w2 + 14w + 49 is correct.
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Your first two lines are correct Obscure, but you go wrong after that (e.g. 7*7 = 49 not 14).
Like so:
\(\frac{8*5^{17}+11*5^{18}}{5^{18}* 63}\rightarrow \frac{5^{17}(8+11*5)}{5^{18}* 63}\rightarrow \frac{8+11*5}{5*63}\rightarrow\frac{1}{5}\)
For Max's Math Smileys:
h) is grad smiley (vector gradient), so grad (gradient) on the left becomes grad (graduate) on the right.
i) is curl smiley (the vector cross product differentiation operator).
No problem EP, but you might want to check your final value.
angular acceleration = linear acceleration/radius, so here: \(\alpha = 0.3/0.23s^{-2}\)
\(T=\frac{2}{3}\times 0.625\times 0.23^2\times \frac{0.3}{0.23} Nm\)
Hmm! There are more girtls than boys.
boys/girls = 2/3
Split the 30 into 5 parts (2 + 3 = 5) to get 6 students per part
Two parts are boys: 2*6 = 12
Three parts are girls: 3*6 = 18
i.e. There are 12 boys and 18 girls.
The vector/matrix section doesn't work, but you can enter matrices directly in the scientific section.
For example:
Input:
Press = or Enter to get output:
Correction! f(x) is an even function, so f(2017)(x) is odd, hence it's integral from -pi/2 to pi/2 is zero.
Guest #4 is correct.
Use V1/T1 = V2/T2 where V is volume and T is absolute temperature.
T1 = 273K. V2 = 1.1V1
V1/273 = 1.1V1/T2
T2 = 1.1*273 K
T2 = 300.3K or 27.3C