Write an equation of the tangent line to the curve traced by r(t) = ti + ((t^(2)/ 2) + 3)j + 2tk at the point corresponding to t = 2

Q: 9 (y) = (y-4) (2y + y²)

A: Here is the solution:

Q: The curve given by y2+y=x3-x is called and "elliptic curve" Using implicit differentiation, find the…

A:

Q: Find an equation for the tangent line of the curve 2(x2+y2)2 = 25(x2-y2) at the point (3,1) by…

A:

Q: Finf the equation of the tangent line to (cos(x)ex10x)/(Sec2(5x)+1)+11 at the point (0,11)

A: Given,           The equation of the tangent line to (cos(x)ex10x)(sec2(5x)+1)+11  at the point…

Q: Find an equation of the tangent line to the curve at the given point. y=4x/(x+1)^2 y = ,    (0, 0)

A:

Q: Find the derivative of 1-3)* (t3 -8) ,t # 2 2-t

A: Explanation of the answer is as follows

Q: Determine the tangent line to the curve when t=2 x=e^2t sint and y=e^3t

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: