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vodka [1.7K]
3 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]3 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]3 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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Choose the correct slope of the line that passes through the points (1, −3) and (3, −5). I NEED HELP ASAP
Degger [83]
The slope would be:
-5--3/3-1
-2/2
-1

Slope = -1
6 0
3 years ago
MZJ and m M are base angles of isosceles trapezoid JKLM. If mZJ = 18x + 8 and m_M=11x + 15 find m2K.
maxonik [38]

The question is incomplete. Here is the complete question.

m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.

If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.

A. 1

B. 154

C. 77

D. 26

Answer: B. m∠K = 154

Step-by-step explanation: <u>Isosceles</u> <u>trapezoid</u> is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.

Related to internal angles, angles of the base are equal and opposite angles are supplementary.

In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:

18x + 8 = 11x + 15

7x = 7

x = 1

Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:

m∠J = 18(1) + 8

m∠J = 26

m∠K + m∠J = 180

m∠K + 26 = 180

m∠K = 154

The angle m∠K is 154°

7 0
3 years ago
File attached <br> Please help
Lubov Fominskaja [6]

Answer:

the answer is C, 369

Step-by-step explanation:

1. divide 800 by 40 which will give you 20

2. then multiply 18 by 20

3. answer is 360

the reason I did this was because if you had multiplied math, physics and chemistry by 20 it would have given you the total of 800 trials

3 0
3 years ago
40 POINTS!!
Kaylis [27]

The answer is C 84. Your welcome

5 0
3 years ago
Read 2 more answers
Help pleaseee i cant
maw [93]

how are you today  

Step-by-step explanation:

8 0
3 years ago
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