Consider the function f(x) = 2/x + 2 on the interval [4, 8]. Find th function on this interval.

Q: Ax, y) = In(x +y)

A: In this question, we have to find the domain and range of f(x,y)=lnx+y As we know that the domain of…

Q: Use the first and second derivatives of (x)= x - 3x + 1 to determine the intervals on which f is…

A:

Q: The function f(x) = x* - 18z is increasing on the intervals

A:

Q: Use the second order derivative test to find local exterma of the function  f(x) =x3-9x2-48x+72 on…

A:

Q: Verify Rolle's theorem for f(x) = x* – 4x+8 over the interval [0, 2].

A:

Q: Differentiate the function.      f(x)  =        ______1______                            In x

A:

Q: Consider the function f(x)=5x+6x^2 over the interval [0,1].

A: Given that :-         f(x) = 5x+6x2 over [0,1] (a)  By deviding the interval into n sub intervals of…

Q: Use the first and second derivatives of f(x) = x³ – 3x² + 1 to determine the intervals on which f is…

A:

Q: Define the function f(x, v) = 4x³-x³y-4y5 3x5-3y5 at the origin so that it becomes continuous there.

A: A function is said to be continuous at (a,b) if the the value of function at (a,b) is equal to…

Q: Q4: Use the limit definition to compute the derivative, f(x), for 2.F(x) = Vx³ – x

A:

Q: Let f(x) = 2x2 + x. Determine f'(1) using the definition of the derivative as a limit.

A:

Q: For f(x) = sinx, compute f ' at x = 0, π/6 , π/2 , 5π/6

A: Given, fx=sin x

Q: The function is on the interval くx< (segment 1), on the interval くく |(segment 2), and

A:

Q: Does the MVT apply to f(x) = - on the interval [1, 4]?

A:

Q: Let I be an interval disjointed from {-1, 1} . Prove that the function f(x) = x + (1/x) is…

A:

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

A: Solution

Q: Find a function f such that  f '(x) = 5x3  and the line  135x + y = 0  is tangent to the graph of…

A: Consider the given derivative function f'x=5x3

Q: Determine the open intervals where the function f(x)= xe^x is increasing and where it is decreasing.

A:

Q: differentiate the follouwing 243 a) f(x)=2x°-in/x|+3 arccos (X)

A: Since you have asked multiple questions in the same request, as per the policy, only the first…

Q: Use the definitions of increasing and decreasing functions to prove that       f(x) = x3 is…

A:

Q: Let I be the interval disjoined from {-1,1} .Prove that the function f(x) = x+(1/x) is…

A: Given that I is any interval disjoint from [-1,1]. Let I=(-∞,-1)∪(1,∞) f(x)=x+1x To show f(x) is…

Q: Is the function given by f(x)=x^2+3x/2x-1 continuous over its domain?

A:

Q: Find the domain of the function. Express the exact answer using interval notation. f(x) = To enter…

A: Consider the function  f(x)=25x+8

Q: Find f'(1) for f(x) = In(v6x – 3).

A:

Q: Consider the function f(x) = 1 - 7x² OI function on this interval, i.e. f(3)-f(-4) 2 4)

A: answer is in next step . please give a like !!

Q: Find a function f such that f'(x) = x4 and the line 2x - y = 3 is tangent to the graph of f.

A: Given that

Q: Find a function f(x), such that f"(x) = 3sin(4x). %3D

A:

Q: The function f(x)=/25-x' is contionous on

A: It is continuous function.

Q: 24, Find the domain of H function fw =J 2x+3 -1

A: Given,

Q: Find the constant a such that the function is continuous on the entire real line. (8x?, lax – 6, x2…

A: Given function f(x) = 8x2-x≥1ax-6, x&lt;4we find constant 'a' such that the function is continuous…

Q: Use Secant Method to calculate the root of a function f(x) = e-*(3.2sinx – 0.5cosx) on the interval…

A: To use decant method to calculate the root of a function

Q: Find the absoltute extrema of the function f(x)=x"-32x+256 on the interval-5,5

A:

Q: Let f(x) = V5x + 2. Find the derivative f'(x) using the limit definition.

A: We have to find derivative

Q: Find the values that make the piecewise function continuous: 2, XS-1 f(x) = ax + b, -1<x< 3 x2 3 -2,

A:

Q: Show that the function f(x) = 1 – I - x² is continuous on the interval [-1, 1].

A:

Q: Find the domain of the function using interval notation. f(x) = -2x (1- 1) (r – 7) To enter oo, type…

A:

Q: Find all the x-intercepts of f(x)=cos(x) on the interval [0,2π)

A:

Q: Describe the domain and range of the function. f(x, y) = In(xy-1) Dor

A:

Q: Find the constant a such that the function is continuous on the entire real line. 5x², ах — 7, f(x)…

A: For a function to be continuous, the value of the left and right limits at critical point needs to…

Q: Is the function f(z) = (x2 - y2) + 2xyi entire? Why or why not?

A:

Q: Let I be an interval disjointed from (-1,1) Prove that the function f(x) = x + (1/x) is increasing…

A: Solution: Consider the given function is: f(x) = x + 1x    ...(1) Also, the given interval Let I is…

Q: Use the second derivative to determine f"(3) for the function f(x) = x² In (x) 2ln(3) +2 O 3ln(2) +3…

A: topic - derivatives