Show that PLEU FUG) = P(E) + P(F) + "P(G) - PLENF) - P(ENG) - P(FNG) + P(ENENG)

Q: 10g C-x)=)

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Q: Simplify: x6.y2.z3 3) x4.y4.z2 4) — (х3)0

A: Given that: 3. x6.y2.z3x4.y4.z24.-(x3)0

Q: Find dy dx 5x 11 100

A: The given function is: y=5x8   As we know that; The Power law; ddxxn=nxn-1 And a·f'=a·f'

Q: Find the midpoint between (-2,5) and (6,4) * O (2,9/2) O (6/4,6) O (3,-7) (-4,-9)

A: Solution

Q: Q1:a\ Show that a₁ a2 b₁ b₂ ₂x+d₂ c₂x+d₂ b3 c₂x+d₂| a2 xb₁ b₂ b, C₁ C₂ C3 Ja, a2 + b₁ b₂ by d, d₂ d

A:

Q: you please also do (d), (e), (f)?

A: Solution:-d) p(x<1)= e)

Q: (c) Try two ways: using the 1) quotient rule and 2) power rule. dt

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Q: Evaluate: de (1-a)

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Q: IEvaluate Ax)-2x+3x-4 A) x-3 B) x-h+/

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Q: (x- y)(x* + xy + y°)

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Q: (2x+1)2= 10x - 1 options: A). -5 B). -5/2 C). 3/2 D). 5/2

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Q: If X ~ Bin(12,0.7) then calculate:  P ( X= 9) P ( X> 10)  P ( X£ 11)

A: Let X be the random variable from binomial distribution with probability (p) = 0.7 and sample size…

Q: FInd the following. (0, 1), v = (5, –2) u = (a) |삐 (b) ||v|| (c) |u + v|| (d) (e) u + v (f)

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Q: Proxx BA (UxAx) = Ux (BO) Ax

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Q: (D) 1,x+27y= I.

A: The objective is to fill in the blank with appropriate answer.

Q: 3x + 9x2 + 27x + 81x + 243x + ..

A: Find the radius of convergence

Q: fu)=5+5X6 find inverse

A: Here given function as fx=5+5x-6 ; x≥65

Q: Perform the indicated operation 51. If f(x)=x²-5 and g(x)=2x-3 find: axf+g)(x) @bxf-9xx) c) (f.…

A:

Q: Evaluate

A: We will factor 36 first 36=2x2x3x3 Then use it to simplify Used sqrt(-1)=i  Answer(a): 6i

Q: what the factored form of the 1s ellowing expressons? O d? +5d -24 a.) (d+ 3)(d+8) b) &+3) (d-8)…

A: Split the middle term to factorize the polynomial.

Q: Compute: (1, 2, 3) ·(-2, 1, 0)

A:

Q: What equation is equivalent to y=9(2x)? a.) y=9e(2inx) b.) y=2e(xin9) c.) y=9e(xin2) d.)…

A: