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Ludmilka [50]
4 years ago
9

Which of the following represents dy/dx when y = e-2x sec (3x)?

Mathematics
1 answer:
Sindrei [870]4 years ago
6 0
Using the product rule, which states that (uv)' = u'v + uv':
If y = (e^-2x)(sec3x)
y' = (e^-2x)'(sec3x) + (e^-2x)(sec3x)'
y' = -2(e^-2x)(sec3x) + (e^-2x)(3 sec3x tan3x)
y' = 3(e^-2x)(sec3x tan3x) -2e^-2x (sec3x)

This matches choice B.
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Find y, if x = 60.<br> A) 30° <br> B) 35° <br> C) 40° <br> D) 45°
MArishka [77]
The answer is 30°.
Rule: All three sides must add up to 180
°. 
Since A=60 and the side vertical to the angle which is 90° then side C would be C=90° and that adds up to 150°, so you can conclude that angle B is 30°.
I hope I helped!
7 0
3 years ago
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The Glen Wastewater Treatment plant is going to increase in capacity from 750,000 gallons of wastewater treated per day to 3 mil
saveliy_v [14]
It would be a 400% increase
5 0
3 years ago
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What is the product?
vagabundo [1.1K]

Answer:

So option B is the correct answer .

Step-by-step explanation:

Since it is the multiplication of 1 X 3 matrix to 3 X 3 order matrix,

so the resultant product should be 1 X 3 because when we multiply two matrices it is the condition that if A is of order p X q and B is of order q X r,

the product matrix (suppose C ) will be of order p X r.

so the product will be

= [-1*3+2*2+4*0   -1*6+2*4+4*6   -1*1+2*0+4*2]

= [ 1      26     7] .

8 0
3 years ago
Sum of 7 7/8 + 2 11/12
dlinn [17]
Solutions 

1) <span>Add the whole numbers first ( 7 and 2 )

</span><span>9+<span>7/8</span>+<span>11/12

2) </span></span>Find the Least Common Denominator (LCD) of 

<span><span>7 / 8</span>,<span>11 / 12
</span></span>
Start by Listing Multiples

List out all multiples of each denominator, and find the first common one.

8 : <span><span>8,16,24</span>
</span>
12 : <span>12,24
</span>
Therefore, the LCD is <span>24 

</span>Method 2: By Prime Factors

List all prime factors of each denominator, and find the union of these primes.

8 : <span>2,2,2
</span>
12 : <span>2,2,3
</span>
Therefore, the LCD is <span>2×2×2×3=24

3) </span>Make the denominators the same as the LCD

<span>9+<span><span>7×3 / </span><span>8×3</span></span>+<span><span>11×2 / </span><span>12×2

</span></span></span>4) Simplify. Denominators are now the same

<span>9+<span>21 / 24</span>+<span>22 / 24

5) J</span></span>oin the denominators

<span>9+<span><span>21+22 / </span>24</span></span>
6) Simplify

<span>9+<span>43 / 24

7) </span></span>Convert 43 / 24 <span>to mixed fraction

</span><span>9+1 <span>19 / 24

8) </span></span>Simplify

<span><span>10 <span>19 / 24</span></span></span>
4 0
4 years ago
KM and NP are parallel lines. Which angles are corresponding angles?
Charra [1.4K]

Answer:

nol and klj

Step-by-step explanation:

since they are parallel lines you would look for which angles correspond to the sample place on the intersection

5 0
3 years ago
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