Find the area bounded by 4 400-16x² Round to four decimal places. Y = 9 X = 0, y = 0, x = 2.

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A: To find the derivative of given function.

Q: Find differential equations for the following families of curves: (a) x2 + cy² = 1, (b) y² = ax + b.

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Q: 3) A university has 10 lecture halls. Each lecture hall has 15 rows of desks supo de With 5 desks in…

A: totak lecture halls=15

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Q: Use the graph of the function to state the value of lim f(x), if it exists. x-0 f(x) = x² + x 3√x³ +…

A: To find out that the limit of the given function at x=0 exist or not.

Q: If θ=1π/4, use the unit circle to find exact values for the following: sec(θ) equals    csc(θ)…

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Q: question 14. y' - 5y = e5x, y(0) = 2 answer 14. y e5x (x + 2) =

A: The given initial value problem is: y'-5y=e5x ;      y(0)=2

Q: f(x) || { -४४० -122 X ++ x + 2 C if x # -2 (and x = 0) if x = -2

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Q: 6 2²{ - 2s-8) 01 02 03 C 4+2 ett

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Q: 2 = (¹1);^ _'¹1 = (¹) ^ [1 − ₂*x + ²) + × ¹) = (x) ^

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Q: 38. n=1 n-2 10n + 5

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Q: 1 23. Σ (Inn)" 0=1

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Q: 1. For each of the functions f(x, y) below, describe its domain in set notation, give a geometric…

A: Dear student  We are allowed to solve the first 3 subparts of the question. If you need the rest of…

Q: Find the General Solution G.S. 1. (cosx cosy - cotx) dx - sinxsinydy = 0

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Q: Due to economic and political implications, the value of the purchasing power of a thousand-peso…

A: Value decreased by 8% let  A0=Initial value = 100A = final value = 20   Every year value decreased…

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Q: z = x² + x - 3xy + y3 - 5, find all points (x, y) wherein zand zy = 0.

A: The points are (1/4,1/2) and (1,1) the detailed solution is given below

Q: 19.) Differentiate f(x)= (3x - 5)*(7-x) 10

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Q: The equation y +y-xy = x' defines a curve in the xy-plane called an elliptic curve. (a) Find the…

A: Given equation is is y2+y-xy=x3   .....1

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Q: [] x(y-3) ] (y-3) dx 4y FIND DE.

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Q: ind the derivative of f(w)=5/(w^2−9)4

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Q: Complete the table and predict the limit, if it exists. (Round your answers to three decimal places.…

A: Let's find limit is exit or not.

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A: We can remove discontinuity by removing or cancelling some term from numerator and denominator. As…

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Q: (384)(340/340+50)

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Q: Evaluate 6x³ sin² (x¹) dx

A: Concept: The sum of the discrete data is indicated by the integration The area, displacement, and…

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Q: x-3 lim x→3+ √x²-9

A: it is a problem of right hand limit

Q: T = 7/24 31nx - secydx - 5xsin ydy=0;y (e ³) : .

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Q: (x + 2y — 2) dx + (2x + y + 5) dy = ○ (x + 4)² − 2 (x + 4) (y − 3) + 4(y − 3)² = C O (x+4)² + 2(x +…

A: We have to find the solution of the given differential equation.

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Q: Use the graph of the function f shown to estimate the indicated quantities to the nearest integer.…

A: Given graph we have to find different limits.

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Q: 1) Use the equation y = f(x) from part 1) and solve for x = g(y) as a function of y. = f(x)=7x=49…

A: We have to use the equation y=f(x) and solve for x=g(y) then we have to find L

Q: Evaluate 10 ļ 1 7ln x X dx.

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitue take…

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Q: 1. Use separation of variables to find an explicit form of the solution to the following ODES. Do…

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Q: Given: f(x)= = 1 2¹ and g(x)=√x +3 2-x Find the domain of f(g(x))

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Q: A chemical reaction converts a certain chemical into another chemical, and the rate at which the…

A: Let's find amount present initially.