What type of discontinuity occurs at x = 1 for the piecewise function? if x <1 if 1

Q: Find the critical point for the function f(x)=2x2-4x+1 O 4 O none O 1.5 O 1

A:

Q: Find the interval on which the graph of f(x)=ln(x^2+1) is concave upward ?

A:

Q: Find the local and/or absolute maxima for the functions of the specified domain. Y= 1/(x-x^2) over…

A: Here we have to use the concept of derivatives. Here we use second derivatives test for finding…

Q: Find a point c satisfying the MVT for the given function and interval. 2 y = x3 [0,8]

A:

Q: If f(x) = x – kx-1 has a relative maximum at x = -2, then the value of k is %3D

A:

Q: Determine all the critical points for the function. f(x)=6x^5+33x^4−30x^3+100

A: We have to determine all the critical points for the function  f(x) = 6x5 + 33x4 - 30x3 + 100 We…

Q: Find the interval/s where the function is increasing and where it is decreasing: f (x) = x³ – 3x + 3…

A:

Q: 22 If Sx) is an odd function, the second difference [SSAx) – 2(0) +-Ax)]/(Ax)? exactly equals f"(0)…

A: Please check step 2 for the solution.

Q: If the critical point of the function f(x.y)-x- y- 2xy +6 is (0.0). test this point whether it is:

A: We use second order partial derivative to know about critical point behaviour

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in…

A:

Q: Are the f-llowing functions Continual s OFC メーE X-2 スト=メ 1P 2) FCX)s X- S X +7 at XE-1 X5qXs (xフゴ

A:

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings​ (in…

A: given S'x=150-x2C'x=x2+114x where S'x is the rate of annual saving and C'x is the rate of annual…

Q: Show that f(x) = ln xn /x is a decreasing function for x &gt; e and n &gt; 0.

A: Given function is, But, Hence,

Q: The function F(x) = 2x^3 + 3x^2 has a relative minimum point at x =

A: We will solve the problem

Q: If n is positive and even, where is the graph of f(x) = xn increasing and where is it decreasing?

A: For f(x)= xn  where n is positive and even. for these type of function the general graph is given…

Q: 2. Find the extrema of the function g(x) = x3 using any of the methods given in the above…

A:

Q: a. What are the net total savings during the first year of use of the​ machine? b. What are the net…

A:

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings​ (in…

A: Given that

Q: If f(x) = x -kx^-1 has a relative maximum at x = -2, then the value of k is

A: We have to find value of k.

Q: Find the linearization L(x)  of the function f(x)=x^3/4  at x=16

A:

Q: Show that the function f(x) = e^-x^2/2 has a relative maximum at x = 0.

A: Given function is: fx=e-x22 Differentiating f(x) with respect to x we get, f'x=e-x22×-2x2f'x=-xe-x22…

Q: 1 Find the linearization of the function f(x) = 5x+4 atz-1.

A: The given function fx=15x+4 at x=-1

Q: Consider the production function:           Y = 0.75X + 0.0042X2 – 0.000023X3 (a) At what level of…

A:

Q: If f (x) = x(x - 2), then the critical points %3D of the function f(x) are

A:

Q: Suppose that the monthly cost in doliars of mining a certain ore is related to the number of pieces…

A: We have to find the value x

Q: The critical point for the function ƒ(x)= x² – 3x is

A:

Q: f(x)= Se-(at3)?-1

A:

Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…

A: We have to find the function whose tangent line has the slope 3x2+1 for each value of x and whose…

Q: Find the extreme values of the function f(x; y) = x2 + y2 + xy on the curve x2 + 2y2 = 1.

A:

Q: Find the critical points of the following function f(x) = - 3x +5x on [0,4]

A:

Q: 6. find all local extremum value in this function f(x)= xʻe* م م م م و و ه و و و و و و ه و و و و و و…

A:

Q: The function f(x)=(1/(x+1))+4 is decreasing on what interval(s)?

A: Consider the function  fx=1x+1+4

Q: Consider the production function:  Y = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output…

A: The given production function: y=0.75x+0.0042x2-0.000023x3  .......1 Differentiate both sides with…

Q: Find a function whose graph passes through the point (1,2/e) and satisfies x^2y'=y.

A: Given differential equation     x2y'=y   and initial condition  at x=1,y=2/e

Q: find the critical points in the domains of the following functions. y = ( x^2 - 1 ) / (x^2 + 2x -…

A: It is given that the function is y=x2-1x2+2x-3. Obtain the domain of the function as follows:…

Q: If f (x) - 2x - kex has a relative maximum at x = -2, then the value of his

A: Given  f(x)=2x-k.exNote: As there is no h in the equation it is assumed that we need to find…

Q: 14. Show that f(x) x+4 never intersects its horizontal asymptote. %D 3x+1

A:

Q: If f(x) = x - ka 1 has a relative maximum at r = -2, then the value of k is

A:

Q: What is f (2) if the linearization of f (x) at a = 2 is L(x) = 2x + 4?

A:

Q: For what value of k will x + k/x have a relative maximum at x = -2?

A: Given: f(x)=x+kx

Q: 2. Determine the zeroes of 2 x² = x f(x) instantaneous zeroes using a table of values. — 3x 4 and…

A: To find the zeroes of the polynomial.

Q: Find the distance between the local maximum and the local minimum values of the function f(x) =x -…

A: n order to find maxima and minima of a function , we have to follow the two stepsStep 1:  Find the…

Q: Find the approximate value of the function f(x)=√5x−1 at x=1,99.

A: Given Here a = 2. The formula for approximate value is Substitute a = 2 in given function to get…

Q: determine all critical points for the function: y = x^3 + 9x^2 - 48x + 10

A:

Q: 5x−12/x^2−x−42 has vertical asymptote(s) at x=

A:

Q: Select the graph of a function which has exactly one critical point, at x = 3, and exactly one…

A: We can use the concept of graphical analysis in order to solve the given problem.

Q: Find a value for the constant k, if possible, that will make the function continuous. kox+1 for x 3

A: K = 1/3

Q: Show that a function f decreases most rapidly at x in the direction opposite to the gradier (that…

A: Solve with given conditions

Q: 3. Consider the function f(x) = r - 1+x 1- a. Explain why, when evaluated in a floating point…

A:

Q: If f (x) = 2", which equation represents a function that has been reflected over the x-axis, has a…

A: