a) A project management consultant estimated that if a particular project was completed, t years after completion, N thousand persons would benefit directly from the project, where N(t) t3 4.5t2 + 16t, 0

Q: ivative of p = 2xz nes maximum in t 3k

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Q: Find all values of z for which z* + 2 – i2v3 = 0 and represent them geometrically.

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Q: Find a point c satisfying the conclusion of the MVT for the func y(x) = 2e* on the interval [0, 5].…

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Q: 1 1. Solve the rational equation x - x - 6 x- 3 x +2 and state any NPV's.

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Q: For which n E N is the polynomial f(x) = x^(2n) + x^n + 1 divisible by g(x) = x^2 + x + 1?​

A: To find the value of n ∈ ℕ for which the polynomial f(x) = x2n + xn + 1 is divisible by g(x) = x2 +…

Q: 20. Solve for the Wronskian of the set of functions: 3x - 1, x* - 2. 2x + 3 A. 4x (9x + 10x-90x -…

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

Q: 1. Write out the dual of: a. Min 3xl + 2x2 + x3 s.t. xl + x2 - x3 = 4 2x2 + x3 < 7 -xl + 3x2 2 6 х1,…

A: The given LPP is: Min 3x1+2x2+x3 Subject to x1+x2-x3=42x2+x3≤7-x1+3x2≥6x1,x2,x3≥0

Q: 4. Since a certain virus has been contained in Wakanda, researchers has proven that it will be…

A: The number of infected citizens, p thousand, after t weeks is given by…

Q: Find a 5 with real coe ffients that satisfies the aiven conditions. zeros of a, 5and-3; P)=4…

A: We have to find the polynomial of degree 3 with given condition.

Q: What is the value of Z if only 1.5​% of all possible Z values are​ larger?   The value of Z if…

A: From the provided information, The value of Z needs to be calculated if 1.5% of all possible Z…

Q: the coefficient on the leading term of p(x) positive, negative, or not enough infor- mation to know?…

A:

Q: If n^2+6n+11 = x^2+y^2 for positive integer n, x and y prove [xy/2] is composite. Note: [t]…

A: Given :              n2+6n+11 = x2+y2              t ≤ t

Q: 5. For how many different integers bis the polynomial x² + bx + 16 factorable over the integers?

A: From the given data

Q: x is even and v is any integer, then their produc

A: If x is even then x=2m where m is any integer y is any integer,  Case I Let y be even y=2n where n…

Q: 16. As a generalized interpolation problem, find the quadratic polynomial q(x) for which q(0) = -1,…

A: let the polynomial q(x)=ax2+bx+c q'(x)=2ax+b since q(0)=-1(given) a(0)+b(0)+c=-1⇒c=-1

Q: Show that for any 1 ≤k≤n. T (1) = n²(n²-1²)...(n² (k − 1)²) 1.3.5 (2k-1)

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Q: (b) Expand and simplify in ascending powers of x as far as the term in x" 1+3x

A:

Q: 1 Determine k such kx -4x+==0 that has real and different solutions.

A: A quadratic equation ax2+bx+c=0 has real and different solution if b2-4ac&gt;0

Q: 11. Find the quadratic polynomial y = ar +br+c whose graph passes through the points (-2,-16),…

A:

Q: Find a polynomial function p(x) of degree 3 with real coed fiends that satisfies the given…

A:

Q: For positive integers n and k (k sn+ 1), the kth term of (a + b)n is given by

A: The binomial expansion of (a+b)^n is

Q: An article in a sociology journal stated that if a particular health-care program for the elderly…

A: The formula for derivative is  ddxxn=nxn-1 solution:step1:n=13t3-6t3+32t…

Q: Derive a formula for fx* In x dxwhere a.) n+ -1 b.) n = -1

A:

Q: 11 In this question, take the number n of stages of a binomial variable X~ B (n, p) to be fixed, and…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: of t/4 for x. (If an answer is undefined, enter UNDEFINED.)

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Q: 2. Find a quadratic spline function having the nodes –1,0 and 1, and satisfying the table -1 |0|1 7…

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Q: ind the Wronskian of: 18x - 6 18x + 6 6x - 18 6x + 18 f₁ = x² - 6x f₂ = x² + 6x f3=x²-3

A:

Q: Suppose that X is a (A -e100, p 3e-100)-BCP. What is P(X(1)X (2)X(3) = 4)?

A: Answer is 4.

Q: show that x'-15x +C= O has at most root on E2,2] one

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Q: The minimum polynomial of 5'3 over Q is x 1/3

A:

Q: (2) Determine k such kx? – 4x +÷= 0 that has real and different solutions. 2

A:

Q: 11 In this question, take the number n of stages of a binomial variable X~ B(n, p) to be fixed, and…

A: Solution : For solution of d, e we take  direct results of binomial distribution. for…

Q: B (m,n) =. x"-1 (1-x)n-1dx صوابه

A: TRUE

Q: 8. Determine the value of k, given that: (x -k) dr=0 (3x +1)(r+1)

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: In what case of k such that there is only one solution? 2x + ky = 10 kx + 2y = -10

A:

Q: (a) A project management consultant estimated that if a particular project was completed, t years…

A:

Q: A production manager determines that t months after production on a new product begins,  the number…

A:

Q: The average pollen count in a certain city on day x of the pollen season is P(x) = 6x − 0.2x2  (for…

A:

Q: The Intermediate Value Theorem can be used to prove that the equation z² - 5x+6=0 has at least one…

A: Given :x2-5x+6=0

Q: 3. A polynomial of degree n 21 has exactly a zero of multiplicity m is counted m times. zeros if

A: To fill in the blanks where statement is A polynomial of degree n≥1 has exactly ......... zeros if a…

Q: Two different types of polishing solutions are being evaluated for possible use in tumble-polish…

A: Given that, Two different types of polishing solutions are being evaluated for possible use in…

Q: (a) A project management consultant estimated that if a particular project was completed, t years…

A: According to the given information, A project management estimate that if a particular project was…

Q: 17. Find the solution to the interpolation problem of finding a polynomial q(x) with deg(q) < 2 and…

A:

Q: and (A) (B) = x, = 2x, = 3x, Show that if 8. N N (AB) _ (BC) _ (AC) 1 = y, then the value of neither…

A:

Q: 3 By applying the Intermediate Value Theorem choose the interval over which x4 = 7x3 - 5 will have a…

A: The given problem is to find the interval for the given function that which the intermediate value…

Q: B. Use combinatorial proof to solve the following problems 1. (;) (:3) = (2) (3) п-2 \k-2,

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: 9. Use the graph of )-+3x-4 to identify the values of x for which - and to factor ). a. x- 2,x - c.…

A: Topic - functions Point at which graph cuts the x axis is zero of the polynomial or f(x)=0 at that…

Q: 17. Find the solution to the interpolation problem of finding a polynomial q (x) with deg(q) < 2 and…

A:

Q: C. Use the Golden Section method to solve the minimum of f(x) = In(x²) + In (x³) + In(x*) using an…

A: Given f(x)=ln(x2)+ln(x3)+ln(x4) xi=0.2xu=4

Q: b If K = 4.1 x 10-6 then pK, Submit

A: This is a basic log problem

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.