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Determine the Projection of b = (2, 1, -1) onto a = (1, 0, -2)
There is a requirement of a dot product and the magnitude of a.
a→ • b→ = 4 ||a→||2 = 5
the projection is then,
Proja? b→ = a→• b→ / (||a→||2) (a→)
= 4/5 (1, 0, -2)
= (4/5,0,- 8/5)
∫1/sin2x dx = ∫cosec2x dx = 1/2 log[cosec2x - cot2x] + c = 1/2 log[tan x] + c Detailed derivation of ∫cosec x dx = ∫cosec x(cosec x - cot x)/(cosec x - cot x) dx = ∫(cosec 2 x
Can you explain why is the steepness of a curve partially calculated by the units of measurement?
determine the exact value of cos (11*3.145/6)
find the area of the region within the cardioid r=1-cos
1) Find the maxima and minima of f(x,y,z) = 2x + y -3z subject to the constraint 2x^2+y^2+2z^2=1 2) Compute the work done by the force ?eld F(x,y,z) = x^2I + y j +y k in moving
l+bx2= 5000+100x2
Describe, in your own words, the following terms and give an example of each. Your examples are not to be those given in the lecture notes, or provided in the textbook. By the en
Definition 1. We say that f(x) consist an absolute (or global) maximum at x = c if f ( x ) ≤ f (c ) for every x in the domain we are working on. 2. We say that at x = c ,
I need help witth my homework can you help please
Properties of Dot Product - proof Proof of: If v → • v → = 0 then v → = 0 → This is a pretty simple proof. Let us start with v → = (v1 , v2 ,.... , vn) a
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