Suppose y is a differentiable function of r. Find y' if 2xy 3 2y3 + 5x4. y2 -

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 equation for the curve in the xy-plane that passes through the point (1, -1) if its slope…

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Q: y=8x-x³ 12) Where is the function concave down?

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Q: The equation of then tangent line to y?e2* = 3y + x2 at (0,3) is y= – 6x + 3 A) True B) False

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Q: /s. 5. Show that 2x?dx = f 2x²dx + S, 2x²dx + f 2x²dx %3D

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Q: Find y as a function of x if x²y" +5xy - 12y = x², y(1) = −9, y(1) = 9. y=

A: We have to find as a function of .

Q: Find y" from x =t +7, y = 6t -1

A: Answer and explanation is given below

Q: If f(x.y)= x?+2xy+5y² then дудх

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Q: Find the derivative of the function. Ax) = 6x (9 - 8x)* O (- 12x) (9 - 8x)' (6x- 9) O (-181 )(9- 82)…

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Q: Calculate y" for the function y = 5x' – 7x² +16

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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 f, (x.y) if f(x.y)=x - 5xy- 4y2.

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Q: y= V> +In(5x) Differentiate the function

A: Given,           y=x2+ln5x

Q: Evaluate y' at the point (2,2) 5x3y - 2x2 = 72

A: The given equation is 5x3y-2x2=72. Rewrite the above equation as follows:…

Q: 2 dz dz dz ds dt dz dy

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Q: s the function y = 3(x-4)^2 + 1 symmetrical with respect to the y-axis ? Why ?

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Q: Find y as a function of tif with y(0)=6, y(0) = 7. Y 400g"-729y=0

A: Given Differential Equation Given y is a function of t

Q: Let x + y = 28. Find y"(x) at the point (3, 1). "(3) =

A: The solution of the problem is given in the next steps.