Questions
Percentage and Applications
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
General solution of PDE
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
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) = exg(x), where g(0) = 3 and g'(0) = 4, find f '(0).
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.
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.
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).
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