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What's the gradient of the curve y=x^3+2x^2 at the point where x=2?

Gradient is change in y divided change in x.As the change shrinks to effectively nothing (as we want to gradient at a point, not between points), we use dy/dx (the derivative of y with respect to x), to work...
ZI
Answered by Zachary I. • Maths tutor
8553 Views

When should I use the subjunctive?

In Spanish, there are 3 modes: indicative, subjunctive and imperative. We are going to be looking the first two of these. The indicative is probably the mode that you are most familiar with, and is used for ...
KL
Answered by Kyra L. • Spanish tutor
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Prove by induction that, for n ∈ Z⁺ , [3 , -2 ; 2 , -1]ⁿ = [2n+1 , -2n ; 2n , 1-2n]

STEP 1: Prove that the theorem holds for n = 1. Substitute n = 1 into the equation and show that the LHS = RHS. STEP 2: Assume that the relation is true when n = k. STEP 3: Prove that the relation holds for ...
FT
Answered by Flavia T. • Maths tutor
6028 Views

A particle P of mass 2 kg is held at rest in equilibrium on a rough plan. The plane is inclined to the horizontal at an angle of 20°. Find the coefficient of friction between P and the plane.

For any mechanics question such as this one the best way to start off is by drawing a diagram of the system and including all the forces acting on the particle P. In order to do so, we have to account for th...
FB
Answered by Fernando B. • Maths tutor
6936 Views

Der Vorleser Frage- “Michaels Beziehung mit Hanna hat sein ganzes Leben bestimmt”Inwiefern ist das auch deine Meinung?

Im Buch „Der Vorleser“ von Bernhard Schlink geht es um die Beziehung zwischen Michael und Hanna, einem 15-jährigen Jungen und einer 36-jährigen Frau. Diese Affäre hat eine bedeutende Auswirkung auf Michaels ...
RK
Answered by Roman K. • German tutor
12664 Views