1. find the constant a such that the function f is continuous on the entire real number line, where 3x2, x ≥ 1 ax−4, x< 1 hint: the curve from the right hand side and the curve from the left hand of x = 1 must meet at point (1,f(

  a = 7

Step-by-step explanation:

The function given is defined at x=1 as ...

  f(1) = 3·1² = 3

In order to make the limit from the left be 3, we must have ...

  ax -4 = 3 . . . . for x=1

  1a = 7 . . . . . . .add 4

The value of the constant "a" is 7.

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

answer: f = 32.2m

step-by-step explanation: that is the answer