Answer:
600 minutes
Step-by-step explanation:
60 minutes in an hour
60 × 10 is 600
For this case, the first thing we must do is define a variable.
We have then:
x: real number
Now we write the expression:
-8 / (x + 3)
The number x can be all real different from minus three.
Answer:
-8 / (x + 3)
With x different from -3.
Answer:
Step-by-step explanation:
Profit, P(x), is the difference between revenue, R(x), and cost, C(x)
R(x) = 2x^4 - 3x^3 + 2x - 1
C(x) = x^4 -x^2 + 2x + 3
Substituting into the equation
P(x) = R(x) - C(x)
= (2x^4 - 3x^3 + 2x - 1) - (x^4 -x^2 + 2x + 3)
= x^4 - 3x^3 + x^2 - 4
The answer is the lower left option.
Answer:
a. p1(x) = 2 - x
b. p2(x) = x² - 3*x + 3
c. p1(0.97) = 1.03; p2(0.97) = 1.0309
Step-by-step explanation:
f(x) = 1/x
f'(x) = -1/x²
f''(x) = 2/x³
a = 1
a. The linear approximating polynomial is:
p1(x) = f(a) + f'(a)*(x - a)
p1(x) = 1/1 + -1/1² * (x - 1)
p1(x) = 1 - x + 1
p1(x) = 2 - x
b. The quadratic approximating polynomial is:
p2(x) = p1(x) + 1/2 * f''(a)*(x - a)²
p2(x) = 2 - x + 1/2 * 2/1³ * (x - 1)²
p2(x) = 2 - x + (x - 1)²
p2(x) = 2 - x + x² - 2*x + 1
p2(x) = x² - 3*x + 3
c. approximate 1/0.97 using p1(x)
p1(0.97) = 2 - 0.97 = 1.03
approximate 1/0.97 using p2(x)
p2(0.97) = 0.97² - 3*0.97 + 3 = 1.0309
Answer:
B. 33
Step-by-step explanation:
36 - (9/ 3)
36 - 3
33
