Suppose that the functions q and r defined as folows r()-+7 ind the following. (4 )(2) = 0 (, •4)(2) = 0 %3D

Q: 3x-4 -,x < 1 x+2 4. Given the function f (x) = . Calculate f'(1-) and f'(1+). In?x x+1

A:

Q: Consider the function y = 2e4. Which of the following statements is true for y? O y'=y Oy = /v O…

A: given,

Q: 5. (S.10). By using the second divided difference find f [1, 1.2, 1.4] for f (x) = e-a*; 6. (S.15).…

A: Since you have asked multiple question, we will solve the first question (5) for you. If you want…

Q: Find f(t) for each of the following functions: 18s + 66s + 54 a) F(s) (s + 1)(s + 2)(s + 3)' 8s +…

A: The Laplace transform of a function ft is denoted by the function Lft=Fs. The Laplace transform is…

Q: 1. (a). Show that (1 · 1) + (0 ∙ 1 + 0) = 1. (b). Find the value of (1 + 1) .

A:

Q: Show that an = 1/2n + 1 is decreasing.

A: Given: an=12n+1 Substitute 1 for n in the equation an=12n+1. a1=12(1)+1=13=0.333

Q: /s. 5. Show that 2x?dx = f 2x²dx + S, 2x²dx + f 2x²dx %3D

A:

Q: Let f(x)= 4x-1, h(x)= -x+4. Find (fo h)(-2). (foh)(-2) =

A:

Q: Consider the following functions Step 3 of 4 Find/gXI). Answer /=(-24(1-1). (4,4)) 5 Points and x=…

A:

Q: Find the derivative of the function. Ax) = 6x (9 - 8x)* O (- 12x) (9 - 8x)' (6x- 9) O (-181 )(9- 82)…

A:

Q: (5)Find x if. i. e* = 3, ii. Inx = 2 iv. 32-x = 27, v. 8x+1 32. %3D

A:

Q: a) x³ - x f (x) = 2x² + x − 1 - b) f(x) = ax + b cx - d

A: Here we have to evaluate for a) and b) the value of f'(x).

Q: Find the derivative of the function. (3x +5) f(x) = In (7x + 5)*(2x+ 8) 14 2 O a. 3x +5 + 7x +5 2x…

A: We have to check

Q: 2. If f(x) = 1+ x2, find fof. * %3D A. 1+ x2 + x4 B. 2 + 2x2 + x4 C. 2 + x2 D. 1 + x4

A:

Q: Differentiate the following function: u' = = u = √√ +² +6√√√+³

A: Differentiate both sides with respect to 't'

Q: 7. (3, 5) is a point on the graph of y = f(x). Find the corresponding point on the graph of each of…

A:

Q: If a = 1 − v^2 and both x and v are zero when t = 0, show that x = −1/2ln(1-v^2) and hence find v^2…

A:

Q: b) Find out whether the following functions are odd, even or neither: i. 2x-5x+7 ii. x'+x*

A: Given:i. 2x5-5x3+7ii. x3+x4

Q: calculate the value of coth-1(x) when x is greater than 1

A:

Q: Compute f 3 2 x-5x+6 dx.

A:

Q: Find 4 of 3xy –- x³ = 5 at (1, 2)

A: Given; 3xy-x3=5 at (1,2)

Q: P=S/(S+F) Express S in terms of F and P

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Suppose f(x) = 4nx?e-Tx -e-n for all x € R. Show that f = -f. %3D

A:

Q: Let f (x) = vr +2² + 2 , ro = 1, h = 0.5, r1 using the Three-Point formulas to approximate f(1) (1);…

A: Given: The given fx=x3+x2+2, x0=1,h=0.5,x1=1.5 and x2=2

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.