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emmainna [20.7K]
4 years ago
15

How do you do these two questions?

Mathematics
1 answer:
Mice21 [21]4 years ago
4 0

Answer:

a) d²y/dx² = ½ x + y − ½

b) Relative minimum

Step-by-step explanation:

a) Take the derivative with respect to x.

dy/dx = ½ x + y − 1

d²y/dx² = ½ + dy/dx

d²y/dx² = ½ + (½ x + y − 1)

d²y/dx² = ½ x + y − ½

b) At (0, 1), the first and second derivatives are:

dy/dx = ½ (0) + (1) − 1

dy/dx = 0

d²y/dx² = ½ (0) + (1) − ½

d²y/dx² = ½

The first derivative is 0, and the second derivative is positive (concave up).  Therefore, the point is a relative minimum.

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Which equation is perpendicular to the graph of 5x - 3y = 12
ycow [4]

Answer:

y = -3/5x + c

Step-by-step explanation:

Re-arrange the initial equation so that the it becomes y =

To do this, you +3y on both sides to get 5x = 3y + 12

And then -12 on both sides to get 5x - 12 = 3y

Divide everything by 3 so you get 5/3x - 4 = y OR y = 5/3x - 4

The gradient of the initial equation is 5/3, to find the perpendicular line, you need the negative reciprocal of it, which is -3/5

Therefore your perpendicular line should be y = -3/5x + c

Because you didn't specify on what point they intersect, i can't find c for you.

5 0
3 years ago
I need help please thxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx if you do
Keith_Richards [23]

Answer:

C  &  78.21 or 8 as the missing number

Step-by-step explanation:

9.983+12.05=22.033

68.91+9.3=78.21

4 0
4 years ago
Which is the difference of 6 - (-1).
Savatey [412]
The answer would be 7. The two minus signs cancel each other out and turn into a plus sign.
5 0
4 years ago
Read 2 more answers
What is the ordered pair solution for y>= 1/3x+4
blondinia [14]

Answer:

Step-by-step explanation:

y > (1/3)x + 4 has an infinite number of solutions.  Draw a dashed line representing y = (1/3)x + 4 and then pick points at random on either side of this line.  For example, pick (1, 6).  Substitute 1 for x in y > (1/3)x + 4 and 6 for y.  Is the resulting inequality true?  Is 6 > (1/3)(1) + 4 true?  YES.  So we know that (1, 6) is a solution of y > (1/3)x + 4.  Because (1, 6) lies ABOVE the line y = (1/3)x + 4, we can conclude that all points abovve this line are solutions.

6 0
3 years ago
3. A prop for the theater club's play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round
Maksim231197 [3]

Answer:

8138.88 cubic unit.

Step-by-step explanation:

Given that,

Radius, r = 12

Height, h = 18

We need to find the volume of the prop. The volume of a cylinder is given by the formula as follows :

V=\pi r^2 h\\\\V=3.14\times 12^2 \times 18\\\\V=8138.88\

So, the volume of the cylinder is 8138.88 cubic unit.

6 0
4 years ago
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