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Lynna [10]
3 years ago
6

Name the marked angle in 2 different ways.

Mathematics
1 answer:
tekilochka [14]3 years ago
7 0

Answer:

∠GIH or ∠HIG

Explanation:

Just make sure the vertex of the angle is the middle letter. In this case, it is I.

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Describe how you would find the maximum and minimum values for tangent of the typical angles used on the unit circle. What are t
Ipatiy [6.2K]

<span>3down votefavorite1Find minimum and maximum value of function <span>f(x,y)=3x+4y+|x−y|</span> on circle<span>{(x,y):<span>x2</span>+<span>y2</span>=1}</span>I used polar coordinate system. So I have <span>x=cost</span> and <span>y=sint</span> where <span>t∈[0,2π)</span>.Then i exploited definition of absolute function and i got:<span>h(t)=<span>{<span><span>4cost+3sintt∈[0,<span>π4</span>]∪[<span>54</span>π,2π)</span><span>2cost+5sintt∈(<span>π4</span>,<span>54</span>π)</span></span></span></span>Hence i received following critical points (earlier i computed first derivative):<span>cost=±<span>45</span>∨cost=±<span>2<span>√29</span></span></span>Then i computed second derivative and after all i received that in <span>(<span>2<span>√29</span></span>,<span>5<span>√29</span></span>)</span> is maximum equal <span>√29</span> and in <span>(−<span>45</span>,−<span>35</span>)</span> is minimum equal <span>−<span>235</span></span><span>
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6 0
3 years ago
Determine the product, h (x), of the linear and quadratic factors.
Wewaii [24]

h(x) =8x^3-19x^2+14x-3

Step-by-step explanation:

Given functions are:

f(x) = 8x-3\\g(x) = (x-1)^2

h(x)  is the product of g(x) and f(x)

h(x) = f(x) * g(x)\\= (8x-3)(x-1)^2\\= (8x-3)(x^2-2x+1)\\= 8x(x^2-2x+1)-3(x^2-2x+1)\\= 8x^3-16x^2+8x-3x^2+6x-3

Combining like terms

=8x^3-16x^2-3x^2+8x+6x-3\\=8x^3-19x^2+14x-3

Hence,

h(x) =8x^3-19x^2+14x-3

Keywords: Functions, product

Learn more about functions at:

  • brainly.com/question/8054589
  • brainly.com/question/7932185

#LearnwithBrainly

8 0
3 years ago
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