y = e²+3 dy dx Find dy dx Type sin(x) for sin(x), cos(x) for cos(x), and so on. Use x^2 to square x, x^3 to cube x, and so on. Use (sin(x))^2 to square sin(x). Do NOT simplify your answer.

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A: Topic = Functions

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A: Follow the procedure given below.

Q: 7. Determine the intersection, if any, of the planes with equations x +y-z + 12 =0 and 2x + 4y - 3z…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

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A: To find the solution of the differential equation using undetermined coefficients.

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A: Let's solve given equation.

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A: Given w=f(p,q,r)and p=x2-y2,   q=y2-z2 and r=z2-x2

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Q: (3x²-33x+90) 5x²-10x-120

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Q: Example 13 Les A-[³3] and [3] A= B= Find AB and BA if they exist.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: topic- exponential function

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A: Topic = Functions

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A: This is a problem related to vector operation. Please follow the procedure given below.

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A: We have to explain, using the Quotient Rule equivalent to using the L'Hospital's Rule.

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A: Solve the derivative

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' 3y = 12ex - 12 y(x) =

A: See  the details solution in below

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Q: part, and you will not be able to come back to the skipped part. Tutorial Exercise Solve the…

A: The given differential equation is;  y''+3y'+2y=1/(8+ex).

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Q: 7. Determine the intersection, if any, of the planes with equations x +y-z+12=0 and 2x + 4y - 3z…

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