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user100 [1]
2 years ago
5

Which of the following expressions are meaningful? Which are meaningless? Explain. (a) (a · b) · c (a · b) · c has ---Select---

because it is the dot product of ---Select--- . (b) (a · b)c (a · b)c has ---Select--- because it is a scalar multiple of ---Select--- . (c) |a|(b · c) |a|(b · c) has ---Select--- because it is the product of ---Select--- . (d) a · (b + c) a · (b + c) has ---Select--- because it is the dot product of ---Select--- . (e) a · b + c a · b + c has ---Select--- because it is the sum of ---Select--- . (f) |a| · (b + c) |a| · (b + c) has ---Select--- because it is the dot product of ---Select--- .
Mathematics
1 answer:
rodikova [14]2 years ago
4 0

Answer:

(a) (a · b) · c  has Meaningless because it is the dot product of two scalars.

(b) (a · b)c  has  Meaningful because it is a scalar multiple of a scalar and a vector .

(c) |a|(b · c) has Meaningful because it is the product of two scalars .

(d) a · (b + c) has Meaningful because it is the dot product of two vectors .

(e) a · b + c has Meaningless because it is the sum of a scalar and a vector.

(f) |a| · (b + c)  has Meaningless because it is the dot product of a scalar and a vector .

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Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y) → (0, 0) x4 − 34y2 x2 + 17y2
HACTEHA [7]

Answer:

<h2>DNE</h2>

Step-by-step explanation:

Given the limit of the function \lim_{(x,y) \to (0,0)} \frac{x^4-34y^2}{x^2+17y^2}, to find the limit, the following steps must be taken.

Step 1: Substitute the limit at x = 0 and y = 0 into the function

= \lim_{(x,y) \to (0,0)} \frac{x^4-34y^2}{x^2+17y^2}\\=  \frac{0^4-34(0)^2}{0^2+17(0)^2}\\= \frac{0}{0} (indeterminate)

Step 2: Substitute y = mx int o the function and simplify

= \lim_{(x,mx) \to (0,0)} \frac{x^4-34(mx)^2}{x^2+17(mx)^2}\\\\= \lim_{(x,mx) \to (0,0)} \frac{x^4-34m^2x^2}{x^2+17m^2x^2}\\\\\\= \lim_{(x,mx) \to (0,0)} \frac{x^2(x^2-34m^2)}{x^2(1+17m^2)}\\\\\\= \lim_{(x,mx) \to (0,0)} \frac{x^2-34m^2}{1+17m^2}\\

= \frac{0^2-34m^2}{1+17m^2}\\\\=  \frac{34m^2}{1+17m^2}\\\\

<em>Since there are still variable 'm' in the resulting function, this shows that the limit of the function does not exist, Hence, the function DNE</em>

4 0
3 years ago
The right answer can you help me plz
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sooooooo....whats the question???

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Since 250 is closer to 0 (which is the sea level) on the number line compared to 275, Jill is closer to sea level.

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