x+3 10. At which points do the functions y = fail to be continuous? If any, are x2-3x-10 the discontinuities removable?

Q: Find the local extreme values of the function: f(x,y)=xy-x^2-y^2-3x-3y+12.

A: It is given that, fx,y=xy-x2-y2-3x-3y+12We have to find the local extreme values.

Q: increasing and decreasing. 5) f(x) = -x² +4 fx) -4 위

A: Given :  f (x) = - x 2 + 4    To determine : The intervals on which f (x) is increasing or…

Q: Find the value of k that makes the function continuous. Justify your answer. 2x – 1, x 2

A:

Q: find all possible functions with the givenderivative. y' = x3

A:

Q: Q.5 Find the absolute maximum and minimum values of f(x) = x³ – 3x2 – 9x + 25 over the closed…

A:

Q: Q1.Given: x? – 4 | when x 3 1.Find what values of ( a) and (b) that will make the function…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Q2\\ Find the value of (a) that make the function below continuous at x 2: (a*x-2a x22 fx) = 12 x<2

A: Definition used-                     Continuity of function -                     A…

Q: if y=x to the 3rd power - 3x. find the maximum value of y? -1

A: Given

Q: find the value of the constant ( a, b, or c) that makes the function continuous.

A:

Q: Q2:- Find the maximum value of the function f(x,y) 49-x-y? on the line x+ 3y = 10. %3D

A:

Q: at what points of R ^2 is the following function continuous? p(x,y)=(19x^4y^3)/x^4+y^4

A:

Q: X +7 At what points is the function y= continuous? 2 x - 13x + 42 X

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined points, take…

Q: y -2

A:

Q: - 3x + 1, x S 4 Find the value k , if the function ƒ (x) = is continuous at x = 4. -kx + 1, x > 4

A: We will find the value of k as following.

Q: Ex 2. Find the intervals of concavity for f(x)=x – 2.x³. 3

A: Given f(x)=x4-2x3 Differentiating with respect to x, f'(x)=4x3-6x2 Differentiating again with…

Q: x+k², ifx < 2 What value(s) of k will make f(x) = - continuous? %3D |kx + 10, if x 2 2

A: If the function is continuous then left limit is equal to right limit

Q: Determine the concavity and the x values where the points of inflection occur for :  y = x + 1/x -…

A:

Q: find all possible functions with the givenderivative. y' = 5 + 1/x2

A:

Q: •On what intervals) is the function y=-4x*+ (6x"n both increasing and cocave down?

A: Given,  The function  y = -4x2+6x17     We have to find the intervals in which function is both…

Q: At what interval is y= 2x3-3x2- 36x + 14 increasing? Decreasing?

A: Question is solved.

Q: At what points are the functions continuous? x + 1 y = x² – 4x + 3

A: Given  The function is y=x+1x2-4x+3.

Q: find all possible functions with the givenderivative. y' = 2x

A: According to the question, we have to find all possible functions with the given derivative y'=2x.…

Q: Find the value of a that makes the following function differentiablefor all x-values

A:

Q: At what points are the functions continuous?

A:

Q: e4z f (2) = 27 + 38 at how many points the function f (z) is discontinuous ?

A:

Q: Find extreme values of functions and where they occur Y = x 3 − 2x + 4

A:

Q: Q. 4 Find the absolute maximum and minimum values of f(x) = x³ + 5x2 – 7x over the closed interval…

A:

Q: Ex 5. Find the intervals of increase or decrease for f(x) = (x– 2) Vx² .

A: We have to find the interval where derivative of f is positive and negative

Q: Use the First Derivative Test to find the x-value(s) at which the function f(a) = + 4x? 2 9x? + 4…

A:

Q: Find the absolute extreme values of the function on the interval. F(x) = /x, - 27 sxs 64

A:

Q: Q3. At what points are the functions continuous y =-3x x+3 y = x2-3x-10' y = (2x - 1) X-2

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Give the interval where y is decreasing y=x²e^x

A:

Q: Find values of x where the function is not differentiable f(x)=lx-2l+3

A:

Q: a) Find and locate local extreme values off(x) = (x+ 1)^4−4x−2, (b) Then find the intervals of…

A: Given,            f(x) = (x+1)4 − 4x − 2

Q: Q3\ Determine if the given function is continuous or discontinuous at the indicated points 2_x x² +…

A: We have been given the function to us  2xx2+6x-7

Q: Sx? -1, x <3 f(x) = Continuous at x-3 ? (2ax , x 23

A:

Q: x+1 At what points is the function y = continuous? x2 - 6x + 5

A: To solve this problem we will use the concept of continuity of rational function.

Q: Find all points of discontinuity. g(x) = | x +3, if x>2 !! 8x, if x<2

A: Consider the provided function, g(x)=x2+3,   if x&gt;28x,        if x&lt;2 Find all the points of…

Q: Q.20 For the function f(x) = x2 ex, the maximum occurs when x is equal to

A: Introduction :

Q: Where does the relative maximum value off occur when f'(x) = x³ - x? (а). - 1 (b). 0 (с). 1 (d). 2 a…

A: Relative maximum

Q: Q5- Show that are eventually fixed point for the function: '5' 4x 0 <x < く 2 - 4x <xく f(x) = 4х - 2…

A:

Q: The absolute maximum of the function f(x) = 4x? 12x + 10 over [1, 6]. -

A:

Q: C- Find Z magnitude if the equation is continuity. x-2 x + 2 4- V14+x f(x) x= 2

A: Given equation is:

Q: For what value of x does the function f(x) 4x attain the absolute minimum in the interval [-3,5]? А.…

A:

Q: At what points is the function y = X 2 x + 5 - 13x + 40 continuous?

A: A rational function is continuous at all the points wherever it is defined.

Q: If f(x)=-(x² – 4), find (a) The x-intercept and the y-intercept (b) The interval where the function…

A:

Q: X + 1 At what points is the function y = continuous? x2 - 10x + 9

A:

Q: x+6 At what points is the function y = continuous? x-14x+48

A: If function f(x) is said to be continuous at x= a if f(x) is defined at x=a. limx→af(x) exist i.e,…

Q: f(x) = avbx – c - the x -axis and the line x = 17 using Trapezoidal Rule with 6 equal intervals if a…

A:

Q: interval

A: We have to find the increasing interval according to the given function

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.