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3 years ago

Find the product. (-7p)^3

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

6 0

For this case we must resolve the following expression:

$(-7p) ^ 3$

So:

$(-7p) ^ 3 =\\(-7p) (- 7p) (- 7p) =$

By law of multiplication of signs we have:

$- * - = +\\+ * - = -$

Also:

$7 * 7 * 7 = 343\\p * p * p = p ^ 3$

Finally, we have that the expression is equivalent to:

$(-7p) ^ 3 = -343p ^ 3$

ANswer:

$-343p ^ 3$

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3 years ago

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Let $f(x,y,z)=x+y+z-8e^{xyz}$ . The tangent plane to the surface at (0, 0, 8) is

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so the tangent plane's equation is

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The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by $t$ , then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation

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3 years ago

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3 years ago

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For example 2|4 7 8 stands for 24, 27, and 28.

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