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A curve has the equation y = 2x cos(3x) + (3x^2-4) sin(3x). Find the derivative in the form (mx^2 + n) cos(3x)

y = 2x cos(3x) + (3x2-4) sin(3x)
dy/dx = (2x x -sin(3x) x 3) + (2 x cos(3x)) + (6x sin(3x)) + ((3x2-4) cos(3x) x 3)
dy/dx = -6x sin(3x) + 2 cos (3x) + 6x sin(3x)...

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Answered by Thomas L. Maths tutor
8964 Views

What are some different editing techniques used in film?

Key techniques of editing: Continuity editing – creating the illusion of scenes being filmed at once / match of action is often used to make the order seem uninterrupted – fills ou...

EG
3163 Views

What is the nth term of the sequence 5, 7, 9, 11....

Difference between each number is +2Therefore the sequence is 2n + C
When n = 1 the value is (2x1) + C = 2 + C = 5C = 36
nth term is 2n + 3
CHECK
3rd term should be...

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Answered by Thomas L. Maths tutor
24074 Views

How do you know when a word is masculine or feminine?

All Spanish nouns are either masculine or feminine - remember nouns are all things, ideas, places, or people. You cannot predict the gender of a noun in English, for example the Spanish w...

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Answered by Eleanor G. Spanish tutor
26586 Views

A pellet of mass 8.8 g embeds itself in a wooden block of 450 g which is suspended by a light in-extensible string. After the collision the block reaches a max height of 0.63 m. Calculate the initial velocity of the pellet.

Max Gravitational Potential energy of combined mass:GPE = m x g x h= ( 0.0088 kg + 0.450 kg ) x 9.81 ms^-2 x 0.63 m = 2.84 J
Therefore Kinetic energy of the combined mass at the collision = 2.84 JKE ...

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Answered by Thomas L. Physics tutor
5692 Views

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