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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...

Answered by Roberta M. • Italian tutor

935 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 w...

Answered by Thomas L. • Maths tutor

3359 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...

Answered by Emily H. • French tutor

1112 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 t...

Answered by Cora H. • Economics tutor

3935 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.

Answered by Joe W. • Medical School Preparation tutor

1186 Views