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Peter is 180cm tall, correct to 2 significant figures. Alice is 150cm tall, correct to 2 significant figures. What is the upper and lower bound of the difference in their heights?

Upper bound of Peter's height = 185cmLower bound of Peter's height = 175cmUpper bound of Alice's height = 155cmLower bound of Alice's height = 145cmFor the upper bound of the difference, we want the upper bo...
JT
Answered by James T. • Maths tutor
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320 people go on a coach trip. Each trip holds 53 people. Gary says 6 coaches are needed. Is Gary correct?

53 x 6 = 318320-318 = 2There are not enough coaches for the amount of people. 2 people would not be on a coach. 7 coaches are needed to ensure everyone has a seat on a coach.
AE
Answered by Arthur E. • Maths tutor
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The curve C has equation y=2x^2 -11x +13. (a) The point P has coordinates (2, – 1) and lies on C. Find the equation of the tangent to C at P.

We must firstly understand that the tangent at point P is linear, and we must use y = mx +c format for the equation. To calculate the equation we need to find the unknowns m and c. To find the unknown m whic...
CK
Answered by Charles K. • Maths tutor
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How to complete the square

Completing the square refers to the process of rewriting a general quadratic expression into the form of a(x+b) 2 + c .For example we are asked to complete the square for 2x 2 + 4x + 5. The best way to do th...
ZZ
Answered by Zitong Z. • Maths tutor
7085 Views

How can you integrate ln(x) with respect to x?

We can use substitution for this one. Take y=ln(x) to be equal to y= 1 x ln(x)Set u=ln(x) and dv/dx=1Compute du/dx and v:du/dx=1/x and v=xUse given formula - ∫ udv/dx dx = uv - ∫ vdu/dx dx= xln(x) - ∫ x/x dx...
SH
Answered by Samuel H. • Maths tutor
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