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Readme [11.4K]
3 years ago
14

A person can teyp 150 words in 5 minutes at the persons rate how many words can that person tyep in one minite

Mathematics
1 answer:
Deffense [45]3 years ago
8 0
150/5=30
30 words per minute
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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
Beatrice made 7 2/3 cups of lemonade for her lemonade stand. Later, she made 10 3/5 more cups of lemonade. How many cups of lemo
mojhsa [17]
You need to do cross multiplication
4 0
3 years ago
Read 2 more answers
P(2,4),parallel to y=-3×+4
daser333 [38]
4 = - 3(2) + c
4 = - 6 + c
c = 10
y = - 3x + 10
5 0
3 years ago
1. John earns $10 per hour for any work up to 40 hours. For any time over 40 in a week, he receives 1.5 times his normal pay. Ho
yanalaym [24]

Answer:

1. 520

2. 568.125

Step-by-step explanation:

1.

10 per 40 hours + 1.5 overtime

1.5 overtime = 10(1.5) = 15

10 (40) + 15 (8)

= 400 + 120

= 520

2.

11.25 per 40 hours + 1.5 overtime

1.5 overtime = 11.25(1.5) = 16.875

11.25 (40) + 16.875 (7)

= 450 + 118.125

= 568.125

8 0
1 year ago
Simplify the following.<br> - (3z)2
Sedaia [141]

Answer:

-6z

Step-by-step explanation:

(3z)2=6z

Add the negative

-6z

4 0
2 years ago
Read 2 more answers
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