Find the point of diminishing returns for the function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars).           R(x)=1/45000 x (1170x^2−2x^3)

Q: Select the conic section represented by the equation. 3x 2 + 2x - 5y + 7 = 0 line hyperbola circle…

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Q: 1 lim (x² –1)sin x+1

A: To find out the limit.

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A: We have to choose correct option.

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Q: 6. The initial population of a town was 12000. After 5 years the population increased to 38000…

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Q: x+2x2-3x x²+4x+3 2) Evaluate lim -6-1. x→ -3 Show every step.

A: We can solve this as follows:

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A: ∫01xx2+9dx

Q: where t € [0, 1]. x = cost, y = sint-t,

A: Here we will find the equation of tangent and length of curve P,

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A: We have to solve above question and find the change average cost

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Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

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Q: Evaluate y' of the given functions: 1. y = (x² – 2)(x + 3)

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Q: 4.0 mR/h = A. 0.004 R/h B. 0.04 R/h C. 400 R/h D. 4000 R/h

A: Problem statement is not given so considering unit conversion by given options.

Q: r(t) = cos(nt)i – In(t)j+ vt – 16k; to = 17 | -

A: Given :

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Q: A manufacturer needs to make a cylindrical can that will hold 1500cm3 of liquid. Determine the…

A: Let r be the radius and h be the height of the can.

Q: Find the area (in square units) of the region under the graph of the function f on the interval [3,…

A: Area under the curve over the given interval:3, 6Area: ∫abf(x) dxA =∫36 (8ex-x) dx   =8ex -x2236…

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Q: 4n – 9 5n + 4 S - Given that sequence {an} = { (а) Show that the sequence is monotonically…

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Q: Given, A = 2? zi – 2332j+ x} zk. ind divA at the point (1, –1, 1).

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Q: 19x + 900 The average cost for a company to produce x units of a product is given by the function…

A: To find change in average cost as production goes from 150 to 151 units.

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Q: 2.Figure out the following = 2t2 +Int, t>0 dy. = cos(t – 1) c.f(z) =| -1|,9(z) =| 1.f'(1)?g/(0)? ?…

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Q: Sketch the graph the integrands and use areas to evaluate the integrals. LV16 – x² dx

A: Here we have to use areas to evaluate the integrals.

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Q: Find the sum of all the odd numbers between

A: Given,            Sum of all odd numbers between 21 and 355 inclusive.To find : Find the sum.We know…

Q: 4) A degree 3 polynomial function, P(x) has zeros x 2, x = 1, x = m and a leading coefficient of 1.…

A: Here, the polynomial P(x) is of degree 3 and has three zeros x=2,1 &amp; m and the leading…

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Q: Area: 7A square centimeters

A: The length is 7/3 cm and breadth is 3 cm or vice-versa for the perimeter to be minimum

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A: We want to find the volume.

Q: Find dy/dx: rsinx 1. у %3D Sm* 3t2 dt

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

Q: Vx-5 1) Evaluate lim 10. x+25 X-25 Show every step.

A: We can find the limit as below

Q: Select the representations that do not change the location of the point a. [-2.-357) D. (-2,-²5) b.…

A: -2, 7π5=-2cos7π5, -2sin7π5π+2π5=7π5=2 cos2π5, 2cos2π5  [FIRST Quadrant]A)-2 cos3π5,…

Q: Solve the given differential equation by undetermined coefficients. y'' − 12y' + 36y = 24x + 2…

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Q: B) Find the number of bacteria after 5.5 hours.

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Q: x³+2x-1 (x²+9)² The partial fraction decomposition of has the form None of these Ax+B (x²+9)² A x²+9…

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Q: Use a parametri. tion to express the area of tne surface as a double Integrai. Then The portion of…

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Q: x-2 lim 3x+5+2x' +2*

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Q: Which of the following Cartesian equations is equivalent to the polar equation T= 4 cos 0? Select…

A: We can convert from polar to cartesian equation as below.

Q: Use the table to evaluate the expression. 1 2 3 4 f(x) g(x) 3 1 6 3 4. (g o f)(2)

A: Here (g∘f)(2)=g(f(2))But f(2)=3(g∘f)(2)=g(3)and g(3)=6Therefore(g∘f)(2)=6

Q: Let u =, v = where A and B are some constants. Given that ú + 90 = find the value of the product…

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Q: n E (4 + 2k)? = k=1 Hint: Start by multiplying out (4+ 2k)².

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