Answer:
dy/dx = -5y - y/x
Step-by-step explanation:
In xy + 5x = 30
Differentiating xy implicitly
y + xdy/dx
Assuming u = xy
In xy = In u
Differentiating In u = 1/u = 1/xy
Differentiating 5x = 5 and differentiating a constant (30) = 0
1/xy(y + xdy/dx) + 5 = 0
(y + xdy/dx)/xy = -5
(y + xdy/dx) = -5xy
xdy/dx = -5xy - y
dy/dx = = (-5xy - y)/x
dy/dx = -5y - y/x
F = 3/r.
The formula for the volume of a cylinder is
V=πr²h. We know that h=2r, so this gives us:
V = πr²(2r) = 2πr³
The surface area of a cylinder is the sum of the areas of all of the faces. The bottom and top are circles, whose areas are both given by A=πr². The lateral area of a cylinder is given by the circumference multiplied by the height. C = 2πr, and the height is 2r, so the lateral area would be
A=(2πr)(2r)= 4πr². This gives us a total surface area of
SA = 4πr²+πr²+πr² = 6πr².
The ratio of surface area to volume would be:
SA/V = 6πr²/2πr³. After simplifying, we have f=3/r.
3 ways to express 3 to the 5th power as the product of powers
First expression
=> 3 x 3 x 3 x 3 x 3 - In this expression, we multiplied 3 5 times and the product is 243
Second expression
=> 3 ^ 5, in where ^ read as raised to the power, the product is also 243
Third expression
=> 3^2 x 3^3
=> (3 x 3) x (3 x 3 x 3)
=> 9 x 27, the product also equals to 243.
Answer:
1.14male studying biology
Answer: 2x^2
The three terms are
2x^2
-3x
5
as they are separated by a plus sign. You can think of it as 2x^2 + (-3x) + 5 if you want. The quadratic term is the term with the exponent of 2
