Calculus Answers

Integrate x2+x+5/(x2+4)(x+1) dx

integrate x2 +x2 +5/(x2+4) (x+1) dx

d) integrate x2 +x2 +5/(x2+4) (x+1) dx

Find the derivative of sin(55)x and cos(164)x

Find derivative of f(x)=9x^20/15x^28

For the surface (1/x)+(1/y)+(1/z)= 1 evaluate (partial z)/(partial x) and (partial z)/(partial y) at the point (2,3,6)

Show that if A and B are sets with the same cardinality, then |A|<=|B| and |B|<=|A|

Find the equation of the plane that passes through the point (2,1,−6) and is tangent to the surface
x^2+4y^3+3z^2=116
at (2,1,−6). Write it in the form indicated below.

Equation: 4(x−2)+___(y−___)+___(z−___)=0

Suppose F(m,r)=Gm/r^2.

(a) At any point (m,r), the differential is
dF=


(b) At the point (100,9), the differential is
dF=


(c) At the point (100,9) with dm=0.2 and dr=−0.2, the differential is
dF=

Find the linear approximation to f(x,y,z)=xy/z at the point (2,2,−1):

f(x,y,z)≈