A farmer has 100 feet of fence with which he plans to enclose a rectangular pen along one side of his barn. One side of the pen is the barn wall. The fencing will construct the remaining 3 sides. What are the dimensions of the pen to maximize the area?

Q: 16. The length of a rectangle is increasing at a rate of 6 cm/min and the width is decreasing at a…

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Q: (a) Find the dy = differential dy. y = ex/2

A: We will use differentiation to solve this.

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A: Given :(x-1)2+(y+4)2=25 (x-1)225+(y+4)2100=1

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Q: 6. A curve passes through the point (4, 2), as shown in the figure. If from any point P on the…

A: Let's find equation of curve.

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A: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

Q: ow would you solve #57

A: a. to find minimum value , differentiate the function and equate to zero.

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A: Given: As nothing is mentioned, we will be answering graphically.

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A: Given query is to find the Cartesian coordinates of the point P.

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A: NOTE: Refresh your page if you can't see any equations. . for the exponential function  the equation…

Q: What is its value after 7 years? (Round your answer to two decimal places.) $3911.83 X

A: Given query is to find the value of the machine after 7 years.

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Q: A point P is given in Cartesian coordinates by P(1,1). Find polar coordinates (r, 0) of this point…

A: NOTE: Refresh your page if you can't see any equations. . the given point P is

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A: Graph:-

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Q: 1. Evaluate the integral f2162+12+0dx. (Hint. You may need to use partial fractions and trigono-…

A: Here we use the partial fraction to compute the integral . see below the answer and calculation we…

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A: To give the definition of matrix equivalence.   T:V→W

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A: Given query is to find the distance of point from the YZ palne

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A: Given query is to setup the integral to find the length of the curve.

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A: We have to tell for write the final answer without using grouping symbols for the product or…

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Q: y = 5x³

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A: As per our guideline if multiple questions are posted we are supposed to answer only the first one…

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A: Given query is to find the units to be sold for maximum revenue.

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Q: and x³ and y = √√√x. Find the area enclosed between the curves y = x³

A: We can find the area between the curves.

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A: The diameter of the hemisphere is 45 meters. The volume of the hemisphere = V(r)=23πr3

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A: Derivate the given equation with respect to x

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Q: Find the volume V formed by rotating the region enclosed by the curves: y³ = 6y with y ≥ 0; about…

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Q: m If a rock is thrown upward on an exoplanet of a nearby star with initial velocity of 25- S meters…

A: NOTE: Refresh your page if you can't see any equations. . the position function of the rock after t…

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Q: Jse logarithmic differentiation to find the derivative of the f 3x y =(√x) ³x ''(x) =

A: We need to find out the differentiation of the function.

Q: 4. Convert the following integrals to polar coordinates. Then evaluate them. 1-x² A. 0 LIVE -1…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: True or false: the limit as x approaches infinity of (x^2-x) =0

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Q: from the point (-2,-40) to the point (2,40), you'd have to compute where a = b= and f(x)= = y = 3x³…

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Q: d'T At a certain moment, the temperature in a snake cage satisfies = 0.008 °C/s. Estimate the rise…

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Q: 16. f(x) = x² - 2x³; [-2,2]

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Q: Find the domain of the vector-valued functions: A. R(t) = √t² – 9 î + ln|t − 3] ƒ + (t² + 2t − 8) k…

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Q: For each function in Exercises 7-28, (a) give of any critical points and classify each point as a…

A: Since you have asked a question with multiple parts in a single request we would be answering only…