Question

Find the approximate value of x³ - 2x² + 3x + 2 at x = 3.02

Answer 1

x³-2x²+3x+2
(3.02)³-(2*9.12)+(3*3.02)+2
27.54 - 18.24+9.06+2
38.6-18.24
20.36

Answer 2

Answer:

approximate value of $x^3 - 2x^2 + 3x + 2$ at x = 3.02 is 20.363

Step-by-step explanation:

$x^3 - 2x^2 + 3x + 2$

put x = 3.02

we will get,

$(3.02)^3 - 2\times (3.02)^2 + 3 \times 3.02 + 2$

$=(3.02)\times (3.02)\times (3.02) - 2\times (3.02)\times(3.02) + 3 \times 3.02 + 2$

$= 27.544 - 18.241 + 9.06 +2$

$x^3 - 2x^2 + 3x + 2=20.363$

Approximate value of $x^3 - 2x^2 + 3x + 2$ at x = 3.02 is 20.363