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vodka [1.7K]
4 years ago
6

Find

="absmiddle" class="latex-formula"> if y=\int\limits^a_b {e^{t}tan } \,t dt, where a=x^3, b=3x

Mathematics
2 answers:
OLga [1]4 years ago
6 0

Step-by-step explanation:

Use the second fundamental theorem of calculus.

If y = ∫ₐᵇ f(t) dt, then dy/dx = f(b) db/dx − f(a) da/dx

dy/dx = e^(x³) tan (x³) (3x²) − e^(3x) tan (3x) (3)

dy/dx = 3x² e^(x³) tan (x³) − 3 e^(3x) tan (3x)

vitfil [10]4 years ago
3 0

Answer:

3[x²(e^x³)(tan(x³) - (e^3x)tan(3x)]

Step-by-step explanation:

Derivative of x³ = 3x²

Derivative of 3x = 3

3x²(e^x³)(tan(x³) - 3(e^3x)tan(3x)

3[x²(e^x³)(tan(x³) - (e^3x)tan(3x)]

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Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, on
boyakko [2]

Answer:

idk what exactly this is asking buut here is my best answer

Step-by-step explanation:

1+1=2(3+5=-1)

since 6 is the possible outcoe .idk what its exacly askign so if u can help with tht that wuld be grest .

Need 1 more brainliest

 

7 0
3 years ago
Read 2 more answers
HELP ME ASP<br> Convert 14 ft to yd.<br><br> 168 yds<br> 4 2/3 yds<br> 1 1/7 yd<br> 42 yds
netineya [11]

Answer:

4 2/3 yds

Step-by-step explanation:

1/3 yds in a foot

1/3 x 14 = 4 2/3

3 0
3 years ago
Read 2 more answers
If f(x) = -(1/x^3) and x takes on successive values from -10 to 0.1 ,
prohojiy [21]
Alright, this one is a little interesting... Let's perform some tests to figure out what is happening:
f(-10) = -(1/(-10)^3) = -(1/-1000) = 1/1000  (positive)
f(-5) = -(1/(-5)^3) = -(1/-125) = 1/125 (positive, bigger than the last one)
f(-1) = -(1/(-1)^3) = -(1/-1) = 1 (positive, bigger than the last one)
f(-0.1) = -(1/(-0.1)^3) = -(1/-0.001) = 1/0.001 = 1000 (positive, bigger than the last one)
f(0) = -(1/0^3) = undefined!
f(0.1) = -(1/(0.1)^3) = -(1/0.001) = -1/0.001 = -1000 (negative)
f(1) = -(1/1^3) = -(1/1) = -1 (negative, but bigger than last one)

It's a little confusing with the undefined part at x = 0. What I can say is this, it is increasing from -10 up to 0, something weird happens at 0 and it resets, and starts increasing from 0 up to 0.1. 

I guess A would be the best answer?

3 0
3 years ago
Solve 3/5x = 15
Pavel [41]

Answer:

25

Step-by-step explanation:

Do 5 X times 15 = 75 x

Do 75x / 3 = 25

4 0
3 years ago
The product of a number and -7/10 is 1/2 what is the number 1. 7/20 2. -5/7 3. -7/20 4. 5/7
matrenka [14]

Answer:

2)  -5/7

Step-by-step explanation:

\frac{-7n}{10} = \frac{1}{2}

cross-multiply to get:

10 = -14n

-10/14 = n

n = -5/7 (simplified)

3 0
2 years ago
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