Suppose that the directional derivatives of f sx, yd are known at a given point in two nonparallel directions given by unit vect
ors u and v. Is it possible to find =f at this point? If so, how would you do it?
1 answer:
Answer:
Step-by-step explanation:
Application of vector notation comes into play here, by using the directional derivatives of f(x,y) at a given point in two non - parallel directions which are given by their respective units u and v, also for both Duf and Dvf are given.
The detailed analysis is carefully shown step by step in the attachment.
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Answer:
Null Hypothesis, :
250 W
Alternate Hypothesis, :
> 250 W
Step-by-step explanation:
We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W.
They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.
<u><em>Let </em></u><u><em> = mean power consumption of microwave ovens.</em></u>
So, Null Hypothesis, :
250 W
Alternate Hypothesis, :
> 250 W
Here, <u>null hypothesis states tha</u>t the mean power consumption of microwave ovens is no more than 250 W.
On the other hand, <u>alternate hypothesis sates that</u> the mean power consumption of microwave ovens is more than 250 W.
The test statistics that would be used here is <u>One-sample z test statistics</u> as we know about the population standard deviation;
T.S. = ~ N(0,1)
Hence, this would be the appropriate hypotheses to determine if the manufacturer's claim appears reasonable.
Answer:
The resulting scatter plot is attached below :
To plot the required scatter plot :
We first take forks on the x - axis and the spoons on the y - axis
Now we arrange the given data in the form of x and y coordinates
Hence, the data becomes :
(2, 10)
(4, 6)
(6, 4)
(8, 1)
(10, 0)
(12, 2)
Now, We plot these points on the graph and get the required scatter plot for the given data.
