(Kx 04x< 2 fcx) (3 x² 2€x メ ○ト×

Q: Find the value of the constant k that makes the function continuous.

A: A function is relation between set of inputs and output. The piece-wise function is a function which…

Q: im (x²-C² if X<4 1 f(x) = {(x+5 x²-c² (x + 5 if x = 4 lim

A: Given:-x2-c2   if x&lt;4cx+5    if  x≥4f(x) is continuous at x=4solution:-if f(x) is continuous at…

Q: Find the intervals where the function f(x) = 1 + 2x – x2  is increasing and where is decreasing.

A: NOTE: Refresh your page if you can't see any equations. . here we have an equation of a parabola…

Q: On what domain is the function f(x) = 3 + V5x – 20 continuous?

A:

Q: For what value of x does the function f(x)=1/3x3-4 attain the absoulte maximum in tyhe interval…

A: Put derivative zero for maxima and minima

Q: Find the absolute extrema for f (x) = -x² – 1 over [-2,2] .

A: Please refer the attached image for complete solution.

Q: IS The function f(x)=\x3 Find The value of K, to continue The Function Con tinuous in intervaln X-2…

A: Answer

Q: f(x) = z²+6x+5 x-1

A: On solving this we will get

Q: 3x+8x74 F(x)=(7x-K x<4 X=4 11

A: Given f is continuous at x=4

Q: Find the absolute extrema of f(x) = x3 +5x2-8x+2 on the interval [−1, 2].

A: Given function is fx=x3+5x2-8x+2 ; x∈-1, 2

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: Find the absolute extrema of f(x) = x³ - 6x - 1 on the interval [-2,3].

A:

Q: Describe how you could use the graph of f(x) = 2" to obtain a decimal approximation for V2.

A: y=2x

Q: Determine the interval(s) for which f (x) = - 2x² is concave down. 12 %3D

A: For the curve y=f(x) to be concave downward,  f"(x) &lt; 0.

Q: Find the value of k that makes function continuous at x = 4 3x + 6 x > 4 f(æ) = 6x – k x <4

A:

Q: For what value of the constant c is the function f continuous on (-∞, 0)? cx2 + 8x x3 - cx if x < 5…

A:

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

A:

Q: Find the absolute extrema of f (x) = 2x – 3x² – 12x +1 on the interval [-3,3].

A: fx=2x3-3x2-12x+1 Differentiating with respect to x, we get f'x=23x2-32x-121+0=6x2-6x-12 Now to find…

Q: What is the length L of the interval on which the function f(x)=x4e−x is increasing?

A: Given

Q: Determine the interval(s) for which f(x) =- - 2x2 is concave down. 12

A:

Q: Use the graph of f(x)below to answer the question. 3 On which of the following intervals is f(x)…

A: Given, Graph of the function f(x) We have to find the intervals where f(x) is continuous

Q: In the fucntion:  f(x)= (12-3x)(e^x)  When is the function concave up and concave down in interval…

A: Given,f(x)= (12-3x)(e^x) By definition,

Q: Find the value k that makes the function continuous. kx + 14, х > 2 f (x) = 11x + 2, x < 2

A:

Q: Find the extrema of f(x) = 3x4 − 4x3 on the interval [−1, 2].

A: The given function f(x) = 3x4 − 4x3 on the interval [−1, 2].

Q: 3. Is the function given by (x²-4x-5, x<5 F(x)= x+1, x25 continuous at x = 52 why or why not ?

A: Given function, f(x)=x2-4x-5;x-5;x&lt;5x+1;x≥5; The objective is to tell whether the function is…

Q: The limit of f(x) = sqrt x as x approaches 9 is Infinity 3

A:

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

A:

Q: Find the value for k so that the function will be continuous at x = 2. 4x + 16 if x 2

A: The function fx is continuous at x=a, if limx→a-fx=limx→a+fx It is given that fx=4x+16if…

Q: Find the value of the constant c such that the function f(x)= (x-2)/( (root 4x+1)-3) if x#2, c if…

A: And

Q: Use the Intermediate Value Theorem to show that the graph of f(x) = 4tan(x) – x + 1 intersects the…

A: Please note that according to guidelines only first Q is solved. Please repost the other question.

Q: On what domain is the function f(x) = 3x + 5x + 6 continuous?

A: The given function is, fx=3x2+5x+6

Q: For the function f, how would you remove the discontinuity? In other words, how would you define…

A:

Q: At which interval of x is the function of P(x)=(sqrt(1-x^2)) discontinous?

A:

Q: Find the areas below. a) Between the graph of f(x) = 50 + 3x² and x-axis over the interval [-2, 4].

A:

Q: 4x-8 i- -2 x +3a

A:

Q: given the function f(x)=axln(x+b), where function is decreasing at x=1-b?

A:

Q: Find the absolute extrema of the function ƒ(x) = 3x2/3 - 3x5/3 on the interval [0, 8].

A: Given ƒx = 3x2/3 − 3x5/3 on the interval 0, 8.

Q: Investigate the continuity of the function at x=3. S-2x +4 if x23 f(x)x-1 fx<3 At x3

A:

Q: : Find the value of k that makes function continuous at x = 4 %3D 3x + 6 x > 4 f(x) = 6x – k x < 4 -

A: To find: The value of k

Q: Find the absolute extrema of f (x) = x-12x on the closed interval [0, 4].

A: The given function is, fx=x3-12x The interval is 0, 4

Q: Find the absolute extrema of f(x) = 2x3+3x2−12x on the interval [0, 2]

A:

Q: How should the function f(x)=x²-25/x+5 be defined at -5 to make it continuous at -5?

A:

Q: Find the value of K that makes 4-x2 f(x) = {2-x if x # 2 2K if x = 2 continuous at x = 2 ?

A: Find the value of k

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: Examine whether or not the function fx' - 2r +1 ifxs 2 S (x)= x'-2r +1 [3x-2 if x>2 Is continuous at…

A: Given function, fx=x3-2x+1,     if x≤23x-2,            if x&gt;2 To find the continuity of the…

Q: How would you "remove the discontinuity" of f ? In other words, how would you define f(4) in order…

A: Given information: The function is f(x)=x2-2x-8x-4. Calculation: Solve the f(x)=x2-2x-8x-4.…

Q: 4) Where is the function g(x) = 3x2 -x+ 5 differentiable?

A:

Q: Find the value for k so that the function will be continuous at x = -4. f(x) = 7x + 47 -x² + 18x81+k…

A: Topic = Functions

Q: For what value of x does the function f(x) = x³- -4x attain the absolute maximum %3D in the interval…

A: Given that : The function f is  fx=13x3-4x   ,..........(1) To find: The value of x∈-5, 5 for which…

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.