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A passenger is standing in a train. The train accelerates and the passenger falls backwards. Use Newton's first law of motion to explain why he fell backwards.

First we want to state what Newton's first law is. Newton's first law of motion states that an object at rest will remain at rest, or if in motion, will remain in motion at a constant velocity unless acted o...
AJ
Answered by Alice J. • Physics tutor
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Write down the value of (125)^2/3

When you see a fraction as the power like this you want to try to simplify it to things that you can do (like power of 1/2 or 2). 125 is one of the key numbers to remember when preparing for your GCSEs becua...
AJ
Answered by Alice J. • Maths tutor
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Find the integral of (3x^2+4x^5-7)dx

First of all note the dx means that we are integrating with respect to x. So lets integrate each term seperately.. 3x^2 ---> (raise the power by one then divide by the new power, so 3) ---> x^3 4x^5 --...
AJ
Answered by Alice J. • Maths tutor
5683 Views

Given that dy/dx=6-8x+x^4 and that x=1 when y=4. Find an expression for y in terms of x.

Fristly, we should integrate the whole equation, y=∫ 6-8x+x^4 dx y=6x-4x^2+x^5/5+C Then, subsitituting values to find the C, 4=6 1-4 1^2+1^5/5+C 4=6-4+1/5+C 4=11/5+C So, C=9/5. Hence, y=6x-4x^2+x^5/5+9/5.
PL
Answered by Paine L. • Maths tutor
6281 Views

Find dy/dx of 5x^2 + 2y^3 +8 =17.

As we have to differentiate both x and y, we must use implict differentiation for the y by differentiating it with respect to x (also written as d/dx) 5x 2 -> 10x (multiply the power by the number at the ...
AP
Answered by Anish P. • Maths tutor
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