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Diano4ka-milaya [45]
3 years ago
12

#1) PLEASE HELP WITH QUESTION, MARKING BRAINLIEST.

Mathematics
1 answer:
babymother [125]3 years ago
6 0
I think the answer is       -16y=x^2
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The derivative of y with respect to x, when y = 3e^5x - 2 is:
Ede4ka [16]
Answer: 15e^5x

Step - by - step

y=3e^5x - 2

By the sum rule, the derivative of 3e^5x - 2 with respect to x is d/dx [ 3e^5x ] + d/dx [-2].

d/dx [ 3e^5x ] + d/dx [ -2 ]

Evalute d/dx [ 3e^5x ]

Since 3 is constant with respect to x , the derivative of 3e^5x with respect to x is
3 d/dx [ e^5x ].

3 d/dx [ e^5x ] + d/dx [ -2 ]

Differentiate using the chain rule, which states that d/dx [ f(g(x))] is f' (g(x)) g' (x) where f(x) = e^x and g(x) = 5x.

To apply the Chain Rule, set u as 5x.
3 ( d/du [ e^u] d/dx [5x] ) + d/dx [ -2]

Differentiate using the Exponential rule which states that d/du [ a^u ] is a^u ln(a) where a=e.

3( e^u d/dx[5x] ) + d/dx [ -2 ]
Replace
3(e^5x d/dx [5x] ) + d/dx [ -2 ]
3(e^5x( 5 d/dx [x] )) + d/dx [ -2 ]

Diffentiate using the Power Rule which states that d/dx [x^n] is nx^n-1 where n=1.
3(e^5x(5*1)) + d/dx [-2]
3 ( e^5x * 5 ) + d/dx [-2]

Multiply 5 by 3
15e^5x + d/dx [-2]

Since -2 is constant with respect to x, the derivative of -2 with respect to x is 0.
15e^5x + 0
15e^5x
5 0
11 months ago
Pls help me it's due today​
Dimas [21]

Answer:

r³ + 15r² - 10r - 4

Step-by-step explanation:

First, note you can remove the brackets, in this case they contribute nothing at all.

Then, group the like terms and add them, e.g., we have 3r³ and -2r², they add up to r³.

Finally, order them from greatest power of r to smallest power of r.

That's all!

8 0
3 years ago
Martha wants to put down new carpet in her living room. What type of measurement does she need to find to figure out how much ca
Sergio [31]
She needs to find the AREA
8 0
2 years ago
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Help!?!! Im sooo confused
Gnesinka [82]
If x=3 then the f(x)=4
If x=6 then the f(x)=7
If x=7 then the f(x)=8
6 0
3 years ago
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The sum of 4 times a number and 7 equals 9
Reptile [31]

Answer:

0.5

Step-by-step explanation:

0.5 x 4 = 2, 2 + 7 = 9

4 0
3 years ago
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