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Find the equation of the tangent to the unit circle when x=sqrt(3)/2 (in the first quadrant)

Unit circle: x 2 + y 2 = 1 when x = sqrt(3)/2: y 2 = 1 - (sqrt(3)/2) 2 y 2 = 1 - 3/4 y 2 = 1/4 y = 1/2 or -1/2 (first quadrant, so y is positive, i.e. y = 1/2) find gradient at (sqrt(3)/2, 1/2): x 2 + y 2 = ...
KJ
Answered by Kiran J. • Maths tutor
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What is the rate of a reaction and how can you determine it experimentally?

The rate of a reaction is the rate at which reagents are used up and product are formed. Reaction rates depend on concentration. A typical rate law is rate=k*[A] m *[B] n . To find the values of m and n we w...
AC
Answered by Antonia C. • Chemistry tutor
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Integral of (2(x^3)-7)/((x^4)-14x)

Set f(x)= (x^4)-14x. f’(x)=4(x^3)-14=2(2(x^3)-7). Thus we can write (2(x^3)-7)/((x^4)-14x)=(1/2)f’(x)/f(x). The integral of f’(x)/f(x)=ln|f(x)|+c. Thus the integral of (2(x^3)-7)/((x^4)-14x) is (1/2)(ln|f(x)...
IK
Answered by Issy K. • Maths tutor
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Compare how Milton and Ford present sining in relation to Milton’s Paradise Lost Book IX and Ford’s ‘Tis Pity She’s A Whore.

Plan for essay John Milton’s Paradise Lost Book IX and John Ford’s ‘ Tis Pity She’s A Whore explore the causes and consequences of sin. Para 1- In both works sin is encouraged by false logic, that of man and...
AC
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What is the difference between the present perfect and the past perfect?

The present perfect is used to express an action in the past that could still be going on until this day. For example: "Ich habe seit seit gestern nicht gegessen". To form it, you need to use the a...
RK
Answered by Romy K. • German tutor
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