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Stells [14]
3 years ago
6

I NEEDDDD HELPPPP ITS URGENTTTT!!!!

Mathematics
1 answer:
mina [271]3 years ago
3 0
Center (-3,-8)
Radius 8
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Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π
lorasvet [3.4K]

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The <em>instantaneous</em> rate of change at a given value of x can be found by concept of derivative, which is described below:

g(x) =  \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}

Where h is the <em>difference</em> rate.

In this question we must find an expression for the <em>instantaneous</em> rate of change of g if f(x) = \sin x and evaluate the resulting expression for x = \frac{\pi}{3}. Then, we have the following procedure below:

g(x) =  \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin h}{h}\cdot  \lim_{h \to 0} \cos x

g(x) = \cos x

Now we evaluate g(x) for x = \frac{\pi}{3}:

g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>. \blacksquare

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

4 0
2 years ago
Help on number 6 i don't understand how to do it and i got corrections so i need help to do them.
Mademuasel [1]
The answer #6 is j. 100. He uses the treadmill for 40% so that means 60% of his exercise is not on the treadmill. 

40%= 40 mins 
60%= 60 mins
 total: 100%= 100 mins.
Hope this helps!
8 0
3 years ago
Read 2 more answers
PLEASE ANSWER ASAP! SHOW WORK PLEASE (IF POSSIBLE)
Annette [7]
So first you would need to time 5 and 4.33 then divide by 2 then times by 3 cause there are 3 triangles. it would equal C.
7 0
3 years ago
Pls help me ASAP!! :)
Oksi-84 [34.3K]
The answer to the area of the triangle is 21 because the base is equal to 6 and the height is 7 so you multiply 6 times 7 then divided by 2 because a triangle is 1 half of a square
6 0
3 years ago
Is the given value a solution to the equation?
irinina [24]
Yes.
9m-3m=1+19
6m=20
m=20/6=10/3
6 0
3 years ago
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