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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<u>Answer-</u>
<em>The total amount you would have earned over the first 16 years is </em><em>$90047.20</em>
<u>Solution-</u>
The exponential function that would given the growth is,
Where,
P' = Future value,
P = Current value = $50000
r = rate of change = 4% = 0.04
t = time = 15 year (not 16 because the the increment occurs at year end and we want to get the value at the beginning of 16th year)
Putting the values,
Therefore, the total amount you would have earned over the first 16 years is $90047.20
Answer:
Option D is correct.
Length of PQ is 36 unit.
Explanation:
If the measures of two sides in one triangle are proportional to the corresponding sides in the another triangle and their including angles are congruent, then the triangles are similar.
Given: Right angle triangle ABC at B , Length of AB = 12 unit and length of BC = 11.5 unit and in right angle triangle PQR at Q , length of QR = 34.5 unit.
Also it is given that Angle A is congruent to angle P and angle C is congruent to angle R.
To find the length of QR:
It is given that ΔABC and ΔPQR are Similar triangle
then, by the definition of similar triangle:
Substitute the value of AB, QR and BC to solve for PQ;
or
On simplify:
Therefore, the length of side PQ is 36 units.
