A sum of Rs.6000 is borrowed at 10% pa compounded interest and paid back in three equal annual instalments.

What is the approximate amount of each instalment?

In: Math

Find the general solution of the PDE.

\(y^{\prime \prime}-6 y^{\prime}+9 y=0\)

In: Math

Y varies directly as the square of x. If y = 144 when x = 6, what is the value of y

when x = 3

In: Math

If \(f(x)=e^{x} g(x),\) where \(g(0)=3\) and \(g(0)=4,\) find \(f(0)\)

In: Math

Find equations of the tangent lines to the curve y = (x-1)/(x+1) that are parallel to the line x − 2y = 5.

In: Math

Let P(x) = F(x)G(x) and Q(x) = F(x)/G(x), where F and G are the functions whose graphs are shown.

(a) Find P ' (2)

(b) Find Q ' (7)

In: Math

if f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = f(x)/g(x)

(a) Find u'(1)

(b) Find v'(5).

In: Math