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salantis [7]
3 years ago
12

Evaluate the function. f(x)=x^3+x; find f (2)​

Mathematics
1 answer:
geniusboy [140]3 years ago
3 0

Answer:

........................................

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How do I evaluate this integral?<img src="https://tex.z-dn.net/?f=%20%5Cint%5Climits%20%7B%20%5Cfrac%7Bx%7D%7Bx%5E4%2B1%7D%20%7D
inessss [21]
One thing you could try is to set x=\sqrt y. This makes y=x^2, so that \mathrm dy=2x\,\mathrm dx, and y^2=x^4. So the integral is

\displaystyle\int\frac x{x^4+1}\,\mathrm dx=\frac12\int\frac{\mathrm dy}{y^2+1}=\frac12\arctan y+C=\frac12\arctan(x^2)+C

A "trickier" way to do it is to write

x^4+1=(x^2+\sqrt2x+1)(x^2-\sqrt2x+1)

so you could decompose the integrand into partial fractions. But that's more work than needed.
4 0
4 years ago
Select the answer that best explains why although Jack and Jill are both 10, Jack is 58 inches tall and Jill is only 43 inches t
NeTakaya
B. Genetic Diversity
7 0
4 years ago
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Please help me I am horrible at calculations<br> Solve for x when y=-0.27<br><br> 5y+8(x−3y)=7x−12
expeople1 [14]

Answer:

X = -12.54 (I am a Math Class Topper in both 6th Grade an 7th Grade)

Step-by-step explanation:

5 x .27 = 1.35

8x - (3 x .27) = .81

1.35 + 8x - .81 = 7x - 12

        - 7x           - 7x

----------------------------------

1.35 + X - .81 = -12

              + .81 +.81

---------------------------

1.35 + X = -11.19

-1.35         -1.35

-----------------------

X = -12.54

6 0
4 years ago
Every thing is pretty self explanatory. for 15 please have complete sentence please?? thanks!
lukranit [14]
9. Let p = Pico

3/4p = 18

10. Let h = height with pedestal and foundation

151 + h = 305

11. Let m = Meredith

19 = 3 + 2m

12. Let p = number of pizzas, $5 off is - 5 from regular price

3p - 5 = 21.75

13. Option C.

14. Option A. 

15. Let w = last week's miles

w = \frac{1}{2}(12) + 3

The word "half" tells you to use 1/2 in the equation. The phrase "three more than" tells you to use + 3. We multiply 1/2 by 12 (or divide 12 by 2; it's the same thing) because we are taking half of the miles Carmen ran "this week" as stated in the problem. 



7 0
3 years ago
I WILL GIVE BRAINLIEST +98 points PLEASE HELP DON'T TYPE THEN LEAVE NEED HELP ASAP
Kitty [74]

Assume the mattress have no width, only length.

By Pythagoras' Theorem, √(72^2 + 80^2) = 107.6 inches.

7 0
4 years ago
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