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gogolik [260]
3 years ago
12

1106.666667 to the nearest whole number

Mathematics
2 answers:
saveliy_v [14]3 years ago
8 0

Answer:

1106.666667 rounds to 1107

Step-by-step explanation:

We look at the whole number, 6

Then look at the tenths place .6

Since 6 is greater than or equal to 5, we round the whole number up one place to 7

1106.666667 rounds to 1107

Anna007 [38]3 years ago
4 0

Answer:

1106.666667 to the nearest whole number

1107

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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
1. 6(4x+1)=78<br>2. 2(x+10)=60<br><br>Solve for x​
postnew [5]

Answer:

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2. x= 20

Step-by-step explanation:

sorry if this is wrong,

7 0
3 years ago
Write an equation that represents the line passing through the point -3, -1 with a slope of 4
Alex17521 [72]

Answer:

Equation that represents the line passing through the point -3, -1 with a slope of 4 is

y= 4x+11

Step-by-step explanation:

Equation of line in point slope form is

y-y_1=m(x-x_1) -------(1)

Here

m=4 \ \ \ and \ \ \ (x_1, y_1) = (-3, -1)

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y+1=4(x+3)\\ y= 4x+11

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3 years ago
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating
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Answer:

V=25088π vu

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, according to the graph 1 the cutoff points of f(y)₁ and f(y)₂ are ±2

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49∫y⁴dy-392∫y²dy+784∫dy =

V=4π( 49\frac{y^{5} }{5}-392\frac{y^{3}}{3}+784y ) evaluated -2≤y≤2, or 2(0≤y≤2), also

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