If In a or decimal rounded to at least 4 places. 2, In b = 3, and In c 5, evaluate the following. Give your answer as an integer, fraction, a (a) In b-4cl (b) ln V/b-²a-3 а In(a*b²) (c) In(bc) - 4 1 ) a (d) (In c In - 3

Q: Q4. Use Pascal's triangle to expand (3 + x)°.

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A: The solution is given below :

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A: Given type of function is fx =abx+jcx+kdx+m2ex+ngx-phx+q

Q: Q4: Find the term independent of x in the expansion (1+

A: Binomial expansion is used.

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A: Given a=2 , b=3 , c=5

Q: Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about…

A: Given,  Y=Yo e-0.0001216t

Q: 3 a. Suppose h(n)= 15n° + n and f(n) = 14n°. Is f(n)EN(h(n))? Use the definition of Omega notation.

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: [1 (d) Let A = 1 Lo 01 0). Find A[21. 1

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A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: n1 = 50, n2 = 50 X1 = 8, X2 = 7 O A. 0.7794 O B. 0.6103 O C. 0.2206 O D. 0.3897

A: n1 = 50 =n2  p1= 8/50 =0.16p2 = 7/50 =0.14   The test statistic is given by

Q: Show all your work to get credit 7 Find a formula for l, where m is a positive integer.

A: To find - Find a formula for ∑s=1ms3, where m is a positive integer.

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Q: 17. How many significant figures are there in (a) 0.0000303 and (b) 6.201 x 10?

A: We have to find the significant figures in the given numbers.

Q: 3. Apply Lagrange's interpolation formula, find In 9.2 with n=3 and the values below 9.5 10.0 11.0…

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Q: 2) express the given reapeating decimal as a fractional : 0.9999..., 0•159159159…, 0·782178217821… ,…

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Q: Given the infinite continued fraction [n, 1,1,2,2,3,3,4,4,5,5,6,6 ... ] for an integer n > 1, find…

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Q: (c) Expand (7– 3x) in ascending powers of x, up to and including the 4" tem. Hence, approximate…

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Q: Give a formula for the coefficient of xk in the expansion of (10x + 20/x)100, where k is zero i.e.…

A: Given that 10x+20x100 The objective is to find the formula for the coefficient of xk. By binomial…

Q: 1969, the po 1 479 325 in 1 999? co-operative s undred and thi wenty seven the n the year 2002…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 5) Find the total Ħ of díagonals for af )n=5 b)n=10

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Q: 25% of the original 14 C is still present

A: We have to find out the probable age of the artifact.

Q: English Spanish 6T 288T 3 in O 36T Next O Back Volume = _in3

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Q: Smplify 24 =3(4-2) • what Ps "eiaht lere than twice X in sumbol • ln 344-6+ 8=2:2, what uperation…

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Q: Find P( -2.64 < Z < 0.43): Using table E " 0.7733 O 0.3377 O 0.3773 0.7337

A: Here, we need to find out that the probability between two z-scores i.e.  P( -2.64 &lt; z &lt; 0.43…

Q: 1. In the number 909,507, how many times greater is the 9 in the thousands place than in the ones…

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Q: Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about…

A: Given that an Egyptian mummy is discovered in which the amount of carbon - 14 present is the only…

Q: Give a formula for the coefficient of xk in the expansion of (10x + 20/x)100, where k is zero i.e.…

A:

Q: If there are three Metals of different weights 10+9 grams, 5+9 grams and grams respectively: a.…

A: Weight of first Metal = 10+9x+3 grams Weight of Second Metal = 5+9x grams Weight of third Metal = 67…

Q: If in the expansion of (1 + n}+", the 5th term is 24 times the 3rd term, fnd the value of n.

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Q: Compute аn+1 lim n-00 An for (-3)" an = 2n+1 * Enter your answer as a decimal number, not as a…

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Q: If ln a = 2, In b = 3, and ln c = 5, evaluate the following: (a) In (1) = (b) In √b²c-4a² = In(a464)…

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Q: The original 24 me a. When x = 3 m, at p. When x = 3 m, ar a. When x = 3 m, ti (Type an integer

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Q: Evaluate In(0.473). Give your answer to four decimal places.

A:

Q: 12. When written in descending powers of z, the third term in the expansion of (2x +w)* is 156.8a.…

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Q: 6. Find the root using Regula-Falsi Method a) x* -x- 10 = 0 Ans. x = -1.697 and 1.855

A: As per our company guidelines, we can solve first question for you. If you want other question to be…

Q: How do you solve this?

A: Given:

Q: P(Z > -2.53) =? 0.9943 O 0.0057 O -0.4943 0.5057

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Q: Express the given repeating decimal as a quotient of integers. If​ possible, reduce to lowest terms.…

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Q: 5 Let flx) -5X+3Xh emd gx) = 3X+2X+) in 7[x].Determine the quotient ane remainder upon dividing #00…

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Q: Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about…

A: Given

Q: lim, o0 (3 In (4 + z) – In (2x³ – 5)]

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Q: (a) Express (4-3x) in the form of a(1+bx) where a and be R. Hence, find the expansion of (4–3x) up…

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Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: Given expression is: s-2t312 We have to find the last three terms of the above expression.

Q: Q6. Identify the incorrect statement in the following: A. If e* = 2 then x = ln 2. B. If In x = 2…

A: We have to find incorrect statement from the given. Here we use properties of  natural logarithm…