Jan 27, 10:06:00 AM Find the inverse function of the function f(x) = (3x)3 on the domain a > 0. of (2) = (3) %3D Of (2) = Of (x) = () Of (x)3= 3.

Q: Find the average rate of change of the function from X1 to X2. f(x)= -3x2-x from X1= 5 to X2= 6

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Q: Does y = e9-x* – 2 exist? What is the domain & range of the function if it does exist? (show full…

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Q: (a) Find the equation of the tangent line to the graph of the function f(x) = 3x² at the point (-2,…

A: (a)   Differentiate the function with respect to x is,   Substitute -2 for x in the above equation.

Q: f(x+Ax)- f(x) Using the first principle of derivative f'(x) = %3D Ax Ax-0 Differentiate: y 4x - 6

A: Derivative of the function

Q: Find the first derivative f' and the original function f. f"(x) = x³ – 4x + 6, f'(0) = 9, f(0) = 6…

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Q: The derivative to determine whether the function is strictly monotonic on its entire domain and…

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Q: The derivative to determine whether the function is strictly monotonic on its entire domain and…

A: We have given fx=1-x3-6x5 By differentiating the function, f'x=-3x2-30x4=-3x21-10x2 Now, we find the…

Q: (3) Let y = f(x) = x2 +1, evaluate the derivative of the inverse function x = f-(y) at y = 2. %3D

A: Given :           y=fx=x2+1

Q: Find the derivativeof the inverse of the following functions at the specified point on thegraph of…

A: To find: The derivative of the inverse of the function at the point 12,-3. Given: The function is…

Q: 75. F(x) has a negative derivative over (-, 2) and (5,9) and a positive derivative over (2, 5) and…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 3. y = 5x - sec (x) differentiate the given function

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

Q: can you explain..  differnate this function with the respect of x  F(x) = (x^8 + 3)ln x^5)

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Q: How do I differentiate this function using the chain rule: f(x)=[x^2/sin(x)]^6

A: Given,           The function is fx=x2sinx6.

Q: Find the average rate of change of f(x)= 5x^2 - 3 on the interval [2,b]. Your answer will be an…

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Q: Find the average rate of change of the function f(x) = 9/- 2x - 5 on the interval [2,4]. Give the…

A: In general, an average rate a change function is a process that calculates the the amount of…

Q: . Some of the highest tides in the world occur in the Bay ofFundy on the Atlantic Coast of Canada.…

A: given: the water depth as a function of time. Dt=7+5cos0.503t-6.75 calculate the derivative of the…

Q: nestion 6 Researchers have observed that the daily energy requirements of female Collies who are at…

A: Here we will find the total energy required for female collie between her second and fourth birthday…

Q: 28. Using the method of "First Principles" and showing all steps, determine the -3 2x-1 properly…

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Q: Find the average rate of change of the function f(x) = x² - 2x + 3 between x = -2 and 2 = 4. Type an…

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Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative.…

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Q: Assume a function such that Y = (2x410)/(6x² + 5x). Obtain the first derivative. O f'(X) = (8x³ -…

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Q: using the definition of derivative to find f'(x) for the function:f(x)=4/x. How do I solve this?

A: Given problem is to find the derivative of f(x) = 4/x

Q: Find the derivativeof the inverse of the following functions at the specified point on thegraph of…

A: The given function is;  f(x)=12x+8 ...............(1)    at  (10,4)

Q: Estimate L4 and R4 over [0, 3] for the function f(x) = 2x2. (Use decimal notation. Give your answers…

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Q: Domain of function f(x) = ln is (0, 2) O True False

A: Since you are asking multiple questions. We are answering only the first question. We have to check…

Q: The amount, A, of anesthetics that a certain hospital uses each week is a function of the number, S,…

A: It is given that;  The amount, A, of anesthetics that a certain hospital uses each week is a…

Q: 3. Suppose a car travels at a constant rate of 70 kph for 2 hours and travels 55 kph thereafter.…

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

Q: Find the average rate of change of the function ff(x)= −1x2+2x−2 on the interval x∈ [2,5]. Average…

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Q: 7–46 Find the derivative of the function. 8. F(x) = (1 + x + x²)9

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Q: x2 -4 b) By use derivative sketch the function f(x) %3D 2x

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Q: You are lying on the beach watching a balloon float upward at a rate of 2 meters/sec from a point 50…

A: The balloon floats upwards at a rate of 2 meters/sec. The upward distance traveled after t seconds =…

Q: Find the average rate of change of the function from x1 to x2. Function x-Values f(x) = −3x +…

A: Function      x-Values f(x) = −3x + 19      x1 = 0, x2 = 3

Q: e average rate of change of the function from Function X-Values f(x) = -2x3 + 8x2 + x X1 = 1, x2 = 8

A: Given : fx = -2x3+8x2+x

Q: 5. How do the average rates of change for f(x) = – 0.5x and g(x) = - 1.5x² over the interval -5 < x…

A: Given functions are f(x)=-0.5x2 and g(x)=-1.5x2 over the interval [-5,-2] We know that average rate…

Q: Find the first derivative f' and the original function f. "(x) = x' – 8x + 6, f'(0) = 5, f(0) = 8…

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Q: ion 29 óf 40 Find the first derivative f' and the original function f. f"(x) = x - 8x + 10, f' (0) =…

A: I am attaching image so that you understand each and every step.

Q: Estimate L4 and R4 over [0, 3] for the function f(x) = 4x². (Use decimal notation. Give your answers…

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Q: 3- Determine two functions g(x) and h(x), neither of which is constant, so that f(x) =f(x) = g(x) 0…

A: The two functions, gx=x2+1x2-1 and hx=x2+1x2+2 such that fx=x2+1x2-1x2+1x2+2. The function is…

Q: The function of position of an object in motion with respect to time is obtained by fa] a.…

A: By integrating the acceleration with respect to time we get the velocity of an object. dx/dt…

Q: differentiate y= (4x + 3)2 using the Chain Rule. a. What is the outer function? b. What is the…

A: Given, y=(4x+3)2 differentiate using the chain rule.     Find:  a. What is the outer function? b.…

Q: Find the inverse of the function and differentiate the inverse in two ways. (i) Differentiate the…

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Q: Find the derivative of the inverse of the given function at the specified point on the graph of the…

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Q: QUESTION 1 Is The Function x+2x-4 Increasing or Decreasing at the Point (-1, -7)? Explain Why? O a.…

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Q: Find a general formula for f.(n) f(x)=(x-7)-1 Talking about formula to find any derivative

A: Given:

Q: Find the first derivative f' and the original function f. f"(x) = x' - 10x + 8, f' (0) = 4, f(0) = 2…

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Q: Module 4: Participation Activity #2 p>Find the second derivative of f (x) = a4e" . f" (x) =

A: Given function is Differentiating with respect to x using product rule of differentiation, we get…

Q: 4. Using the expression (x + Ax)² = x" + nx-Ax +n(n – 1)x"-²Ax² + + Ax" ... prove that if f = ax"…

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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.