Write the expression f(x)-L <ɛ, for the function f(x) = Vx , L =/2 , and ɛ = 0.5.

Q: Find the extreme values of the function f on the interval [-5, 13]. If an extreme value does not…

A:

Q: At what value of x does the function f(x) =x-2 x change from decreasing to increasing?

A:

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: How are the functions f and g given by f (x) = (1.05)ª and g (x) = eº.05z similar? How are they…

A:

Q: Select the correct answer for end behavior of the function: As a → -0, ƒ(x) → As x → 0, f (x) →

A: we have to check

Q: Use the function f(x)=x",x>0 to determine the bigger of the two numbers e' and a

A:

Q: At what value of x does the function f(x) = 3 x- x change from decreasing to increasing? %3D

A:

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

A:

Q: What is the domain of the function f(x, y) = x² /ỹ – In(x)?

A: topic -  function domain and range

Q: Sketch the graph of the function. f(x, v) = y? + 7

A:

Q: Differentiate f (x)  = e(1+x)3

A: Given: f(x) = e(1+x)3 To find: The derivative of the given function.

Q: Differentiate the function In e* 8.) y = ex 7.) f(x) = e** – In :

A:

Q: For what value of x does the function g(x) 2x concave downward? 1/3

A: The function is concave downward when  f '' (a) &lt; 0  at x = a

Q: Estimate L4 and R4 over [0,7] for the function f(x) = 2x?. (Use decimal notation. Give your answers…

A:

Q: 10) What is the domain of the function f(x) = Eo?

A: Domain

Q: What is the equation for g(x) ?

A: The answer is option (A)  g(x)=x+5

Q: Consider the implicit relation yx +1= 7y. In the box below, solve the equation for y as a function…

A: In this question, we have to separate y in terms of x.  i.e. y=f(x)

Q: For the function f(x.y.z)= 3+5xy"-2z*, find f,, f, and f. -口 fx = 5-口 fy=

A:

Q: Differentiate the function. f(x) = e2 f'(x)

A:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A:

Q: For the function f(x), defined graphically, state the value(s) of x where the function is not…

A:

Q: Graph the function y x over the interval |-1, 1].

A: Graph

Q: Differentiate the function.   y=e^0.5t

A: Refer to the question, we have to find the derivative of the provided function y = e^0.5t.

Q: Find the absolute extrema of the function y = √x - 9 on the interval [9, 45].

A: To find the absolute extrema of the function y=x-9 on the interval 9, 45.

Q: Express the function in the form   f ° g  ° h

A: The given function is Rx=x-1 It is required to show the given function in the form of fogoh. So,…

Q: find all possible functions with the givenderivative. y' = 2x - 1

A: Given y'=2x-1 that is  dydx=2x-1 Integrating with respect to x, ⇒y=x2-x+C Where C is the constant of…

Q: Find for the given function. w= 10z2 e?

A:

Q: Let f(x) = e*. What is f' (3)?

A: Differentiate wrt x

Q: Apply the definition to differentiate the following functions: 1- y = ₁

A:

Q: Try to guess a formula for f' (x) where f (x) = 2*. f' (x) =

A:

Q: For the function f whose graph is shown, list the following quantities in increasing order, from…

A: ∫0xfxdx represents the area under the curve where the area above the x-axis is positive and the area…

Q: Consider the function f(x) = -3x²³ +3x²-3x -\ Find average rate of change on interval (-4,-1). Find…

A:

Q: 2. Given the function f(x) = sinx and g(x) = x*, find the value of g(f

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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

A:

Q: Differentiate the function with respect to the independent variable. f(x) = - 8x+ e + e f'(x) = D

A:

Q: How do you find the domain and range for f(x,y) = ln(x+y)?

A: The given function:

Q: The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width,…

A: From given the volume function is fx=x3.

Q: Find the interval on which f(x) =x'e is increasing.

A: We find f'(x) using the product rule

Q: Differentiate the function with respect to the independent variable. f(x) = 2x° In xº f'(x) =O

A:

Q: f(x) = Vx – 7, write an equation defining f-1(x). Given

A:

Q: Consider the function y= g(I)= -z² + 3c + 6,

A: The derivative of the function f(x) with respect to x is given as .

Q: What is the slope of the function f(x) = x² + 2xy – y? = 3 at (1,1)? A. 0 B. No slope C. 1

A:

Q: Find  f' in terms of g' .

A:

Q: Find  f' in terms of g' .

A: Given function is fx=egx.

Q: Q2\Find T.E of the function f (x) = e2x when a =2?

A: Given that  f(x)=e^(2x) To find teh T.E

Q: Consider the function f (x) = 0+3 As the values for x continue to increase to positive infinity,…

A: Given: f(x)=xx+3