A company's revenue for selling x (thousand) items is given by R(x) = Find the value of x that maximizes the revenue and find the maximum revenue. x = 29 . 899x-x² +²+899 maximum revenue is $ 14.538

Q: Consider the following table, and assume that f(x) and g(x) are differentiable functions with values…

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Q: I company determines that its demand function is given by p(q) = - 0.7q + 2406 and that its cost…

A: I company determines that its demand function is given by  pq=-0.7q+2406 and that its cost function…

Q: Consider the function f(x) = 10x¹0 + 8x5 + 8x5 – 5x³ – 5. Enter the antiderivative of f(x) + C

A: The given function is  f(x)=10x10+8x5-5x3-5

Q: According to the Principle of Mathematical Induction, to prove a statement that is asserted about…

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Q: Find the maximum and minimum value of f(x, y) = x - 3y on the closed disc of radius 5.

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Q: Determine the absolute extreme values of: | f(x) = = 4x³+108 X on (0, ∞)

A: To find the extreme value of given function

Q: Consider the region on the first quadrant bounded by the line y = x, x- axis, and the circle x² + y²…

A: Please see the below picture for detailed solution.

Q: Find the area under the curve y=f(x) = 4x-4x² on the interval [0, 1]. Enter your answer as a…

A: Given query is to find the area under the curve.

Q: Find the inverses of the given matrices, if they exist. If the inverse does not exist, enter DNE…

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Q: Find the derivative of y with respect to x if y = In (7x) S 0 sin (4e¹) dt.

A: ∫sinxdx=-cosx+cwe know  elnx=x and  lnxn=nlnx

Q: = f(x + Find +6)(x − 2)dx + C

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Q: Consider the function f(x): x²8x + 15 - x + 5 a. Find the first derivative. f'(x) b. List any…

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Q: Determine the form of particular solution for the following differ (D²+1)y=x²+1 Oy =Ax² + Bx + C P…

A: given differential equation is :-D2+1y = x2+1then we have to determine the form of particular…

Q: 2 Find the indicated term using the given information. 36) 3, 1, -1,...; a30

A: We have to find 30th term of given series.

Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: Obtain the general solution: (SEPARATION OF VARIABLES) 3. y' = y secx

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Q: Find the nth term {an) of the geometric sequence. When given, r is the common ratio. 43) 2,1,2,...

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Q: Solve the area bounded by the parabola y² = 4x and the line y = 2x - 4 in two ways. Answer: 2 sq.…

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Q: A function f(x) satisfies f(-7.3) = 6.6 and f'(-7.3) = -8.8. What is the equation of the tangent…

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Q: Suppose that a car has velocity 70 km/hr for 2 hours, velocity 60 km/hr for 1 hour, velocity 50…

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Q: Solve the given equation.. dy dx +y=ex, y(0) = 1 a. b. c. y(x)= xeX +x+1 y(x) = 2ex + e-x y(x) = d.…

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Q: 3 f(x) = ², g(x) = x+1 H

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Q: 121 121 suppose that Σα; = -13 and Σ b; = 23. Compute the sum. i=1 i=1 121 Σ ( – 28α; - 2b;) i=1

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Q: - Drug pharmacokinetics A patient takes 150 mg of a drug at the same time every day. Just before…

A: we need to find the quantity of drug.

Q: 4. y (x+y) dx + x(x²-5y³)dy = 0, y(a)=1

A: Please see the below picture for detailed solution.

Q: method of undetermined coefficients to find y" - 4y - 1

A: We have to find the particular solution according to the given differential equation

Q: 2 integral ³√²-60 6dx. Evaluate the integral [x³√x²-6dx=

A: NOTE: Refresh your page if you can't see any equations. . substitute  take a square on both sides

Q: The daily temperature in degrees Fahrenheit of Phoenix in the summer can be modeled by the function…

A: NOTE: Refresh your page if you can't see any equations. . where T is the temperature and x is the…

Q: Consider the following table, and assume that f(x) and g(x) are differentiable functions with values…

A: Please see the below answer.

Q: San Diego is one of the largest cities in the United States. In 2012, the population of San Diego…

A: We need to find out the growth rate from 2012 to 2016, also the growth rate from 2016 to 2020.

Q: If P(a, b) is on the unit circle whose arc length from the point (1, 0) is t, which of the following…

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Q: marginal average cost of producing x digital sports watches is given by the function C′(x)​,…

A: Given query is to find indicated functions.

Q: 1. Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = 2√√x…

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Q: Find the gradient vector field of f. 2 2 f(x, y, z) = 7√√√x² + y² + z² Vf(x, y, z) =

A: The objective of the question is determine the gradient vector field of f.

Q: ind the area under the graph of the function over the interval given.   y=x3​; ​[2​, 3​]

A: area(A)=∫abydx∫xndx=xn+1n+1+cA=∫23x3dx

Q: Find the area of the region bounded by the x-axis and the graph of y = from * = Simplify your…

A: Given query is to find the area of the region.

Q: -1 An open-top box has a square base. If the total sur area of the box is 75 square meters. Find the…

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Q: Calculate h'(3) if O a. -32.00 O b. This derivative does not exist Oc.-21.00 O d.-8.80 Oe. -7.20…

A: Given expression of h( x ) h( x ) = xf( x ) + 4g( x ) Given f( 3 ) = -5.2 g( 3 ) = -2.9 f'( 3 ) =…

Q: Obtain the general solution. (HOMOGENOUS EQUATION) 2. xydx(x + 2y)²dy = 0

A: Given xydx - ( x + 2y )2dy = 0

Q: Find how many degrees you will turn to face the following directions: If you turn left to face…

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Q: u invest $1400. If the account grows by 6.2% per year, how much money will be in the account in 29…

A: Given that: investment P = $ 1400 Rate r = 6.2% per year Time t = 29 years

Q: 2 Find the equation of the tangent line to the curvey == 2:² Give your equation in slope-intercept…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=2 which means the point…

Q: Consider the vector field ♬ = (6xy, 3x² + 6y²). The vector field is not conservative The vector…

A: use partial derivative for finding the line integral

Q: If f is continuous and 0 4 f(x) dx = 18, evaluate 2 [² f(2x) dx.

A: Let's evaluate given integration.

Q: Find the area bounded by the graphs of the indicated equations over the given interval​ (when…

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Q: Given Cost and Price (demand) functions C(g) = 100q+ 45000 and p(q)= - 2.5q + 950, what is the…

A: Given Cost and Price (demand) functionsC(g) = 100q+ 45000 and p(q)= - 2.5q + 950

Q: Find the area of the region between the line y = 2x and the curve y = x² + x - 2

A: We will find point of intersection  y =2x and y = x2+x-2.

Q: Consider the function f(x) whose second derivative is f''(x) = 7x + 7 sin(x). If f(0) = 4 and ƒ'(0)…

A: Given: f''(x)=7x+7sin(x), f(0)=4 and f'(0)=3

Q: True or false. The integral True -1 False 3 2 1 -1 f(x)dz gives the area of the shaded portion…

A: Here we have to verify whether the given integral for finding the area is true or false.

Q: If cos 0 should O QI O QUI O QIV O QIII 0 and csc 0 < 0, in what quadrant lie?

A: