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2 years ago

What is the number of cycles of y=1/8cos(5θ+π/6)+3 between 0 and 2π?

Mathematics

1 answer:

mr_godi [17]2 years ago

8 0

You are correct. The answer is B) 5.

This is because the period here is T = 2pi/5

Multiplying 5 with this period leads to 5*(2pi/5) = 2pi; showing that 5 full cycles occupy a total horizontal width of 2pi units (more specifically stretching from 0 to 2pi).

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Step by step plz 2x^2 + x - 3

Aleks04 [339]

Answer:

x = 1 or x = -3/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 + x - 3 = 0

The left hand side factors into a product with two terms:

(x - 1) (2 x + 3) = 0

Split into two equations:

x - 1 = 0 or 2 x + 3 = 0

Add 1 to both sides:

x = 1 or 2 x + 3 = 0

Subtract 3 from both sides:

x = 1 or 2 x = -3

Divide both sides by 2:

Answer: x = 1 or x = -3/2

7 0

3 years ago

Round to the nearest tenth 10.357

madam [21]

The answer is 10.4 because 5 is counted as higher so it's 10.4.

5 0

3 years ago

Read 2 more answers

Find an upper limit for the zeroes 2x^4 -7x^3 + 4x^2 + 7x - 6 = 0

erik [133]

Answer-

2 is the upper limit for the zeros.

Solution-

The given function f(x) is,

$2x^4 -7x^3 + 4x^2 + 7x - 6 = 0$

For calculating the zeros,

$\Rightarrow f(x)=0$

$\Rightarrow 2x^4 -7x^3 + 4x^2 + 7x - 6 = 0$

$\Rightarrow 2x^4-4x^3-3x^3+6x^2-2x^2+ 4x+3x-6=0$

$\Rightarrow 2x^3(x-2)-3x^2(x-2)-2x(x-2)+3(x-2)=0$

$\Rightarrow (x-2)(2x^3-3x^2-2x+3)=0$

$\Rightarrow (x-2)(x^2(2x-3)-1(2x-3))=0$

$\Rightarrow (x-2)(x^2-1)(2x-3)=0$

$\Rightarrow (x-2)(x+1)(x-1)(2x-3)=0$

$\Rightarrow x-2=0,\ x+1=0,\ x-1=0,\ 2x-3=0$

$\Rightarrow x=2,\ x=-1,\ x=1,\ x=\frac{3}{2}$

From all the 4 roots, it can be obtained that 2 is the greatest zero.

7 0

3 years ago

3/4 divided by 1/2 equals what

daser333 [38]

Answer:

.375

Step-by-step explanation:

((3/4)/1)/2 = 0.375

Hope it helps

5 0

3 years ago

Read 2 more answers

What is the missing denominator?3/4=18/?

nekit [7.7K]

Answer:

Step-by-step explanation:

The equations just need to be equal so you multiply 3 by 6 to get 8 and then 4 by 6 to get 24

3 / 4 = 18 / 24

3 0

3 years ago