3 years ago

Classify this expression

Mathematics

1 answer:

lyudmila [28]3 years ago

8 0

Answer:

$8. - 1. - 44$

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What is the sum of the 2nd square number and the 3rd cube number?<br>

Arturiano [62]

Answer:

Step-by-step explanation:

Its easy, all you have to do is 2^2 + 3^3 = 31

4 0

3 years ago

Evaluate the line integral ∫CF⋅dr, where F(x,y,z)=5sinxi+4cosyj−2xzk and C is given by the vector function r(t)=t3i−t2j+t1k , 0≤

pickupchik [31]

$\mathbf r(t)=x(t)\,\mathbf i+y(t)\,\mathbf j+z(t)\,\mathbf k$
$\implies\begin{cases}x(t)=t^3\\y(t)=-t^2\\z(t)=t\end{cases}$
$\implies\dfrac{\mathrm d\mathbf r}{\mathrm dt}=3t^2\,\mathbf i-2t\,\mathbf j+\mathbf k$

with $0\le t\le1$ . With this parameterization, the vector field can be written as

$\mathbf F(x,y,z)=\mathbf F(x(t),y(t),z(t))=5\sin(t^3)\,\mathbf i+4\cos(t^2)\,\mathbf j-2t^4\,\mathbf k$

Now the line integral is given by

$\displaystyle\int_C\mathbf F\cdot\mathrm d\mathbf r=\int_{t=0}^{t=1}\mathbf F(x(t),y(t),z(t))\cdot\dfrac{\mathrm d\mathbf r(t)}{\mathrm dt}\,\mathrm dt$
$=\displaystyle\int_0^1(15t^2\sin(t^3)-8t\cos(t^2)-2t^4)\,\mathrm dt$
$=-5\cos1-4\sin1+\dfrac{23}5$

4 0

3 years ago

One number is twice another. The sum of their reciprocals is 9/2. Find two numbers

irina [24]

Answer:

x=2y

x+y=9/2

2y+y=9/2

3y=9/2

y=3/2

x=3

4 0

4 years ago

Evaluate |c 2 + b 2|, given a = 5, b = -3, and c = -2.

irina1246 [14]

Hey there!

|c^2 + b^2|

= -2^2 + -3^2

= -2^2 - 3^2

= -4 - 9

= -13

Therefore, your answer is: -13

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

5 0

2 years ago

Read 2 more answers

Cassie has 1/2 pound of sugar in her cabinet. Her cake calls for 2/10 of a pound of sugar. How many cakes can she make?

dmitriy555 [2]

1/2 is also 5/10 so she can make 2 cakes, but really its 2 and a half cakes but u cant make a half

8 0

4 years ago