n. Determine the values of x where f(x) is discontinuous and sta whether each discontinuity is removable or nonremovable.

Q: find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: Given: f(x) = 14-x2 To find: The values of x at which function is not continuous.

Q: For what values of æ does the function f (x) = 12x – x³ have a horizontal tangent line? Select all…

A: We need to find the horizontal tangent line for: f(x) = 12x-x3

Q: Determine the discontinuities of the following functions and state why the function fails to be…

A: f(x)=x3+x2-17x+15x2+2x-15function is undefine when x2+2x-15 is become 0Let…

Q: Suppose that f( is a continuous function. If f(#) da=4, then what is the value of T - f(x)] dæ ?…

A: To evaluate the given definite integral.

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Given: The function, f(x) = 10-8e9-x,  x > 910-89x,       x≤ 9

Q: Suppose that f is a function given as f(x)=x3+bx2+cx−4 Find the exact values of b and c if we know…

A: Given: fx=x3+bx2+cx-4   and tangent line y=36x+68

Q: 2. Given the function f(x) = ., determine if the function is continuOus or not. Identify the point/s…

A: Given function f(x)= (x2-1)/(x-1) is continuous or not , determine type of discontinue.

Q: Determine whether the following function is continuous at the given point 1 = 2x+11x f(z) = 2x 13

A:

Q: If f is continuous and ∫31 f (x) dx = 8 , show that f takes on the value 4 at least once on the…

A: Given that f is continuous and ∫31 f (x) dx = 8. We have to prove that, f takes on the value 4 at…

Q: f(x)% = x- 3x3 + 2x2-5x-7 at x = -1 %3D vnaud

A:

Q: 9. Show that for f(x) = x° we have f"(0) = 0 but the point x = 0 is not an inflection point of f.

A:

Q: For what value of b, f(x) is continuous at every x? (a²x-2a f(x) = (12 x2 2 x< 2

A: As f(x) has two parts and both parts are continuous in given x so make continuous only at point x= 2

Q: A. Consider the function defined by [x² +1, if x<5 f (x)={ |6x– 4, if x25 a. Is f continuous at x =…

A:

Q: Determine the interval (s) on which the function f(x) = 3xe* is concave down. O 号

A:

Q: find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: Given: f(x)=cscπx6x-3≤22x-3&gt;2 Simplify the given function.…

Q: Show that the function f(x) = K. when xw0 when xois discontinuous at x = 0.

A: Solution

Q: Find a value of x, if any, at which f(x) = Vx – 27 is not continuous.

A: f(x) = (x-27)(1/3) To find :- Value of x where function is discontinuous

Q: Determine a point where f(x) has a non-removable discontinuity.   f(x)=x^4+3x+2/x^2−3x−4

A: GIVEN DATA : Function fx=x4+3x+2x2-3x-4        TO FIND : Non removable discontinuity of the fx Non…

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A:

Q: Which of the following is the x-coordinate of a relative extremum of the function f(x) = = Arct…

A: We will use first derivative test to determine the extremum of the function.

Q: For what value of the constant c is the function f continuous on (-, o)? cx2 + 8x if x 3 C =

A:

Q: If f is continuousand ∫31f(x) dx=8, show that f takes on the value 4 at least once on the interval…

A:

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Given :             f(x) =1(4-x2)

Q: Evaluate f (x): at x = -2. %D 1 - x2 Select one: A. Discontinuous B. Continuous

A:

Q: Determine the values of x at which the function in Figure  is: (a) discontinuous and (b)…

A: To determine the values of x at which the function is  a) discontinuous. b) nondifferentiable.

Q: Determine a value of m (if possible) for which f is continuous at x = 4. mx – 48 if x<4 f(x) = 2 3x?…

A:

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Given- fx=xx2-4 To find- The values of x at which the function is not continuous. Concept used-  The…

Q: 1 Find the distance between the two values of x at which the function is discontinuous. x²-3x + 2

A: The function given is ,f(x) = 1x2-3x+2f(x) is discontinous when,x2-3x+2 = 0Using quadratic formula,x…

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: A function is continuous in a given interval, if the graph of function makes a continuous or smooth…

Q: Graph h and describe the discontinuity: h(x) = { ex lnx for x &lt; 0 for x &gt; 0 Is h left- or…

A: Given the function h(x)=ex lnx.  We need to sketch the graph for the given function for x&lt;0 and…

Q: On what domain is the function f(x)=x^2+7x−6 continuous?

A:

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Given function is

Q: Find the intervals on which the graph of f is concave upward. f(x) = In (x² – 2x + 10)

A: f(x)= In(x2 - 2x + 10) To find the intervals on which the graph of f is concave upward.

Q: Show that the function is discontinuous on R. f(x) = { 1; 0; for x € Q for a Q

A:

Q: Suppose that f(x) = SBx? – 3 if if (Bx+2 x> 2 Find the value of B so that f(x) is continuous…

A:

Q: For what value of the constant c is the function f continuous on (-, 0)? S cx2 + 5x x3 – cx if x 4

A:

Q: when x # 1 9: Show that f(x) %3D 2 when x =1 is discontinuous at x = 1

A: The given function,   fx=x2when x≠12when x=1

Q: Aen vity # 2 BLs auss ME! t) flx):1 Xスー 2.

A:

Q: At what points is the following function continuous? 6x tan 3x y = x2 +2

A:

Q: The function f(x) = is Lipshitz on ]0, ∞[. True False

A: A function  is called a Lipschitz function if f(x)-f(y)≤Cx-y for all x and y, where C is any…

Q: given the function g(x)= x^3-2x^2+x, find the intervals when g is concave up decreasing at the same…

A:

Q: What kind of discontinuity does f(x) = *-3 have at x = 2? X-2

A: A function is said to possess non-removable discontinuity if the limit of the function does not…

Q: At what points of R² are the following functions continuous?

A: A function is not continuous at the value of variables when the function does not give a defined…

Q: Find the x-values (if any) at wvhich the function f(x)= 9x+ 3x+ 3 is not continuous. Which of the…

A:

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A: Given: fx=1x2+1 To find discontinuities find the value of x at x2+1=0 x2+1=0x2=-1 But there exists…

Q: Show whether the following function is continuously differentiable: f(x,y)=x2y2

A:

Q: Find the intervals on which the function f(x)=e−x3 is convex upward and convex downward.

A:

Q: For what value of a is the function continuous at every x?

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.