Homework Statement
The voltage(V) volts in a circuit at time(t) is given by
V(t)=18(1 - e -4t/9)
Find the expression for dV/dt.
Hence evaluate dV/dt at
(a)t=0 and (b)t=5 seconds
Homework Equations
Just wondering if this is right and if not where did i go wrong...
Homework Statement
if y=logε((1 + √x)(/1- √x )) , show than
dy/dx = (1/(√x(1-x))
The Attempt at a Solution
y=logε((1 + √x)(/1- √x ))
y=logε(1+√x)-logε(1-√x)
dy/dx = 1-1/(1+√x) + 1/(1-√x)
i don't no what to do after this or if I am even going in the right direction!?
Homework Statement
Determine the equation of the tangent line and the equation of the normal line to the curve y at the point (-2,-5)
y=1+x+x^2
The Attempt at a Solution
y=1+x-x^2 point (-2,-5)
y=1+x-x^2
y=1-2x
sub in -2 for x...
Homework Statement
The acceleration a ms^-2 of a car is given by a=18t - 4 where t is the time in seconds.Derive expressions for the velocity v ms^-1 and the displacement x m if the initial velocity and displacement are both zero
Homework Equations
The Attempt at a Solution
would...