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Given that, dy/dx = 6x^2 - 3x + 4, and y = 14 when x = 2, express y in terms of x.

dy/dx = 6x2 - 3x + 4
To retrieve the original function y from dy/dx you have to integrate the derivative with respect to x.
y = ∫(dy/dx)dxy = ∫(6x2 - 3x + 4)dx
To inte...

CB
Answered by Ciaran B. Maths tutor
5498 Views

Do the circles with equations x^2 -2x + y^2 - 2y=7 and x^2 -10x + y^2 -8y=-37 touch and if so, in what way (tangent to each other? two point of intersection?)

We must first complete the square for both equations and get the equations in the (x-a)2+(y-b)2=r2 with the primary objective of determining the centres of both circles (a...

SS
Answered by Shanti S. Maths tutor
3062 Views

How do you translate a sentence?

The first thing to do when translating a sentence is to read it over at least once, to get a general gist of how long it is, how many clauses there are, in short, how easy or difficult said sentence will ...

LB
Answered by Luke B. Latin tutor
2051 Views

How does Shakespeare present the theme of love in Othello? (passage will be available)

OBJECTIVES; A01analysing language based off whatever passage is presentedA02 construct a cohesive argumentparagraphingclear introduction and conclusionA03context; Elizabethan Ageimages of women and black ...

AB
3448 Views

What is rationalisation and how does it contribute to the process of secularisation? (Looking at modern Britain)

In 1966 Wilson introduced and defined secularisation as the process where religious beliefs and practices lose social significance. There are a variety of factors that contribute to a society becoming sec...

CP
Answered by Cora P. Sociology tutor
10741 Views

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