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4 years ago

In two or more complete sentences describe how to determine if the function, f(x) = 2cos(x) is even by looking at a graph.

Mathematics

1 answer:

Tcecarenko [31]4 years ago

8 0

Answer:

<em>Observe the attached image</em>

Step-by-step explanation:

A function f(x) is even if

$f(-x) = f(x)$

This means that an input value x and -x have the same output value y

Therefore, check the graph and if it has equal values of y for the values of x and -x, then it is an even function.

Then the graph of $y = f (x)$ will have symmetry with respect to the vertical axis

Observe in the attached image the graph of $f (x) = 2cos (x)$

It always has the same values of y for x and -x. Then $f (x) = 2cos (x)$ It's an even function.

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Given vectors A (2,-1,5), B (4,3,-2) & C (5,4,0), find:?

MrRissso [65]

A) 4a - 3b + 2c

4(2, -1, 5) - 3(4, 3 , -2) + 2(5, 4, 0) = (8, -4, 20) - (12, 9, - 6) + (10, 8, 0) =

= (8 - 12 + 10 , -4 - 9 + 8 , 20 + 6 + 0) = (6, - 5, 26)

Answer: (6, - 5, 26)

b) magnitude of vector b

$\sqrt{4^2+3^2+(-2)^2} = \sqrt{16+9+4} = \sqrt{29} ~ 5.4$

c) vector of length 7 parallel to vector c

=> m(5,4,0) = (5m,4m,0)

=> $\sqrt{(5m)^2+(4m)^2+0}= \sqrt{25m^2+16m^2}= \sqrt{41m^2}=m \sqrt{41}=7$

=> m = 7 / √41 ≈ 1.093

=> 1.093 (5, 4, 0) = (5.465 , 4.372, 0)

Answer: (5.465 , 4.372 , 0)

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3 years ago

Find the solution set of x: x^2-7x=10. I NEED HELP ASAP! PLS

weeeeeb [17]

Find the solution set of x: x^2-7x= - 10.

Answer:

(x − 2)(x −5)

Step-by-step explanation:

x² - 7x = - 10

x² - 7x + 10 = 0

Find two numbers that when added together make −7 , and when multiplied make - 10.

The numbers − 2 and −5 fit the criteria.

x2− 7x + 10 = (x − 2)(x −5)

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3 years ago

A+bi+c+di=a+c+bi+di what property of addition is being shown

Cloud [144]

Answer:

<em>Commutative property</em>

Step-by-step explanation:

a + bi + c + di = a + c + bi + di

It's the Commutative Property/

The Commutative Property say we can swap numbers over and still get the same answer when we add:

a + b = b + a

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4 years ago

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Andrews [41]

Answer:

An integer is a whole, and it completes itself

Step-by-step explanation:

Even Negatives can be Integers, and Zero is the only number that is neither positive nor negative. Rational can be represented by integers, so Answer A. is true

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3 years ago

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Ivenika [448]

The answer is 170,000

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4 years ago

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