For the curve y = f(x) = x², 0 ≤ x ≤ 2, its length is 2 L = 1+ dy dx dx =

Q: Find an equation of the line tangent to the graph of y = exat x = 0.

A:

Q: For the curve y = x² - 2lnx, locate all critical points and points of inflection.

A:

Q: Find a parabola with equation y = ax2 + bx + c that has slope 8 at x = 1, slope -12 at x = -1, and…

A: To find a parabola with equation.

Q: Find the tangent to y = x-x+5 at x = 5. The tangent to y = /x -x+5 at x= 5 is y = || 2.

A: As we know that, The expression for the equation of the tangent line is: y-y1=mx-x1 Where, ''m'' is…

Q: Use a computer algebra system to plot y2 = x 3 - 4x for x and y between -4 and 4. Show that if dx /…

A: y2=x3-4x

Q: On the same axes, plot the curve y = 1x, the line y = x/8, and the tangent line to y = 1x that is…

A: Given curve is y=x. Let x,y be any point on the curve. Differentiate function with respect to x.…

Q: x = 2 + 3t, y = cosh 3t , 0 <y<1

A:

Q: Plot the curve x³ + y3 = 6xy together with the tangent to the curve at the point

A:

Q: Find the lengths of the curves x = (y3/12) + (1/y), 1 ≤ y ≤ 2

A:

Q: Find the length of the curve y = ln (sin x),  pai/6&lt;=x&lt;=pai/2.

A: The given curve is,