Search 79,439 tutors

The integers from 1 to 20 can be represented by using six ones and the mathematical operations such as addition subtraction multiplication and division allowing for the use of parentheses exponents...

A particle moves on the x-axis so that its velocity at any time t≥0 is given by v(t)=12t^2-36t+15. At t=1, the particle is at the origin.    a) Find the maximum velocity of the...

The series ∑ n!(x-3)^n from n=0 to infinity converges if and only if    a) x=0 b) 2<x<4 c) x=3 d) 2≤x≤4 e) x<2 or x>4   Answer: C   Please...

Which of the following is the sum of the series pi^n/e^(2n) from n=0 to infinity?    a) e/(e-pi) b) pi/(pi-e) c) pi/(pi-e^2) d) e^2/(e^2-pi) e) The series diverges...

The second and fifth terms of a geometric sequence are -4 and 1/2, respectively. Find   a) the first term, b) the common ratio, c) an explicit rule for the nth term, and d)...

Which of the following gives the value of the area under the curve y=1/(x^2+1) in the first quadrant?    a) pi/4 b) 1 c) pi/2 d) pi e) diverges    Please...

The temperature outside a house during a 24-hour period is given by F(t)=80-10cos(pi*t/12), 0≤t≤24, where F(t) is measured in degrees Fahrenheit and t is measured in hours.    Question:   An...

Which of the following is the limit of the sequence with nth term an=n*sin(3pi/n)?   a) 1 b) pi c) 2pi d) 3pi e) 4pi   The n for an is lower case. Do I supposed...

Which of the following expressions should be used to find the length of the curve y=x^(2/3) from x=-1 to x=1?   a) 2*∫ sqrt(1+(9/4)y) dy from 0 to 1   b) ∫ sqrt(1+(9/4)y)...

Which sequence converges?   a) an=n+3/n   b) an=-1+(-1)^n/n   c) an=sin (n*pi)/2   d) an=n!/3^n   e) an=n/(ln(n))   I...

The base of a solid is a circle of radius 2 inches. Each cross section perpendicular to a certain diameter is a square with one side lying in the circle. The volume of the solid in cubic inches is    a)...

At any time t≥0, the velocity of a particle traveling along the x-axis is given by the differential equation dx/dt-10x=60e^4t.    Find the general solution x(t) for the position...

Find the total area bounded by the cubic x=y^3-y and the line x=3y.    Answer: 8   Please show all your work.

The graphs of the polar curves r=3 and r=4-2sin(theta) are shown in the figure above. The curves intersect when theta=pi/6 and theta=5pi/6.   a) Let S be the shaded region that is inside...