You have 400 feet of fencing to enclose a rectangular lot and divide it in two by another fence that is parallel to one side of the lot. Express the area of the rectangular lot, A, as a function of the length of the fence that divides the rectangular lot, x.

Q: Differentiate the function. f(x)  = x5 + 5x

A: Given function:

Q: The total revenue for Fred's Estates LLC is given as the function R(x)=400x−0.2x2, where x is the…

A: Given  R(x)=400x-0.2x2

Q: Differentiate the function. f(x) = (3x5 − 2)18

A: Consider the function:

Q: Differentiate the function. f(x) = x3 - 4x + 6

A:

Q: Differentiate the function f(x) − x3 - 4x + 6

A:

Q: Differentiate the function: y= x^3 - 2x

A:

Q: Write the height h of the rectangle as a function of x.

A: In two-dimension cartesian-coordinate system, the value of a function at a point represented by the…

Q: Differentiate the function. y = (x3 + x)/(x2 - x)

A: Here we have to differentiate the function;  y=(x3+x)(x2-x)

Q: Differentiate the function. y = 3(x2 - 1)3(x2 + 1)5

A: To Differentiate the function. y = 3(x2 - 1)3(x2 + 1)5

Q: Differentiate the function, y = 4x² +5 + In (x + 1)

A: Differentiate the given function using the below formulas. ddxxn=nxn-1  ddxC=0        where C is a…

Q: Determine whether the equation defines y as a function of x. 2x = y4 - 16

A: The given equation is 2x=y4-16.

Q: write the function as a piecewise function. f(x) = ⌊3 − 4x⌋

A: Find your answer below

Q: The perimeter of a rectangle is 422 inches. If the rectangle is x inches long, find a function for…

A: Let us assume a rectangle with length x inches and breadth y inches.

Q: Find the zeros of the function.

A: Our Aim is to find the zeros of the function given below:-r(x)=-12x2-24  -(i)

Q: Determine whether the equation defines y as a function of x. 3x2 - y = 5

A: Given:  3x2 - y = 5

Q: Differentiate the function.   y = 3ex - 7x

A: Given function - y = 3ex-7xDifferentiating on both sides with respect to 'x' - dydx = ddx3ex-7xdydx…

Q: Determine the function that would represent a rock that was thrown upwards at 16 feet per second…

A:

Q: It costs $3 per hour to park in a parking lot, with a maximum cost of $12. Explain why the amount of…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question.Please…

Q: Differentiate the function y=1lnx.

A: Given function is y=1·lnx We know that any number multiply with 1 gives same number. So, function is…

Q: Determine the equation of the function that is graphed. -2x

A:

Q: Differentiate the function. y = (x+2)(x² + 2x +1)

A:

Q: Differentiate the function.  y=x6/x

A: This function can be differentiated by taking log on both sides. Then after differentiation, values…

Q: Differentiate the function. y% = (5x + 1)5

A: If y=ax+bn, then dydx=na(ax+b)n-1 (By using chain rule)

Q: Differentiate the function. x - 9x° +2 y = X y' =O

A:

Q: differentiate the function f(x) = x^2(2x+3)^5

A: The given function is f(x) = x^2(2x+3)^5

Q: The price per barrel (in dollars) for NYMEX-traded crude oil futures can be approximated by the…

A: We have to find the future prices of crude oil for the third quarter of 2017.

Q: The total number of fans who went to watch professional football games from 2005 to 2011 can be…

A: Given that, The total number of fans who went to watch professional football games can be modeled by…

Q: Differentiate the function. f(x)  =x3 -4x +6

A: To Determine: differentiate the function  Given: we have a function f(x)=x3-4x+6 Explanation:…

Q: Determine where the function is convace upward   f(x)=-5x2-8x+5

A: A function is concave upward when it's second derivative is greater than zero. If the second…

Q: anita is on a competetive rowing team . after 2 minutes the team rows at a constant speed of 4…

A: By making differential equation between distance and time

Q: Differentiate the function. B(y) = cy−2

A:

Q: Differentiate the function ƒ(x)=(1+2·x)^5

A: ƒ(x)=(1+2·x)^5

Q: Differentiate the function. y = 2x/2 - 3x

A:

Q: Find the value of f(14) from the function.

A:

Q: Differentiate the given function. 7x-2+-

A: Here we apply product rule of differentiation (UV)' = U(V') +(U')V

Q: y = Vx²–3x

A:

Q: Differentiate the function. 1,2 g(x) = 6. 6x + 15 | g'(x) = %3D

A: topic - derivative of a function

Q: Differentiate the function.

A:

Q: Determine whether the equation 3x2 + y = 14 defines y as a function of x.

A: Consider the given equation,  3x2+y=14 A function is a special relation in which every input is…

Q: A farmer wishes to build a divided pasture adjacent to the river, as shown in the diagram.…

A: Let y be the side of the fence that is parallel to the border of the river side and x be the length…

Q: Determine whether the equation 2x + y2 = 6 defines y as a function of x.

A: We have to determine whether the equation 2x+y2=6 defines y as a function of x . We know that for y…

Q: A paper airplane was thrown from the top of a 9 meter tall house and falls at a rate of 3 meters…

A: Given  The height of the paper airplane above the ground can be found using  the function  y  =…

Q: Differentiate the function y=sec(3x)+5-2

A:

Q: 4 (1, 3) y= 4-

A: The graph is given by To evaluate : The height of the rectangle h as a function of x.

Q: Suppose the weekly cost for the production and sale of bicycles is C(x) = 16x +4149 dollars and that…

A: Use formula

Q: Which type of function best models the area of the garden as a function of the width?

A:

Q: Differentiate the function ƒ(x)=(4x+3/5x−2​)^3.

A: fivenf(x)=(4x+35x-2)3 diffrentiate by division rulef'(x)=3(4x+35x-2)3-1((5x-2)4-(4x+3)5(5x-2)2)

Q: Differentiate the function.

A: Given:y=1+xe-2x The formula of differentiation is  ddxxn=nxn-1 Use chain rule and product rule to…