Draw a distribution curve (T,Z,F)


Consider the surface z = f(x, y) = sin(x) + cos(y) and the curve C in the xy plane defined parametrically as x(t) = 2cos(t), y(t) = sin(t) a. Find z'(t). Imagine you are walking directly above the curve C in the direction of increasing t. Find the values of t for which you are walking uphill. Hint:Graph z'(t). Graph f(x, y) for -7 < x < 7 and -7 < y < 7. (You will have to find software...
(3) For the following velocity fields F on R3, find the flow along the given curve. r(t) = (t, t2, 1) F=(-4xy, 83, 2) with 0 2 t 1l F=(z-z, 0,2) r(t)-(cost, 0, sin t) with 0 t π F = (-y,2, 2) with r(t) = (-2 cost, 2 sin t, 2t) 0 < t < 2π
(3) For the following velocity fields F on R3, find the flow along the given curve. r(t) = (t, t2, 1) F=(-4xy, 83,...
2. If C is the space curve given by F(t) = (t, t”, t') (0 St < 1) and F(x, y, z) = (1+z, cos(TX), e24), find ScF. dr.
(1 point) Calculate the integral of f(x, y, z)-3x2 + 3уг + z6 over the curve c(t) (cost, sint, t) for 0 < t < π
(1 point) Calculate the integral of f(x, y, z)-3x2 + 3уг + z6 over the curve c(t) (cost, sint, t) for 0
Evaluate the line integral f F dr for the vector field F(x, y, z) curve C parametrised by Vf (x, y, z) along the with tE [0, 2 r() -(Vt sin(2πt), t cos (2πi), ?) ,
Evaluate the line integral f F dr for the vector field F(x, y, z) curve C parametrised by Vf (x, y, z) along the with tE [0, 2 r() -(Vt sin(2πt), t cos (2πi), ?) ,
consider a standard normal distribution to answer the following question .draw the normal curve, shade the appropriate region and solve the following question a ) P( Z < -1.50 ) b ) P (- 1.00 < Z < 0.50 ) c ) what is the Z score that separates the upper 3% from the lower 97% of a normal distribution
14. Given a standard normal distribution, find: (For full credit need to draw the curve and shade the area) a) P(−1.13 < z < 3.11). b) P (0.21 < z < 0.81).
The curve of Student’s t distribution and the curve of the Chi-square distribution are each similar to the Normal Curve in that there is one standard curve. True or false? True False
TheIcmnil The have 4. Hermit polynomials TOTAL 15 (1 Write the equation of the Hermit curve F(u) with t points and their tangent vectors: ·K· Score (3) Draw the shape of the curve and indicate, F(O.5) . Po) and F() in the followir figure
TheIcmnil The have 4. Hermit polynomials TOTAL 15 (1 Write the equation of the Hermit curve F(u) with t points and their tangent vectors: ·K· Score (3) Draw the shape of the curve and indicate, F(O.5)...
Find the area under the standard normal distribution curve between z = –2.05 and z = 2.05.