utt = 0; x € (-0o; c0), t E [0, o) equation for u(x,0) = at

Q: Find the domain and range for f(x, y) = y² /x³ – y.

A: The given function is: f(x,y)=y2x3-y Now, the function is defined for all y but if  x3-y≥0⇒x3≥y⇒x≥y3…

Q: Find the derivative of the function

A: Given  that y = ( ax+ √(x2+y2)) -2 Method used- Chain rule- The chain rule states that the…

Q: Dy = le, () logs Csc 2y tan X

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Q: Find y as a function of x if x*y" + 11xy + 25y = x', y(1) = -4, y(1) = 0. y =

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Q: 13. y = (3x +1)e³x

A: Explanation of the solution is given below...

Q: 2x + 1 2 arccot V3 || V3

A: The given function is:y=23arccot2x+13

Q: Find the derivatives of the functions in Exercis y = (1 + 2x)e-2x

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Q: 2t5 + t2 – 5 h (t) = t2

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Q: h) R = 3qe 9

A: Given data:- The given expression is, R = 3qe-q

Q: Differentiate the function. r(t) = (3²- + 8)i + r'(t) = (6t)i + ( 132 r'(t) = i + (6t)j r'(t) =…

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Q: Find the derivative of the function.

A: Given: y=ln(x4)(1,0)

Q: Determine the second derivative of 6 y – xy²= 1 -

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Q: 6. Sketch the graph of y= x2+ by using the properties of the derivative.

A: The given function y=x2+2x

Q: Acrsin a2_v2

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Q: Differentiate the function. R(a) = (6a + 1)² R'(a) = 12 X

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Q: Calculate the second derivative y : Vx - Vy = 1

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