Function f(x) =3^x is vertically stretched by factor of 4

Q: Differentiate the function. f(x) = 5x ln(3x) − 5x

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Q: three-point formula to approximate

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: A cube has an edge of 22 feet. The edge is increasing at the rate of 66 feet per minute. Express the…

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Q: x³+3x f(x) = 2-4x+3

A: Given that fx=x3+3xx2-4x+3   Quotient rule for differentiation. ddxuv=v·ddxu-uddxvv2 Here,  u=x3+3x,…

Q: Evaluate the second derivative of the given function for the given value of x. 2 3 4 y 3x --,X%= -8…

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Q: The average cost per unit, y, of producing x units of a product is modeled by y= 750,000 + 0.55x /x.…

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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

Q: Find the value of the derivative of the function at the given point. 2 f(x) = 3x² − 4x; ( − 1,7) -…

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Q: Continuity of multivariate functions

A: Here we will find the limit of the function.

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

A: Using formula :

Q: differentiable and

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Q: Express the area of a triangle as a function of its altitude having a base of 4 units. Graph the…

A: The area of the triangle is calculated by multiplying the height, the base and 12. The volume of the…

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: A rectangular box with volume 182 cubic feet is built with a square base and top. The cost is $1.50…

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Q: The graph shows the depth it W in reservoir over a one-year period as a function of the number of…

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Q: Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of…

A: We have to find the rate of radius increasing when Area, A=8 mi2 and rate of area increasing,…

Q: Graph the function. Then use the derivative and algebra to find the location of the critical points…

A: We will use a graphing calculator to graph the function.

Q: why setting the derivative of a function equal to zero allows us to find the maximum or minimum…

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Q: Find the average rate of change for the function over the given interval. y = x3 - 3x2 + 5 between x…

A: The average rate of change of a function f(x) from x = a to x = b is

Q: Compute the number of units x that determine the maximum profi

A: Given that: Cost function , C(x)=30x+100Revenue function, R(x)=-x2+90x

Q: 4. Using the first derivative test to find the location of the local maxima of the following…

A: 4.The given function is, f(x)=x3-3x2-9x-1

Q: Function Derivative \text { a. } f(x)=x^{3}-4 x+5 \quad f^{\prime}(x)=3 x^{2}-4

A: (a) Here given function fx=x3-4x+5

Q: the altitude (i.e., height) of a triangle is increasing at a rate of 3.5 cm/minute while the area of…

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

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Q: Derivative of  f(x)=-8sin(x)+7lnx

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

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Q: Element X is a radioactive isotope such that its mass decreases by 82% every year. If an experiment…

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Q: A closed box (has top) needs to have volume 10 cubic cm and height equal to the length of its base.…

A: A closed box has a Volume V=10cm3 Height is equal to the length of the base. Formula Used : Let…

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: Realice la gráfica f(x) = 2x +2

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Q: Find an equation of the line tangent to the graph of f(x) = (4x-3)(x+2) at (1,3). The equation of…

A: topic- equation of tangent line to the graph

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: what is the average rate of change of f(x)=2x3-2 from -1 to 3. what is the equation of the secant…

A: Average rate of change of f(x) is 14.

Q: Find two positive numbers so that the sum of the first and twice the second is 100 and the product…

A: Let two positive numbers are x and y. Given that the sum of the first and twice the second is 100 .…

Q: volume of a cube is increasing at a rate of 56 in/sec. At what rate is the length of each edge of…

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Q: general form

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

Q: Derivative - 16sin4x

A: Given: 16sin4x

Q: Differentiate the function. h(x) = ex9 + ln(x)

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Q: possible autocorrelation function

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

Q: Two positive numbers have a product of 81. Find the minimum possible value of their sum.(You must…

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Q: How do I determine the 1st difference, 2nd differences and ratio of y- values. ( on the photo…

A: Given:For x y -2 17 -1 11 0 9 1 11 2 17     now 1st difference of y ratio=…

Q: Range: 4f)--(* + 1) - 2 Parent Function: Transformation: Domain: Range:

A: First simplify the given function then here parent function is x^2. So draw the graph of x^2. And…

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

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

Q: derivative of f (x)= (9x4 5 - 7x

A: Given:

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: Find the slope of the graph of the function f(x) = /2x at (2,2). Then find an equation of the line…

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