For what value of the constant c is the function f continuous on (−[infinity],[infinity]) ? f(x)={cx2+2xifx<3x3−cxifx≥3

c = 6.25

Step-by-step explanation:

We are given the following piecewise function:

Continuous function:

A function f(x) is continuous, at a point a, if:

exists and

In this question:

Piece-wise function, so we have to verify if the limit exists.

The function changes at x = 3. So we verify at a = 3.

It will exist if:

To the left:

Less than 3.

To the right:

Greater than 3.

f continuous:

They have to be equal:

the expression (1.26)2t reveals the approximate rate of increases in the number of plants semiannually.

hope this : )

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

happy to

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