Which function is even? check all that applya. y = csc x
b. y = sin x
c. y = sec x
d. y = cos x

Answers

Answer 1
Answer:

The function is even will be y = sec x and y = cos x. Then the correct options are C and D.

What is an even function?

Even Function - A true function f(x) is said to be an even function if the output value of f(-x) is the same as the f(x) for all values of x in the domain of f.

The equation should be stored in an even function:

f(-x) = f(x)

Check all that apply.

a. y = csc x, then replace x with -x. Then we have

y = csc -x

y = 1/sin -x

y = - 1/ sin x

y = -csc x

b. y = sin x, then replace x with -x. Then we have

y = sin -x

y = - sin x

c. y = sec x, then replace x with -x. Then we have

y = sec-x

y = 1/cos -x

y = 1/ cos x

y = sec x

d. y = cos x, then replace x with -x. Then we have

y = cos -x

y = cos x

Thus, the function is even will be y = sec x and y = cos x.

Then the correct options are C and D.

More about the even function link is given below.

brainly.com/question/3975387

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Answer 2
Answer:

Answer: c and d

Step-by-step explanation: they’re both even


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Dy/dx=2xy/x²+y² solve​

Answers

Answer:

y=(-1)/(2) \sqrt[]{4x^2+4c_(1)^2} -c_(1)\ or \ (1)/(2) \sqrt[]{4x^2+4c_(1)^2} -c_(1)

Step-by-step explanation:

As it is first order nonlinear ordinary differential equation

Let y(x) = x v(x)

2xy/(x²+y²)=2v/(v^2+1)

dy=xdv+vdx

dy/dx=d(dv/dx)+v

x(dv/dx)+v=(2v)/(v^2+1)

dv/dx=[(2v)/(v^2+1)-v]/x

(dv)/(dx)=(-(v^2-1)v)/(x(v^2+1))

(v^2+1)/((v^2-1)v)dv=(-1)/(x)dx

(v^2+1)/((v^2-1)v)dv = ∫(-1)/(x)dx

u=v^2

du=2vdv

Left hand side:

(v^2+1)/(v(v^2-1))dv

=∫(u+1)/(2u(u-1))du

=(1)/(2)((2)/(u-1) -(1)/(u) )du

=ln(u-1)-(ln(u))/(2) +c

=ln(v^2-1)-(ln(v^2))/(2)+c

Right hand side:

=-ln(x)

Solve for v:

v=-\frac{-c_(1)+\sqrt{c_(2)+4x^2 }  }{2x} \ or \  \frac{-c_(1)+\sqrt{c_(2)+4x^2 }  }{2x}\n

y=(-1)/(2) \sqrt[]{4x^2+4c_(1)^2} -c_(1)\ or \ (1)/(2) \sqrt[]{4x^2+4c_(1)^2} -c_(1)

Sky needs $6700 for school and has two options. Option A: 5 years at 5% interest with monthly payments of $126.44 Option B: 6 years at 3.5% interest with monthly payments of $103.30 Calculate the total payback on each loan and calculate how much Sky will save by choosing option B.

Answers

Answer:

148.80

Step-by-step explanation:

Take 126.44 multiply by 60 months equals 7586.40

Take 103.30 multiply by 72 months equals 7437.60

Subtract 7437.60 from 7586.40

Final answer:

The total payback for Option A would be $7,586.4 and for Option B it would be $7,437.60. The difference of $148.8 indicates the savings Sky would have by choosing Option B over Option A.

Explanation:

Firstly, to calculate the total payback for each loan, you multiply the number of payments by the monthly payment amount. For Option A, that's 5 years times 12 payments per year, times a monthly payment of $126.44. Which gives us a total payback of 5 * 12 * 126.44 = $7,586.4. Next, calculate the payback for Option B in the same way: 6 years times 12 payments per year, times a monthly payment of $103.30. Which gives us 6 * 12 * 103.30 = $7,437.60.

Then, we subtract the total payback of Option B from that of Option A to find the savings: $7,586.4 - $7,437.60 = $148.8. So, by choosing option B, Sky would save $148.8.

Learn more about Loan Comparison here:

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How to do this? what is the answer??

Answers

Answer:

I think that is the C

Step-by-step explanation:

Answer:

Option B is the correct answer.

Step-by-step explanation:

here, arc RT =162°

as in question given that the value of arc RT is 162° the value of angle RST is 1/2 of 162°.

so, its value must be 81°only.

hopeit helps..

How to work 48÷(4+2×10)-1​

Answers

Answer:

The answer is 1

Step-by-step explanation:

In order to do this equation you use PEMDAS Parentheses, Exponents, Multiplication , Division, Addition and Subtraction

So,

48 / (4+2X10)-1\n  48 /(4+20)-1\n 48/(24)-1\n48/24-1\n2-1\n1

Hoped this helped :D

There are two boxes of Lego pieces. One box has 200 pieces and the other box has 115 pieces. Which of the following best describes how 4 people will divide the Lego pieces as evenly as possible?three people will get 77 pieces
One person will get 76 pieces



Three people will get 78 pieces
One person will get 77 pieces



Three people will get 79 pieces
One person will get 78 pieces



Three people will get 76 pieces
One person will get 75 pieces

Answers

The answer is C: three people will get 79 pieces and one person will get 78 pieces. 
79x3=237
237+78=315
There were 315 total pieces (200+115) so it has to be C. 
Hope this helps!
three people will get 79 pieces  
one person will get 78 pieces
200+115=315
79x3=237+78=315

Amanda has been employed at a company for 37 years. The company is 24 years older than Amanda. The sum of Amanda age and the company’s age is 121 years. How old was Amanda when she started her job?

Answers

Answer:

11 1/2 years old

Step-by-step explanation:

Let Amanda's age be a.

Let the company's age be c.

The company is 24 years older than Amanda. This means that:

c = 24 + a ______(1)

The sum of Amanda's age and the company's age is 121 years. This means that:

c + a = 121 ________(2)

Put (1) in (2):

24 + a + a = 121

2a = 121 - 24

2a = 97

a = 97 / 2 = 48 1/2 years

She has been there for 37 years, therefore, her age when she started working there is:

48 1/2 - 37 = 11 1/2 years old

NOTE: This age doesn't seem right but I worked based on the parameters given.