Math help please (pre-calc)!?

imported_Amber

New member
I am doing a review for a test and I need help! Please don't just give me the answer I want to know how to do it, or I wont know how to for the test! Thanks.

1.) Solve the equation 2sin^2x=sinx for the interval [0,2pi)

2.) Prove the identity: tanx+cotx=secx cscx

3.) Find the exact value of cos (a+b) given that cos a = 5/13 and cos b = 4/5 and that a and b are between 0 and pi/2

4.) ln(4x-5) = ln 25- ln(x-5)

5.) graph the function (2x-3)/(x+4) and give the following information:
-the asymptotes
-the x-intercepts
-the y-intercepts
****I can graph I just dont know how to find the other info

6.) How long will it take for $3900 to grow to $27,900 at an interest rate of 7.5% if the interest is compounded continuously?

7.)solve: (x+5)/(x+7)<3

8.)Solve: x=sqrt(x+13)+7

9.)A construction company builds a swiming pool with a perimeter of 46m. The lenght is 5m more that the width. find the dimensions of the swimming pool.

10.) use the quadratic formula to find the exact solutions: x^2-6x+34=0

11,) Solve the triangle, if possible. Round to nearest 100th.
a=7.6
b=13.7
c=16.8

12.) simplify the expression: (cosx/sinx)^2 - (1/sin^2x)

13.)find the amplitude, period, and phase shift of y=2sin(3x+(pi/2)

14.) Complete the table round the answers to two decimal places
distance(s)/radius(r)/angle(0)
_______ /4.2cm/ 5pi/12
8f / _____/ 35degrees

15.) express as a single logarithm and, if possible, simplify: (1/2)ln x -ln 4

16.) Given that f(x) = (x-5)/8, g(x)=5x+7, find (g (degrees sign thing) f)(-19)

17.) simplify (8-sqrt(-25)) (3+sqrt(-81)). Write in form of a+bi, where a and b are real #'s

18.) solve 5x^2-35x+50=0

19.) solve and given interval notation for the solution set. Then graph.
-4<-3z+4<or equal to 16

20.)Given that f(x)=x^2-3x+1, find f(a-2). simplify if possible.
 
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