Over a million students use our free study notes to help them with their homework
We know from trigonmetric identities that cos(2x) = 2cos^2(x) -1, therefore cos^2(x) = 0.5(1+cos(2x)).
Subbing this in gives the following integrand: 0.5(1+cos(2x))sin(2x).
We can now split ...
By the chain rule ds/dt = ds/dr * dr/dv * dv/t. At a height of r, the water fills a hemisphere. So ds/dr = 6pir. dr/dv = 1/(dv/dr), so we need to find dv/dr. Students should have the formula for the v...
The first step to solving this is equation is to notice that the equation is of a similar to the form of a quadratic equation: ay^2 + by + c = 0 where a, b and c are constants. Next we introduce a new va...
Let u = x2+4x+2 so y = ln(u).
Then dy/du = 1/u and du/dx = 2x+4.
Using the chain rule we have:
dy/dx = (dy/du)*(du/dx)
= (1/u)*(2x+4)
= (2x+4)/(x2+...
These problems can be tricky as they use unfamiliar trigonometric functions such as secant and cosecant. It is much easier to approach these problems by replacing these trigonometric functions with more f...
←
417
418
419
420
421
→
Internet Safety
Payment Security
Cyber
Essentials
Comprehensive K-12 personalized learning
Immersive learning for 25 languages
Trusted tutors for 300 subjects
35,000 worksheets, games, and lesson plans
Adaptive learning for English vocabulary
Fast and accurate language certification
Essential reference for synonyms and antonyms
Comprehensive resource for word definitions and usage
Spanish-English dictionary, translator, and learning resources
French-English dictionary, translator, and learning
Diccionario ingles-espanol, traductor y sitio de apremdizaje
Fun educational games for kids
