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3 years ago

Prove the following please help

Mathematics

1 answer:

MaRussiya [10]3 years ago

4 0

Step-by-step explanation:

5. I assume you mean this:

(cos²x / sin x) + sin x

Add using common denominator.

(cos²x / sin x) + (sin²x / sin x)

(cos²x + sin²x) / sin x

Use Pythagorean identity.

1 / sin x

csc x

6. tan²x cos²x

Write tangent in terms of sine and cosine.

(sin²x / cos²x) cos²x

Simplify.

sin²x

Use Pythagorean identity.

1 − cos²x

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12 cubic yards of mulch is 3/4 of a truckload. how much is a full load

kirill [66]

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3 years ago

Find the points on the curve y = 2x3 + 3x2 − 12x + 1 where the tangent line is horizontal. (x, y) = (smaller x-value) (x, y) = (

vesna_86 [32]

Thinking about the graph of y, the rate of change is zero whenever there is an extremum.

First, differentiate y.

$y'=6x^2+6x-12$

Next, find the zeros of y' by factoring.

$6(x^2+x-2)=0 \\ x = -2, x = 1$

Now, we substitute these x-values into the original equation to find the coordinates.

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3 years ago

30 points if you answer this question and please show work !!

worty [1.4K]

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1. $f(x)g(x) = f(x)\cdot g(x)$ - function multiplication:

$f(x)g(x)=(2x-3)\cdot(3x+8)=2x\cdot3x+2x\cdot8-3\cdot3x-3\cdot8=\\\\=6x^2+16x-9x-24=\boxed{6x^2+7x-24}$

2. $f(x)g(x)=f(x)\circ g(x)$ - function composition:

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2 years ago

Given h (x) = -x-4,solve for x when h (x) =9

Leona [35]

Answer:

–13

Step-by-step explanation:

h(x) = –x –4

h(x) = 9

–x –4 = 9

–x = 9 + 4

–x = 13

x = –13

<em><u>pick me as the brainliest. thx</u></em>

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2 years ago

What are the real and imaginary parts of z ?<br><br> z = 32 + 41.9i

goblinko [34]

Answer:

The real part is 32, while the imaginary part is 41.9

Step-by-step explanation:

z is a complex number. A complex number is made up of real and imaginary parts.

The real part is the number that stands alone, while the imaginary part is the number that is directly beside the i.

i is actually equal to $\sqrt{-1}$ . There is no solution for that.

Therefore, for the given expression, the real part is 32, while the imaginary part is 41.9.

Note: the imaginary part does not contain i.

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3 years ago