A print shop makes bumper stickers for election campaigns. If x stickers are ordered (where x < 10,000), then the price per sticker is 0.17 - 0.000002x dollars, and the total cost of producing the order is 0.082x - 0.0000005x2 dollars. Use the fact that profit = revenue - cost to express P(x), the profit on an order of x stickers, as a difference of two functions of x. P(x) =

Q: Find the intervals on which ƒ is increasing and the intervals on which it is decreasing.

A:

Q: A producer of pedal-powered ice cream makers has determined that the revenue from the production and…

A: Given: Rx = 46x- 0.04x2 , 0≤x≤900 To find the interval of increasing and decreasing, we have to find…

Q: The function f(x) =3 x4-4 x3-12 x2+1, is increasing on the interval

A: f(x) = 3x4-4x3-12x2+1f'(x) = 12x3-12x2-24xf'(x) = 12x(x2-x-2)f'(x) = 12x(x2-2x+x-2)f'(x) =…

Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2,2].

A:

Q: For f(x) = 2-x4/3 + x, use the 2nd- Deriv. Test to find any local max or min

A: to find local max or min.

Q: Find the area of a triangle bounded by the y axis, the line f(x)=8−16x and the line perpendicular to…

A: Given ,   f(x)=8-16x

Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = -6x²-3x - 2 on the…

A: Solution-

Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2, 2].

A:

Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = 3x² – 3x + 7 on the…

A:

Q: Find the intervals on which f(x) = x4 is increasing  and the intervals on which it is decreasing.

A: Given function:

Q: Find intervals where f is increasing/decreasing f(x)=x3+3x2-9x-12

A: Given function

Q: Find the intervals of monotonicity of the function f(x)=√x−x2.

A:

Q: The profit function for good x is given by P(q) = 200 + 1009 + 30q²-9² where q is the quantity of x…

A: It is provided that the profit function is P(q)=200+100q+30q2-13q3. We need to determine the maximum…

Q: Find the maxcimum profit and the number of units that must be produced and sold in or der to achieve…

A: Given that, Revenue function: R(x) = x2 + 110 x + 60 Cost function: C(x) = 1.1 x2 + 10 x + 80 We…

Q: At a certain vineyard it is found that each grape vine produces about 10 lbs of grapes in a season…

A: To find the number of vines that should be planted to maximize grape production.

Q: Find a formula for f-(x) and (f-1)'(æ) if ƒ(x) = -V5 – x f-' (x) = (5-1)'(x) =

A:

Q: Find the intervals on which ƒ is increasing and the intervals on which it is decreasing. ƒ(x) = x3 +…

A: Given: Find the increasing and decreasing interval of function. Condition for monotonic increasing,…

Q: The revenue from the sale of x manual food processors is given by R(x)=33x−0.3x^2dollars. The total…

A:

Q: A producer of door frame chin-up bars has determined that the revenue from the production and sale…

A: A function is said to be increasing if f'x&gt;0. A function is said to be decreasing if f'x&lt;0.…

Q: Find and classify the extreme values of f(x)=6x^4 - 4x^6 over the interval [-2,2]

A:

Q: 9. The interval for function (6-x)/4< (3x-4)/2 is

A: Find your answer below

Q: At what interval is y= 2x3-3x2- 36x + 14 increasing? Decreasing?

A: Question is solved.

Q: What is the average rate of change of the functin g(x) = 2x^2 -9 on the interval [4,7]

A: g(x)=2x2-9 on the interval [4,7]

Q: 2. Will the limit of all polynomial functions / (x) as x approaches a be always equal to the value…

A: Find your answer below

Q: 3) Find the interval where the graph of f(x)= -2x' +3x +36x-1 is concave upward or concave downward.…

A: The given function is fx=-2x3+3x2+36x-1. Using second derivative test, the concavity as well as the…

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = 12 +…

A: Given: fx=12+x-x2 we know that for any function it is increasing then f'x has to be greater than…

Q: A sales analyst determines that the revenue from sales of fruit smoothies is given by - 70x² + 420x…

A:

Q: Find the absolute extrema of f (x) = 2x – 3x² – 12x +1 on the interval [-3,3].

A: fx=2x3-3x2-12x+1 Differentiating with respect to x, we get f'x=23x2-32x-121+0=6x2-6x-12 Now to find…

Q: 2) State the intervals of concavity in the function f (x) = x3 + 2x2 – 4x + 5.

A: We have to determine the intervals for concavity of the function: fx=x3+2x2-4x+5 To check the…

Q: If the marginal revenue function of a firm r/ (x) = 5 + 3x – x 2 and r(6) = 112, find the total…

A: Given  Marginal revenue function  MR=r'x=5+3x−x2   and   r(6) = 112

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Giveny=-5x-14

Q: Find the critical number of the function. f(x) - 3x + 3x2 + x

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Q: The area bounded by the curves f(x) 19x + 9 and g(x) = 19x² +9 is 3.17 square units 0.95 square…

A: Known fact: The area bounded by two curves fx  and  gx from x=a  to  x=b is given by A=∫abfx-gxdx.…

Q: Find the lower sum for f(x) = +4 on the interval [-4, 0] using 2 rectangles. 10 "F Submit your…

A: Here we have to find the left sum of given function.

Q: Find the average of the function h (x) = 4x² – x + 5 on the interval [-2,3]. %3D Average=

A: h(x)=4x2-x+5 on the interval -2, 3

Q: the total daily profit of a certain food company for the sale of boxes of buko is given by the…

A: Given: The total daily profit of a certain food company for the sale of boxes of buko is given by…

Q: Use the Midpoint Rule with n = 5 to approximate x dr - 2

A: We have to find the approximation of the given integral using Mid point rule.

Q: The revenue from the sale of x manual food processors is given by R(x)=30x−0.2x2 dollars. The total…

A: Given that the revenue grom the sale of x manual food processorsR(x)=30x2-0.2x2 and the total cost…

Q: 2. Locate the absolute extrema of f(x)=-5e¯* on the closed interval (-00,00).

A:

Q: Find the absolute extrema of the function ƒ(x) = 3x2/3 - 3x5/3 on the interval [0, 8].

A: Given ƒx = 3x2/3 − 3x5/3 on the interval 0, 8.

Q: Find the intervals of monotonicity of the function f(x) = 4.

A: Intervals of monotonicity means we have to finds intervals in which function is inreasing or…

Q: Find the open intervals on which the function f(x)=x+4sqrt1-x is increasing or decreasing.

A:

Q: Find the average of the function h (x) == 4x² – x + 5 on the interval [-2,3]. %3D Average=

A: Given query is to find the average value of the function for the interval [-2,3]

Q: Find all critical points of the function f(x) = x³ + 3x² them in descending order and separate them…

A: Find all critical points of the function f(x) = x³ + 3x² - 5x + 9.

Q: Find and classify the extreme values of f(x)= 6x* –4x° over the interval [-2,2].

A: Given,  f(x)=6x4-4x6

Q: Suppose a firm’s profit function is given by π(q)=(1526*q-1*q^2 )-(1*q^2+11*q). What is the profit…

A: First, differentiate the profit function πq=1526q-q2-q2+11q with respect to q to maximize profit.…

Q: Consider the function f(x)=−1254x4+x. What are the critical numbers?

A: Consider the given function: f(x)=-1254x4+x Critical points are the points in domain of the function…

Q: Explain conditions for use of the t-procedures?

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Q: Lars was 20 inches tall when he was born, and six foot one when he died at age 83. Use the…

A: Intermediate value theorem :- Let f be a continuous function on [a,b] and f(a) =/ f(b) with f(x)…

Q: The marginal revenue​ (in thousands of​ dollars) from the sale of x gadgets is given by the…

A: Given that,the marginal revenue in thousands of dollars from the sale of x gadgets is given by,…