For a given table 1 3 6. 10 f (x) 4 7 11 15 Using linear interpolation formula, find f (5).

Q: Use the table below to compute h'(-1) for h(x) = f(x) g(). (E) (), (1)6 () 1/2 -2 2 1 -3 1 2 1 4. -1…

A:

Q: Given f(z) = 7x + 4

A:

Q: For the function f(x) = 21² + 1, it is given that 3 f(x) dx = 21. At what value C does the function…

A:

Q: (;) 9 and () ). For the functions f (x) = 4x4 – 19x³ – 10x2 + 35x – 50 and g(x) = x – 5, find E) (x)…

A: Consider the provided functions, fx=4x4-19x3-10x2+35x-50    and    gx=x-5 Find the value of fgx…

Q: Q/ Consider the following four points to interpolate for y = f(3.2) using: %3D 1.0 0.1111 2.0 0.0625…

A: We will answer one question. Please resubmit the other question separately to be answered.

Q: Q/ Consider the following four points to interpolate for y = f(3.2) using: 1.0 0.1111 2.0 0.0625 3.0…

A:

Q: 4. If f(x) ≥ 0 for all x € [a, b] and a. 0 b. A b [²² f = A, which of the following is the value of…

A: We can solve the given integral.

Q: a) Differentiate the following with respect to x. i. S (x)=(x +3)° ii. f(x) = (3x² +7)(6- 5x ) 2…

A: We have to the basic formula for differentiating x^n for a).

Q: 4. If f(z) is the principal branch of z3, find f'(–1– i).

A:

Q: 3 Given that 1 < f(x) < 2 for -4 < x < 3, find the best possible estimate of the value of f(x) dæ.…

A:

Q: 4. Given xo < x, and x, define x - xo X1 - X0 and let P1(x) interpolate the function f(x) at the…

A:

Q: Please

A:

Q: For what value of c is the function f(x) = = C= C 7 2-4 (x+2)(x-3) x==2 x = 1 otherwise continuous…

A: Given :fx=c,      x=-27,        x=1x2-4x+2x-3   otherwise

Q: Given the function 4x 2 f(x) =1 Ar +4 20 - f(z) %3| 4x2+4 r Calculate the following values: f(- 1) =…

A:

Q: 3. Given f (x) = x2 - x + 16. If f (w) = 12, what is the value of w?

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

Q: 4. If f(x) > 0 for all x € [a, b] and a. 0 b. A (² f = A, which of the following is the value of c.…

A:

Q: Find the following using the table below. 1 3 4 f(x) f'(x) g(z) (T),6 1 4 3 4 3 4 h'(1) if h(x) =…

A:

Q: If f(4) = 5 and f'(x) 2 2 for 4 s xS 9, how small can f(9) possibly be? %3D

A: Mean Value Theorem   Let f(x) be a function that satisfies the following hypotheses: a) f(x) is…

Q: From the following table: construct the difference table then find the value of x when y is maximum;…

A:

Q: Use the appropriate three-point formula, to estimate f'(1.3) for the following table. 1.1 1.2 1.3…

A: Given,

Q: find the value of a and b so the the function has a local extreme value of 1 at x=3 f(x)=ax+b/x^2-1

A:

Q: Let f(x) = cx3.4 and suppose that f(2) = 20. Find the value of c. (Round your answer to two decimal…

A: For this problem we can easily found c.

Q: Q4: Given the following data, find F(x) at x = 3 using lagrange Interpolation. 1 2 4 y 1 1 2

A: We have, x 0 1 2 4 y 1 1 2 5 Here,x0=0,   y0=1x1=1,   y1=1x2=2,   y2=2x3=4,   y3=5We have to…

Q: a) Suppose that f(3) = 15, f'(3) – 5 and let H(x) = Vf(x)+ 10. Find H'(3). b) Let f(x) = cx +…

A: (a) Differentiate the function Hx with respect to x to find H'x.

Q: Let f(x) = cx 3.8 and suppose that f(3) = 12. Find the value of c. (Round your answer to two decimal…

A: The objective is to find the value of c

Q: Compute f(0.3) for the data x 01 3 f(x) 13 49 7 129 813 using Lagrange's interpolation formula a)…

A:

Q: Evaluate the step function defined by f(x) = [[x]] for the given value of x. s(-3,4) = I

A: The floor function is the function that takes as input  real number x,and gives as output the…

Q: If f(x) = |x|, then f(−1) = 1 and f(3) = 3 but f'(x) is never equal to f(3) − f(−1)/3 − (−1)=1/2.…

A:

Q: Xi -3 -1 0. -2 1 f(xi) 7.1 -4.3 -3 -2.6 -0.6 Given that the above data was extracted from the…

A:

Q: Evaluate f'(x) at x =2 given f(x) = (x² – 3)ª A B 2 © 1 none of the given choices E 4

A:

Q: For these data, what is ∑X2? x       f 4      1 3      2 2      3 1      1

A: For the given data, ∑iX2 can be obtained as: X f X2 4 1 42 = 16 3 2 32 = 9 2 3 22 = 4 1 1…

Q: For #'s 11. Let h(x)=(2x-5) and f(x)=x², find g(x). Let h(x) = Vx-5 and f(x)= Vx, find g(x). 12. 13

A:

Q: Find Critical numbers of the given function: x² +5 f(x) = %3D x - 2

A:

Q: Let f(x) = cx3.4 and suppose that f(2) = 14. Find the value of c. (Round your answer to two decimal…

A:

Q: Find (f1)'(3) given the following table of values. f(z) f'(z) 3 1

A: The given table is, x fx f'x 2 3 1 This means that, At x=2,   fx=3   and  f'(x)=1. That is,…

Q: 3. Use the five-point endpoint formula to approximate f'(0.91) for the table data points. You must…

A:

Q: Let f(x) = cx -1.36 and suppose that f(6) = 11. Find the value of c. (round to 2 decimal places)

A:

Q: Approximate the numerical value of f'(4)using the table provided. 1 2 3 4 5 7 f(x) 1 3 20 37 O f'(4)…

A: Consider the ordered pairs 3,3,4,6 and 5,11. Find the slope the line between the line 3,3 and 4,6.…

Q: The following data was obtained when the stopping distance d of a car on a wet road was measured as…

A: The given values are i 0 1 2 3 4 5 xi 2 3 5 6 7 8 f(xi) 3 18…

Q: 16

A: In the given question we have to calculate then f'(x) , critical point of f and relative extreme of…

Q: 2) Given the following: f(x)=x²+2x+1; g(x)=x-1; and d(x) = √√x + 3, evaluate a. f(h+2) b. d(g(7)) C.…

A: a. f(h+2)= (h+2)^2+2(h+2)+1 = h^2+4+4h+2h+4+1 = h^2+6h+9 b. g(7)= 7-1=6 d(g(7))=9^(1/2) =3

Q: Find the critical points of the following function.   f(x) = (e3x + e-3x)/7

A:

Q: Given the following table, approximate f (0.6) using 3-point formula f(x) 0.5 0.4794 0.6 0.5646 0.7…

A:

Q: 3. Given the following table about function f(x), approximate the value of f(1.25) by Lagrange…

A:

Q: If F(x) is an antiderivative of x2 + x1, then what is the value of F(1) - F(-1)? -2

A:

Q: Find f(5) using Newton- Gregory interpolation formula from the following table. 8 f(x) 16 Answer:…

A:

Q: 2) Given the following: f(x)=x²+2x+1; g(x)=x-1; and d(x)=√x +3, evaluate a. f(h+2) b. d(g(7)) C.…

A:

Q: Suppose X has the p.d.f. fX(x) = 1/√10πe^(-(x+2)^2)/10      (a) What is E(X) and Var(X)? (b)…

A: Given  fX(x) = 1/√10πe^(-(x+2)^2)/10

Q: Consider the following data X -2 1 2 f (x) 1 4 11 16 13 -4 Use N-F-D to approximate f (4) 3.

A: First, Newton's forward difference table is made and then the forward difference formula is used to…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.