(A) Find equations of the tangent and the normal lines to the curve x-4t-3, y-3t-6 at the corresponding to t-2. Also find att 2. dx (B) Find the area of one arch of the cycloid x=r(t-sint). y=r(1-cost); Ost≤2x

Q: Find the tangent and normal to the equation 5x? +6y³ = 930 at ( -6, 5)

A: 5x2 + 6y3 = 930⇒ 6y3 = 930 - 5x2⇒y3 = 930 - 5x26⇒y = 930 - 5x263 dydx = d(930 - 5x26)1/3dx ⇒dydx…

Q: Find an equation of the tangent line to the curve y 9tanx at the point %3D

A:

Q: Find an equation for the tangent line to the curve y = xV 2x² - 14 at the point (3,6). O y- 6 = 14(x…

A: The equation of the tangent line to the curve is, y - 6 = 11(x - 3)  The detailed solution is as…

Q: Find the point on the curve y=lnx such that the tangent line pases through the point (2,4). Need to…

A: Given The equation of curve is   y =ln x The tangent line passing through (2,4)

Q: y = xx that is parallel to the line y = 6 + 3x. Find an equation of the tangent line to the curve

A: Given curve is