For the following questions, determine i intervals where f is increasing or decreasing, ii local minima and maxima of f i intervals where f is concave up and concave down iv the inflection points of f, and v use limits to determine if any asymptotes exist b) f(x) 10-8z

Q: 2log(x)-log2(x-3)=2

A: Given: -

Q: can you help me step by step with this problem?

A: Let z= 6x^2+1 Substitute that. Then take d/dx on both sides.

Q: What is the exact value of cos x if the point (-4,2) lies on the terminal side of n angle x when dra...

A: Given: -

Q: Find f'(a) for f(x)=x-2

A: Obtain the first derivative of the given function as follows.

Q: The average price paid by the synfuel industry for a short ton of coal between 2002 and 2005 can be ...

A: Given,

Q: A tank is 10 m long, 6 m wide, 4 m high, and contains kerosene with density 820 kg/m3 to a depth of ...

A: It is given that the tank is 10 m long, 8m wide, 4m high and the density of the tank is 820 kg per m...

Q: Hi I need some help with this continuity problem Please cite the continuity theorems thank you

A: Given:

Q: 2.6 Can you show me the steps to solve this problem? Directions: Find dy/dx by implicit differentiat...

A: Differentiate both sides with respect to x,

Q: Find the derivative of the function using the definition of a derivative. State the domain of the fu...

A: The derivative of g(t) with respect to t is defined as

Q: see attachment

A:

Q: use marginal cost to approximate the cost of producing the 21st food processor.  C(x)=2,000+50x-0.5X...

A: Given:

Q: A boat is travelling due west at a speed of 47miles per hour. If the boat started off 170miles direc...

A:

Q: i was not quite taught how to do this

A: Given function is

Q: What is the antiderivative of e^(x/5)?

A: Given:  

Q: Use the given graphs of f and g to evaluate the expression. (Assume that each point lies on the grid...

A: From the given information, the expression is g (f (4)).

Q: can you help me step by step with this problem?

A: Given,

Q: Can you help me step by step?

A: To differentiate the function y with respect to the parameter t, given y as a function of x.

Q: Find the exact length of the curve. 1 х 3 1 s y s 2 4y2

A: Given:

Q: Can you help me step by step?

A: Given information:

Q: Differentiate f and find the domain of f. (Enter the domain in interval notation.) f(x) = ln(x2 − 2...

A:

Q: find the revenue R(X) from the sale of x pairs of running shoes. what is the domain of R?  x= 4,000-...

A: Given:

Q: Hi, I need help explaining question #59, please. Thank you.

A: We will use the definiton of derivative to find f'(0).

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A: The given equation is,

Q: express the price p in terms of the demand x, and find the domain of this function  x=4,000- 40p

A: Given an equation in terms of x, 

Q: Find the derivative of the function 3 tan (x- 2 1 x y

A: Given:

Q: Use logarithmic differentiation to find the derivative of the function Зx VX у 3 У'3

A: To differentiate the following function

Q: Find an equation of the tangent line to the curve at the given point. y = ln(x2 − 6x + 1),    (6, 0...

A: Equation of the line to the curve at the given point is shown below.

Q: The average price paid by the synfuel industry for a short ton of coal between 2002 and 2005 can be ...

A: Consider the given function,(a)According to the limit definition of the derivative P’(t) is given by...

Q: If f is the functions whose graph is shown, let h(x) = f(f(x)) and g(x) = f(x2). Use the graph of f ...

A:

Q: Determine two functions, defined on the interval  ( − ∞ , ∞ ) , whose Wronskian is given by  W ( f 1...

A: To determine two functions having the prescribed Wronskian and decide on their linear independence

Q: Let f(x)= x2/3(3x-6)2 Find the x-coordinate of the critical point(s) of f(x). Find the interval(s) ...

A: Hello, thanks for the question. Since we only answer up to 3 sub-parts, we’ll answer the first 3. Pl...

Q: find second derivative  number 5

A: Given: -

Q: > Question 3 of 16 Determine the derivative of the function h with a domain {x | 0 x < T} cot (x) h(...

A: To find the derivative of the function h(x)

Q: Can you help me step by step?

A: Given function is

Q: Find (without using a calculator) the absolute extreme values of the function on the given interval....

A: compute the first derivative as follows.

Q: Verify that f has inverse function then use function f and the given real number a=2 to find (f-1)1(...

A: Given information:

Q: find derivative of the transcendental function number 6

A: Consider the given function:

Q: Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify y...

A: Given, 

Q: Video Example Differentiate y = x7Vx EXAMPLE 8 SOLUTION Since both the base and the exponent are var...

A: To find the derivative of the below function

Q: Can you help me step by step?

A: Let y = f(u) then solves the derivative by applying the chain rule:

Q: x 7 Use a computer algebra system to compute f(x) for 1 k 16 Let f(x) 4. Then, determine the general...

A: Given,

Q: A graphing calculator is recommended. In this problem you are asked to find a function that models a...

A: (a) Obtain the function that models the volume of the box as follows.

Q: Problem 7 Parts A and B please

A: To find first derivative , apply quotient rule

Q: I need help with solving f'(4). Please explain. Thank you

A: If  y = f(x) is a function, then dy/dx given the slope of tangent to the curve at any required point...

Q: (a) Assume h(a) = f (c)g(a) , f( )=-4, f' () =5, and g(x) = cscx. Find h (x). (b) Find h' using the ...

A: (a)

Q: can you help me step by step with this problem?

A: To find the derivative of y with respect to t.

Q: > Question 2 of 16 Find the rate of change of the reciprocal function f(x) = - with respect to x whe...

A: Recall the following fact.

Q: 3x=2x+1

A:

Q: Assume that f ' (x)≤ M for a ≤ x ≤ b. One can show by the Mean ValueTheorem that f (b) − f (a) ≤ M (...

A: From the given information, f(x) = x1/2, a = 16 and b = 17, then find bounds for f (17) = 171/2.

Q: step by step help please

A: Given: