The profit function of a business is given as P (x) = −x2 + 54x + 70. How many units must be sold to earn a profit.

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A: The figure is the graph of the derivative, f' on -2, 4. To Find:  To determine the intervals where…

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A: f’(2) = slop of tangent line at x=2 f’(x) = m = (y2 - y1)/(x2 - x1)

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Q: a) y' - 2xy = x

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

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A: when a wholesaler sold a product at $50 per unit, sales were 240 units per week. After price…

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A: Given :- F=2x-2zx2,4z-xy,7z2x2

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Q: Minimizing Packaging Costs What are the dimensions of a closed rectangular box that has a square…

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Q: 3. Determine the curvature and radius of curvature of y = 6x-x³ at (1,5). a. 0.18973; 5.2704 b.…

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

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Q: Suppose the point (8, -5) is on the graph of y = f(x). Use this point to answer the questions below.…

A: NOTE: Refresh your page if you can't see any equations. . if the point (x,y) is on the graph of…

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Q: For the demand function q = D(p) = 309 - p, find the following. a) The elasticity b) The elasticity…

A: We have to find the elasticity and the price that gives the maximum revenue.

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: Suppose that a business provides a continuous income stream with an annual rate of flow at time t…

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Q: Find √ √₂ (4x + y)dA (4x + y)d.A where D = {(x, y) | x² + y² ≤ 9, x ≥ 0} =

A: Double integration

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Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A: Given that: Distance travelled between 10:17 to 10:55 am = 39 milesSpeed limit = 70 mph

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Q: Write the sum in summation notation, using the given lower bound. b = 5 , A¡ = = 5 b 5 + 10 + 15 +…

A: Please see the below answer.

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Q: 0 PM Tue Mar 28 QCarson @UNT System T 5 Calculus nath o additional text - Page ... lim X->- (४ Home…

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Q: 8 1. Σ n=1 (80) 92n

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A: critical point

Q: Find [[ cos (2² + 3²)dA where D = COS D {(x, y) | 16 ≤ x² + y² ≤ 64}

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A: First of all, we will differentiate then we will put the values of x and y

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A: Here , we have given some functions now we have to find out differentiation of them

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Q: Use differentials to estimate the value of 1.5. Compare the answer to the exact value of $1.5. Round…

A: By using differential to estimate the value of 1.54.  To compare the answer to exact value of 1.54.…

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Q: Find the particular antiderivative that satisfies the following conditions: C(z) = Submit answer 1.…

A: C'(x)=8x2-6xC(0)=3000∫xndx=xn+1n+1+c      (c is constant of integration)

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Q: Find (5x + 2y)dA where R is the parallelogram with vertices (0,0), (5,3), (-4,2), and (1,5). R Use…

A: The vertices of parallelogram is given as , 0,0,5,3,-4,2,1,5 and x=5u-4v , y=3u+2v find ∫∫R5x+2ydA=?