Find dy/dx and d2 y/dx2 . For which values of t is the curve concave upward? 13. x = et , y = te-t

Find dy/dx and d² y/dx² . For which values of t is the curve concave upward?

13. x = e^t , y = te^-t

In: Advanced Math

Find the equation of the plane through the point (1,1,1) which is perpendicular to the line of intersection of the two planes x−y−3z=−1 and x−3y+z= 2.

Find the equation of the plane through the point (1,1,1) which is perpendicular to the line of intersection of the two planes x−y−3z=−1  and x−3y+z= 2.

In: Advanced Math

Solve the 4 degree polynomial equation.

Solve the 4 degree polynomial equation \( x^4 − 2x^3 + 4x^2+ 6x − 21 = 0 \), given that the sum of two its roots is zero.

In: Advanced Math