3 years ago

Consider the surface f(x,y) = 21 - 4x² - 16y² (a plane) and the point P(1,1,1) on the surface.

Mathematics

1 answer:

____ [38]3 years ago

7 0

Answer:

A) ( -8, -32 )

Step-by-step explanation:

Given function : f (x,y) = 21 - 4x^2 - 16y^2

point p( 1,1,1 ) on surface

Gradient of F

attached below is the detailed solution

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What is the value of n in the equation 1/2(n – 4) – 3 = 3 – (2n + 3)?

Travka [436]

Distribute 1/2 to (n – 4):

 $\frac{1}{2} \times n = \frac{1}{2}n$
$\frac{1}{2} \times -4 = -2$

Subtract (2n + 3):

 $- (2n + 3) = -2n -3$

Your equation should now look like this:

 $\frac{1}{2}n - 2 - 3 = 3 - 2n - 3$

Combine like terms on both sides:

 $-2 - 3 = -5$
$3 - 3 = 0$
$\frac{1}{2}n - 5 = -2n$

Subtract 1/2n from both sides:

 $-5 = -\frac{5}{2}n$

Divide both sides by -5/2 to get n by itself:

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2 years ago

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Write quadratic equation whose roots are 1 and -3 and whose leading coefficient is 4

Mila [183]

Answer:

4x^2 + 8x - 12 = 0.

Step-by-step explanation:

We first write it in factor form.

4(x - 1)(x + 3) = 0

4(x^2 + 2x - 3) = 0

4x^2 + 8x - 12 = 0 (answer).