Question 13 A company's revenue from selling x units of an item is given as R = 1400x – 3x². If sales are increasing at the rate of 35 units per day, how rapidly is revenue increasing (in dollars per day) when 100 units have been sold? dollars per day

Q: 2. Evaluate the integrals using area formulas: (a) (b) 10 9-(x-7)² dx (10-2 (10-2|x) dx

A: Given is the question of definite integral.

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Q: Use an inverse matrix to find [x] for the given x and B. 5 (-3) -6 B= -3 4 [x] = (Simplify your…

A: We will find the required .

Q: dx (6-x²)² 3

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Q: Let z(x, y) = xey where x = t5 & y = −3+2t. dx dy dz dt by first finding -& dt dt Calculate dx dt dy…

A: We will find the required derivative.

Q: (17 points) Differentiate the following function: ƒ(x) = e* + x² ƒ'(x) =

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Q: Suppose that f(x, y) = x² − xy + y² − 5x + 5y with D = {(x, y) | 0 ≤ y ≤ x ≤ 5}. 1. The critical…

A: we need to find out the critical points and absolute minimum and maximum.

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Q: 4- Apply Newton's method to f(x) = x³ + 5x +4, xo=1. Find x1, x2, and x3.

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A: figure:-

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A: Given: an=limn→∞nn+2

Q: 1) An antiderivative of a function f (x) is a function F (x) such that F ′(x) = f (x). Find any…

A: Note:-     Given functions:- a) fx=12x2+8sec2x b)gx=x+6sin2x

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A: Given query is to find the amount accumulated.

Q: Evaluate the following sums. 9 (2) Σ 3 k=1 500 (b) Σ 9 k = 1 264 (c) Σ k = 2 20

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Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

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Q: Let z(x, y) = = Calculate მz მ3 მ: Ət || მ მs - 82 _ 4y where X = 9s + 3t & ყ = მ: Ət by first…

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Q: 53. sec² x 1 + sin x sec² x - sec x tan x cos² x

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Q: Write the capital letter E if the differential equation is exact and if NOT exact solve for the…

A: Write the capital letter E if the differential equation is exact and if NOT exact solve for the…

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Q: Calculating First-Order Partial Derivatives In Exercises 1-22, find af/ax and a flav. 15. f(x, y) In…

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A: Given rectangular coordinates of the point is -22, 22 For a point (x, y),  r=x2+y2 where…

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Q: Find the absolute maximum and minimum of f(x, y) = 2x + 2y within the domain x² + y² ≤9. Please show…

A: Please see the below picture for detailed solution.

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Q: TION -2x-8 b) ²+4 <- 6x +5 INVESTIGATING THE GRAPHS OF QUAC LINE OF SYMMETRY OPENS UP OR DOWN?…

A: We have to find the following conditions according to the given information

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A: Please see the below answer.

Q: Let f(x) be a function that is defined and has a continuous derivative on the interval (2, ∞).…

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

Q: Concept

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Q: Concept check: Evaluate the following integrals: 1. dx (6-x²)z OIL

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Q: The volume of a cylinder of height 10 inches and radius 7 inches is given by the formula V = 10mr².…

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Q: infinite series 1. A 2. A || S 5 4 5 11 3. A = 0 5

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Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

A: We need to find out the value of x and y that will minimize the cost.