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3 years ago

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 )

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

Sum to n terms series 2.3+3.4+4.5+…​

Sum to n terms series 2.3+3.4+4.5+…