Top answers

Let f be a function defined in the interval (1,\infty) as f(x)=\integral_{e} ^{x^2} t/ln(t) dt. Find the equation of the tangent line to the graph of f at the point whose x-coordinate is sqrt{e}.

The equation of the tangent line to the graph of the function y=f(x) at the point whose x-coordinate is sqrt{e} is given by y-y f =m(x-x f ), where x f =sqrt{e}, y f =f(sqrt{e})=integral_{e}^{e} t/ln(t) dt =...
RM
Answered by Roberta M. • Italian tutor
1924 Views

Find the area bounded by the curve y=(sin(x))^2 and the x-axis, between the points x=0 and x=pi/2

First, use the identity cos(2x)=(cos(x))^2-(sin(x))^2 along with the identity (sin(x))^2+(cos(x))^2=1 to obtain the integral of 1/2*(1-cos(2x)) as it is not possible to integrate (sin(x))^2 straight off with...
TL
Answered by Thomas L. • Maths tutor
5483 Views

How can I learn French vocabulary effectively?

In order to memorise French vocabulary effectively you must review the chosen words for AT LEAST 5 minutes a day. There are many different apps from which you can choose to help your learning. For example, V...
EH
Answered by Emily H. • French tutor
3423 Views

What is a 'trade off'?

It involves choosing more of one and less than another, or choosing something instead of another.This means that 2 options are compared against each other in a scenario to find an optimum that will meet the ...
CH
Answered by Cora H. • Economics tutor
7389 Views

What are the 4 pillars of medical ethics?

Beneficience: the duty to goodAutonomy: respect for the patient's rights and self determinationNon-Maleficence: do no harmJustice: treat all people equally and equitibly.
JW
2196 Views