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Find the coordinates of the turning points of the curve y = 4/3 x^3 + 3x^2-4x+1

First differentiating by the rule that x n differentiates to nx n-1 we have that dy/dx = 4x 2 +6x-4. At the turning points of a curve the differential is equal to 0 so we set 0=dy/dx = 4x 2 +6x-4, by factori...
TE
Answered by Theo E. • Maths tutor
9485 Views

Solve the linear simultaneous equations: 3x + 5y = 45, 2x - 9y = -7

x = 10, y = 3. From the second equation, we have x = (9y - 7)/2. Substituting this expression for x into the first equation gives 3(9y - 7)/2 + 5y = 45. 3(9y - 7) + 10y = 90. 27y - 21 + 10y = 90. 37y = 111. ...
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Answered by Cameron W. • Maths tutor
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"El alcalde de tu ciudad ha prohibido las cadenas de comida rápida. Tú no estás seguro/a de si esta medida tan extrema es apropiada y decides entrevistarlo. Escribe el texto de la entrevista que será publicada en el periódico local."

This question is taken from Section A of a Spanish HL Paper 2, and roughly translates to: "The mayor of your city has banned fast food chains. You're not sure if such an extreme measure is appropriate a...
TM
Answered by Thomas M. • Spanish tutor
2215 Views

Explain the Cardiac Cycle

Deoxygenate blood from the body drains into the right atrium of the heart through the superior and inferior vena cave vessels. When the atria contract, blood is squeezed through the tricuspid valve into the ...
SP
3695 Views

integrate xcosx

use integration by parts
SB
Answered by Sebastian B. • Maths tutor
3938 Views