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Thepotemich [5.8K]
2 years ago
12

3+7+11+15+19+23+271.t1=s1=express t1 in terms of s1​

Mathematics
1 answer:
icang [17]2 years ago
8 0
So it would be 3s + 7s + 11s + 15s + 19s + 23s + 27s. Hope this helps
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Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x)= 6x^1/3 + 3x^4/3. You must justify
irina [24]

Answer:

x-coordinates of relative extrema = \frac{-1}{2}

x-coordinates of the inflexion points are 0, 1

Step-by-step explanation:

f(x)=6x^{\frac{1}{3}}+3x^{\frac{4}{3}}

Differentiate with respect to x

f'(x)=6\left ( \frac{1}{3} \right )x^{\frac{-2}{3}}+3\left ( \frac{4}{3} \right )x^{\frac{1}{3}}=\frac{2}{x^{\frac{2}{3}}}+4x^{\frac{1}{3}}

f'(x)=0\Rightarrow \frac{2}{x^{\frac{2}{3}}}+4x^{\frac{1}{3}}=0\Rightarrow x=\frac{-1}{2}

Differentiate f'(x) with respect to x

f''(x)=2\left ( \frac{-2}{3} \right )x^{\frac{-5}{3}}+\frac{4}{3}x^{\frac{-2}{3}}=\frac{-4x^{\frac{2}{3}}+4x^{\frac{5}{3}}}{3x^{\frac{2}{3}}x^{\frac{5}{3}}}\\f''(x)=0\Rightarrow \frac{-4x^{\frac{2}{3}}+4x^{\frac{5}{3}}}{3x^{\frac{2}{3}}x^{\frac{5}{3}}}=0\Rightarrow x=1

At x = \frac{-1}{2},

f''\left ( \frac{-1}{2} \right )=\frac{4\left ( -1+4\left ( \frac{-1}{2} \right ) \right )}{3\left ( \frac{-1}{2} \right )^{\frac{5}{3}}}>0

We know that if f''(a)>0 then x = a is a point of minima.

So, x=\frac{-1}{2} is a point of minima.

For inflexion points:

Inflexion points are the points at which f''(x) = 0 or f''(x) is not defined.

So, x-coordinates of the inflexion points are 0, 1

7 0
3 years ago
2x-3y=3 5x+2y=17<br> how do i solve this?
Alina [70]
<span> 2(2x-3y=3)..................4x-6y=6..........equation 1
 3(5x+2y=17) ...........15x+6y=51</span>........equation 2

adding equation 1 and equation 2;
19x=57
   x=3

2x-3y=3
(2*3)-3y=3
6-3=3y
y=1

6 0
3 years ago
!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?
Ivanshal [37]

Answer:

a = a

b = b

c = c

Step-by-step explanation:

Formula: a^2+b^2=c^2

C is always the largest number

<em><u>a times a + b times b = c times c</u></em>

4 0
3 years ago
Jack bought 8 tokens for $4.40 at this rate how many tokens can she buy with $6.05
Ipatiy [6.2K]

Answer:

11

Step-by-step explanation:

First, find how much a token costs.

4.40 ÷ 8 = .55

Then divide 6.05 by .55 to get 11.

3 0
3 years ago
need answers to this asap. I am a multiple of 70. I'm between 300 and 500. I'm 20 more than a 100. who am I
Jlenok [28]
Im not 100% sure but I would say 420
5 0
3 years ago
Read 2 more answers
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