There you go... a. 10

If we add x to both sides, we get rid of the x on the right side which leaves us 1/2x + 2 = 7. (1/2=0.5)

Then if we substract 2 from both sides, we will get 1/2x = 5

If half of x = 5, then the whole of x = 10.

7 0

3 years ago

Find the differential of each function. (a) y = tan( 7t ) dy = Incorrect: Your answer is incorrect. (b) y = 4 − v2 4 + v2 dy =

Kisachek [45]

Answer:

$(a) dy= 7sec^2(7t)dt\\\\(b) dy = \frac{-16v}{(4+v^2)^2} dv$

Step-by-step explanation:

Given;

(a) y = tan (7t)

let u = 7t

y = tan(u)

du/dt = 7

dy/du = sec²(u)

$\frac{dy}{dt} = \frac{dy}{du} *\frac{du}{dt}\\\\\frac{dy}{dt} = sec^2(u)* 7\\\\\frac{dy}{dt} =7sec^2(u)\\\\\frac{dy}{dt} = 7sec^2(7t)\\\\dy = 7sec^2(7t)dt$

(b)

$y = \frac{4-v^2}{4+v^2}\\\\$

let u = 4 - v²

du/dv = -2v

let v = 4 + v²

dv/du = 2v

$y = \frac{4-v^2}{4+v^2}\\\\\frac{dy}{dv} = \frac{vdu-udv}{v^2} \\\\\frac{dy}{dv} =\frac{-2v(4+v^2)-2v(4-v^2)}{(4+v^2)^2}\\\\\frac{dy}{dv} =\frac{-8v-2v^3-8v+2v^3}{(4+v^2)^2}\\\\\frac{dy}{dv} =\frac{-16v}{(4+v^2)^2}\\\\dy = \frac{-16v}{(4+v^2)^2}dv$

6 0

3 years ago

the volume of a right circular cone that has a height of 2.1 m and a base with a diameter of 13.7 m. Round your answer to the ne

stiks02 [169]

Answer: volume = 309.4 cubic meter

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

h represents the height of the cylinder.

r represents the radius of the cylinder.

π is a constant whose value is 3.14

From the information given

Height = 2.1 meters

Diameter of circular base = 13.7 meters.

Radius = diameter/2 = 13.7/2 = 6.85

Therefore,

Volume = 3.14 × 6.85² × 2.1 =

309.4 cubic meter to the nearest tenth

4 0

3 years ago