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2 years ago

8(x + 5) = 16

Mathematics

1 answer:

kiruha [24]2 years ago

4 0

Answer:

-40

Step-by-step explanation:

Just multiply

-8x-40=16

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Evaluate the line integral, where C is the given curve. (x + 6y) dx + x2 dy, C C consists of line segments from (0, 0) to (6, 1)

Dima020 [189]

Split $C$ into two component segments, $C_1$ and $C_2$ , parameterized by

$\mathbf r_1(t)=(1-t)(0,0)+t(6,1)=(6t,t)$

$\mathbf r_2(t)=(1-t)(6,1)+t(7,0)=(6+t,1-t)$

respectively, with $0\le t\le1$ , where $\mathbf r_i(t)=(x(t),y(t))$ .

We have

$\mathrm d\mathbf r_1=(6,1)\,\mathrm dt$

$\mathrm d\mathbf r_2=(1,-1)\,\mathrm dt$

where $\mathrm d\mathbf r_i=\left(\dfrac{\mathrm dx}{\mathrm dt},\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt$

so the line integral becomes

$\displaystyle\int_C(x+6y)\,\mathrm dx+x^2\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}(x+6y,x^2)\cdot(\mathrm dx,\mathrm dy)$

$=\displaystyle\int_0^1(6t+6t,(6t)^2)\cdot(6,1)\,\mathrm dt+\int_0^1((6+t)+6(1-t),(6+t)^2)\cdot(1,-1)\,\mathrm dt$

$=\displaystyle\int_0^1(35t^2+55t-24)\,\mathrm dt=\frac{91}6$

6 0

2 years ago

I need help<br> With this plz

s2008m [1.1K]

Answer:

The discount is the same.

Step-by-step explanation:

We need to find the ratios of both discounts.

41/50 = 61.5/75

If the question is True, this means that the ratios should be the same. So we have to cross multiply to find the answer.

75*41 = 50*61.5 = 3075

These two multiplication problems both equal 3075. Since the ratios are equal, the discounts are also equal.

4 0

2 years ago

F(x) = 3 sin x + 3 cos x

Darina [25.2K]

F ( x ) = 3 sim x + 3 cos x
f ` ( x ) = 3 cos x - 3 sin x
f `` ( x ) = - 3 sin x - 3 cos x = - 3 ( sin x + cos x )
The inflection points:
- 3 ( sin x + cos x ) = 0
sin x + cos x = 0
sin x = - cos x / : cos x
tan x = - 1
x 1 = 3π / 4
x 2 = 7π / 4
The function is concave up when f``(x) > 0
- 3( sin x+ cos x ) > 0
sin x + cos x < 0
tan x < - 1
f is concave up for:
x ∈ ( π/2, 3π/4 ) ∪ ( 3π/2, 7π/4)
f is concave down for:
x ∈ ( 0, π/2 ) ∪ ( 3π / 4, 3π/2 ) ∪ ( 7π / 4, 2 π ).

5 0

3 years ago

Read 2 more answers

Indeed some help with my home work and I was woundering of envy one would help I am having trouble

Travka [436]

A. is 10! you multiply the scale (2.5) times the length (4)
b. is 6, you divide 15 by 2.5
c. is 5. you do what you did with a but with 2 inches instead of 4
d. is 1.5 you divide 378 by 250

5 0

2 years ago

Which point can be found using the vertical line x = –9 and the horizontal line y = 8? A. (–8,9) B. (8,–9) C. (–9,8) D. (9,–8)

bezimeni [28]

C because that is the point at which x is -9 and y is 8

7 0

2 years ago