Solve the following problems below about derivative. Simplify your answers if necessary. 1. A three-sided fence is to be built next to a straight section of a river, which forms the fourth side of the rectangular region. The enclosed area is equal to 1800 square feet. Find the maximum perimeter and the dimension of the corresponding enclosure. 2. Suppose two feet long wire is to be cut into two pieces,with each piece to be formed into a square. Find the size of each piece to maximize the total area of the two squares. 3. A spherical snowball is made so that its volume is increasing at a rate of 8 cubic feet per minute. Find the rate which the radius is increasing when the snowball is 4 feet in diameter

Q: 23. A right triangle is located in the first quadrant. One vertex of the triangle is located at the…

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Q: 18. A foundry produces circular utility access hatches (manhole covers). If 120 covers are produced…

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers…

Q: Answer for 4, 5, and 6 Only if restictions apply.

A: Hole of a function – In a rational function if the function does not exist for any value of x but…

Q: 11. The distance (in feet), s, that an object falls varies directly with the square of the time (in…

A: answer is in next step. please give a like!!

Q: meters

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Q: 6. The velocity of a particle on a co-ordinate line is given by v(t)=t² +3t -10 ft/min where t20 and…

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Q: Question 5 Suppose that you want to create a rectangular animal enclosure using 80 linear feet of…

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Q: 3. Find the dimension of the largest rectangle (in terms of area) that can be inscribed in a circle…

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Q: Two towns A and B are 5 km and 7 km, respectively, from a railroad line. The points C and D nearest…

A: Ans : Station  s is located 2.5km away from point c.Explanation:

Q: Show your work. 2. An experiment was carried out in which the volume of a quantity of helium gas was…

A: Volume (L)Temperature (K)8.020012300164002050024600

Q: Find the equation for a radical function.in the form y = avx-h+k with intercepts of G.0) and (0,-1).

A: Consider the intercept points, 54,0    and    0,-1