Answer:
dy/dx = ( 2x - y^2 - 1) / (3y^2 + 2xy + 1).
Step-by-step explanation:
Cross multiply:
x^2 = (x + y)(y^2 + 1)
Using the Chain and Product rules:
Finding the derivative:
2x = (x + y)(2y dy/dx) + (y^2 + 1)(1 + dy/dx)
2x = 2xy dy/dx + 2y^2 dy/dx + y^2 + y^2 dy/dx + 1 + dy/dx
2xy dy/dx + 2y^2 dy/dx + y^2 dy/dx + dy/dx = 2x - y^2 - 1
3y^2 dy/dx + 2xy dy/dx + dy/dx = 2x - y^2 - 1
dy/dx = ( 2x - y^2 - 1) / (3y^2 + 2xy + 1).
First quartile is 3
The range idk
The third quartile is idk
The answer should be h(x)=x+4
The Answer Is 18
Order Of Operation laws says that you must do the parentheses first, 45x2.
45x2=90
The next thing you must do is divide 90 by 10 since division is before addition.
90/10=9
Now combine like terms.
9+9=18
Answer: The value of q is exactly 7
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Explanation:
L = 16 is the length
W = 3 is the width
H = q is the unknown height
S = 362 is the surface area
We'll use the formula
S = 2*(L*W+W*H+L*H)
which is the surface area formula for any rectangular block
So plug in the given info and solve for q
S = 2*(L*W+W*H+L*H)
362 = 2*(16*3+3*q+16*q)
362 = 2*(48+3q+16q)
362 = 2*(48+19q)
362/2 = 2*(48+19q)/2 ... divide both sides by 2
181 = 48+19q
48+19q = 181
19q+48 = 181
19q+48-48 = 181-48 .... subtract 48 from both sides
19q = 133
19q/19 = 133/19 .... divide both sides by 19
q = 7