Answer:
(m³/3 + 5m/2 + 3)pi
Step-by-step explanation:
pi integral [(f(x))² - (g(x))²]
Limits 0 to 1
pi × integral [(2+mx)² - (1-mx)²]
pi × integral[4 + 4mx + m²x² - 1 + 2mx - m²x²]
pi × integral [m²x² + 5mx + 3]
pi × [m²x³/3 + 5mx²/2 + 3x]
Upper limit - lower limit
pi × [m²/3 + 5m/2 + 3]
Verification:
m = 0
[pi × 2² × 1] - [pi × 1² × 1] = 3pi
[m³/3 + 5m/2 + 3]pi
m = 0
3pi
Answer:
All real numbers greater than or equal to -3
Step-by-step explanation:
we know that
The curved line could be a vertical parabola opening upwards with vertex at (2,-3)
The vertex is a minimum
The y-intercept is the point (0,1)
The x-intercepts are the points (0.25,0) and (3.75,0)
so
The domain is the interval -----> (-∞,∞)
All real numbers
The range is the interval ----> [-3,∞)
All real numbers greater than or equal to -3
Given:
Tom's earnings: x
Jan's earnings: 2x - 150
Total earnings: 1380
x + 2x - 150 = 1380
3x = 1380 + 150
3x = 1530
3x/3 = 1530/3
x = 510
Tom's earnings: x = 510
Jan's earnings: 2x - 150 = 2(510) - 150 = 1,020 - 150 = 870
total earnings: 1,380
510 + 870 = 1,380
1,380 = 1,380
Answer:
total price is $702
Step-by-step explanation:
650 x 0.08 = $52 tax amount
650 + 52 = $702
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Step-by-step explanation:
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