Determine whether the equation is an identity. If it is an identity, prove it.tan2 x = sec2 x + sin2 x - cos2 x

What will be an ideal response?


The statement is an identity.
secx + sinx - cosx =  + sinx - cosx =  =  =  =  =  = tanx

Mathematics

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Use logarithmic differentiation to find the derivative of y with respect to the independent variable.y = x6 sin x

A. 6 sin x ln x
B. x sin x
C. 6 cos x ln x + 
D. 6 x6 sin x

Mathematics

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation.y = -6 - 8x

A. x: ; y: -6

B. x: - ; y: -6

C. x: -6; y: 

D. x: -6; y: - 

Mathematics

Solve the problem.A rectangular horse pen is to be fenced and divided into five partitions as shown. The length of the fenced-in area is to be twice the width, and the total amount of fencing to be used is 390 feet. Find the length and width of the fenced-in area.

A. l = 41 ft, w = 39 ft B. l = 27.9 ft, w = 14 ft C. l = 78 ft, w = 39 ft D. l = 86.7 ft, w = 43.3 ft

Mathematics

Solve the problem.An experienced accountant can prepare a certain complexity of tax return in 8 hr. A novice accountant can do the job in 11 hr. How long will it take them to do the job working together?

A.  hr
B.  hr
C. 29 hr
D. 4 hr

Mathematics