Substitute y = x + 1 into 2x - 5y = 4
-3x - 5 = 4
Solve for x in -3x - 5 = 4
x = -3
Substitute x = -3 into y = x + 1
y = -2
Therefore,
<u>x = -3</u>
<u>y = -2</u>
1cm is equal to 10mm, so 37cm is the same as 370mm
1cm is equal to 0.01m, so 37cm is the same as 0.37m
To find the area of the curve subject to these constraints, we must take the integral of y = x ^ (1/2) + 2 from x=1 to x=4
Take the antiderivative: Remember that this what the original function would be if our derivative was x^(1/2) + 2
antiderivative (x ^(1/2) + 2) = (2/3) x^(3/2) + 2x
* To check that this is correct, take the derivative of our anti-derivative and make sure it equals x^(1/2) + 2
To find integral from 1 to 4:
Find anti-derivative at x=4, and subtract from the anti-derivative at x=1
2/3 * 4 ^ (3/2) + 2(4) - (2/3) *1 - 2*1
2/3 (8) + 8 - 2/3 - 2 Collect like terms
2/3 (7) + 6 Express 6 in terms of 2/3
2/3 (7) + 2/3 (9)
2/3 (16) = 32/3 = 10 2/3 Answer is B
Answer:
4th one is correct
Step-by-step explanation:
