5x+2y2-y3:x=2 and y=4
5(2)+2(4)2-(4)3
10+8(2) -12
10+16-12
26-12
=14
<span>So you have composed two functions,
</span><span>h(x)=sin(x) and g(x)=arctan(x)</span>
<span>→f=h∘g</span><span>
meaning
</span><span>f(x)=h(g(x))</span>
<span>g:R→<span>[<span>−1;1</span>]</span></span>
<span>h:R→[−<span>π2</span>;<span>π2</span>]</span><span>
And since
</span><span>[−1;1]∈R→f is defined ∀x∈R</span><span>
And since arctan(x) is strictly increasing and continuous in [-1;1] ,
</span><span>h(g(]−∞;∞[))=h([−1;1])=[arctan(−1);arctan(1)]</span><span>
Meaning
</span><span>f:R→[arctan(−1);arctan(1)]=[−<span>π4</span>;<span>π4</span>]</span><span>
so there's your domain</span>
Answer:
x=151
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Answer:
The total distance cover by John is 15 min to reach his office .
Step-by-step explanation:
Given as ;
In the first 10 minutes , the distance cover is 1 miles every minutes
So, for 10 minutes , total distance cover by John = 10 × 1 = 10 miles
Again ,
John cover distance of 0.5 miles for every minutes , he travel for next 10 min
So, for next 10 min, total distance cover by John = 10 × 0.5 = 5 miles
So, The total distance cover by john = 10 miles + 5 miles = 15 miles
Hence The total distance cover by John is 15 min to reach his office . Answer
Answer: She should sell each T-Shirt for at least $4.41
Step-by-step explanation:
First you need to figure out what the total cost of the 200 t shirts was plus shipping. so 200 t shirts for 2.8 would cost $560 + a 5% shipping fee ($28) = 588 if she wants to markup by 150. you would then multiply 588 * 1.5 = $882. This would be the final money she wants to make by the end of her school carnival. Divide 882/200 (amnt of t-shirts) to get $4.41 per shirt
