shivamkaushik0804

f(x)= sin x + cos x , when x is between 0 and 2 pi

i found f ' (x) = cos x - sin x

how to find the x where cos x -sin x = 0 , in order to knowwhere is f increasing or decreasing between 0 and 2 pi

Please help,

F1 = [ z, y, x ]
and
F2 = [ z, y, -x ]

A. Which of these vector fields is the gradient of a scalar?
B. For the vector field that is NOT a gradient, what is theaxis/direction of the curl?

C. On your paper, with the axis direction of the curl of the vectorfield that is NOT a gradient, coming perpendicularly OUT of thepaper (which means that the rotation is in the plane of the paper).Draw a few vectors

An aquarium 5 m long, 3 m wide, and 2 m deep is full of water. Find the work needed to pump half of the water out of the aquarium. (Use the fact that the density of water is 1000 kg/m3, and use 9.8 m/s2 for g.)

Question Detailsif A x B = B x C then C.A - C.B = c|A-B| yes or noand(AxB)x(CxB) = B(B.(CxA)) yes or no

An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half of the water out of the aquarium. (Use the fact that the density of water is 1000 kg/m³, and use 9.8 m/s² for g.)
W = J

If m ? f(x) ? M for a ? x ? b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b]....

Use this property to estimate the value of the integral.

Let Q be an m × m orthogonal matrix. (a) Prove that for any given vectors u and v in R m, the angle between u and v is the same as the angle between Qu and Qv. (b) Prove that IIQII₂ = 1. (c) Give an example 2 × 2 orthogonal matrix Q, such that IIQII does not equal 1 and IIQII_∞ does not equal 1. (d) Prove that IIQAII₂ = IIAII₂, for any m × m matrix A.

PART ONE
Create a duo tang or binder that lists 10 mental health agencies in the community
that employee support workers or other paraprofessional social service workers.
The entry for each agency should include
 Agency or program name
 Addresses
 Phone and fax numbers
 Email address (if you can obtain one)
 Services offered
PART TWO
From the list of 10 agencies you completed in part one, select at least four
agencies that are of special interest to you. Include extra information (beyond
what you included for the other 6) on each of the 4 you selected: This additional
information should include:
 Mission statement
 Services offered
 Pamphlet of the agency
 Intake procedure
 Contact person (if you can obtain one)
 Other pertinent information