

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A: Given Given: p= 90+5t⁶+kt⁷9t-t³+t⁷

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A: Basic probability

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Q: 16. There ar three integers x, y and z such that xSys258, x+y+z%=12 and xy+yz+zr=27. What is the…

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Q: The set of all solutions to y" = 5x + e** is given by 1 a) OC,x + 16 e* + C2 4x b) O 5x + e** + C1x…

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Q: nx2 + 5 fr X E R for Let f,(x) = NENand %D 4n +3

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Q: Suppose that Eaz = -5 and b = 6. Find the values of %3D k= 3a c. (a + b) a. b. k=1 d. (az - bi) k=1…

A: We have given: ∑k=1nak=-5 and ∑k=1nbk=6. (a). To find ∑3k=1nak. Property of sigma is:…

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A: Lagrange interpolating polynomial for n=2 is:…

Q: 7. Given: 8x - 5 = 2x +1 Prove: x = 1 Statements Reasons a. 8x - 5 = 2x + 1 a. %3D b. b. C. Additien…

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Q: Given n(x) 3D х + 5 and p(x) 3D x?+ 3х - 10, find: а. (п - р) (х) + Зр (x) b. n (x) p (x) с. (р е п)…

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