Determines the length of the curve in the indicated interval x = 3 sin t+ 3t, y = 3cos t, 0stsm O 12 6 18

Q: Determine the coordinates of the absolute extremes of y = 3sinx(cosx), 0 ≤ x ≤ 2pi

A: Determine the coordinates of the absolute extremes of y = 3sinx(cosx), 0 ≤ x ≤ 2pi

Q: Use the IVT to prove that the curves y = x2 and y = cos x intersect.

A:

Q: (6) Let a be a positive real number. Consider the curve defined by r? + y² – ry = a². Find all…

A: Given curve is x2+y2−xy=a2. Differentiate x2+y2−xy=a2 with respect to x, we get…

Q: 3- write an equation for the tangent line at the given point x² + y? = 4, (/2, vz)

A:

Q: 3) Find the function of y = 1) Reflect about the (2) Shift up (3) Shift X-axis 8 Units left 7units

A: The given function is y=x1) Reflect about x-axis2) shift up 8 units3) shift left 7 units

Q: Trace the curve r² = 4cos⁴(theta) tan²(theta)

A: The given curve is r2=4cos4θtan2θ

Q: Trace the curve: r = 2+3 cos 0.

A: