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denis23 [38]
3 years ago
13

Point a is at (6,-6) and point c is at (-6, -2)

Mathematics
1 answer:
Mrrafil [7]3 years ago
3 0

Answer:

(-3,-3)

B=(6-9,6+3)

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Let w(s,t)=f(u(s,t),v(s,t)) where u(1,0)=−6,∂u∂s(1,0)=5,∂u∂1(1,0)=7 v(1,0)=−8,∂v∂s(1,0)=−8,∂v∂t(1,0)=6 ∂f∂u(−6,−8)=−1,∂f∂v(−6,−8
Blababa [14]
w(s,t)=f(u(s,t),v(s,t))

From the given set of conditions, it's likely that you are asked to find the values of \dfrac{\partial w}{\partial s} and \dfrac{\partial w}{\partial t} at the point (s,t)=(1,0).

By the chain rule, the partial derivative with respect to s is

\dfrac{\partial w}{\partial s}=\dfrac{\partial f}{\partial u}\dfrac{\partial u}{\partial s}+\dfrac{\partial f}{\partial v}\dfrac{\partial v}{\partial s}

and so at the point (1,0), we have

\dfrac{\partial w}{\partial s}\bigg|_{(s,t)=(1,0)}=\dfrac{\partial f}{\partial 
u}\bigg|_{(u,v)=(-6,-8)}\dfrac{\partial u}{\partial s}\bigg|_{(s,t)=(1,0)}+\dfrac{\partial f}{\partial 
v}\bigg|_{(u,v)=(-6,-8)}\dfrac{\partial v}{\partial s}\bigg|_{(s,t)=(1,0)}
\dfrac{\partial w}{\partial s}\bigg|_{(s,t)=(1,0)}=(-1)(5)+(2)(-8)=-21

Similarly, the partial derivative with respect to t would be found via

\dfrac{\partial w}{\partial t}\bigg|_{(s,t)=(1,0)}=\dfrac{\partial f}{\partial 
u}\bigg|_{(u,v)=(-6,-8)}\dfrac{\partial u}{\partial t}\bigg|_{(s,t)=(1,0)}+\dfrac{\partial f}{\partial 
v}\bigg|_{(u,v)=(-6,-8)}\dfrac{\partial v}{\partial t}\bigg|_{(s,t)=(1,0)}
\dfrac{\partial w}{\partial t}\bigg|_{(s,t)=(1,0)}=(-1)(7)+(2)(6)=5
6 0
3 years ago
A baker used 3/16 cup of sugar. Then she used another 1/2 cup of sugar. How much sugar did she use in all?
Fittoniya [83]

Answer:

11/16 :)

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
1. The graph below shows the past 9 months of sales for the Carver Cars company. у Carver Cars Sales Car Sales (in dollars) 200,
motikmotik

Answer:

$170,000 D. $800,000​

Step-by-step explanation:

$170,000 D. $800,000​

5 0
2 years ago
5. Please write the equation of a line in y=mx+b format. Find the SLOPE first then find the Y-INTERCEPT (b) Your answer​
castortr0y [4]

Answer:

y = \frac{5}{3}x-1

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Here m = slope of the line

b = y-intercept

Slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is,

m = \frac{y_2-y_1}{x_2-x_1}

From the graph attached,

Since, the given line passes through (0, -1) and (3, 4),

Slope 'm' = \frac{4+1}{3-0}

m = \frac{5}{3}

y - intercept 'b' = -1

Therefore, equation of the line will be,

y = \frac{5}{3}x-1

5 0
3 years ago
The midpoint of EF is M(1. – 1). One endpoint is E (– 3,2). Find the coordinates of endpoint F
Lyrx [107]

Step-by-step explanation:

fihdjshshsjsbshdhddjdhdndjdbdhdb jseheidbdhdhdbehdndndnsjdnsjdndndjsjdndhdh sorry

5 0
2 years ago
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