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GenaCL600 [577]
1 year ago
8

Find the sum of the infinity of the Gp 3, 3/10, 3/100 pls i need a step by step solution ​

Mathematics
1 answer:
Over [174]1 year ago
7 0

Answer:

Step-by-step explanation:

d the sum of the infinity of the Gp  

3, 3/10, 3/100  

pls i need a step by step solution ​

Ask for details FollowReport by Jomilojuangel

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A flat circular plate has the shape of the region x squared plus y squared less than or equals 1x2+y2≤1. the​ plate, including t
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You're looking for the extreme values of x^2+3y^2+13x subject to the constraint x^2+y^2\le1.

The target function has partial derivatives (set equal to 0)

\dfrac{\partial(x^2+3y^2+13x)}{\partial x}=2x+13=0\implies x=-\dfrac{13}2

\dfrac{\partial(x^2+3y^2+13x)}{\partial y}=6y=0\implies y=0

so there is only one critical point at \left(-\dfrac{13}2,0\right). But this point does not fall in the region x^2+y^2\le1. There are no extreme values in the region of interest, so we check the boundary.

Parameterize the boundary of x^2+y^2\le1 by

x=\cos u

y=\sin u

with 0\le u. Then t(x,y) can be considered a function of u alone:

t(x,y)=t(\cos u,\sin u)=T(u)

T(u)=\cos^2u+3\sin^2u+13\cos u

T(u)=3+13\cos u-2\cos^2u

T(u) has critical points where T'(u)=0:

T'(u)=-13\sin u+4\sin u\cos u=\sin u(4\cos u-13)=0

(1)\quad\sin u=0\implies u=0,u=\pi

(2)\quad4\cos u-13=0\implies\cos u=\dfrac{13}4

but |\cos u|\le1 for all u, so this case yields nothing important.

At these critical points, we have temperatures of

T(0)=14

T(\pi)=-12

so the plate is hottest at (1, 0) with a temperature of 14 (degrees?) and coldest at (-1, 0) with a temp of -12.

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1 year ago
A teacher has a chart she would like to enlarge to put on a bulletin board. The chart is 8 cm across, and the space on the bulle
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Speed times time=distance
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2 years ago
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The first few steps in solving the quadratic equation 9x2 + 49x = 22 − 5x by completing the square are shown. 9x2 + 49x = 22 − 5
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Answer:

9x²+49x=22-5x

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The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which
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Answer:

  Each strawberry contains 4 calories

Step-by-step explanation:

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Similarly, the graph crosses the vertical line for 4 strawberries above the horizontal line for 15 calories. An estimate of 16 calories for 4 strawberries is consistent with the first statement (4 calories in each strawberry).

The point (6, 24) is on the graph, but it means (6 strawberries, 24 calories), not the other way around.

The appropriate choice is ...

  Each strawberry contains 4 calories

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