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.

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column

47 - 90 = 43

43 - 180 = x

x = 137