### Friday's Pre-test

Like other unit before the test we had a Pre-test, in order for us to get ready for the test on Tuesday. The test is consist of 5 practice multiple type of questions and one Open response question. In today's pre-test we got this question:

The sides of this rectangle increase in such a way that

First we create a relationship in about this problem. and we got this

then we find the derivative of that relationship.

By the pythagorean theorem we found that z=5. So after that we just plug in the values.

Since

Now our pre-test was done all we have to do is study for our test on Tuesday. Good Luck guys.... The next scribe is

The sides of this rectangle increase in such a way that

**dz/dt=1**and**dx/dt=3dy/dt**. At the instant when**x=4**and**y=3**, what is the value of**dx/dt**?First we create a relationship in about this problem. and we got this

**z^2=x^2+y^2**then we find the derivative of that relationship.

**2z dz/dt=2x dx/dt + 2y dy/dt.**The two are reduces**z dz/dt= x dx/dt + y dy/dt**.By the pythagorean theorem we found that z=5. So after that we just plug in the values.

**(5)(1)=4(3)dy/dt+ 3 dy/dt****=15 dy/dt / 5****= 1/3 dy/dt**Since

**dx/dt= 3 dy/dt**we got the value of**dx/dt= 1**.Now our pre-test was done all we have to do is study for our test on Tuesday. Good Luck guys.... The next scribe is

**Steve....**
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