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neonofarm [45]
3 years ago
12

Sum to n terms series 2.3+3.4+4.5+…​

Mathematics
1 answer:
mart [117]3 years ago
3 0

Answer:

5.6

Step-by-step explanation:

3.4-2.3=1.1

2.3+1.1=3.4

3.4+1.1=4.5

4.5+1.1=5.6

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Find the gradient of the function g(x,y)= xy at the point (5. - 1). Then sketch the gradient together with the level curve that
guapka [62]

This question is incomplete, the complete question is;

Find the gradient of the function g(x,y)= xy² at the point (5, - 1). Then sketch the gradient together with the level curve that passes through the point.

First find the gradient vector at (5, - 1).

Vg(5,- 1) = [ ]i - [ ]j (Simplify your answers.)

Choose the graph that shows the level curve and the gradient vector at (5, - 1).

options of the sketched graphs are uploaded along this answers

Answer:

Vg(5,- 1) = [ 1 ]i - [ 10 ]j

Option A is the correct graph for this Level

Step-by-step explanation:

Given that;

g(x,y) = xy²

we have to find gradient of this function at ( 5, -1 )

so

Δg(x,y) = dg/dx + dg/dy

d(g)/dx = y² ,       dg/dy = 2gx

therefore

Δg(x,y) = [y²]i + [2yx]j

Δ( 5, -1) = [-1²]i + [2×-1 ×5]j

=Δ(5, -1) = 1i - 10j

[ 1 ]i - [ 10 ]j

Therefore Option A is the correct graph for this Level

3 0
2 years ago
Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x2+y2=81 and bounded above by the plane z=x and
Natali5045456 [20]
In cylindrical coordinates, the volume is given with

\displaystyle\int_{\theta=-\pi/2}^{\theta=\pi/2}\int_{r=0}^{r=9}\int_{z=0}^{z=r\cos\theta}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta
=\displaystyle\int_{\theta=-\pi/2}^{\theta=\pi/2}\int_{r=0}^{r=9}r^2\cos\theta\,\mathrm dr\,\mathrm d\theta
=\displaystyle\left(\int_{\theta=-\pi/2}^{\theta=\pi/2}\cos\theta\,\mathrm d\theta\right)\left(\int_{r=0}^{r=9}r^2\,\mathrm dr\right)
=486
7 0
3 years ago
Read 2 more answers
Easy + brainliest<br><br> 2x(^3) + 10x(^2) − 4x(^2)y − 20xy<br><br> factor this pls, (show all work)
Dimas [21]

Answer:

Answer:

2x • (x2 - 2xy + 5x - 10y)

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

(((2•(x3))+(10•(x2)))-(22x2•y))-20xy

Step  2  :

Equation at the end of step  2  :

(((2 • (x3)) +  (2•5x2)) -  22x2y) -  20xy

Step  3  :

Equation at the end of step  3  :

((2x3 +  (2•5x2)) -  22x2y) -  20xy

Step  4  :

Step  5  :

Pulling out like terms :

5.1     Pull out like factors :

 2x3 - 4x2y + 10x2 - 20xy  =

2x • (x2 - 2xy + 5x - 10y)

Final result :

2x • (x2 - 2xy + 5x - 10y)

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Round nearest hundredth​
maks197457 [2]

Answer:.

Step-by-step explanation:nearest hundredth the answer for this question is joe mama

4 0
2 years ago
Hiro painted his room at a rate of 8 square meters per hour. After 3 hours of painting, he had 28 square meters left to paint. L
coldgirl [10]

Answer:

cgnnjfcjifchhgsiwjcjcbanxjdhw

5 0
2 years ago
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