f(x) = ke 2, x > 0 k O correct O Error

Q: y = 3/4 x 4/3 = 3 x 1/3 + 5, 1 <x<8 (Ans = of unit)

A:

Q: For what value of x does the function g(x) x - 2x concave downward? В. A. x -1 D. x< 2 C. x -2 1/3

A: The graph of y = g (x) is concave downward on those intervals where y = g "(x) &lt; 0.

Q: Let f (x) = Evaluate the following. Simplify if possible. 9x +7 f (x) – f(a) a) 7 where A = A' for x…

A:

Q: 2十 1. t. a) Express f(t) in terms of unit step functions

A: To express f(t) in terms of unit step functions.

Q: B)ls w = z²1² analytical function or not?

A:

Q: If f(x.y)=x+6/y-10 Then fy= 6Vy

A: Given : fx, y=x4+6y-10 Differentiate the above function w.r.t 'y' fy=ddyx4+6y-10fy=ddyx4+ddy6y-ddy10

Q: If f(x) = = √2x+6, find f'(x). Find f'(2).

A:

Q: O X 3. Find f'(x) when f(x) = √16x²

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Q: 3x+1 Evaluate f'(-1) given that f(x) = %3D 2x+1

A:

Q: Sx² – 4 if x # -3 -2 if x = -3' Evaluate f(4), f(0), f(-3) and f(-2/3)

A: fx=x2-4if x≠-3-2if x=-3 We have to evaluate f4 , f0 , f-3 and f-23

Q: f(x) 132. Let h (x) = g(x) Find a. h' (1), b. h' (3) , and с. h' (4).

A: Given

Q: Integrate the following function f(x)= 6x- + 2x – 5 dr

A:

Q: Q/ Use Lagrangian polynomial to find f'(2.1) from the following table 1 2 3 f(x)| 10 17 22

A: Numbers of data point set is 3, so the degree of polynomial will be at most degree 2.

Q: / = 20. Evaluate f (a+ 2) for f(a) 3 4x-8'

A:

Q: Differentiate f(x) = -O.1x - 0.15x³ - 0.5x² - 0.25x + 1.2 at x = 0.5

A:

Q: Given f(x) = x + 4, x < 0. Find (f-1)' (5) 10 1 2 | 29

A:

Q: S dx b² +x4 - Evaluate

A:

Q: 1 Find f'(-1) if Ax) = (2x + 1)², O-4 04 O-1

A: The given function,       fx=12x+12

Q: Differentiate the following function. = VP + 2V7 u = u'(t) =|| I

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…

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

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Q: Find f. f "(x) = 1//1- x?, () - = 2 f(x) =

A:

Q: Let x>0, the relative error be &, solve the error of Inx

A: Given: x&gt;0. ε be the relative error. To find: Error of lnx.

Q: Find ao of the function f(x) =(T - x)2 |3D | O 5 T^2/12 5 π^2/6 O T^2/12 TT^2/6

A: Fourier coefficient of the function

Q: For f(z) = 2es'the value oflog(f(z)) is

A: Given that fz=2eπ8i We have to find the value of logfz