Suppose that f(x, y) A D Then the double integral of f(x, y) over D is f(x, y)drdy = and the region D is given by {(x, y) | 3 ≤ x ≤ 4,3 ≤ y ≤ 6}.

Q: Consider a trough with the shape below. 2 m 5 m 8 m It is full of water, which has a density of 1000…

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Q: Q3/ If f(x)= x=2x+1 X71, a=2 Find the followings; a) f(x) = x b) show that f(f(x)) = f (f(x)) c)…

A: "Since you have asked multiple questions with multisubparts, we will solve the first question with…

Q: At what point(s) on the curve x = (x, y) = 6t² + 4, y = t³ - 7 does the tangent line have slope?

A: This question is related to parametric curves and slope of tangent, we will solve it using given…

Q: Q1: Solve integral the following: 1- fx.√x-8dx 2- sin 2xdx

A: 1.∫x.x-8 dx2.∫0π4sin2x dx

Q: Find a vector perpendicular to the 2-space line: Qx - Ny + R = 0

A: Please see the below picture for detailed solution.

Q: Find laplase 4-f(t)=e²¹.t³.

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Q: 4. Solve S/² x + ²/2 y = − 3 y=x+2 using elimination method

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Q: 3: Evaluate the following integrals: (2) 4*+23x - dx 2x

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Q: . foci: (±4,0) major axis of length: 1

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Q: Solve the differential equation. y' - y = 9ex

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Q: A right triangle has a hypotenuse of length 11 units and includes a 40° angle. What are the lengths…

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Q: Find the accumulated future value of the continuous income stream at rate R(t), for the given time…

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Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

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Q: The fifth torm of a goomotric corios is 405 and the sixth torm is 1215 Calculate the sum of the…

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Q: 04: Find dy/dx for the following function:: (Choose only four) (1) y = sinh1(tanx) (2) y = 7esv2x+3…

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Q: (6) Solve the following differential equations of ∙y jo.. 2 (2x² + y)dx+(x²y-x)dy=0 3- 4. : 6

A: To solve the differential equation.

Q: Find the average rate of change between x = 2 and x = -4 of the function shown in the table below.…

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Q: The approximate rate of change in the number (in billions) of monthly text messages is given by the…

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Q: 5. The set P = {a + bi| 0 ≤a<1,0 ≤ b ≤ 1} is graphically represented by A B i X C 1 x 1 x D i

A: Since you've asked multiple question, we will solve the first question for you. If you want answer…

Q: For the equation, use implicit differentiation to find dy dx xy - 3x = 9 dy dx ||

A: Given.

Q: Find the cost function if the marginal cost function is C'(x) = 3x - 4 and the fixed cost is $8. ...…

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Q: Find the Volume, Surface area and Lateral area of the rectangular prism shown below if the height of…

A: Concept: The volume, surface area, and lateral surface area of the rectangular prism are:…

Q: Differentiate: 1. y = x³ (5.4)*

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: X dy + dx y = 752 2

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Q: A tank is filled with 1000 sters of pure water. Brine containing 0.04 kg of salt per iter enters the…

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Q: What is the measurement of the largest angle in AABC such that a = 52 cm, b = 46 cm, and c = 31 cm?…

A: The largest angel is the angel opposite to the largest side of triangle.

Q: The number of people living in Canada rose by 1.2% to 38.5 million in 2021. If this population…

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Q: Q4/A/Find for the following functions (+) dx 1. y = cot 2. y = sinxtanx

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Q: In 19 years, Anthony Oaks is to receive $300,000 under the terms of a trust established by his…

A: Solution of given question is written in below steps.

Q: Prove using the definition of a limit. lim x→2^− (1/((x^2) − 4)= +∞)

A: Prove that   limx→2-1x2-4=∞

Q: of the function f. Find the range of f and the domain and range of f1 π f(x) = -2 cos (3x); 0≤x≤ 3…

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Q: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a)  Find the rate of…

A: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a)  Find the rate of…

Q: Find the present value Po of the amount P = $300,000 due t = 6 years in the future and invested at…

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Q: Find the volume bounded by the function z=f(x,y)=xy√√x² - y² over the rectangular region 8≤x≤10 and…

A: Volume bounded bya function z=f(x,y) and a region R is given byV=∬Rfx,ydydx

Q: Complete the table below for each of the functions given: f(x) = x(3x-4) f(x) = 5x² - 6 f(x) X -1 -3…

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Q: An oil-producing country can sell 7 million barrels of oil a day at a price of $110 per barrel. If…

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Q: Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of…

A: yes

Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

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Q: Find the future value P of the amount Po = $200,000 invested for time period t = 2 years at interest…

A: Future value of P of an amount P0 for time t in years with rate of interest k compunded continuously…

Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

A: We have to solve given Questions.

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A: Rx=45x-0.5x2, Cx=6x+10, when x=30 and dxdt=15 units per day

Q: Find the particular anti derivative that Satisfies the following conditions dy 4x +3 ; y(1) = 8 dx…

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Q: 03: Evaluate the following integrals: E In(x-1)(x-3) -dx x²-4x+3 (3) S

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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: Solve the following linear system by using Gauss elimination method 5x₁ + x₂ + x3 = 5 x₂ + 4x₂ + x3…

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Q: 8. Given f(x)=x+3 and g(x)=4 – x², find g(f(x)) and f(g(x)). 9. Given f(x)=x²+4x-9 and g(x)=-4x² –…

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Q: At a bowling alley, the cost of shoe rental is $2.75 and the cost per game is $4.75. If f(n)…

A: Calculation of above requirement are as follows.

Q: (2xy² − 2y) dx +(3x²y - 4x)dy = 0

A: Given: 2xy2-2ydx+3x2y-4xdy=0

Q: Find the area K of the triangle specified below. a = 19, b= 19, c = 19

A: