Ais a real 2x2 matrix and one of its eigenvalues is 1 4. which of the following could be a solution of the system x' ax ? cos (t)-4 sin (4 t a: e4 cos (t)-3 sin (4 t) cos (4 t) 4 sin (4 t) b: e4 cos (4 t)-3 sin (4t). c: e2 sin (4 )- 3 cos (4 t cos (4 t) 2 sin (4 t)
a) none can be a solution b) only (a) c) only (b) d) only (c) (a) and (b) f) (a) and (c) g) (b) and (c) h) all are possible solutions

3

step-by-step explanation:

because where the point where the 2 lines intersect is (3,-1) the x value is 3

inverse operation of addition

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get

for this case we have that by definition, the surface area of a cylinder is given by:

where:

r: it is the radius of the cylinder

h: it is the height of the cylinder

we can also rewrite it as:

where:

la: it's the lateral area

ba: area of the base

option a