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6 days ago

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Denise and Sandra are playing a target game. The object of the game is to get an object as close to the center as possible. Each

player’s score is the number of inches away from the center. Their scores are shown below. Denise’s scores: 112, 116, 125, 119, 131 Sandra’s scores: 124, 120, 110, 126, 118 Which explains who is winning the game? Denise is winning because she has the greater mean. Denise is winning because she is generally closer to the center. Sandra is winning because she has the greater mean. Sandra is winning because she is generally closer to the center.

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The equation of the tangent plane to the ellipsoid x2/a2 + y2/b2 + z2/c2 = 1 at the point (x0, y0, z0) can be written as xx0 a2

PIT_PIT [12445]

Answer:

The tangent plane equation for the hyperboloid

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}=1$ .

Step-by-step explanation:

We have

The ellipsoid's equation is

$\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}=1$

The equation for the tangent plane at the point $\left(x_0,y_0,z_0\right)$

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}+\frac{zz_0}{c^2}=1$ (Given)

The hyperboloid's equation is

$\frac{x^2}{a^2}+\frac{y^2}{b^2}-\frac{z^2}{c^2}=1$

F(x,y,z)= $\frac{x^2}{a^2}+\frac{y^2}{b^2}-\frac{z^2}[c^2}$

$F_x=\frac{2x}{a^2},F_y=\frac{2y}{b^2},F_z=-\frac{2z}{c^2}$

$(F_x,F_y,F_z)(x_0,y_0,z_0)=\left(\frac{2x_0}{a^2},\frac{2y_0}{b^2},-\frac{2z_0}{c^2}\right)$

The tangent plane equation at point $\left(x_0,y_0,z_0\right)$

$\frac{2x_0}{a^2}(x-x_0)+\frac{2y_0}{b^2}(y-y_0)-\farc{2z_0}{c^2}(z-z_0)=0$

The tangent plane equation for the hyperboloid is

$\frac{2xx_0}{a^2}+\frac{2yy_0}{b^2}-\frac{2zz_0}{c^2}-2\left(\frac{x_0^2}{a^2}+\frac{y_0^2}{b^2}-\frac{z_0^2}{c^2}\right)=0$

The tangent plane equation

$2\left(\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}\right)=2$

Hence, the required tangent plane equation for the hyperboloid is

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}=0$

7 0

3 months ago

It takes jacob 24 minutes to eat a bucket of ice cream, and it takes Alisha 36 minutes to eat the same amount of ice cream. If t

babunello [11817]

Answer:

one hour.

Step-by-step explanation:

by subtracting 24 from 36, you arrive at 12, which when multiplied by 5 gives you 60. 60 minutes equals one hour.

hope this is useful!!

apologies if incorrect..

6 0

1 month ago

Janie has \$3$3dollar sign, 3. She earns \$1.20$1.20dollar sign, 1, point, 20 for each chore she does and can do fractions of ch

lawyer [12517]

9

8 0

1 month ago

Read 2 more answers

Marc mows lawns for $25 each lawn, plus $5 for every hour he spends mowing. The equation for his total earnings per lawn is y =

tester [12383]

Answer:

The constant pay of $25 signifies the intercept

Step-by-step explanation:

To address this query, we first need to comprehend and relate it to the formula for a straight line.

i.e $y= mx+c$ this represents the line's equation

where m= slope

y= dependent variable

x= independent variable

c= intercept

Given

$y= 25+5h$

by comparing the two expressions, we can observe that

25 is equivalent to c, which denotes the intercept

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3 months ago