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\\P(x)$ is an even polynomial with real co-efficients having \\the following properties:$\\\\ $(a) it has a complex zero$\\$(b) P(1)=2 and P(2)=$-1\\\\$State the least degree of $x$ \textbf{giving reasons}. I got 6. There must be a root between 1 and 2 since the y values change sign, and...

Hey guys, could u have a look at this question? <a href="http://www.codecogs.com/eqnedit.php?latex=\\$A small amount of pure sodium metal is dropped ino 1.2L of water. The reaction is summaries in the following equation...

Hey guys i need help with this question: \\ \textup{(a) Show that the equation } x^{3}-6x^{2}+9x-5 = 0 \textup{ has only one real root } \alpha. \\ \textup{(b) Determine the two consecutive integers between which } \alpha \textup{ lies.} \\\textup{(c) By considering the product of the roots of...

Hi guys, I've been revising over a bit of space and have come across questions asking to calculate the size of a rocket's thrust when they give you they velocity of the exhaust gas and the rate a which it burns. Eg. A rocket with an exhaust velocity of 1.3 × 10^3 ms^–1 burns fuel at a rate of...

Hi, Recently i've been looking at integrating using Euler's formula, i don't know when it will be useful but im trying to get the hang of it.. Ive been trying to do this integral: \int%20\%20e^x%20sin^2x%20dx using Euler's formula but i can't get it. I can do it using integration by parts...

HEY GUYS, HOW DO U SOLVE THIS INEQUALITY?

Hi guys, i need help with this question please! Mesons have a life of 2.2µs. However, mesons formed in the upper atmosphere as air particles are hit by cosmic rays take 16µs to reach the ground. Calculate the speed of the meson. It's from Surfing Physics - Space by Brian Shadwick. Thanks...