Describe verbally the transformations that can be used to obtain the graph of g from the graph of f.   ​g(x)=2e^−(x+4)​ ​ f(x)= e^-x

Q: Create a derivative word problem that includes a real-life application of Derivatives, in this case:…

A: Application of Derivatives in Real Life- •To calculate the profit and loss in business using graphs.…

Q: Differentiate the two most common methods use for depreciation.

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Q: The method of u-substitution is the integral analog of the chain rule of derivatives and the method…

A: Let say we have two functions f(x) & g(x)Now combine the function f(g(x))Hence, the derivative…

Q: limit.

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Q: Locate any relative extrema and points of inflection. Use a graphing utility to confirm your results…

A: Here, By taking derivative Now, find a critical point by considering y’=0

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Q: derivative of (√2)^csc4x

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Q: Differentiate the function. f(x) = ln  7   x f '(x) =

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Q: According to on of the derivative, lim (Enter the simplified form of the difference quotient) (Enter…

A: Using formula :

Q: Explain how to graph a function given the graph of the derivative function. Note that the answer is…

A: Perhaps the most obvious are the extreme. Because we know that the tangent line is always horizontal…

Q: valuate the second derivative of the function at the given point. Use a computer algebra system to…

A: The derivative of the square root function is calculated using the formula ddxxn=n·xn-1. The value…

Q: Calculate root and error %. Find the root of the equation fx=ln(x)-5+x in the interval [2.5, 3.0]…

A: Consider the given information.

Q: A circle is inside a square. The radius of the circle is increasing at a rate of 1 meter per day and…

A: Explained below

Q: Locate any relative extrema and points of inflection. Use a graphing utility to confirm your…

A: Maxima or minima: y = F(x) is any function and let assume x = a is any critical point then, If y'…

Q: Find first and second derivative, critical points, concavity, x and y intercepts, vert and horz…

A: This question contains multiple sub-parts and you have not asked any specific sub-part. As per the…

Q: The altitude (i.e., height) of a triangle is increasing at a rate of 2 cm/minute while the area of…

A: Let A be the area of the triangle with height h and base b.Given: dAdt=4 cm2/min         dhdt=2…

Q: Describe the First Principle method and the Power Rule method for finding the derivative. Which…

A: In first principle method the slope of the curve is used as a derivative This is called the first…

Q: Describe how to find the anti-derivative of a polynomial using the power rule.  Gave an example in…

A: The reverse power rule tells us how to integrate expressions of the form xn, where

Q: A cylindrical can is partially filled with water. The radius of the cylindrical can is 8 inches, and…

A: The volume of cylinder is given by V=πr2h.

Q: The photic zone of the ocean is also known as the sunlight layer. It is the region in which phyto-…

A: This is a problem related to variation in photon emission curve. Please follow the general procedure…

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: The chain rule is used to differentiate a function which is the multiplication of two functions. Let…

Q: A particle moves along the curve below . Y = squares root 1+x^3 s As it reaches the point (2,3) ,…

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Q: A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 cm. by 15 cm. by…

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Q: A box is partially filled with liquid. The length of the box is 18 inches. The width of the box is…

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Q: Locate any relative extrema and points of inflection. Use a graphing utility to confirm your results…

A: Given: y=2x- ln 2x

Q: Measuring the height of a Yellow Meranti is very difficult because these trees grow to heightsover…

A: The regression output for Height as the response variable and "Diameter at breast height" as the…

Q: In finding the derivative of a root (a cube root in this case), where are all of these numbers…

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Q: What is the rule for calculating the derivative of a composition of two differentiable functions?…

A: Let f(x) and g(x) be two differentiable functions and their composition is

Q: eliminate the constant using any methods (by isolation of constants or by differentiation and…

A: Given: xsiny - ycosx = c We are using the method of differentiation to eliminate the arbitrary…

Q: What is the derivative of f (x) = 3x³+2x using the limit definition (please use delta x if possible)

A: A detailed solution is given below

Q: Zez analytical function or not?

A: We check whether w=zez is analytic function or not.

Q: What is the general Chain Rule? What form does it take for functionsof two independent variables?…

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Q: en equation using

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Q: What does it mean when a function does not have any critical numbers. Please explain ALL…

A: Critical numbers for any function are defined as the real number x in the domain of the function…

Q: Draw simple graphs of the first and second derivatives of the function y = f(x) whose graph is given…

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Q: Since you know how to find the derivative of a product of two functions, use the idea of…

A: The objective is to use the idea of associativity to find the derivative of the product of three…

Q: general form

A: Maximum Likelihood Estimation   So far, we have discussed estimating the mean and variance of a…

Q: The altitude (i.e., height) of a triangle is increasing at a rate of 3 cm/minute while the area of…

A: We are given that the altitude (i.e., height) of a triangle is increasing at a rate of 3 cm/minute…

Q: How to calc derivatives using chain rule

A: Chain rule is used to calculate the derivative of composite functions.

Q: Derivative - 16sin4x

A: Given: 16sin4x

Q: 3. 2.

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Q: A car is approaching an intersection while a bus on a per- pendicular street is moving away from the…

A: We have to find  how fast the distance between the car and the bus is changing at the moment when…

Q: possible autocorrelation function

A: The autocorrelation function, along with the mean, is considered to be a principal statistical…

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A: Topic:- application of derivatives

Q: Differentiate the function. f(x) =  5   ln x f '(x) =

A: Given that: f(x)=5.lnx

Q: Find the average rate of change of f(x)= 2xsquared - 9 on the interval [5,b]. Your answer will be an…

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Q: Explain the effects of changes in “a” and “c” on the graph of y = ax2 + c. Transformations –…

A: When the graph of two functions are identical but translated, mirrored or compressed by any constant…

Q: In a factory there is a 10,000 liter water tank that contains 0.01% colorant. From the beginning (t…

A: “Since you have asked multiple questions, we will solve the first question for you i.e. the…

Q: Find first and second derivative, critical points, concavity, x and y intercepts, vert and horz…

A: Consider the following: Find first and second derivative:…

Q: orrelation function:

A: Given as, Rx 0=3, Rx ±1=2, Rx ±2=1, Rx l=0, l>2