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If we have a vector 4x + 6y + z and another vector 3x +11y + 2z then what is the angle between the two?Give the answer in radians

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MS
Answered by Matthew S. • Maths tutor
4394 Views

Express 3cos(x)+4sin(x) in the form Rsin(x+y) where you should explicitly determine R and y.

Since Rsin(x+y)=Rsin(x)cos(y)+Rsin(y)cos(x), we can set Rcos(y)=4 (1) and Rsin(y)=3 (2) on comparison to the desired equation. Considering (2) divided by (1) we see that tan(y)=sin(y)/cos(y)=3/4 so y=atan(3/...
WV
Answered by William V. • Maths tutor
12211 Views

How Do I Integrate cos(x) and sin(x) with higher powers?

The answer to this question depends on one thing, whether this power is odd or even. For even powers we use the identity cos(2x) = 2cos^2(x)-1 = 1-2sin^2(x). So for example, the integral of cos^2(x) is found...
CR
Answered by Ciarán R. • Maths tutor
12318 Views

differentiate: y^2 + 3xy + x + y = 8

dy/dx = 3x+1/ -2y-3x-1
GF
Answered by Gabrielle F. • Maths tutor
4838 Views

How do you multiply matrices together?

Not all matrices can be multiplied together, so the first thing to do is check it's even possible! To do this write the matrices next to each other (we'll call the first one A and the second B). If the numbe...
RG
Answered by Rachael G. • Maths tutor
5433 Views