(a) Find four angles, one in each of the quadrants, with the
reference angle of 4◦ . Your angles should be between 0◦ and 360◦ .
That is, for all four of your angles θ, 0 ◦ ≤ θ ≤ 360◦ .
(b) Find an angle A with 0◦ < A < 360◦ that has the same
sine as θ = 4◦ (but is not θ = 4◦ ).
(c) Find an angle with 0◦ < A < 360◦ that...
Sketch, find the reference angle, and the exact function value
of the following:
1. Sec -225°
2. Sin
-45°
3. Cos
-120°
4. Cos 495°
5. Tan 480°
6. Sin -450°
7. Sec 315°
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)
Use the binomial formula to find the exact p-value (critical
level) when the null hypothesis is p(success)≤ 0.3 and the
alternative hypothesis is p(success)> 0.3 and 3 successes are
observed in 25 independent trials.
1. Use the midpoint of each subinterval for the value of each ck
to find the Riemann sum S5S5 for the following information. Round
your answer to the nearest hundredth.
f(x)=49−x^2 [a,b]=[−7,3]; n=5
2. Find the Riemann sum S5S5 for the following information.
Round your answer to the nearest hundredth.
(x)=sqrt5−x; [a,b]=[−5,5]; n=5, c1=−4.5, c2=−2.5,c3=−0.5,
c4=1.5, c5=3.5
Use the First Derivative Test to find the exact location of all
the relative extrema of the given function.
1. f(t) = t^3-3t^2, Domain [-1, +infinity)
2. f(x) = 3x^4-2x^3, Domain [1, +infinity)
3. f(x) = (x+1)^2/5. Domain [-2,0)
4. f(x) = √ x(x-1), Domain [0, infinity)
Give exact solutions for each of the recurrence relations. Find
the equilibrium values. Are the equilibrium values stable?
a. x(n+1) = 1.5x(n) x(0) = 20
b. x(n+1) = -0.75x(n) + 5 x(0) = 10
c. x(n+1) = 1.2x(n) - 5 x(0) = 2
Find the surface area of the given surface. Enter an exact
answer. Do not use decimal approximations. the portion of the plane
7x + y + 6z = 2 inside the cylinder x2 + y2 = 36
Consider the data set.
2,3,6,8,9
(a)
Find the range. (Enter an exact number.)
(b)
Use the defining formula to compute the sample standard
deviation s. (Enter a number. Round your answer to two
decimal places.)
(c)
Use the defining formula to compute the population standard
deviation σ. (Enter a number. Round your answer to two
decimal places.)