y 4| x = y' - 2 y 3 3 4' 2 -1.5 -1.0 0.5 0.5 1.0 x = y- y

Q: Compute Δy/Δx for the interval [4,5] , where y = 4 x − 5. (Use decimal notation. Give your answer…

A: Consider the equation given in the range [4,5] Calculate the value of y at x=4 and x=5.

Q: (Tlog3(cosh z) + csch x) tanh x dx

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Q: [SADT4] Suppose that the temperature in a given region is given by T (x, y) = 200xy (1-x² - 2y²).…

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Q: Given that dy /dx = 4x^3 - 6x^2 - 3x + 2 and y = 3 when x = – 1, Find the value of y when x = 2

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Q: 12. The height of a right circular cone is increasing at 3mm/s and its radius is decreasing at…

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Q: A tank contains 750 liters of fresh water. Brine containing 0.2 kg of salt per liter enters the tank…

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Q: Evaluate the integrals in Exercises

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Q: ation. 11. x + 2x + 5 = 0 14. 9r2 + 12r + 4 = 0

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Q: A tank contains 20 gallons of solution, with 10 pounds of chemical z in the solution. At a certain…

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Q: A right-circular cylinder has a height which is three times its diameter. The diameter of the…

A: Given, A right circular cylinder, Diameter,2r=8cm Radius,r=82=4cm Height=3(diameter) Height=32r=6r…

Q: terentiation 2 2 Find dy if y=x'+ sinxy 1.

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Q: ASK YOUR TEACHER ********** Use differentials to estimate the amount of metal in a closed…

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Q: se differentials to estimate the amount of material in a closed cylindrical can that is 30 cm high…

A: Given that height is 30 cm and diameter is 12 cm and dr=0.05 cm, dh=0.2 cm. Since diameter is twice…

Q: Compute Δy/Δx for the interval [2,6], where y=6x−7 (Use decimal notation. Give your answer to three…

A: Given, The interval [2,6],  y= 6x−7  We have to find ∆y∆x and  the instantaneous rate of change of y…

Q: 11) *Find the antiderivative. Sxe'ds *dx

A: This is a calculus problem

Q: Indefinite integral x^7(4 + 5x^8)^{12} dx

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Q: solution using Integrating Factors Found by Inspection y(x^3y^3 + 2x^2 − y)dx + x^3(xy^3 − 2)dy =…

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Q: ERIVATIVES of dy or y' of

A: Differentiation is the action of computing a derivative. The derivative of a function y = f(x) of a…

Q: Area between curves y=e^5x y=e^3x x=1

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Q: y = sinx from x = = to x = n and the x axis 2

A: The required solution is:

Q: S4xy1+ x dx 5.

A: on solving this we get the

Q: DETERMINATION OF INTEGRATING FACTORS FOUND BY INSPECTION y(8x-9y)dx+2x(x-3y)dy=0

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Q: 25. х — 5 dx x.

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Q: A 100 gallon tank initially contains 10 gallons of fresh water. At t = 0 a brine solution containing…

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Q: 31. f(x) = tanh Vx %3D

A: The given function is fx=tanh x.

Q: (x² cosh(sin(x-y))= intx-vn) = X' dy 9.

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Q: Verify the integration formulas in Exercise

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Q: ations x2 + v² – 2x – 2v

A: Transform from polar to rectangular: a)We know x=r cos θ, y=r sin θx2+y2=r2tan θ=yx

Q: (b) YOUR TURN 4 Find dx. Vx f(x) deriv for in

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Q: *indefinite integral* (2/(x + 2√ x + 1)) dx

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Q: dy cosh x dx + y sinh x = 2 cosh x sinh x

A: We will find out the required general solution.

Q: y(8x – 9y)dx + 2x(x – 3y)cy = 0

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Q: Identitfy the technique used in solving the problem. i.e. Trig sub, u-sub, by parts etc integral…

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Q: 2. Beer containing 6% alcohol per gallon is pumped into a vat which initially contains 400 gallons…

A: since nothing is mentioned in the question so lets calculate the number of gallons of alcohol A(t)…

Q: fil experini for dy txďn

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Q: 2 Find the tangent to y = Vx - x+4 at x = 1. 2 The tangent to y = /x - x+4 at x= 1 is y =:

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Q: Differentiate the function. y =    3x2 + 2x + 5  dy dx =

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Q: (x² – 5x)e* dx

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Q: Determination of Integrating Factor (2xy− y^2 + y)dx+ (3x^2− 4xy+ 3x)dy = 0

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Q: Find relative extrema not using x=0 method   s(x) = x^2/(x-1)

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Q: Compute the average rate of change of f(x) = /3x-8 from x, =3 to x, = 5. The average rate of change…

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Q: Integral of x^2-3x-7/(2x+3)(x+1)^2 dx

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Q: dy y(In y-In x +1) dx

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Q: Limit 0to2 integral√4_x^2 dx

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Q: nstant of integration.) ex² + 7x - 4 dx x - 5

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Q: Using Separation Variable. 1.) dy/dx = (2-y)^2 / 2(1+x)^1/2

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