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alekssr [168]
3 years ago
11

How many terms does the polynomial x^2 y^2 have

Mathematics
1 answer:
valina [46]3 years ago
3 0
2 terms! hope this helps :)
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Write the square roots of 49 i in ascending order of the angle.
Troyanec [42]

Answer:

The square roots of 49·i in ascending order are;

1) -7·(cos(45°) + i·sin(45°))

2) 7·(cos(45°) + i·sin(45°))

Step-by-step explanation:

The square root of complex numbers 49·i is found as follows;

x + y·i = r·(cosθ + i·sinθ)

Where;

r = √(x² + y²)

θ = arctan(y/x)

Therefore;

49·i = 0 + 49·i

Therefore, we have;

r = √(0² + 49²) = 49

θ = arctan(49/0) → 90°

Therefore, we have;

49·i = 49·(cos(90°) + i·sin(90°)

By De Moivre's formula, we have;

r \cdot (cos(\theta) + i \cdot sin(\theta) )^{\dfrac{1}{2}}  =  \pm \sqrt{r} \cdot \left (cos\left (\dfrac{\theta}{2} \right ) + i \cdot sin\left (\dfrac{\theta}{2} \right ) \right )

Therefore;

√(49·i) = √(49·(cos(90°) + i·sin(90°)) = ± √49·(cos(90°/2) + i·sin(90°/2))

∴ √(49·i) = ± √49·(cos(90°/2) + i·sin(90°/2)) = ± 7·(cos(45°) + i·sin(45°))

√(49·i) = ± 7·(cos(45°) + i·sin(45°))

The square roots of 49·i in ascending order are;

√(49·i) = - 7·(cos(45°) + i·sin(45°))  and  7·(cos(45°) + i·sin(45°))

8 0
2 years ago
ITS been increased by 39%​
Alenkasestr [34]

Answer:

Step-by-step explanation:

Let 'x' be the original price.

x + 39% of x = 197.38

x + 0.39 x   = 197.38

1.39x  = 197.38

      x = 197.38/ 1.39

      x = 142

6 0
2 years ago
Read 2 more answers
Does anyone know the bottom answer please
Rina8888 [55]

Answer:

6000000 divided by 10 = 600000

Step-by-step explanation:

Your answer should make sense

8 0
3 years ago
Use integration by parts to find the integrals in Exercise.<br> ∫(x+6)ex dx.
skelet666 [1.2K]

Answer:

xe^x+5e^x

Step-by-step explanation:

We have given integral \int (x+6)e^xdx

\int (xe^x+6e^x)dx

\int (I_1+I_2)dx , here I_1=xe^x and I_2=6e^x

Now first integrate I_1

So I_1=\int xe^x

Integrating by part

I_1=x\int e^x-\int e^x\frac{d}{dx}x

I_1=x e^x- e^x

I_2=6\int e^x=6e^x

So I=I_1+I_2=xe^x-e^x+6e^x=xe^x+5e^x

5 0
3 years ago
Right answers only will give brainliest!!!
vladimir2022 [97]

Answer:

10.7 cm^2

Step-by-step explanation:

First find the area of the base

A = 1/2 *2*1.7

A =1.7

Then find the area of one of the sides

A = 1/2 (2*3)

A = 3

There are 3 sides and they are identical

Multiply one of the sides by 3

3*3=9

Add the sides and the base together

9+1.7

10.7 cm^2

4 0
3 years ago
Read 2 more answers
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