Evaluate the geometric series below. ∑_(i=0)^∞ 12(4/7)^i
Evaluate the geometric series below. ∑_(i=0)^∞ 12(4/7)^i
Which convergence test(s) would you use to determine the convergence of the series below? ∑_(i=0)^∞ (i+3)/i!
Explain why the series below Explain why the series below converges or diverges using the p-series test. ∑_(i=1)^∞ 1/i^3
Let R be the region bounded by two curves described below. Find the volume of the solid generated when R is revolved about the x-axis. y=2x y=16 4√x
List the first 6 terms of the sequence below. (−1)^(n−1)/2n
∑_(i=1)^4¦(i−1)!/t^2
If I vector u=<5,-3,6> and v=<3,-2,5> what is the cosine of the angle between u and v? and what is the sine of the angle between them?
I have vectors u=<1,6,-2> and v<2,-3,1> how do find the distance between the terminal points of these vectors?
Find the magnitude of u×v and the unit vector parallel to u×v in the direction of u×v. 3) u=4i +2j+8k, v=-i-2j-2k
Use two rectangles of equal width to estimate the area between the graph of f(x) = x + cos(πx) and the x-axis on the interval [2, 6]. Evaluate the function at the mid-point of each rectangle to...
Write down an (in)equality which describes the solid ball of radius 2 centered at (-7, -3, 1). It should have a form like (x+15)2+(y−20)2+(z−12)2−100>0, where you use one of the...
Find an equation of the sphere with center (-6, -3, 4) and radius 9.
Find an equation of the sphere that passes through the origin and whose center is (1, 10, -5). Note that you must put everything on the left hand side of the equation and that we desire the coefficients...
If village A is 72 miles east and 30 miles south of village B, what is the straight line distance, measured in miles, between the villages (omit units)?
What is the distance from the point (11, -6, -7) to the xz-plane?
Find an equation of the largest sphere with center (14, 8, 5) that is contained completely in the first octant.
Find the center and radius of the sphere for this equation x2+12x+y2−18y+z2+16z=−132
Find an equation of the sphere that passes through the origin and whose center is (1, 10, -5).
Find the equation of a sphere if one of its diameters has endpoints: (-6, 4, 0) and (0, 0, 6).
Find an equation of the sphere with center (-6, -3, 4) and radius 9. Note that you must move everything to the left hand side of the equation and that we desire the coefficients of the quadratic...