Use a graphing utility to construct a table of values for the function. f(x) = (1/5)-x   1 5   −x   x −2 −1 0 1 2 f(x)           Sketch the graph of the function.

Q: Find f'(-3) if f(x) = - 7x. f'(-3) = (Simplify your answer. Type an integer or a fraction.)

A: Given f(x)=x48-7x To find f'(-3)

Q: Consumer expenditures, in millions of dollars, on all types of books in the United States for the…

A: Given the consumer expenditure in millions of dollars as,  Bx=28,660e0.0487x, where x=0 represent…

Q: rational functions solve suppose it costs C dollars ( in billions) to build X miles of a wall…

A: A)C(x)=0.425 x1954-xwhere, x is the miles of the wall.cost to build 1000 miles of…

Q: Find f'(-3) if f(x) =7 - 6x. f'(-3) = (Simplify your answer. Type an integer or a fraction.)

A: we have to find

Q: 1. The function f(x) = 70x² can be used to estimate the BMR of mammals and many other types of…

A: The function that used to estimate the BMR (Basic Metabolic Rate) of mammals is f(x)=70x34. where x…

Q: Use a graphing utility to construct a table of values for the function. f(x) = (1/5)-x  The  second…

A: We can use the graphical utility in order to solve the given problem.

Q: What is the domain of the function f(x)=ln(x+2/x-4)? Discuss the result

A: The domain of a function are all values of the function variable , at which the function is defined.…

Q: Solve and graph the Piecewise Function. h(x)=       1 when x ≤0               x+1  when 0 <x<2…

A:

Q: Find f'(-2) if f(x) = 3 -7x. f'(-2)= (Simplify your answer. Type an integer or a fraction.)

A:

Q: The function f(x) = 20(0.975)x models the percentage of surface sunlight, f(x), that reaches a depth…

A:

Q: 1. Using Calculus, find the intervals of increase and decrease for f (x) x2 – 2x + 4 %3D Discuss the…

A:

Q: Consider the function below. f(x) = The cubed root of (x3 + 5x2 − 12x − 36) Find its domain. (Enter…

A:

Q: Is the function a power function. If it is, write it in the form f(x) = kxP, and state the values of…

A:

Q: Find the area (in square units) of the region under the graph of the function f on the interval [−2,…

A:

Q: Find the open interval(s) where the following function is increasing, decreasing, or constant.…

A:

Q: Sketch the graphs of the functions.   f(x)=square root of x and g(x)=x^2         Find the area of…

A:

Q: The profit P, in millions of dollars, that a manufacturer makes is a function of the number N, in…

A: We have the profit function  P(N)=10N-N2-5.14

Q: (a) Graph the functions ƒ(x) = x/2 and g(x) = 1 + (4/x) together to identify the values of x for…

A: To identify the values of x for which x /2 &gt;1+(4/x).Part a) Graphically using the functions f(x)…

Q: Using a model of the prototype ball thrower, a ball is fired into the air with an initial upward…

A: Given that height of the ballht=-16t2+48t+41.if balls reaches maximum height then…

Q: Rewrite the function in the f(x) = a(x − h)2 + k form by completing the square. f(x) = 4x2 + 8x − 1…

A:

Q: A ladder of length L is placed so that it rests on top of a 4-foot wall and leans against a building…

A:

Q: 3. A function is negative over the intervals {x|-∞<x<-3} and {x|-1<x<7}. What are the zeros for the…

A: According to our company's guidelines, I can only answer first  half of the question, since you have…

Q: Il values of x for which the graph of f lies above the graph of g. (Enter your answer using interval…

A:

Q: Find f'(-4) if f(x) = 4x. 3 f'(- 4) = (Simplify your answer. Type an integer or a fraction.) Туре

A:

Q: How do the graphs of the functions f (x) = |2| and g (z) = 3f (z)+5 compare? %3D O The graph of…

A:

Q: a. Graph the functions ƒ(x) = 3/(x - 1) and g(x) = 2/(x + 1) together to identify the values of x…

A: Graph the functions ƒ(x) = 3/(x - 1) and g(x) = 2/(x + 1) together.

Q: A function A= 0e^-0.01386x  models the amount in pounds of a particular radioactive material stored…

A:

Q: The function f(x) = -0.001922 +0.8444x + 5 models the height of a launched rocket. The function…

A: To find the height that the rocket was at along its path

Q: Find the (implied) domain of the function. (Enter your answer using interval notation.) g(x) = The…

A:

Q: A culture containing 20 micrograms of bacteria doubles everyday. Write the formula for function f…

A:

Q: Consider the function below. f(x) = The square root of (x3 + 5x2 − 12x − 36) Find its domain. (Enter…

A:

Q: Use the graph of the function f(x) =ax^2 +bx+c given below, what can you say about the value of a…

A: Given the graph of the function f(x) = ax2 + bx + c Among the four options we have to one which…

Q: Find the domain of the function using interval notation. f(x) =    16 − 15x   Find the domain of…

A: To find The domain of the given functions

Q: a. Graph the functions ƒ(x) = x/2 and g(x) = 1 + (4/x) together to identify the values of x for…

A: To identify the values of x for which x2&gt;1+4x. (a) Sketch the graph of the function f(x)=x2 and…

Q: Is the function a power function. If it is, write it in the form f(x) = kx, and state the values of…

A:

Q: Handwritten # 4.- In the year 2012, the population of Clackamas County was 340 thousand people. In…

A:

Q: Find the domain of the function. 5 f(x)= 6 X+ 2 x + 13 The domain of f(x) is (Type your answer in…

A:

Q: Let h(æ) = f(x) + g(x). If f(x) = x and g(x) = 6x, what is h' (-3)? Do not include "h' (-3) =" in…

A:

Q: Apply the properties of functions to correctly determine and interpret the break-even point in the…

A: Calculation of above requirement are as follows.

Q: 1 Find the domain of the function f(x) = What is the only value of x not in the domain? 2x + 9 Only…

A:

Q: Out-of-pocket spending in a country for health care increased between 2002 and 2006. The function…

A:

Q: Express the function in the form f∘g: H(x)=4+x

A: We have given Hx=4+x fog means fgx So, fgx=Hx=4+x Therefore, gx=x+4 And fx=x Therefore, we can write…

Q: f(x) = - x(x - 2)(x - 3)(x + 3) %3D | How many zeros does the function have? Even or Odd? Positive…

A:

Q: Using first principles, (a) Show that (f(x)-8(x))'= f'(x)-g'(x).

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Current Attempt in Progress The domain of the function g(x) is –9 < x < 2. What is the domain of g(x…

A:

Q: The function f(x) = 0.43x + 12.6 can be used to predict diamond production. For this function, x is…

A:

Q: Solve. The function A = Age-0.01386x models the amount in pounds of a particular %3D radioactive…

A: Decay model

Q: Description if f(x) = 2x+3 g(x) = 2x2 – 4x +5 h(x) = f(x)+g(x) a) find h(x) b) find h(2) c) find…

A: Use of addition of functions and subtraction of functions,

Q: Let F(x) = x2 - 4 and G(x) = 17- x. Find (F- G)(4). ... (F-G)(4) =| (Simplify your answer. Type an…

A: Solve the function

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.