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MA_775_DIABLO [31]
2 years ago
12

5. Is s = 8 a solution to the inequality below? a) s < 2​

Mathematics
1 answer:
JulijaS [17]2 years ago
4 0

Answer:

Step-by-step explanation:

no, as 8 is not <2

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Evaluate the integral Integral ∫ from (1,2,3 ) to (5, 7,-2 ) y dx + x dy + 4 dz by finding parametric equations for the line seg
n200080 [17]

\vec F(x,y,z)=y\,\vec\imath+x\,\vec\jmath+3\,\vec k

is conservative if there is a scalar function f(x,y,z) such that \nabla f=\vec F. This would require

\dfrac{\partial f}{\partial x}=y

\dfrac{\partial f}{\partial y}=x

\dfrac{\partial f}{\partial z}=3

(or perhaps the last partial derivative should be 4 to match up with the integral?)

From these equations we find

f(x,y,z)=xy+g(y,z)

\dfrac{\partial f}{\partial y}=x=x+\dfrac{\partial g}{\partial y}\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)

f(x,y,z)=xy+h(z)

\dfrac{\partial f}{\partial z}=3=\dfrac{\mathrm dh}{\mathrm dz}\implies h(z)=3z+C

f(x,y,z)=xy+3z+C

so \vec F is indeed conservative, and the gradient theorem (a.k.a. fundamental theorem of calculus for line integrals) applies. The value of the line integral depends only the endpoints:

\displaystyle\int_{(1,2,3)}^{(5,7,-2)}y\,\mathrm dx+x\,\mathrm dy+3\,\mathrm dz=\int_{(1,2,3)}^{(5,7,-2)}\nabla f(x,y,z)\cdot\mathrm d\vec r

=f(5,7,-2)-f(1,2,3)=\boxed{18}

8 0
3 years ago
Two intersecting lines have of point(s) in common.
Dmitry [639]

Answer:A line segment

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The cooking club made some pies to sell at a basketball game to raise money for the new math books. The cafeteria contributed tw
Neko [114]

Answer:

10

Step-by-step explanation:

Each pie was cut into 6 pieces. 6 x 10= 60.

3 0
3 years ago
PLEASE HELP!!!! and show your work
Goryan [66]
The answer would be 

4.41

my work is in the image below 

hope this helps :) 

4 0
3 years ago
Jim rented a truck for one day. there was a base fee for $19.95 and there was an additional charge of 91 cents for each mile dri
beks73 [17]
First you’ll subtract the base fee, which is 19.95 from the price payed, 243.81

243.81
-19.95
223.86

Now take 223.86, your remainder and divide it by .91, you will get 246, meaning Jim traveled 246 miles.

Answer: Jim travelled 246 Miles.
5 0
1 year ago
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