<span>y = tan^−1(x2/4)</span>
tan(y) = x2/4
sec2(y) = x/2
y′ = xcos^2(y)/2
<span>cos^2(y) = <span>16x2+16</span></span>
<span>y′ = <span>8x/(<span>x2+16)
let u be x2+16
du is 2x dx
dy = 4 du / u
y = 4 ln (</span></span></span>x2 <span>+ 16)
y at x =0 = </span> 4 ln (<span>16) = 11.09</span>
Answer:
C + 52 ≥ 78
Step-by-step explanation:
Since Sam needs at least 78 credits to a college degree, the inequality is represented by a more than or equal to symbol (≥).
Answer:
The horsepower required is 235440 watt.
Step-by-step explanation:
To find : What horsepower is required to lift an 8,000 pound aircraft six feet in two minutes?
Solution :
The horsepower formula is given by,

Where, W is the horsepower
m is the mass m=8000 pound
g is the gravitational constant g=9.81
t is the time t= 2 minutes
h is the height h=6 feet
Substitute all values in the formula,



Therefore, The horsepower required is 235440 watt.
Answer) -5/2 quarts per hour
Work) There are 60 minutes in an hour and the faucet is losing water every 15 minutes so divide 60/15 and you get 4, next you take the 5/8 and times it by the 4 and you get -5/2
Answer:
L = 3√5
Step-by-step explanation:
A square and a rectangle have equal areas.
Area of a square = Area of a rectangle
L² = H * W
If the dimensions of the rectangle are 15 units by 3 units,
L² = 15 * 3
L² = 45
Determine the length of the side of the square.
L = √45
L = 3√5