Question

Number of points at which f(x) = 3+2sinx has maximium in the interval (-11 pie/2 , 100 pie) is

Answer 1

@amistre64
what does this statement mean

Answer 2

it means: for the stated function, along the stated interval, how many points are there that have a maximum value?

since sine is a wave, its going to tend to have a period to it in which the maximum values repeat themselves ....

Answer 3

how can i solve this

Answer 4

notice that for max values; the function 2+sin and sin will share the same x values

take the derivative and solve it for zero to find critical points

Answer 5

cosx=0
x= pi/2

Answer 6

good, but ALL points, so ... x = odd multiples of pi/2

Answer 7

now, some of those are minimums, pi/2, 5pi/2, 9pi/2 these multiples should account for the maxes

Answer 8

so, the sequence 1,5,9,.. is arithmatic and is generated by an = -3 + 4n

giving us maxes values at: (4n-3)pi/2, along the interval stated

Answer 9

1, 5, 9 is the number of points

Answer 10

no, those would be the integer values associated with pi/2 that relate to maexs

Answer 11

k