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andre [41]
3 years ago
13

Find the derivative of respect to x.

" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0

Answer:

Dx [sin3x] = 3cos3x

General Formulas and Concepts:

<u>Calculus</u>

  • Chain Rule: \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)
  • Derivative of trig functions
  • Basic Power Rule:  f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

sin3x

<u>Step 2: Find derivative</u>

  1. Apply operative:                    Dx [sin3x]
  2. Chain Rule:                             cos3x · 3
  3. Simplify:                                  3cos3x
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Twice a number decreased by three
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Step-by-step explanation:

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What is the value of the expression? - 16+ 12 <br>A. -28 <br>B. -4 <br>C. 4<br>D. 28​
mixer [17]

Answer:

B.  -4

Step-by-step explanation:

-16 + 12 = -4

7 0
3 years ago
Which system of linear inequalities has the point (3,2) in its solution set?
chubhunter [2.5K]
None of the answers in the picture are the correct answer.
y > -2
y >= 2/3x -4
would be the correct answer here.
The reasoning is both the equations should have (3,2) as a possible solution.
For the first inequality y has to greater than -2 because the given point has 2 as the y coordinate.
also putting (3,2) in y = 2/3x - 4, we observe that the equation becomes 2 = -2. So there must be a >= sign in the second inequality.
8 0
3 years ago
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What is the surface area of this prism? A. 120 cm2 B. 122 cm2 C. 240 cm2 D. 184 cm2
Aneli [31]
Here is how to get the Surface Area of a triangular prism.
First you must find their areas first then multiply it by 2 (because it has 2 faces) except for the base, since it has a triangular base.
A = bxh/2                           A = 15 m x 30 m         A = 30 m x 18 m
   = (18 m x 12 m )/2             =  450 m^2                  = 540 m^2 
   = 216 m ^2/2
   = 108 m^2
Add all the faces:
SA = 2 (108 m^2) + 2 (540 m^2 ) + <span> 450 m^2     
     = 216 m^2 +1080 m^2 + </span><span>450 m^2  
     = 1,746 m^2
The answer is not found in your choices. The attached picture is also showing m (meter) as the unit used not cm.....so I guess you got the wrong choices.
</span>
5 0
3 years ago
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