A company has identified that the revenue R for a particular product is given by the function f(x) = -x° +300x +37500x, where x is the number of units sold. How many units need to be sold to obtain the maximum revenue? Answer:

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A: The function gx is defined for -3≤x≤3, The behaviour of g'x and g''x is given below. By using the…

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A: Given problem:- Evaluate the directional derivative Duf(2, 3) if f(x, y) = x/(x2 - y) and u is the…

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Q: 1. Which of the following is the solution to the equation below? cos? æ + 3 cos a – 4 = 0 x = 1+…

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A: Prove the following limits

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Q: What is the reference angle of O if 0= -137°? A 43° B 47° C 137° D 223°

A: Given query is to find references angle.

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Q: (2) Use logarithmic differentiation to find . Do NOT use the quotient rule here. e4x y = (x3 + 4)3…

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Q: 2. State the domain, range, asymptotes and graph the following function 4x-3 x+4 lity: Investigate…

A: Given query is to find domain range and asymptot of the function.

Q: 3. S

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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Q: Зx-5 The function f(x) = is discontinuous for what value of x? 3 2-3x x = 4/3 O x = -2/3 X = 2/3…

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Q: 2x + 5x 1. Ar + Ba + Cz² + D¤ Consider the function f(x) = An antiderivative of f(x) is F(z) where A…

A: Answer is solved in step 2 using integration.

Q: Learning Task 1: For the given functions f(x) and g(x), find ( ° g)(x) 1. f(x) = x² and g(x) = x + 5…

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Q: Write out the MacLaurin polynomial of degree 12 of the function h(x) = cos(x2). (b) Use you answer…

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Q: 3. dy = (x - 3y)dx ans. 9y = 3x - 1 + ce 3

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Q: How does (2cos(theta))2 + (-2sin(theta))2 equal 4?

A: 2cosθ2+-2sinθ2=4cos2θ+4sin2θNext step:-

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Q: ) Find the y’’ (second derivative) of the following in its simplified form. Do not skip the steps…

A: This is a problem of differentiation of the function. Based on the general formula we will solve the…

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Q: x2 - x- 6 Evaluate the lim *2 7x- x²-12 3/7 O does not exist O None of these O 2/5 O 417

A: topic - limits option none of these will be applied as 2/7 is not in the options

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Q: The recurrence relation a,= 6an-1 - 9a,n-2, with initial term ao=1 and a,=6 has a solution, which is…

A: We need to find solution of recurrence relation : an=6an-1-9an-2 with initial term a0=1 and a1=6

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Q: Given u(t) = (e',e-t). a) Find: (i) u'(t) (ii) u"(t) b) Find the unit tangent

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Q: How do you take the integral of 2 * sqrt((t^2 + 1)) ? Can you label notes on each step? I can't see…

A: We will solve this question using integration by parts.

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A: At first we want to find radius of the circle.

Q: 8 Consider the function f(x) - 7. Let F(a) be the antiderivative of f(x) with F(1) = 0. Then F(r)

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