13. Find the length of the curve y4 + 8 from y = 1 to y = 4. X = 4y2

Q: Determine the slope of the curve y =1/x+1 at point (−2,−1).

A:

Q: b. Enclosed by the curves y² = 4x + 4 and the line y = 4x – 16.

A:

Q: Find the slope of the curve x2 + y3 = 2 at each point wherey = 1

A:

Q: Find the slope of the curve x3 = (y - x2)2 at (1,2).

A: Topic:- application of derivatives

Q: Find the set of values of y=2x+k meets the curve y=1+2kx-x² at 2 distinct points?

A: Given: y=2x+kat 2 distinct points

Q: Find the length of the curve y=7x-13 between y=-6 and y=15.

A:

Q: Find the slope of the curve y = 8x – 3x2 at point (2, 4).

A: Explanation of the answer is as follows

Q: Find the points on the curve y = 19x² closest to the point (0, 2). (0.395 2.973) and (-0.395, 2.973)

A:

Q: Determine the length of the curve x = (y-1), where 4 <y <9.

A: Now differentiating given curve with respect to y, we get

Q: Find the equation of the line tangent to the curve y = 4x² – 8x + 4 at the point(5, 64). -

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: What is the slope of the curve y= 2 over √x at the point (4,1)

A: To find the slope at a particular point x=a, the first derivative of the function is taken. Once the…

Q: Trace the curve y = 2x / (x+2) (x-3)

A: Consider the given function, y=2xx+2x-3 (1) First find the domain of the function. So, put the…