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velikii [3]
3 years ago
7

A diver needs to descend to a depth of 100 feet. She wants to do it in 5 equal descents. How far should she travel in each desce

nt?
Mathematics
1 answer:
Fofino [41]3 years ago
3 0

Answer:

20 feet

Step-by-step explanation:

5 descent =>100 feet

1 descent => 100÷5

= 20 descent

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Use the fundamental theorem of calculus to find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x
BaLLatris [955]

Answer:

The area of the region is 25,351 units^2.

Step-by-step explanation:

The Fundamental Theorem of Calculus:<em> if </em>f<em> is a continuous function on </em>[a,b]<em>, then</em>

                                   \int_{a}^{b} f(x)dx = F(b) - F(a) = F(x) |  {_a^b}

where F is an antiderivative of f.

A function F is an antiderivative of the function f if

                                                    F^{'}(x)=f(x)

The theorem relates differential and integral calculus, and tells us how we can find the area under a curve using antidifferentiation.

To find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x + 15 and the x-axis on the interval [-6, 6] you must:

Apply the Fundamental Theorem of Calculus

\int _{-6}^6(x^5+8x^4+2x^2+5x+15)dx

\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\\\\int _{-6}^6x^5dx+\int _{-6}^68x^4dx+\int _{-6}^62x^2dx+\int _{-6}^65xdx+\int _{-6}^615dx

\int _{-6}^6x^5dx=0\\\\\int _{-6}^68x^4dx=\frac{124416}{5}\\\\\int _{-6}^62x^2dx=288\\\\\int _{-6}^65xdx=0\\\\\int _{-6}^615dx=180\\\\0+\frac{124416}{5}+288+0+18\\\\\frac{126756}{5}\approx 25351.2

3 0
3 years ago
2+2 plz help i think it's 22
Kryger [21]

Answer: 4!!!!!!!!!!! Or is it 9?

Step-by-step explanation:

6 0
3 years ago
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A robot can complete up to 8 tasks in 5/6 hour. each task takes the same amount of time.
storchak [24]

\bf \begin{array}{ccll} tasks&hours\\ \cline{1-2}&\\ 8&\frac{5}{6}\\\\ 1&h \end{array}\implies \cfrac{8}{1}=\cfrac{~~\frac{5}{6}~~}{h}\implies 8=\cfrac{~~\frac{5}{6}~~}{\frac{h}{1}}\implies 8=\cfrac{5}{6}\cdot \cfrac{1}{h} \\\\\\ 8=\cfrac{5}{6h}\implies 48h=5\implies h=\cfrac{5}{48}\\\\[-0.35em] \rule{31em}{0.25pt}


\bf \begin{array}{ccll} tasks&hours\\ \cline{1-2}&\\ 8&\frac{5}{6}\\\\ t&1 \end{array}\implies \cfrac{8}{t}=\cfrac{~~\frac{5}{6}~~}{1}\implies \cfrac{8}{t}=\cfrac{5}{6}\implies 48=5t \\\\\\ \cfrac{48}{5}=t\implies 9\frac{3}{5}=t

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3 years ago
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$82;35% discount answer
Musya8 [376]
82 times 0.35
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3 years ago
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SOMEONE HELP ME PLEASE
Novay_Z [31]
Y - 5 = -1/2(x-1)

hope this helps!
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3 years ago
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