150 liters of fluid in which 20 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 3 mie; the wall-mixed solution is pumped out at the in the tank at time t

Q: Q3/ Answer one from the following :- 1- Determine the general solution y(x) for the equation 2y" -…

A: Explanation of the answer is as follows

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A: answer is in next step.  i can answer only one  question as per guideline thank you.

Q: 7) Find the area of the region enclosed by the cardioid r² = 4 cos 20.

A: To find the area of the region enclosed by the cardioid r2=4 cos 2θ.

Q: Q3/: Find the area r=1- cose and over the region R that lies inside the cardioid outside the circle…

A: See this solution I below

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A: Concept: Wronskian method: W(x1(t), x2(t), . . . , xn(t)) =x1(t) x2(t) · · · xn(t) xx1'(t) x2'(t) ·…

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A: On solving this we will get

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A: This question is related to limit and continuity, we will solve it using given information.

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A: The given differential equation,      2y'+y=7t2

Q: 4. y +==y² A.-4-2 5. 4x² + 4y2 = 36 A. - 6. x² + 3xy-y = 7 A. 2x-3y 3x-1 B. 3 B. 4y-2 KIA 2x+3y 3x-1…

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A: Given A = 40-26-83 B = 26-306-4 x = 3te-t y = t4sin tcos t

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A: This question is based on 3-D geometry.

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A: fx is linear, gx is linear and hx=fxgx

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Q: B)Solve the differential equation = x - y. dx

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Q: Find the derivative of each of the following functions using any method. 7.) f(x) = 6cot(sin(4x))…

A: 7. fx=6cotsin4x8. fx=6sec7x29. fx=e6x2-17

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Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

A: Using exact equation as given below:

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Q: c) S xaccainxdx a) = (2x²-1) arcain x + ¥√√√²-x² + C b) 42 (2x² +₁) ancais x + x²√√1-x² + c c) 4…

A: The objective is to find the integration.

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Q: Find an antiderivative for each function when C = 0. a. 1 b. 2√x 1 c. ²{√x + 7/7 C. a. The…

A: Formula ∫ xn dx=(x(n+1))/(n+1) +c

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A: This question is based on finding slope using definition of derivative.

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A: