Suppose a snowball remains spherical while it melts, with the radius r shrinking at 2 inch(es) per hour. What is the numerical value of  dr dt  when r is 3?

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Q: • The integrating factor of the given DE are already given below. What is the value of "n".…

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Q: VE In t dt

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A: The area of equilateral triangle is,                                           A = 34a2 units2 where…

Q: In the integration What is the implicit derivative of u? V9-4x² a. du = 2dx b. du = * - 2dx c. du =-…

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Q: t2 +t dt 2

A: ∫t2+t2 dt

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A: As per the question we have to solve the following first order differential equation : dy/dx =…

Q: Restate this question in terms of dV /dt and dh/dt: At what rate is water pouring in if the water…

A: Restate this question in terms of dV /dt and dh/dt: At what rate is water pouring in if the water…

Q: The integrating factor of the given DE are already given below. What is the value of “n”…

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Q: valuate the indefinite integral. 7 dt (t + 1)?

A: Given query is to eveluate the integral.

Q: the integrating factor of the non exact DE ydx-xdy=0 is -1/x^2,show your solution

A: We will solve the problem

Q: 3. Reverse the order of integration in S(2xy + 1)dxdy and then evaluate.

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Q: 3. (4 pts) Find the exact value of each definite integral. 4x5 dx (b) dt

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Q: Express the general solution of dy/dx = 1+ 2xy in terms of the error function erf(4) = dt.

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Q: Show that the integral -21/RC e dt has the value

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Q: • The integrating factor of the given DE are already given below. What is the value of "n" y²dx…

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Q: Show that the value of Vx + 8 dx lies between 2V2 - 2.8 and 3.

A: According to the question, we have to prove that the value of integral ∫01x+8 dx lies between 2.8…

Q: dx 1. dt xt x(0) = 1, solve for x(0.3) when h = 0.1 I| -

A: Given function is, dxdt=-12xt,   x(0)=1, h=0.1 and we need to solve, x(0.3)   Here we have, (t0,…

Q: dx 2. dt x(0.5) = 1, solve for x(1) when h = 0.1 2(t+1)

A: It is given that, dxdt=x2(t+1),    x(0.5)=1, h=0.1 and we have to find x(1)   Here interval is 0.1,…

Q: Use Picard's method of successive approximation to solve the equation 1+ xy, y(0) - 1 at x-0.1.

A: The solution of the differential equation is defined as the function that satisfies the equation.…

Q: Use Picard's method of successive approximation to solve the equation de 1+ xy, y(0) 1 at 8.1 X-0.1.

A: Given differential equation is  dydx=1+xy, y(0) = 1 To approximate the solution at x = 0.1 using…

Q: -2 Evaluate the integral: ² ft² n s teu du ds dt

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Q: The dimensions x and y of an object are related to its volume V by the formula V=8x^2y. How is dV/dt…

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Q: The integrating factor of the given DE are already given below. What is the value of "n"…

A: Given: y6y2-x-1dx+4xdy=0

Q: • The integrating factor of the given DE are already given below. What is the value of "n" y²dx…

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Q: An integrating factor which convert the D. E. y p(y)dx – (Qly) – p)x)dy = 0, into exact is given by

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Q: Find the total differential z = 5x3y2

A: The given function is z=5x3y2. Total differential: Let z=f(x,y) be continuous on an open set S. Let…

Q: The integrating factor of the given DE are already given below. What is the value of "n"…

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Q: If 3 h(t)dt = 5 5 and .3 h(t)dt = 7.3 what does the following integral equal? h(t)dt =

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Q: "Differentiate both sides of the equation V = Tr*with respect to t AP (using the chain rule on the…

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Q: Use Euler's method to estimate y(0.02) ey-x y' = 1+e3y „y(0) = 4 0.01) What is the error in the…

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Q: valuate the integral 3t3 (t2 + 4)5 dt

A: Given problem:- ∫ 3t3(t2+4)5 dt

Q: - 0.2 t N=N,e

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Q: • The integrating factor of the given DE are already given below. What is the value of "n" y²dx…

A: In order to find the value of 'n', follow the following steps.

Q: 3 a) Find the exact integer value of a for which tsin (at)dt == ft sin (xt) dt = -². where a1. T

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Q: use euler's numerical method to obtain an approximation of y (0.6) with h = 0.1 where y(0.2)=1

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Q: The dimensions x and y of an object are related to its volume V by the formula V=9x2y How is dV/dt…

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Q: The integrating factor of the given DE are already given below. What is the value of “n” y2dx…

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Q: Perform the Integrations sin(r)dt

A: To Find : ∫sin(t)dt

Q: The integrating factor of the given DE are already given below. What is the value of "n"…

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Q: Determine the constant of integration of f (x) = S (15z* – 3x²) dæ if ƒ (1) = 4?

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Q: Use Euler's method to estimate y(0.02) ey-x y' 1+ e2y »y(0) = 1 (h=0.01) .What is the error in the…

A: The solution is given as