Answer:
Hello!!
For question twelve,
is an identity.
For question thirteen,
has no solution.
Hope this helps!!
Using implicit differentiation, it is found that y is changing at a rate of 10 units per second.
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The equation is:

Applying implicit differentiation in function of t, we have that:

- x-values changing at a rate of 2 units per second means that

- Point Q(1,4) means that
.
We want to find
, thus:


y is changing at a rate of 10 units per second.
A similar problem is given at brainly.com/question/9543179
Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2/3 of the way there.
How many more hours does Liza have to drive?
<em><u>Answer:</u></em>
Liza need to drive 2 more hours to reach her sister house
<em><u>Solution:</u></em>
Given that Liza is driving to her sister's house 360 miles away
So total distance = 360 miles
After 4 hours, Liza is 2/3 of the way there.

So Liza has covered 240 miles in 4 hours
Let us find the speed
<em><u>The relation between distance and speed is given as:</u></em>


Thus speed = 60 miles per hour
Assuming speed is same throughout the journey, let us calculate the time taken to complete remaining distance
Remaining distance = 360 - 240 = 120 miles
Now distance = 120 miles and speed = 60 miles per hour

Thus Liza need to drive 2 more hours to reach her sister house
To solve this, you can set up an equation. Make the length of the shortest side x, so the 2 sides double the length will equal 2x. Since they all equal the perimeter of 36, do x + 2x + 2x =36. These values all represent the sides(2 longer, one short). Combine like terms to get 5x=36 then divide by 5 to find the value of x. x=7.2in meaning the shorter side is 7.2 inches while the longer sides are both 14.4 inches each since they are double in size.