Question

In: Math

If sec(α) = − 13 5 where π 2 < α < π and tan(β) =...

If

sec(α) = −

13

5

where

π

2

< α < π

and

tan(β) =

24

7

where

π < β <

3π

2

, find the exact values of the following.

(a) csc(α − β)

(b) sec(α + β)

(c) cot(α + β)

Expert Solution

complete answer

milcah answered 2 years ago

A = [(α −β −β), (−β α −β), (−β −β α) ] (each row is in...

A = [(α −β −β), (−β α −β), (−β −β α) ] (each row is in paranthesis) (c) Find the algebraic multiplicity and the geometric multiplicity of every eigenvalue of A. (d) Justify if the matrix A is diagonalizable.

A firm’s production function is ? = ?Lα ?β where A, α, and β are positive...

A firm’s production function is ? = ?Lα ?β where A, α, and β are positive constants. The firm currently uses 500 units of labor and 40 units of capital. If the firm adds 1 more unit of labor, what happens to productivity of capital? Explain. Given a production function Q = f(L, K), if marginal product of labor and marginal product of capital are both positive, then this function displays diminishing MRTS. Explain if this statement is true or...

13. Which of the following are not features commonly observed in α-helices and β-sheets? A. amino...

13. Which of the following are not features commonly observed in α-helices and β-sheets? A. amino acid side R groups that point outward, parallel regions B. left-handedness, coiled-coil patterns C. cylindrical shape, extended polypeptide backbone D. one helical turn every 3.6 amino acids, antiparallel regions 14. Fill in the blanks: The α-helices and β-sheets are examples of protein ____________ structure. A protein such as hemoglobin, which is composed of more than one protein ____________, has ____________ structure. A molecule such...

1. Homework 4 Due: 2/28 Let X1,...,Xn i.i.d. Gamma(α,β) with α > 0, β > 0...

1. Homework 4 Due: 2/28 Let X1,...,Xn i.i.d. Gamma(α,β) with α > 0, β > 0 (a) Assume both α and β are unknown, find their momthod of moment estimators: αˆMOM and βˆMOM. (b) Assume α is known and β is unknown, find the maximum likelihood estimation for β. 2.

Let α, β be cuts as defined by the following: 1) α ≠ ∅ and α...

Let α, β be cuts as defined by the following: 1) α ≠ ∅ and α ≠ Q 2) if r ∈ α and s ∈ Q satisfies s < r, then s ∈ α. 3) if r ∈ α, then there exists s ∈ Q with s > r and s ∈ α. Let α + β = {r + s | r ∈ α and s ∈ β}. Show that the set of all cuts R with the...

Consider the model Et = α + β It + ut

Consider the model Et = α + β It + ut where ut has a zero mean Where Et is aggregate expenditure on a good and It is total income. Given the following information OLS Estimates Using 51 Observations Dependent Variable Et Variable Coeff STD error T Stat constant 0.26644 0.3294 .809 It 0.06754 .0035 19.288 SSR = 157.90709 Unadjusted R2 = 0.884 Adjusted R2 = .881 OLS Estimates Using 51 Observations Dependent Variable u2t...

Sketch the curve given by the parametric equation x= tan(t) , y=sec (t) for -pi/2 <...

Sketch the curve given by the parametric equation x= tan(t) , y=sec (t) for -pi/2 < t < pi/2. Eliminate the parameter "t" and find the Cartesian form of this curve. What type of curve is this? What curve would be good if "t" belong to the interval (pi/2, 3pi/2)?

The lifetime of an electronic component has a Weibull distribution with parameters α=0.60 and β=2. Compute...

The lifetime of an electronic component has a Weibull distribution with parameters α=0.60 and β=2. Compute the probability the component fails before the expiration of a 4 year warranty. The maximum flood levels, in millions of cubic feet per second, for a particular U.S. river have a Weibull distribution with α=5/3 and β=3/2. Find the probability that the maximum flood level for next year will exceed 0.7 million cubic feet per second.

The integral ∫sec2x/(sec x + tan x)9/2 dx equals (for some arbitrary constant k)

n = 5 p or π = 0.15 P(X<2) =