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If we know that y is directly proportional to x and that when x=1, y=3, then what is the value of x when y=4?

The fact that y is directly proportional to x gives us that y=kx, where k is some constant.Firstly, we need to find the value of this constant, using the pair of values we are given in the question. We subst...
JE
Answered by Joshua E. • Maths tutor
4152 Views

Solve the following simultaneous equations, 1) 3x + 3y = 9 and 2) 4x + 2y = 13.

Solving the above question means to find a value of x and y that satisfies both equations. To solve this we first have to look at the x terms and y terms and decide which terms are the easiest to cancel out....
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Answered by Ellen B. • Maths tutor
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A curve with equation y=f(x) passes through the point (1, 4/3). Given that f'(x) = x^3 + 2*x^0.5 + 8, find f(x).

We know that f'(x) = x^3 + 2*x^0.5 + 8, and we can integrate both sides. This gives us f(x) = (1/4)*x^4 + (4/3) x^(3/2) + 8 x + c, remembering to add the constant of integration. Now, we are almost there, bu...
GC
Answered by George C. • Maths tutor
7247 Views

Find the integral of 4x^2 - 10x + 1/(x^(1/2)), with respect to x, in its simplest form.

= (4/3)x 3 - (10/2)x 2 + x 1/2 /(1/2) + C = (4/3)x 3 - 5x 2 + 2x 1/2 + C
AA
Answered by Aisha A. • Maths tutor
4205 Views

How do you turn 0.11111... (recurring) into a fraction

Let's look at what makes this question more difficult than, say, 0.5 or 0.01: as the decimal is recurring, you can't just multiply and divide by a big number to get a fraction. Example: multiply 0.01 times 1...
AP
Answered by Alvaro P. • Maths tutor
62318 Views