Find the number of units x that produces a maximum revenue R in the given equation. R = 54x2/3 − 4x x = units

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A: I am attaching image so that you understand each and every step.

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A: tan(u+v) = (tanu +tanv)/(1- tanu*tanv) tanu = sinu/cosu cosu = 1-sin2u cosu = 1-(3/5)2 cosu = 4/5 si...

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A: We can show the answer in the following steps.

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Q: dy for the following expressions. d.x Problem 15: Find a) y(x² + 8) = 64 b) r³ + y³ : 6xy

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post ...

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A: Topic:- geometry

Q: Find the area of the given region. Use a graphing utility to verify your result. 1 + In x3 y = y

A: area of the bounded by the y=1+lnx3x

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Q: 1. 10. dx = %3D 11. S 8a da = 2. 2. 12. S dx 美 CX 3.

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Q: Find the area of the region enclosed by the parabola y = 2 - x2 and the line y = -x.

A: We have to find the area of the region enclosed by the parabola y = 2 - x2 and the line y = -x.

Q: 3. Determine the acute angle, to the nearest degree, between the planes T : 3x+ 2y - 4z +5 = 0 and 7...

A: π1: 3x+2y-4z+5=0comparing with Ax+By+Cz+D=0Direction ratios of normal=(3, 2, -4)n1→=3 i + 2 j - 4 kn...

Q: Lim 9. x + 4

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A: Explanation of the answer is as follows

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Q: In Exercises 1-22, find af /ax and of /oy. 2. f(x, y) = x - xy + y? 1. f(x, y) = 2x? - 3y - 4 3. f(x...

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Q: 11. Evaluate the lim a. +00 b. -00 C. d. Indeterminate

A: Given:        limx→0-1x4       =limx→0-1x4

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Q: Let f(x) = 2x2 – 8x + 14 The slope of the tangent line to the graph of f(x) at the point (2, 6) is T...

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the ...

Q: Find the vector component of v = (4, –1, 7) along b = (6, 6, –7) and the vector component of v ortho...

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Q: Activity 2: Express y in terms of x in the given equations if it is possible. 1. 2x+y=8

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Q: Find the point on the plane x − 2y + 3z = 6 that is closest to the point (4,2,0).

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Q: (6) Shipping fees (or shipping charges) are often based on a formula that offers a lower charge per ...

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Q: Find the exact value of the trigonometric expression given that sin(u) = -, where 37/2 < u < 2x, and...

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Q: 11. S 8a'da = %3D

A: This is a problem related to integration. Based on the general formula of integration we will solve ...

Q: 21. Determine whether the function g(x) =2+x, x<2 a. Continuous b. Discontinuous is continuous at x=...

A: Since, you have posted multiple questions. As per guidelines we will solve only first question. If y...

Q: Write an equation for the polynomial graphed below -5 -4 -3 -2- -3+ -4 -5+ y(x) = %3D

A: We see that the curve passing through the points 1, 4, -4.  

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A: Given that a=ci+j and b=3i+4jand angle between these vector isπ6Solution:

Q: 2) f(x) = x +: [1,3] a- Determine whether the Mean Value Theorem applies to the given function on th...

A: Given  f(x) = x+1x;  1, 3

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Q: Evaluate the following integral. | e2%cos3x dx

A: LetI=∫ e2xcos3xdxApply integration by partI=e2x∫cos3xdx-∫ddxe2x∫cos3xdxdxI=e2xsin(3x)ddx(3x)-∫e2xddx...

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A: OLG MODEL : Overlapping Generations Model- 1) Time is discrete and runs to infinity. 2) Each individ...

Q: 5. Which of the has a domain of (-o, +c0)? a. f(x) = x b. f(x) = x2 c. f(x) = x d. f(x) = x*

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 50 cos 50 do

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Q: Consider the points A(2, -3, 4), B(4, –5, 1), C'(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of...

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A: We have to find x value for different points. 

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A: Given P1,4,-2, Q0,0,0 &amp; R4,5,1 To find Area of triangle PQR

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