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makkiz [27]
4 years ago
9

Please help on this ? :)

Mathematics
2 answers:
grigory [225]4 years ago
8 0
I think A is the answer
Marina86 [1]4 years ago
5 0
Answer: C.The graph of the function starts lows and ends high.
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Evaluate the line integral, where C is the given curve. (x + 4y) dx + x2 dy, C C consists of line segments from (0, 0) to (4, 1)
zubka84 [21]

Parameterize the line segments (call them C_1 and C_2, respectively, by

\vec r_1(t)=(1-t)(0,0)+t(4,1)=(4t,t)

\vec r_2(t)=(1-t)(4,1)+t(5,0)=(4+t,1-t)

both with 0\le t\le1. Then

\displaystyle\int_C(x+4y)\,\mathrm dx+x^2\,\mathrm dy

=\displaystyle\int_0^1\bigg((4t+4t)(4)+(4t)^2(1)\bigg)\,\mathrm dt+\int_0^1\bigg((4+t+4(1-t))(1)+(4+t)^2(-1)\bigg)\,\mathrm dt

=\displaystyle\int_0^115t^2+21t-8\,\mathrm dt=\boxed{\frac{15}2}

6 0
3 years ago
The base radius of a cone is 8 mm, and it’s volume is 320mm. What is its height ?
nexus9112 [7]
The height is around 4.77 mm
6 0
3 years ago
Find the slope of the line that passes through (9, 6) and (4, 5).
boyakko [2]

Answer:

slope = \frac{1}{5}

Step-by-step explanation:

calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (9, 6 ) and (x₂, y₂ ) = (4, 5 )

m = \frac{5-6}{4-9} = \frac{-1}{-5} = \frac{1}{5}

8 0
2 years ago
NEED HELP WITH 7 AND 8<br> I WILL GOVE BRAINEST ONLY IF YOU ACTUALLY DO THE PROBLEMS
mihalych1998 [28]
7:
Parallel lines have the same slope
y = -3x + b
Plug in the x and y values from the point
5 = -3(-4) + b
5 = 12 + b
-7 = b
Answer to 7: y = -3x -7

8:
Perpendicular lines have opposite reciprocal slopes
y = -2x + b
Plug in x and y from the point
-6 = -2(7) + b
-6 = -14 + b
8 = b
Answer to 8: y = -2x + 8
3 0
3 years ago
A store owner paid $15 dollars for a book. she marked up the price of the book by 40% to determine it's selling price.
Tcecarenko [31]
A) $15 ÷ 40% =
15×.4= 6
15+6= 21

B) $38 × .25=9.5
38-9.5=28.50

28.50×.06=1.71
28.50+1.17=30.21

I think this is how you do it. would wait for other answers as well to double check.
6 0
4 years ago
Read 2 more answers
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