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Use the Intermidiate Value Theorem to prove that there is a positive number c such that c^2 = 2.

This exercise is asking to prove the existance of the square root of 2. So let's consider the function f(x) = x^2. Since f(x) is a polynomial, then it is continuous on the interval (- infinity, + infinity). ...
DK
Answered by Dilyana K. • Maths tutor
9607 Views

How do I form the subjunctive for regular verbs in French?

The subjunctive is a mood used to express statements which are uncertain, for example, expressing emotion, possibility, necessity or desire. To form the subjunctive for regular verbs (and some irregular ones...
KM
Answered by Kirsty M. • French tutor
3974 Views

How do I plot a line on a graph, given the equation y=2x+1 ?

A simple way to do this is to use substitution. You can pick values for x such as x=0,1,2 and find the values for y. When you have two or more coordinates you can plot the line. In this case you could find c...
HP
Answered by Hannah P. • Maths tutor
6376 Views

How do I start writing an essay?

The most important thing about the essay-writing process is planning. The amount of time that you spend planning an essay determines how well that essay will flow and ultimately, the mark that you will get. ...
DL
4988 Views

Given that: y = 5x^3 + 7x + 3. What is dy/dx? What is d^2y/dx^2?

Firslty, the common rule when differentiating is nx m has the derivative of (n)(m)x m-1 . Therefore applying this rule to each individual component of the function: dy/dx=(5)(3)x 3-1 +(7)(1)x 1-1 +(3)(0) =(1...
ME
Answered by Monty E. • Maths tutor
7285 Views