PART II: What is the area bounded by the curve y² = x and the line x - 4 = 0?

Q: Find y': e siny + el cost esinz-esiny O a. e cosy te cosT O b. eysinz-e sinzy ос e sinzte siny…

A: Given problem:- ex sin(y) +ey cos(x) =10  find:- y'

Q: anufacturing budgeted $60,000 per mont for lab rials. If $x is spent on labor and Sy is spent on…

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Q: 2(2x² + y²) dx - xydy = 0

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Q: Determine the intervals on which the given function is concave up or concave down and find the…

A: The given function,  f(x)=4xe-9x

Q: 2. Cambie a coordenadas rectangulares las coordenadas (3,π/2, 2π/3) a. (0,3√3,-3/2) b. (0,3√3,3) c.…

A: Solution: 3,π2,2π3

Q: The volume of solid of revolution when rotated along x - axis is given as A ny²dx a B Sny²dy a c…

A: We can find the solution to the given problem by using the disk method.

Q: Problem. Suppose you are having a dinner party for a large group of people, and you decide to make 2…

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Q: A trough is filled with a liquid of density 8232 N/m3. The ends of the trough are equilateral…

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Q: Simplify sin(5x) cos(5x) -cot (2x) sin(x cos(x) to an expression involving a single trigonometric…

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Q: A trough is filled with a liquid of density 8232 N/m3. The ends of the trough are equilateral…

A: Given that ,              density of the liquid ρ = 8232 N/m3                          side of…

Q: A train is starting at noon travels north at 40mph. Another train starting from the same point at 2…

A: Let's find speed of trains at 3 pm.

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: find out the derivative of the function.

Q: A producer has determined that the revenue generated from the production and sale of x units of a…

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Q: The rate of depreciation of a building is given by D'(t) = 2000(10 - t) dollars per year, 0 ≤ t ≤…

A: solution:-(a) according to the given graph the total depreciation of the building over fitst 5 years…

Q: Find the volume of the solid obtained by rotating the region bounded by y=x+1: y=0, and x=2 3πt c.u.…

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Q: Find the derivative of the following functions: tan (2x²-1) 1. f(x) = sin(2x²-1) 2. f(x) = sin² 4x…

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Q: Consider the ODE: (2x siny)dx + (x2² cosy + cosy)dy = 0 a. Solve the ODE by separation of variables…

A: We have to solve ODE by seperation of variable

Q: Determine the derivative of the following imp of paper, assuming that it is differentiable.

A: given is x+y3=2c(xy4)differentiating both side with respect to xdxdx+dy3dx=d(2c(xy4))dxusing product…

Q: A cube with 20-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter…

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Q: Find the maximum point of y = x + x a. (2,-2) b. (1,2) c. (-1,-2) d. (2,3)

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Q: 2 So ² ( x 7²2)² Using Trapezoidal method Blank 1 Add your answer -dx for n=4 is equal to Blank 1…

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Q: Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of…

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Q: 2. A contractor wanted to buy equipment; current price of it is ($50,000). So, he requested the help…

A: A contractor wanted to buy equipment; current price of it is ($50,000).  So, he requested the help…

Q: 1. f(x, y) = 4x² + 2y² + 5 subject to the constraint x² + y² - 2y = 0

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Q: Evaluate using the method of trig substitution 6. S dx √16-x²

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Q: The area in the first quadrant bounded by y = x², the circle x² + y² = 2, and the x-axis is equal to…

A: We have to find the value of a and b.

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: find out the derivative of the function.

Q: f(x) = x³, Y Find the volume of the solid obtained by rotating the region A about the x-axis. A B

A: The region A is bounded by y=1 and y=x3 from x=0 to x=1

Q: 3. 5. -4 क्य 4. Vo. X= ++ x = -3 2 * 20

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Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

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Q: In Exercises 1-3, find the solution of the given IVP. 1. d²y dy +4 dt² dt 5y = 0 2. y(0) = 11, y'(0)…

A: Please re-upload the other two questions.

Q: For the given cost function C(x) = 32400+600x + x², First, find the average cost function. Use it to…

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Q: .729 dx "J64 √X-3√x" √ or(v)dy, and f(x). find = Using Rationalizing Substitution © 6y+6+ 6 y-1 6y²…

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Q: please show in your solution how to get the pt of intersection between curves  y=(x)^1/3 and…

A: Point of intersection of the curves is the point where two curve intersect .

Q: Suppose you make beautiful coffee tables out of juniper trees. Your materials cost for each table is…

A: Given query is to find the Cost of goods sold percentage

Q: A dam has a semicircular gate with diameter 4 m. The top of the gate is 8 m below the surface of…

A: To solve the following problem using integral

Q: Evaluate the integral : S - (9x²+7x) (x−1)(x+1)² dx ← +C

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Q: The graph of one complete period of a sine curve is given. y WebAssign Plot 3 4 4 (a) Find the…

A: The graph of one complete period of a sine curve is given as

Q: Evaluate the following integral 1. y4+2y²-1 √y dy; y to 2. f(−4t + 12) (5t +15)dt

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Q: w Dy ),-0 7 By b. Əw əz C. aw əz

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Q: dx Using Rationalizing Substitution S- -=Sf(y)dy, find ff(y)dy- X√√x-1

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Q: 3. The distance of a body travels a function of time t and is defined by: x(t) = 18t + 9t². What is…

A: Given, x(t)=18t+9t^2

Q: Set-up the integral using horizontal element for the area of the plane region, 0≤x≤ 2 (플 (-snx) dx…

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Q: In Exercises 4-7, consider harmonic oscillators with mass m, spring constant k, and damping…

A: answer is in next step . please give a like !!!!

Q: cular el trabajo cula hasta el punto 4,7,5). Si la magnitud y dirección de la fuerza están dados por…

A: Given p =(0,0,0) andQ=(4,7,5) Then PQ= < 4,7,5> also force F is given. F =<1,4,8>

Q: The cylindrical shell method is to be used to compute the volume of the solid generated by revolving…

A: Volume

Q: HICI IL X ot N xu[(x-+)-C

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Q: Find the polar coordinates of the point with Cartesian coordinates (−2, 3)

A: topic-Cartesian coordinate to polar coordinate conversion

Q: The equation N (t) 600 models the number of people in a town who have heard a rumor 1+49e-0.7t after…

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Q: A company's Business Strategist determines that the total sales, in thousands of dollars, for a…

A: Solution: Given equation: f(l) = 700 +471log2(l)