Consider the function f(x)=√(x+1). Let Tn be the nth degree Taylor approximation of f(10) about x=8.

Find:

(a) T1

(b) T2

Use 3 decimal places in your answer, but make sure you carry all decimals when performing calculations T2 is an over (over/under) estimate of f(10). If R2 is the remainder given by the Lagrange Remainder Formula:

|R2|≤.

step-by-step explanation:

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step-by-step explanation:

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²