15. By setting 2 equal to appropriate values in the binomial expansion (or I one of its derivatives, etc.) evaluate:

Q: Let X be distributed as Binomial (3; p). If P(X 21) = 124/125 then P(X = 1)= [A] 12/125 [B] 3/ 8 [C]…

A: Given,A random variable X~Binomial (n=3 , p)P(X≥1)=124125and P(X=x)=nx px qn-x  ; x=0,1,2,....nq=1-p

Q: (x/3y+3y/x)^8 expand using binomial theorem

A:

Q: (2x2 + 3)3 1. (5x3 + 5)3

A: As per the company rule, we are supposed to solve one problem. Therefore kindly repost the remaining…

Q: Use the binomial theorem to find the values of the following V1.001 , correct to six places of…

A: We know that , ( 1 + x )n  = 1 + n x + ( n ( n - 1 )/ 2)x2 + ......

Q: pair of these integers with a sum equal to 9.

A: Let us take set under consideration {1,2,3,4,5,6,7,8}Possible pairs {{1,8}, {2,7}, {3,6}, {4,5}}…

Q: Q1) Determine the halve range odd expansion of the function whose definition is: 0≤x≤1 f(x) = 2-x…

A: Given function is f(x)=1,        0≤x≤12-x,   1≤x≤2 Halve range expansion series is the Fourier sine…

Q: п — h n

A:

Q: Which is the correct expansion of (x+4y)^3 using the binomial theorem?

A:

Q: Determine the coefficient of at in (1 – 4a²)ó by completing the following given steps.

A: Concept:

Q: Expand 19+4x in ascending powers of x up to the term in x' and determine the interval of x for which…

A:

Q: What is the “binomial coefficient of (11/7)? calculate. show how.

A: Given information- We have given- (11/7) = C711 We have to find the binomial coefficients.

Q: 15. Suppose X - Bino(2,). Find P(X = 0|X < 1). (а) 3/4 (b) 1/4 (c) 1/2 (d) 1/3 (е) 2/3

A:

Q: constant

A:

Q: Let n be a positive integer. The coefficient of x°y° in the expansion of (1+ xy+ y²)' equals

A:

Q: Use the first four nonzero terms of the binomial expansion for (16 — x) to find an approximate value…

A: We know ⇒1+xn=1+nx+nn-1x22!+nn-1n-2x33!+.....

Q: Which of the following expressions is NOT equivalent 36 ? to x

A:

Q: Use the binomial theprem to expond (xty 5. Hence find the valué of 32(2) 243 from the exgansian of…

A: Consider the binomial expansion formula, a+bn=∑r=1nCrn·br·an-r Substitute a=x and b=y in the…

Q: *8.4.13 Multiply using the rule for the square of a binomial (x - 2)² (x-2)-

A: We have to find the square

Q: Find the coefficient of the term containing x' in the expansion of (2x-y)°.

A: Binomial theorem

Q: f(x+h)-f(x) 5) Simplify the difference quotient for f(x) = x+ using the Binomial Theorem. h Show…

A: Quotient using binomial expansion

Q: Calculate the binomial coefficient. (13'

A: To calculate the binomial coefficient

Q: . Let n be a positive integer. Prove that 1 · ( n/ 1)  + 2 · ( n/ 2)  + . . . + n ·  (n/ n) …

A:

Q: Prove that In (1tx) Lx for without using the value the orem. mean

A:

Q: What is the expansion of the binomial expression (x + y)⁵ ? What are the binomial coefficients?

A: Solution of given question is written in below steps.

Q: Use the binomial expansion to find the order of the following ex- pressions as x → 0. x3/2

A:

Q: obtain the binomial expansion of (1-2x)^5 and use it to evaluate(0.98)^5 correct to 5d.p

A:

Q: 6. Find the coefficient of x* in the binomial expansion of| 3 , if exists. 4 2.x

A:

Q: If r2+ 2r –1 = 0 is the characteristic equation of a homogeneous D.E. with constant coefficients,…

A:

Q: Find the x^2y^3 term in the expansion of (3x + y)^5. Simplify your answer so it does not include any…

A: Given that (3x+y)5

Q: ange the functions √, 1000 log n, n log n, 2n!, 2",3", and 1,000,000 in a list so that each function…

A:

Q: Approximate In 2.75 using Maclaurin expansion. (Hint: Use y = In(x + 1) for reference function.)

A: Given y=lnx+1 Let n=4 (initially)

Q: Use the Binomial Theorem to expand the expression (3x + 2y). Show your work.

A: