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Volgvan
3 years ago
9

Heeellllppp!!!! Please

Mathematics
1 answer:
alisha [4.7K]3 years ago
5 0
The answer is x = 62. YOU'RE WELCOME :D
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g The tangent plane to z=f(x,y) at the point (1,2) is z=5x+2y−10. (a) Find fx(1,2) and fy(1,2). fx(1,2)= Number fy(1,2)= Number
murzikaleks [220]

Answer:

The values for Fx(1,2) and Fy(1,2) are 5 and 2 respectively.

Approximation at points (1.1,1.9) is 0.7

Step-by-step explanation:

Given:

Tangent plane to  a surface z=5x+2y-10 as the function at point (1,2)

To find :

f(x,y) at (1,2)

partial derivatives of function w.r.t. (x and y) and value of that function at given points.

Solution:(refer the attachment also)

Now we know that

the equation of tangent plane at given points to the surface is given by,

f(x1,y1,z1) and z=f(x,y)

z-z1=Fx(x1,y1)*(x-x1)+Fy(x1,y1)*(y-y1)

here Fx(x1,y1) and Fy(x1,y1) are the partial derivatives of x and y.

now

taking partial derivative w.r.t. x we get

Fx(x1`,y1)=\frac{d}{dx} (5x+2y-10)

=5.

Then w.r.t y we get

Fy(x1,y1)=

\frac{d}{dy}(5x+2y-10)

=2.

The values for Fx(1,2) and Fy(1,2) are 5 and 2 respectively.

Using the Linearization or linear approximation we get

L(x,y)=f(x1,y1)+Fx(x,y)*(x-x1)+Fy(x,y)(y-y1)

=-1+5(x-1)+2(y-2)

=5x+2y-10

Approximation at F(1.1,1.9)

=5(1.1)+2(1.9)-10

=5.5+3.8-10

=0.7

Approximation at points (1.1,1.9) is 0.7

6 0
3 years ago
Karen collects 6/7 quart of rainwater. She uses 1/2 of the water to clean her bicycle and uses the remaining water equally for 3
quester [9]
Water collected - 6/7
Water used for cleaning bicycle = 1/2 × 6/7 = 6/14
Water used for each houseplant =>6/14 ÷ 3 = 2/14 = 1/7
3 0
3 years ago
2 plez!!!?!?!?!?!?!?!?!??!!??!?!?!!??!?!?! I can’t figure it out I’ve tried everything it’s due tomorrow AHAHAHAH
harkovskaia [24]
So to do this one, you have to do the problem backwards!

The equation looks like this with everything plugged in:

272.2 = 2(3.14)r

You are looking for r, so start dividing

272.2 = 2(3.14)r
136.1 = (3.14)r
43.3 = r

Therefore the radius is about 43.3 in.

I hope I helped!
5 0
3 years ago
Maricela heard that as a general rule, she should spend no more than one week's pay on rent. If Maricela's salary is $48,000 per
Anna [14]
You just need to divide the yearly salary by the number of weeks per year to get 48000/52 weeks=923 is the amount that she should spend no more than one week's pay which is the maximum amount per month that she can spend on rent.
8 0
3 years ago
Read 2 more answers
Jennifer bought a printer that cost $240. there was a 7% sales tax on the printer. how much sales tax did jennifer pay?
lilavasa [31]
Divide 7% into $240 dollars and hat should get you your answer.
hope this helps!
5 0
3 years ago
Read 2 more answers
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