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3 years ago

Lim -> 0 sin(2x) /(x*cos(x) ) help

1 answer:

4 0

Sin (2x) can be written like:sin (2x) = 2sin(x)cos(x)
substituting this expresion in the original one:sin(2x) /(x*cos(x) =2sin(x)cos(x)/x*cos(x)=2sinx/x
taking limits, and noticing that lim as x->0 of sinx/x=1:lim 2sinx/x=2*1=2x->0

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A teacher gave his students the four graphs below. Which graph represents a geometric sequence?

VARVARA [1.3K]

The answer is

graph A

Hope this helps :)

3 0

3 years ago

Read 2 more answers

Evaluate the function f(x) = 3x2− 2x for x= 4.

kykrilka [37]

Answer:

Step-by-step explanation:

f(4) = 3(4²) - 2(4)

= 3(16) - 8

= 48 - 8

= 40

when x=4, f(x) = 40

6 0

3 years ago

Fencing a horse corral carol has 2400 ft of fencing to fence in a rectangular horse corral. (a) find a function that models the

Vanyuwa [196]

Here it is given that the width is x ft and total length of the fence is 2400 ft .

Let the length be y ft

So we have

$2(x+y) =2400
\\
x+y=1200
\\
y = 1200 -x$

Let A represents area, and area is the product of length and width .

So we get

$A = x y$

Substituting the value of y, we will get

$A = x (1200-x)= 1200x -x^2$

Second part

The area is maximum at the vertex, and vertex is

$x = - \frac{1200}{2(-1)} = 600 feet$

And

$y=1200-x = 1200-600 = 600 feet$

And that's the required dimensions .

8 0

3 years ago

The drama club is selling T-shirts and caps to raise money for a spring trip. The caps sell for $5.00 each, and the T-shirts sel

Zinaida [17]

The required inequality is $5x+10y\geq 500$

<em><u>Solution:</u></em>

Given that,

Cost of 1 cap = $ 5

Cost of 1 t-shirt = $ 10

Let "x" be the number of caps sold

Let "y" be the number of t-shirts sold

The drama club needs to raise at least $500.00 for the trip

Based on this information, we can frame a inequality as:

number of caps sold x cost of 1 cap + number of shirts sold x cost of 1 shirt $\geq$ 500

Which means,

$x \times 5 + y \times 10\geq 500\\\\5x + 10y\geq 500$

Here we used "greater than or equal to" symbol , because club needs to raise at least $ 500

They can raise 500 or more than $ 500 also

Thus the required inequality is $5x+10y\geq 500$

8 0

3 years ago

Phoebe usually drives to work each day on a 12-mile road that is currently closed for construction. While the road is closed she

Mumz [18]

The total distance phoebe has to drive each day (round trip) while her usual route is closed is 42 miles

<h3>What is a Pythagoras theorem?</h3>

The square of the longest side is equal to the square of the sum of the othersides.

Before we can calculate the total distance, we will need to get the hypotenuse on both sides using the Pythagoras theorem as shown:

H^2= 12^2 + 9^2

H² = 144 + 81

H² = 225

H = 15

For the other hypotenuse

h² = 12² + 5²

h² = 144 + 25

h² = 169

h = 13 mils

The total distance = 5 + 15 + 9 + 13

The total distance = 42 miles

The total distance phoebe has to drive each day (round trip) while her usual route is closed is 42 miles

Learn more on Pythagoras theorem here: brainly.com/question/12306722

3 0

2 years ago