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A line L is parallel to y = 4x+5 and passes through the point (-1,6). Find the equation of the line L in the form y = ax+b.

If line L is parallel to line A it will have the same gradient; in this case, the letter a in the equation y=ax+b represents the gradient. Therefore line L will be of the form y=4x+b. To find the value of b,...
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Answered by Olivia K. • Maths tutor
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Showing all your working, evaluate ∫(21x^6 - e^2x- (1/x) +6)dx

∫(21x 6 -e 2x -1/x+6)dx To tackle this question, I would do each part separately. Firstly, take 21x 6 ...using the product rule this intergrates like so (21/(6+1))x 6+1 = (21/7)x 7 = 3x 7 Second, e kx always...
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Answered by David G. • Maths tutor
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A line has an equation y = e^(2x) - 10e^(x) +12x, find dy/dx

To differentiate this equation, treat it like you would any other equation you are differentiating without exponentials i.e. take each term on it's own and differentiate that individually, then put the answe...
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Answered by Shruti V. • Maths tutor
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Solve algebraically: 2x - 5y = 11, 3x + 2y = 7

Here we have two simultaneous equations with two unknowns. In order to solve this, we must first elimate one of the variables. To do this we will first make the coefficient (the number before) of one of the ...
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Answered by Georgia D. • Maths tutor
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Which equation of motion should I use?

There's a handy trick for choosing which of the equations of motion, or SUVAT equations, you need to use given a set of terms – let’s call it the VUAST trick. For these kinds of questions, there are always 3...
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Answered by Ben T. • Maths tutor
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