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RUDIKE [14]
3 years ago
11

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?

Mathematics
1 answer:
Kitty [74]3 years ago
3 0

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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Using f(x) = 8x + 5 and g(x) = 7x - 2, find:g(f(6))
iren2701 [21]

Answer:

369

Step-by-step explanation:

g(f(x)) simply means to put the whole expression of function f(x) into the place of "x" in g(x).

and to find the functional value for a specific x we just need to calculate functional value for f(x) and use that result as input for g(x).

f(6) = 8×6 + 5 = 48 + 5 = 53

and now

g(53) = 7×53 - 2 = 371 - 2 = 369

to check we do the general functional substitution :

g(f(x)) = 7×(8x+5) - 2 = 56x + 35 - 2 = 56x + 33

g(f(6)) = 56×6 + 33 = 336 + 33 = 369

correct

5 0
3 years ago
I have $1.00 in coins on my desk made up of nickels and dimes. I have 4 more dimes than nickels. How many nickels do I have?
Elena L [17]

Answer:12

Step-by-step explanation:

6 0
3 years ago
I don’t know the answer or how to do this, help!
makvit [3.9K]

Answer:

B.

Step-by-step explanation:

y = x^2 - x - 12

y = (x-4)×(x+3) that means x it either 4 or -3

y = x + 3

for x = 4 ➡ y = 3+4 ➡7

for x = -3 ➡ y = -3 + 3➡0

(the answer key is most probably faulty there's no way for y to be 0 in both scenarios)

6 0
3 years ago
A. Compute the balance in an account if $25,000 is invested for 5 years with an APR of 3% compounded daily. The balance in the a
Sunny_sXe [5.5K]

Answer:

A.  $29,045.68

B.  $28,981.85

C. Compound daily applies interest everyday over a period of 365 days in a year. Compound annually only applies the 3% interest once a year.

Step-by-step explanation:

3% compounded daily:

   A = P(1 + r/n)^nt

      = 25000(1 + \frac{.03}{365})^365(5)

      = 25000(1.00008219)¹⁸²⁵

      = 25000(1.161827)

      = 29045.6770

3% compounded annually:

   A = P(1 + r/n)^nt

      = 25000(1 + \frac{.03}{1})^1(5)

      = 25000(1.03)⁵

      = 25000(1.159274)

      = 28981.8518

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3 years ago
If ΔABC≅ΔDEF, then what corresponding parts are congruent?
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All angles are congruent to its corresponding part. While all segments are similar to its corresponding part
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