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irga5000 [103]
1 year ago
6

For the function, evaluate the given expression. f(x, y) = 139 − x2 − y2. Find f(3, −9).

Mathematics
1 answer:
elena55 [62]1 year ago
7 0

The value of the expression f(x,y)=139-x^{2} -y^{2} at (3,-9) is 49.

Given that the expression is  f(x,y)=139-x^{2} -y^{2} and point (3,-9).

We are required to find the value of the expression f(x,y)=139-x^{2} -y^{2} at (3,-9).

Expression is basically a combination of numbers, fractions, symbols, coefficients,determinants,indeterminants. They are mostly not found in equal to form.

Expression is f(x,y)=139-x^{2} -y^{2}.

To find the value of expression f(x,y) at (3,-9).

f(3,-9)=139-(3)^{2} -(9)^{2} (Squaring 3 and -9)

f(3,-9)=139-9-81   (Now add 9 and 81 and put minus sign before the result)

f(3,-9)=139-90    

f(3,-9)=49            (Now subtract 90 from 139)

Hence the value of the expression f(x,y)=139-x^{2} -y^{2} at (3,-9) is 49.

Learn more about expressions at brainly.com/question/723406

#SPJ4

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OLga [1]

Answer:

  1. d, series and sequence diverge
  2. d, geometric/divergent
  3. c, e (geometric, |r|<1)

Step-by-step explanation:

<h3>1.</h3>

The sequence terms have a common difference of -5/8. That make it a non-trivial arithmetic sequence, so it diverges.

The series is the sum of terms of the sequence. Any non-trivial arithmetic series diverges.

(A "trivial" arithmetic series has a first term of 0 and a common difference of 0. It is the only kind of <em>arithmetic</em> series that doesn't diverge.)

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<h3>2.</h3>

The terms of the series have a common ratio of -2. That makes it a geometric series. The ratio magnitude is greater than 1, so the series diverges.

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<h3>3.</h3>

A sequence will converge only if the terms have a common difference of 0 or a common ratio with a magnitude less than 1. Of the offered choices, only C and E will converge:

  c. geometric, r = 3/5

  e. geometric, r = -1/6

_____

<em>Additional comment</em>

The convergence criteria stated for problem 3 applies only to arithmetic and geometric sequences. There are many other kinds of sequences that converge, but these are the kinds being considered in this problem set.

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