Compare the graphs of the two functions f(x) = 2* and g(x)/ Determine the equation of (x). 15. g(x) =-2*

Q: Differentiate the function using the three step rule. Show your solution. f(x)=(x)/(√(x-4))

A: You must have idea about three step differentiation method.

Q: 1 Is y=x03 a power function? Explain your reasoning. 4

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Q: 11. Please explain how to get the domain, y-intercepts, zeros of the function, the x-intercepts,…

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Q: A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which…

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Q: 15,000 blue trout were released into the Meherrin river for a scientific study. The function, f(x) =…

A: Here, Given population function, f(x) = 15,000 (9/8)^x We have to find In 5 years what will happen…

Q: Describe the graph of f (x) = ex

A:

Q: Find the average rate of change of f(x) = 3x² – 9 on the interval [3, a]. Your answer will be an…

A: The average rate of change of function over an interval [a,b] is given by  f(b)-f(a)b-a

Q: #3 The project worth Cin millions of dollars) of a large company is modeled by the equation…

A:

Q: 5. When sign analysis is very effective for determining whether a function is increasing, decreasing…

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Q: Between 2006 and 2016, the number of applications for patents, N. grew by about 4.5% per year. That…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Researchers in a certain country investigated how having daughters influences voting voting records…

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Q: Could xn2 possibly be the same as 2h* for some x > 0? Graph the two functions and explain what you…

A: We have given  functions xln2 and 2lnx. Yes these functions could be the same for some values of…

Q: A team of researchers finds that there is a relationship between the overall health of a forest…

A: Given function: fx=13x3+676x5+39 where, x is in tens of thousand of beetles. f(x) is thousands of…

Q: Suppose and investment's value, V, can be tracked with the function v(t) = 932(1.005)120), www. ,…

A: Option D is correct answer. Detailed solution is given below.

Q: Find an equation of the line tangent to the graph of f(x) = (5x-9)(x+6) at (2,8). The equation of…

A: This question is based on application of derivative to find slope of tangent line.

Q: When a company charges p per unit, it can sell 100 − 2p units. What is the revenue function?" I'm…

A: Given that:-price per item=punits of item sold=100-2pTo find: the revenue function

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A:

Q: Sketch the graph of the function by first making a table of values. fx) = -x + 4, -4 sxs 4 f(x) = -x…

A: Given: F(x)= -x+4

Q: 14. Use the curve sketching procedure to analyze the function. а. у-х*+x*-20х

A: since you have asked multiple questions in single request so we will be answering only first…

Q: Two students were playing the same game. The difference in points that each scored for the game can…

A: answer : 3.592 seconds y = 5sinx+3sinxcosx and y = -1 -1 = 5sinx+1.5sin2x therefore x = 3.592

Q: A team of researchers finds that there is a relationship between the overall health of a forest…

A: We need to find maximum number by drawing graph.

Q: Help! The exponential function f takes the value 10 when x=1 and 30 when x=2.  What is the…

A:

Q: Consider the function f(x) = 4/¤ + 2 on the interval [4, 5].

A: Given function is, f(x)=4x+2

Q: Find the average rate of change of f(x) = 2x² - 7 on the interval [2, a]. Your answer will be an…

A:

Q: Scientists in Malaysia have collected data revealing that there is a linear relationship between the…

A: Ix=2.41+0.12x (a) Substitute 70 for x into provided linear model. I70=2.41+0.1270=2.41+8.4=10.81 cm…

Q: Which description best describes functions which are increasing on a specified interval? On a graph,…

A: If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I.

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given : C(t) = 8(e-0.4t - e-0.6t)   To find the maximum concentration of the antibiotic during the…

Q: Find the average rate of change of f(x) = 9x² – 3 on the interval [2, t]. Your answer will be an…

A: Use formula of avg rate of change

Q: what point is on the graph of a function f with equation fK): 1og,x, regardless of the value of b?…

A: fx=logbx   We have to find the point on the graph of the function f,…

Q: A rectangular piece of sheet metal with a perimeter of 50 cm is rolled into a cylinder with two open…

A: a. Given that, a rectangular piece of sheet metal with perimeter 50 cm is rolled into a cylinder…

Q: An analysis of passenger traffic at Daytona Beach International Airport over the past 40 years shows…

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Q: linearization

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Q: Find the value of the function f(-x)=?

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Q: for the function, find the relative maxima, relative minima, and horizontal points of inflection.…

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Q: 22.) Whether Determine the equation represents a y Function of X. as 2 x² - y = 9

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Q: Suppose you have entered a 51​-mile biathlon that consists of a run and a bicycle race. During your​…

A: Solution:

Q: у 3 х — 2 - y? = What are the points of intersection of these two functions?

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Q: lue of x, if the g 5 10 is singula

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Q: Find the point on the graph of the function that is closest to the given point. (х) 3 (x - 1)2, (-5,…

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Q: i. Find the equation of a power function through the points (16, 24) and (81, 81). y

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Q: Find the point on the graph of the function that is closest to the given point.

A: Given:

Q: 4. What is the equation for the function shown here? 2

A:

Q: 9. Find the slope of f(x) = (x+2)2 +5 at the point (3,-4)

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Q: My square orchid garden abuts my house so that the house itself forms the northern boundary. The…

A: The square orchid garden abuts the house so that the house itself forms the northern boundary. So,…

Q: The exponential function f takes the value 10 when x=1 and 30 when x=2. 1. What is the y-intercept…

A: For the function, y=f(x), the independent variable is x and the dependent variable is y. The…

Q: The graph of linear function f passes through the point (1,-9) and has a slope of -3.   What is…

A: Given for a linear function , Slope =-3 and passes through (1,-9)

Q: 3. When can you say that the function is an implicit function?

A:

Q: Describe the graph of f(x) = ex

A: Given: f(x) = ex To describe: The graph of f(x) = ex

Q: 30. In modeling the reaction of a drug in the patient's body, the daily dose of the drug in the…

A: Here first we find a sequence of amount of drug given at nth time and then will find the limit of…

Q: Locate the discontinuities of the function. 10 y = 2+e3/ X =

A: y=102+e3x Now, limx→0-102+e3x=102+0=5 & limx→0+102+e3x=102+∞=0

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.