Given that Csc(x) = - 3 and Cos(x) < 0, find the exact
value of each of the trigonometric function of x.
Functions are: a. Sin(x) , b. Cos(x) , c. Tan(x) , d. Csc(x) ,
e. Sec(x) , f. Cot(x)
1A) Solve by substitution.
2x − y + 3 = 0 x2 +y2 −4x=0
1B)
Solving system by Gaussian Elimination and then by back
substitution
3x − 3y + 6z = 6
x + 2y − z = 5 5x −8y +13z = 7
Find the exact value under the given conditions
1) tanx=-7/24, x lies in quadrant 2, cos(y)= 3/4, y lies in
quadrant 1
Find: sin(x+y), cos(x+y), tan(x+y)
2) cos(x)=21/29 x in quadrant 4, sin(y)=-5/12, y in quadrant
3
Find: cos(x+y)
2. Find the following derivative y=4x?
3. Find any maximum or minimum values of the function y(x)=1+x/e4x. Use a sign chart or a second derivative test to verify the answer(s) you get is a max or min.
A. In the following parts, consider the function f(x)
=1/3x^3+3/2x^2−4x+ 7
(a)Find the intervals on which f is increasing/decreasing and
identify any local extrema.
(b) Find the intervals on which f is concave up/down and find
any inflection points.
B. Consider the function f(x) = sin(x) + cos(x). Find the
absolute minimum and absolute maximum on the interval [−π,π].