Ask question

Ask question

All categories

3 years ago

13

The domain of y = csc x is given by x≠nπ. True or False?

2 answers:

Nuetrik [128]3 years ago

4 0

Answer:

True

Step-by-step explanation:

Given : The domain of $y = csc x$ is given by $x\neq n\pi$

The given statement is true.

Because, $y = csc x$

$y =\frac{1}{sinx}{$

$sinx$ is defined for $\forall x\varepsilon \mathbb{R}$

$csc x$ is defined whenever $sinx\neq 0\rightarrow x\neq n\pi,\forall n\varepsilon \mathbb{Z}$

Hence the domain of y is all $x\varepsilon \mathbb{R}: x\neq 0\rightarrow x\neq n\pi,\forall n\varepsilon \mathbb{Z}$

Therefore, the statement is true as the domain of $y = csc x$ is $x\varepsilon \mathbb{R}: x\neq 0\rightarrow x\neq n\pi,\forall n\varepsilon \mathbb{Z}$

Travka [436]3 years ago

3 0

Answer:

True Ap ex

Step-by-step explanation:

You might be interested in

If you could show as much work as possible that would be amazing!!

Nikitich [7]

Answers:

<u>Reduce:</u>

Here we gave to simplify the expressions:

9) $x^{2}+7x+\frac{12}{x^{2}}+11x+28$

Grouping similar terms:

$(x^{2}+\frac{12}{x^{2}})+(18x+28)$

Applying common factor $x^{2}$ in the first parenthesis and common factor $2$ in the second parenthesis:

$x^{2}(1+\frac{12}{x^{4}})+2(9x+14)$ This is the answer

11) $y^{3}+\frac{27}{y^{2}}+2y-3$

Rearranging the terms:

$(y^{3}+2y)+(\frac{27}{y^{2}}-3)$

Applying common factor $y$ in the first parenthesis and common factor $3$ in the second parenthesis:

$y(y^{2}+2)+3(\frac{9}{y^{2}}-1)$ This is the answer

<u>Multiply:</u>

19) $(\frac{12a^{9}u^{7}}{15 c})(\frac{3c^{4}}{21a^{13 u^{8}}})$

Multiplying both fractions:

$\frac{36 a^{9}u^{7}c^{4}}{315 c a^{13}u^{8}}$

Dividing numerator and denominator by 3 and simplifying:

$\frac{12 c^{3}}{105 c a^{4}u}$ This is the answer

21) $(x-\frac{3}{x}-7)(x^{2}-9x+\frac{35}{x^{2}}-18)$

$(\frac{x^{2}-3-7x}{x})(\frac{x^{4}-9x^{3}+35-18x^{2}}{x^{2}})$

Operating with cross product:

$x^{2} (x^{2}-3-7x) x(x^{4}-9x^{3}+35-18x^{2})$

$x^{9} -9x^{8} -18x^{7}+35x^{5}-7x^{8} +63x^{7}+126x^{6}-245x^{4}-3x^{7}+27x^{6}+54x^{5}-105x^{3}$

Grouping similar terms and factoring:

$x^{9}-2(8x^{8}+21x^{7} )+153x^{6}+89x^{5}-5(49x^{4}+21x^{3})$ This is the answer

<u>Divide:</u>

29) $\frac{\frac{k^{6}}{x^{2}}}{\frac{2k^{4}}{3x^{6}}}$

$\frac{3k^{6}x^{6}}{2x^{2}k^{4}}$

Simplifying:

$\frac{3}{2} k^{2}x^{4}$ This is the answer

33) $\frac{\frac{x+5}{x+1}}{\frac{x^{2}+11x+30}{x^{2}+3x+2}}$

$\frac{(x+5)(x^{2}+3x+2)}{(x+1)(x^{2}+11x+30)}$

Factoring numerator and denominator:

$\frac{(x+5)(x+2)(x+1)}{(x+1)(x+6)(x+5)}$

Simplifying:

$\frac{x+2}{x+6}$ This is the answer

37) $\frac{\frac{x-10}{x+13}}{\frac{x^{3}-1000}{x^{2}+15x+21}}$

$\frac{(x-10)(x^{2}+15x+21)}{(x+13)(x^{3}-1000)}$

Applying the distributive property in numerator and denominator:

$\frac{x^{3}+15x^{2}+21x-10x^{2}-150x-210}{(x+13)(x^{4}-1000x+13x^{3}-13000)}$

Grouping similar terms and factoring by common factor:

$-\frac{5x(x^{2}-129)(x^{2}-42)}{1000x^{3} (x+13)(x-13)}$

Dividing by $5$ in numerator and denominator and simplifying:

$-\frac{(x^{2}-129)(x^{2}-42)}{200x^{2}(x+13)(x-13)}$ This is the answer

3 0

3 years ago

A child walks to the store 1/2 mile and back. what is the displacement?

Crazy boy [7]

The child's starting and finishing location is the same, therefore the displacementnis zero.

8 0

2 years ago

To practice for a competition, Carly swam 0.51 kilometer in the pool each day for 3 weeks. How many meters did Carly swim in tho

erica [24]

Answer:

0.51km × 1000 = 510m

510m × (3×7) = 510m × 21 = 10710m in whole

Step-by-step explanation:

first we transform km to m (multiply by 1000)

then we count how much days are in three weeks ( 3 weeks × 7 days)

then we just multiply the meters per day × the days

99% it's true

7 0

3 years ago

The number of turtles in a pond is four more than twice the number of crocodiles.

cluponka [151]

twice the number is multiplying

so it would be 2c then add 4 more

so 2c+4 is the correct equation.

Answer is B

3 0

2 years ago

Read 2 more answers

HELP PICTURE IS SHOWNN

Gnom [1K]

Angle TVU = 1/2 (120 - 12) = 108/2 = 56°

Therefore, the correct answer is D.

7 0

3 years ago