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Zigmanuir [339]
3 years ago
11

Draw a line plot to correctly display the

Mathematics
1 answer:
Alex3 years ago
7 0

Answer:

Mean: 6.25

Median: 5

Range: 15

Mode: 2, 5, each appeared 3 times

Step-by-step explanation:

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Use a graphing utility to graph the function and visually estimate the limits.
levacccp [35]

The value of the \lim_{x \to 0} f(x) and \lim_{x \to \frac{\pi }{3} } f(x) are 0 and 1.153 .

<h3></h3><h3>What is the limiting value of a function?</h3>

Limiting Value of a Function. The function's limit is the value of the function as its independent variable, such as x approaches a certain value called the limiting value. For simple equations, this is similar to finding out the value of y when x has a unique value.

Given that,

f(x) = 4x cos x

First to calculate the limit value of the given function at x=0.

\lim_{x \to 0} f(x) = \lim_{x \to 0} 4x cosx

                   = 4×0×1                              (∵ cos0 = 1)

\lim_{x \to 0} f(x) = 0

Similarly,

\lim_{x \to \frac{\pi }{3} } f(x) = \lim_{x \to \frac{\pi }{3} } 4x cosx

                     =  4×\frac{\pi }{3}×cos\frac{\pi }{3}

                     =  4×\frac{\pi }{3}×\frac{1}{2}                          (∵cos60° = \frac{1}{2})

\lim_{x \to \frac{\pi }{3} } f(x)  = 1.153

Hence, The value of the \lim_{x \to 0} f(x) and \lim_{x \to \frac{\pi }{3} } f(x) are 0 and 1.153.

To learn more about the limit of the function from the given link:

brainly.com/question/23935467

#SPJ9

8 0
1 year ago
Solve the following:<br> a) 4x-1 / 2= x+7<br> b)<br> 3x + 2 = 2x + 13 /3
11Alexandr11 [23.1K]

Answer:

a) 2.5

b)2.33

Step-by-step explanation:

a)

4x-\frac{1}{2}= x+7

Bring the numerals to the right hand side and the x terms to the left hand side

4x-x=7+\frac{1}{2}

Simplify

3x=\frac{15}{2}

Divide 3 on both sides, to get x

x=\frac{5}{2} =2.5

b)

3x+2=2x+\frac{13}{3}

Bring the numerals to the right hand side and the x terms to the left hand side

3x-2x=\frac{13}{3}-2

Simplify

x=\frac{7}{3} =2.33

5 0
3 years ago
Line m is parallel to line n.If the slope of line m is -2,what is the slope of line n?
Akimi4 [234]

Answer:

-2

Step-by-step explanation:

they are parallel so same slope but different y intercepts

5 0
3 years ago
What is the correct solution for 8x = 56​
Mars2501 [29]

Answer:

7

Step-by-step explanation:

8(7)=56

4 0
2 years ago
Read 2 more answers
Given cos A = .23 find angle A in radians. Round your answer to the nearest hundredth.
irinina [24]
Use a calculator and change DEG (degres) to RAD (radians).
8 0
3 years ago
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