Add the following expressions:
`t-t^2-t^3-14,15t^3+13+9t-8t^2,12t^2-19-24t`

Simplify each of the following expressions: 4st(s-t)-6s^(2)(t-t^(2))-3t^(2)(2s^(2)-s)+2st(s-t)

Find each of the following products 9t^(2)(t + 7t^(3))

Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: t^(2)-3,2t^(4)+3t^(3)-2t^(2)-9t-12

Write the corect number in the given boxes from the following A.P. 1,8,15,22,….. . Here, t1=□,t2=□,t3=□,t4=□,t2−t1=□,t3−t2=□∴a=□,d=□

Find the coefficient of t^(8) in the expansion of (1+2t^(2)-t^(3))^(9)

Find the slope of the tangent to the curve x=t^2+3t-8 , y=2t^2-2t-5 at t=2 .

The vertices of a triangle are [a t_1t_2,a(t_1 +t_2)], [a t_2t_3,a(t_2 +t_3)], [a t_3t_1,a(t_3 +t_1)] Then the orthocenter of the triangle is (a) (-a, a(t_1+t_2+t_3)-at_1t_2t_3) (b) (-a, a(t_1+t_2+t_3)+at_1t_2t_3) (c) (a, a(t_1+t_2+t_3)+at_1t_2t_3) (d) (a, a(t_1+t_2+t_3)-at_1t_2t_3)