2. Find the interpolating polynomial using NDD of the points (0,0) , (1,16) , (2,48), (4,88) and (5,0)

Q: Show that: If |z| = 1, then: z' + 4z + 5 z2 + 5z + 6

A: Given: z=1 Then show that: z3+4z+5z2+5z+6≤5

Q: What is the coefficient of x²wa³b in the expansion of (x+y+w+a+b)??

A: To determine the coefficient of x2wa3b in the expansion of x+y+w+a+b7.

Q: 2. If mZMKL = 83', MZJKL = 127', and MZJKM = (9x – 10)", find the value of x. M. K

A:

Q: b such that the surf 4x2y + z3 = 4 cut -1 ?). %3D

A:

Q: What is the coefficeint of a²b³cª in the expansion of (a + 2b + 3c)® ?

A: In the given question we have to find the coefficient of  a2b3c4 in expansion of a+2b+3c9

Q: (Q. +,.) is a subfield of (F = {a + bV5: a, b e Q}, +,.); (F = {a + bv5: a, b e Q}, +,.) is a…

A: A non-empty subset F' of a field F is a subfield of F if F' is closed with respect to the…

Q: 1) Use the chain rulc to find the deriva five of fcx) = 4(-3x6+7x5)7 You do not necd to expand…

A:

Q: Find the coefficient of x5 y8 in (x + y)13.

A: Binomial theorem(x+y)n=∑j=0nnjxn-jyj

Q: 2. Compute the value of | V25–x² dr

A: Given data:   The given integral expression is I=∫0525-x2dx.     Assume x=5sint, and differentiate…

Q: In Exercises 15-27, multiply the polynomials. 15. (4x yz)(-3x+yz?) 16. a( - 4r* - 2) 17. 7xy (3x*y?…

A: The multiplication of two algebraic  expression is done by multiplying each terms of one expression…

Q: df Catx) is expandad

A:

Q: Find the term in the expansion of (x2 + y2)5 containing x4 as a factor.

A: The given expression is x2+y25 To find the term containing x4 as the factor

Q: What is the 2nd term in the expansion of (3z-4y)9

A:

Q: If B' is of order 2x3 and BA is order 3x4, then A is of the order T

A:

Q: What is the coefficient of z12 in (6-12z)12 O a. C(12,0)* -(1212) O b. C(12,12)* 612 O c. 1212 O d.…

A:

Q: Use Forward Gregory-Newton Interpolation formula to find a polynomial passing through the points…

A: The Forward Gregory-Newton Interpolation formula is defined as:…

Q: (a) separates the largest 3.3% of all z values from the others z* = (b) separates the largest 0.8%…

A: HERE ALL PROBABILITIES ARE FROM NORMAL DISTRIBUTION TABLE

Q: What is the order of Z11?

A: Recall the fact that order is the number of elements in that group. Note that ,…

Q: The expansion of 500P3 is

A: The formula for nPr is defined as nPr = n! / (n - r)!

Q: Q1\ Differentiate the following 1)2xsin-13x

A:

Q: a) How can you find a linear combination (with integer coefficients) of two integers that equals…

A:

Q: What is the coefficient of x'y5 in the expansion of (1x + 3y)18? 3,15

A: Use formula of binomial expansion to solve the question.

Q: Find the value of K by determines. |1 2 3 0 1 2- |2 1 3 3 4 3 kl

A:

Q: The 4th term in the expansion of (2x² – 3x)* is - 10 Ca (2r²)*(-3z)® O 10 C4 (2a²)°(–3x)“ O 10 C3…

A:

Q: what is the characteristic of Z6xZ9

A:

Q: What is the coefficient of x5y7 in the expansion of (x+y)12?

A:

Q: 4) Evaluate 4x + (7-z) – 6y when x=2, y35, and z=4.

A: Given,           4x+(7-z)-6y          when x=2 , y=5 and z=4

Q: Find the product of x and y if x, 3/2, 6/7, y  are in G.P

A:

Q: What is the greatest value of the expression (ab + bc + cd + da) if a, b, c, d have values 3,5,7,9…

A: To find: Greatest value of the the function, ab+bc+cd+da. Given: The values of a, b, c and d are 3,…

Q: Determine the coefficient of the x'y term in the expansion of (2a + 3y) 2.

A:

Q: For the numbers 1, 2, 4, 6, 8 Compute:  SX   SX2   (SX) 2

A: Given data is1, 2, 4, 6, 8

Q: An employee of a car parts store was mistaken and saved the defective flashlights, along with the…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: Q2/sit a second order Polynominal to the data X 2 3 3 9. 1 2 4 y 4 7 -1 6. 2 4 3

A: we have to find the second order polynomial from the given data.

Q: The coefficient of x²y* in the expansion of (4x-y)° is 240. True False

A: As we know the formula for expansion (a+b)n=C0nanb0+C1nan-1b1+C2nan-2b2+.......+Cnna0bn   Here, a=4x…

Q: Suppose that x = (150y +45) where x and y are integers. What are the common dividers of x and 150.…

A:

Q: Show that: If |z| = 1, then: |z3 + 4z + 5 < 5 z + 5z + 6

A: Given: z=1 Then show that z3+4z+5z2+5z+6≤5

Q: What is the coefficient of z^4 in the expansion of(z^3+3z+1)^5?

A:

Q: Therefore, the 3rd term in the expansion of (x – 10z)’ is as follows. 7! 7C2x7 - 2(-10z)? 5! (-10z)?…

A: Therefore, the 3rd term in the expansion of  (x-10z)7 is as follows.   7C2x7-2(-10z)2=7!5!2…

Q: prove

A:

Q: Find the interpolating polynomial y = ax² + bx+c that passes through all three of the following data…

A: Given: The points are 1,13, 2,15 and 3,19. To find: The interpolating polynomial y=ax2+bx+c. All the…

Q: Use Forward Gregory-Newton Interpolation formula to find a polynomial pass through the points…

A:

Q: List all zero-divisors in Z20.  Can you see a relationship between the zero-divisors of Z20 and the…

A:

Q: Use Giramer Rule to Find ,z -2x + 33-Z = 1 メ+29-2-4 -2x -+7 = -3

A:

Q: how is 0.46= .32276 because on the z table it's 32.64 so where does the .32276 come from

A: The z-score is -0.46.

Q: Q1/ Find the inverse transformf(Es) FIS)=35+ 7 3²-25-3

A: We will break the expression using partial fraction and then use the inverse Laplace transform…

Q: Prove the property of cross products: av(btc)=(axb)+ caxc).

A:

Q: 7. If m ZDBC= 10x and ZACB= 4x²– 6, find m ZACB. %3D

A: Given query is to find the measure of angle ACB.