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jekas [21]
3 years ago
5

Which of the following trigonometric fuuctions has a range of apply all real numbers? Select all that apply.

Mathematics
1 answer:
Kryger [21]3 years ago
6 0

Answer:

y=tan x and y=cotx

Step-by-step explanation:

We are given functions of all trignometric ratios and asked to find out which has range of all real numbers.  Let us discuss one by one

1. y =sinx:  False because -1≤sinx≤1 always

2. y=cosx:False because -1≤cosx≤1 always

3. y = tanx:  True because tanx can take any value

4. y=cot x: True because cots x can take any value

5. y = csc x:   False because this range does not lie between -1 and 1

6. y=sec xFalse because this range does not lie between -1 and 1

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7 0
3 years ago
which answer describes the graph of the function f(x)=-2*3^√x? just incase this isn't clear the three is above the square root s
andrey2020 [161]
The function has a domain that goes from [0,∞]

And a range that goes from [-∞,0]

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8 0
3 years ago
Evaluate the definite integral. <br> 1 x4(1 + 2x5)5 dx.
Nata [24]

Answer:

Step-by-step explanation:

Given the definite integral \int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx, we to evaluate it. Using integration by substitution method.

Let u = 1-2x⁵ ...1

du/dx = -10x⁴

dx = du/-10x⁴.... 2

Substitute equation 1 and 2 into the integral function and evaluate the resulting integral as shown;

= \int\limits {\dfrac{x^4}{u^5} } \, \dfrac{du}{-10x^4}

= \dfrac{-1}{10} \int\limits {\dfrac{du}{u^5} }  \\\\= \dfrac{-1}{10} \int\limits {{u^{-5}du }  \\= \dfrac{-1}{10} [{\frac{u^{-5+1}}{-5+1}]  \\\\= \dfrac{-1}{10} ({\frac{u^{-4}}{-4})\\\\

= \dfrac{u^{-4}}{40} \\\\\\= \dfrac{1}{40u^4} +C

substitute u = 1-2x⁵ into the result

= \dfrac{1}{40(1-2x^5)^4} +C

Hence\int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx = \dfrac{1}{40(1-2x^5)^4} +C

5 0
3 years ago
Find the remainder when f(x)=x3−4x2−6x−3 f ( x ) = x 3 − 4 x 2 − 6 x − 3 is divided by x+1
loris [4]

Answer:

The remainder is -2.

Step-by-step explanation:

According to the Polynomial Remainder Theorem, if we divide a polynomial P(x) by a binomial (<em>x</em> - <em>a</em>), then the remainder of the operation will be given by P(a).

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We can rewrite our divisor as (<em>x</em> - (-1)). Hence, <em>a</em> = -1.

Then by the PRT, the remainder will be:

\displaystyle\begin{aligned}  R &= P(-1)\\ &=(-1)^3-4(-1)^2-6(-1)-3 \\ &= (-1)-4(1)+(6)-3 \\ &= -2 \end{aligned}

The remainder is -2.

5 0
3 years ago
Count by ones from 368 to 500. Change for a larger unit when necessary.
stepan [7]
We can figure out how many numbers there are from 368 to 500 by subtracting.

500 - 368 = 132

Now, we need to get it in word form. This can be done by looking at the place value of each number.. So your answer would be:

1 hundred, 3 tens, and 2 ones.
6 0
4 years ago
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