y = tan^−1(x2/4) tan(y) = x2/4 sec2(y) = x/2 y′ = xcos^2(y)/2 cos^2(y) = 16x2+16 y′ = 8x/(x2+16)

let u be x2+16
du is 2x dx
dy = 4 du / u
y = 4 ln (x2 + 16)

y at x =0 = 4 ln (16) = 11.09

6 0

2 years ago

it is equally probable that the pointer on a spinner will land on any one of the eight regions. if the spinner lands on a boarde

Tamiku [17]

Answer:

1/3

Step-by-step explanation:

3 0

2 years ago

What is the product? (5r − 4)(r2 − 6r + 4)

maxonik [38]

Answer:

Step-by-step explanation:

(5r-4)(2r-6r+4)

1(5r-4)+1(2r-6r+4)

5r-4+2r-6r+4

5r+2r-6=1r

1r-4+4

-4+4=0

7 0

1 year ago

7. An aquarium is shown below. The

Mnenie [13.5K]

Answer:

1920 in³

Step-by-step explanation:

The volume of the water can be gotten by calculation the volume of the aquarium it fills/occupies.

Since the water fills to exactly three inches below the top of the aquarium, hence the height of the water in the aquarium is given as:

height of water = 13 in - 3 in = 10 in

Therefore the volume of the water in the tank is given by the formula:

Volume of water = height of water * breadth of tank * length of tank

Volume of water = 10 in * 8 in * 24 in = 1920 in³

6 0

2 years ago