3 years ago

State the domain and range for the function. f(x)=3cot(2x)

Mathematics

1 answer:

kozerog [31]3 years ago

7 0

Please see attached image for the answer
Range: all real numbers

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there are 6 times as many dogs as cAts. if tje total number of dogs and cats is 21 how many dogs are tjrre

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There are 18 dogs. You do 21/7.

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Which of the following is 2/11 closest to?<br> 0.<br> 1/2.<br> 1.

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2/11 is 0.181818 as a decimal so closest to 0.

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2 years ago

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Write 14/√2 + √50 in the form b√2 where b is an integer.

kifflom [539]

Answer:

$12 \sqrt{2}$

Step-by-step explanation:

Taking the terms one at a time,

$\frac{14}{ \sqrt{2} } \\ \frac{14 * \sqrt{2} }{ \sqrt{2} * \sqrt{2} } \\ \frac{14 \sqrt{2} }{2} \\ 7 \sqrt{2}$

$\sqrt{50} \\ \sqrt{25 * 2} \\ \sqrt{25}* \sqrt{2} \\ 5 * \sqrt{2} \\ 5 \sqrt{2}$

Adding the terms, you have;

$7 \sqrt{2} + 5 \sqrt{2} =(7 + 5) \sqrt{2} = 12 \sqrt{2}$

Hope it helps!

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Which of the following is not required by lenders and investors?

ludmilkaskok [199]

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3 years ago

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A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric f

likoan [24]

Step-by-step explanation:

Let x be the length and y be the width of the rectangular plot.

The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,

x+2y = 1500

x = 1500 - 2y ....(1)

We know that the area of a rectangular plot is given by :

A = xy ....(2)

Put the value of x from equation (1) in (2)

$A=(1500-2y)y\\\\A=1500y-2y^2$ .....(3)

For largest area, differentiate above area equation wrt y.

$\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375$

Put the value of y in equation (1).

x = 1500-2(375)

= 750 m

Put the value of y in equation (3).

$A =1500(375)-2(375)^2\\A=281250\ m^2$

Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.

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3 years ago