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Find the tangent to y = x^2 - 4x + 9 at the point (3,15)

First find dy/dx: dy/dx = 4x - 4 And thus at (3,15): dy/dx = 12 - 4 = 8 = m (as m is the gradient of a curve) So using y - y 1 = m(x - x 1 ) where (x 1 ,y 1 ) = (3,15): y - 15 = 8(x - 3) y = 8x- 9
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Answered by Scott H. • Maths tutor
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What would happen to n and Emax when  a) the intensity is reduced to 1/2 I but the wavelength λ is unchanged? b) the wavelength λ is reduced but the intensity is unchanged?

FULL QUESTION: Electromagnetic radiation of wavelength λ and intensity I, incident on a metal surface, causes n electrons to be emitted per unit time. The maximum kinetic energy of the electrons is Emax. Wha...
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Answered by Kim E. • Physics tutor
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Why might a private limited company want to expand to become a public limited company? What are the advantages and drawbacks to doing so?

There are various reasons why a private company might want to become a public limited company, but the most common reason is to raise money in the public market by issuing shares. Investors who are eligible ...
MC
34161 Views

Find the derivative (dy/dx) of the curve equation x^2 -y^2 +y = 1.

Most of the differentiation problems require us to apply one of the well known rules, be it product rule, quotient rule or chain rule. But those problems have one thing in common: explicite formula for y, be...
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Answered by Adam G. • Maths tutor
6021 Views

How do you know when to put an accent or a stress on a word?

Normally in Latin languages, a word will have a stress on its penultimate vowel. However, if you say the word to yourself and hear that the stress is not on the penultimate vowel but indeed on the last lette...
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Answered by Thomas W. • Italian tutor
2801 Views