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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
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Why is the pancreas both an endocrine and exocrine gland?

Endocrine organs release their products (usually hormones) directly into the blood. The pancreas contains islets of Langerhans which are made up of alpha and beta cells. Beta cells secrete insulin and alpha ...
RC
Answered by Rym C. • Biology tutor
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Photons with 605 THz frequency strike metal of 1.2eV work function. Calculate the maximum energy of photoelectrons and their velocity. What amount of energy is necessary to stop all photoelectrons? (Planck's constant. electron mass and charge are given)

Start off by converting all given data into SI units to avoid confusion later on. The photoelectric effect happens when photons with energy larger than work function strike metal, thus releasing the electron...
IV
Answered by Ignas V. • Physics tutor
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The amplitude of a simple harmonic oscillator has decreased from 40cm to 38cm. What percentage of energy did the harmonic oscillator lose?

It is recommended to start off by converting all given data into SI units to avoid confusion later on. Write down the total energy of the system and that it is conserved: E(tot)= KE+PE and KE=(mv^2)/2; PE=(k...
IV
Answered by Ignas V. • Physics tutor
2890 Views

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

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