(a) Find the exact length of the curve y = 1/6 (x2 +
4)(3/2) , 0...
(a) Find the exact length of the curve y = 1/6 (x2 +
4)(3/2) , 0 ≤ x ≤ 3. (b) Find the exact area of the
surface obtained by rotating the curve in part (a) about the
y-axis.
cosxdx + [7+(2/y)]sinxdy = 0
Find if the equation is exact. If it is exact, solve.
If it is not exact, find an integrating factor to make it exact,
verify that it is exact and solve it.
Please answer all 3 questions and explain . thank you.
(1) Determine the length of the curve y= 3 + 2x^(3/2) for 0 ≤ x
≤ 2. You can use your calculator at the last step (after the
integration) to determine the approximate length, or you may keep
it exact.
(2) Set up, but do not evaluate an integral for the surface area
obtained by rotating the curve y = x^3+ 4, 1 ≤ x ≤ 5 (a) about the...
a.)Find the length of the spiral r=θ for 0 ≤ θ ≤ 2
b.)Find the exact length of the polar curve r=3sin(θ), 0 ≤ θ ≤
π/3
c.)Write each equation in polar coordinates. Express as a
function of t. Assume that r>0.
- y=(−9)
r=
- x^2+y^2=8
r=
- x^2 + y^2 − 6x=0
r=
- x^2(x^2+y^2)=2y^2
r=
X 2 3 1 1 4
Y 3 3 -1 0 6
a) calculate the slope and y-intercept for these data.
Y= ( )+ ( )X (Round to four decimal places).
b) Calculate the total sum of squares (SST)
SST= (Round to one decimal places)
c) Partition the sum of squares into the SSR and SSE
SSE= (Round to three decimal places)
SSR= (Round to three decimal places)