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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)...

TL
Answered by Thomas L. Maths tutor
8965 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 ...

TL
Answered by Thomas L. Physics tutor
5693 Views

Explain the reactions of CH3CH2Cl with the nucleophile NH3 and name the initial product formed.

Nucleophile- electron pair donor. If electron dense it's therefore attracted to a positive charge. A partial positive charge can be found on the C atom due to the electronegativity of chlorine. Therefore,...

LM
Answered by Libby M. Chemistry tutor
11221 Views

How to structure an essay style answer?

I would always suggest to follow the simple "PEEL" format. This is the most effective and efficient way to get your point across without loosing the examiners attention. It is all about making i...

EG
5951 Views

How do i decide whether to use ser or estar?

In general, ser is used to describe permanent or innate qualities where as estar is used to describe something more temporary. So geographical location, weather and moods and continuous actions are descri...

MH
Answered by Megan H. Spanish tutor
2059 Views

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