Given z1= sqrt 2 (cos(3pi/4)+ i sin (3pi/4)) and z2= (cos(pi/2)+ i sin (pi/2)), what is the value of z1-z2?

Janet makes homemade dolls. Currently, she produces 23 dolls per month. If she increased her production by 18%, how many dolls w

SCORPION-xisa [38]

Answer:

First, calculate 18% of 23.

23 x 0.18 = 4.14

Then, add this value (the increase) to the original value of 23.

23 + 4.14 = 27.14

Rounding off, we get 27.

Step-by-step explanation:

8 0

3 years ago

Three moons are in the same circular orbit around a planet. The moons are each 115,000 kilometers from the surface of the planet

marshall27 [118]

275,000 km
The moons A, B, C form a right triangle with AC forming a hypotenuse with the diameter of the planet and the distance of both moons from the surface. So add A to the surface, plus the diameter of the planet, plus surface to c.
115000+45000+115000 = 275000

7 0

2 years ago

Read 2 more answers

Use implicit differentiation to find the points where the parabola defined by x2−2xy+y2+4x−8y+20=0 has horizontal and vertical t

Komok [63]

Answer:

The parabola has a horizontal tangent line at the point (2,4)

The parabola has a vertical tangent line at the point (1,5)

Step-by-step explanation:

Ir order to perform the implicit differentiation, you have to differentiate with respect to x. Then, you have to use the conditions for horizontal and vertical tangent lines.

-To obtain horizontal tangent lines, the condition is:

$\frac{dy}{dx}=0$ (The slope is zero)

--To obtain vertical tangent lines, the condition is:

$\frac{dy}{dx}=\frac{1}{0}$ (The slope is undefined, therefore the denominator is set to zero)

Derivating respect to x:

$\frac{d(x^{2}-2xy+y^{2}+4x-8y+20)}{dx} = \frac{d(x^{2})}{dx}-2\frac{d(xy)}{dx}+\frac{d(y^{2})}{dx}+4\frac{dx}{dx}-8\frac{dy}{dx}+\frac{d(20)}{dx}$ = $2x -2(y+x\frac{dy}{dx})+2y\frac{dy}{dx}+4-8\frac{dy}{dx}= 0$