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Example determines the first four derivatives for following.
y = cos x
Solution: Again, let's just do some derivatives.
y′ = - sin x
y′′ = - cos x
y′′′ = sin x
y( 4) = cos x
Note as well that cosine (and sine) will repeat each four derivatives. The other four trig functions will not demonstrate this behavior. You may desire to take a few derivatives to convince yourself of this.
Root Test- Sequences and Series This is the final test for series convergence that we're going to be searching for at. Like with the Ratio Test this test will as well tell wh
The temperature at 6 P.M. was 31°F. Through midnight, it had dropped 40°F. What was the temperature at midnight? Visualize a number line. The drop from 31° to 0° is 31°. There
2(x+3x)+(x+3x)
A standard deck of cards contains 52 cards. One card is selected at random. Determine a) The probability that the card is a 8 or an Ace? b) The probability that the card is
Hi, I really need an idea and a layout on where i should take my Maths assignment. This is for Year 12, and i want to focus on Maths in Music. It has to be at least 6 to 12 pages l
Simpson's Rule - Approximating Definite Integrals This is the last method we're going to take a look at and in this case we will once again divide up the interval [a, b] int
with t =[a b c] construct a matrix A = 1 1 1 a b c a^2 b^2 c^2 a^3 b^3 c^3 using vector operations
ABCD is a parallelogram in the given figure, AB is divided at P and CD and Q so that AP:PB=3:2 and CQ:QD=4:1. If PQ meets AC at R, prove that AR= 3/7 AC. Ans: ΔAPR ∼ Δ
Definition of inverse functions : Given two one-to-one functions f ( x ) and g ( x ) if ( f o g ) ( x ) = x AND ( g o f ) ( x ) = x then we say that f ( x ) & g ( x ) are i
how to find area under a curve?
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