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Solve the equation 3x^(2)-7x+3 giving your answer to three significant figures.

Since there is no further factorisation possible we use the quadratic formula x=[-b±√(b 2 -4ac)]/2a. From the equation in question we have a=3, b=-7, c=3. Substituting into the quadratic formula x=[7±√((-7) ...
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Answered by Benjamin H. • Maths tutor
5188 Views

Use the substitution u=4x-1 to find the exact value of 1/4<int<1/2 ((5-2x)(4x-1)^1/3)dx

We are required to solve this integral using integration by substitution, in which we assign a variable to equal a certain region of the integrated function in this case, 4x-1. The purpose of this is to remo...
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Answered by Taylor R. • Maths tutor
6847 Views

Find the value of x when 2x^2 - x - 6 = 0

2x 2 - x - 6 = 0 This must first be factorised - I use the 'box method' when the reciprocal of x 2 is &gt;1. This is difficult to explain via writing but it involves a little trial and error. 2x + 3 --&gt; (...
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Answered by Gayathri S. • Maths tutor
9247 Views

If given two parametric equations for a curve, how would you work out an equation for the gradient?

Parametric equations will have both the x and the y coordinates expressed in terms of another paramater, usually t . Gradients of curves are expressed in the form of an equation of d y/ d x, in order to work...
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Answered by Mollie W. • Maths tutor
5091 Views

Show that Sec2A - Tan2A = (CosA-SinA)/(CosA+SinA)

Sec2A - Tan2A Definition of Sec and Tan = 1/Cos2A - Sin2A/Cos2A Combining Fractions = (1 - Sin2A) / (Cos2A) Apply Double Angle Formula = (1 - 2SinACosA) / (Cos 2 A - Sin 2 A) Make use of 1 = Cos 2 x + Sin 2 ...
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Answered by James C. • Maths tutor
37888 Views