Question 3 (9 points) when computing certain trigonometric integrals via integration by parts, one sometimes bumps up against the wall of having to integrate a power of a trig function, e. g. sinn x = (sin x) n . in this exercise, you will verify the reduction formula for sine: if n ≥ 2 is an integer, z (sin x) n dx = − 1 n cos x(sin x) n−1 + n − 1 n z (sin x) n−2 dx. the name "reduction formula" comes from the fact that repeated applications will ultimately reduce the computation to r sin x dx (when n is odd) or r 1 dx (when n is even). (a) (3 points) apply the integration by parts formula to r (sin x) n dx by splitting off a sine factor and choosing dv = sin x dx

what is the graph

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

15% chance.

step-by-step explanation:

3/10 times, the 5 year old will get a tablet. 5/10 times, the 13 yer old will get a tablet. multiply both fractions to get 15/100 times, both would have a tablet.