Find the value V of the Riemann sum V = n ∑ k = 1 f ( c k ) Δ x k V=∑k=1nf(ck)Δxk for the function f ( x ) = x 2 + 4 f(x)=x2+4 using the partition P = { 1, 2, 4, 7 }, where the c k ck are the left endpoints of the partition. V =

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

first, let's see what the pattern is.

58 - x = 47

46 - x = 36

x = 9

so this means that the term after 25 is 25 - 9:

the next term in the sequence is 16.