1 - t Let F(x) = dt for -o << x < +∞ t2 + 24

Q: 1 x4 - x³ + x² increasing? Find all intervals where the function f(x) = = 4

A: To find the intervals where the given function is increasing

Q: Let f(x) = 6x² + 2x³. Select all intervals where f(x) is INCREASING, (3) (0, ∞) (,0) (-∞, -3¹²¹)

A:

Q: (-3 if z 2

A: Here is a step by step solution of the problem. We have proved discontinuity at x=2 by evaluation…

Q: 21 - 2 for f(x) = for 3D Find f(-1)

A:

Q: . Let G(x)= x+3)2, if x ≤ -1; 2-x if 1<<1; Find all values of a where G is not continuous. , if x 1.

A:

Q: e. lim f(x) x→ 1+ f. lim f(x) x→ 1

A: Given f( x ) = ( 2 - x )    if x &lt; -1          = 3                if -1 ≤ x ≤ 1          = -( x -…

Q: Find number k so that f(z) = 10x + 8 x -1 is continuous on (-0,0). O -2 4 -4

A:

Q: 1 7. fx) (x+ 1) 4-3-2-1 1 2 In Exercises 9-16, identify t function is increasing or decre 9. g(x) =…

A: The function is given by

Q: (4x+7 (ii) If f(x) = { 14x²-1 Isxs2 2<154 determine whether the function f(x) is continuous…

A: In this question we have to check whether the given function is continuous throughout its domain or…

Q: limit X----1    t+1/(t + 1)

A: Given function: t+1/(1+t)

Q: Where is the function f(x) = if x 0 removable discontinuity? Is it a jump discontinuity?

A: A jump discontinuity occurs when right and left limit exists but are unequal .

Q: f(x) = - 4x+5 if -1<x<2 3x-8 if 2≤x≤4 The domain of the piecewise defined function fis [-1,2]U[2,4]

A: Given a piece wise function

Q: Find y" of y=- y" = y" = O y" = y" = X-1 2 (x-1)² 2 (x - 1)³ 1 (x - 1)³ -2 (x - 1)³

A: Topic = Derivative

Q: How many continuous functions f are there which satisfy (f(x))² = x² for all x?

A:

Q: (x+3)2 if xs-1 Let f(x) 2-x, if-11 (x+2)

A: Given function:                          f(x)=1(x+3)2 ,      if x ≤-12-x         if -1&lt; x≤1…

Q: _et f(x) = 2-x 3 (-(x-1)² if x1

A:

Q: 4- [10 points] Evaluate f x²4* dx

A: We have to determine the integral of ( x24(x^3) )dx.

Q: V2x+5-Vx+7 f(x) = for x# 2, If x-2 and if f is continuous at x= 2, then k = |5(2)= k

A: If f(x) =2x+5 -x+7x-2, for x≃2 f(2) =k and if f is continuous at x=2, then what will be the value of…

Q: (1-sin9x)²dx

A: To evaluate the given integral

Q: 4. please help!'   Calculate the domain of the function:

A: Step 1:

Q: Q3) Specify the intervals over which the function is increasing and the intervals where it is…

A:

Q: The composite function denoted by feg is defined by O af = g(x) = f(g(x) O b. f - g(x) = f(x) •g{x)…

A:

Q: If f(3) = 5 and f'(x) ≥ 2 for 3 ≤ x ≤ 8, how small can f(8) possibly be? f(8) Z

A: f(3)=5f'(x)≥2    for 3≤x≤8

Q: Зх-4 (5) Let f(x) x E [-2,2], find the absolute maximum and minimum x²+1 values of f(x).

A: We will find out the required value.

Q: 2. Krista and Heather completed a jogging race in 1080 seconds. How many minutes did they jog?…

A: Given jogging time = 1080 sec

Q: Find the range of f(x) = 23 e*+3

A:

Q: 25. (LO12) For the function f(x) = (x – 1)² + 2, state the intervals over which this function is…

A:

Q: (a) f(x) = {x*, , if xs0 %3D (b) f(x) = {*+ 2, if x<0 %3D

A: The given question is taken from the from the function in which we have to find the piece wise…