06/30/20

Find the value a for which e^a + e^(2a) + e^(3a) + e^(4a) + · · · = 4. Here e is the Euler’s constant

Find the value a for which e^a + e^(2a) + e^(3a) + e^(4a) + · · · = 4. Here e is the Euler’s constant

Need some help with this Calculus 2 sequence question

Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges write NONE.

06/23/20

Let (G, *) be a group. Prove that the map π : G → G defined by π(g) = g * g is a homomoprhism if and only if G is abelian

Let (G, *) be a group. Prove that the map π : G → G defined by π(g) = g * g is ahomomoprhism if and only if G is abelian

Abstract algebra

Prove that if R is a ring and I ▹ R, then R[x]/I [x] ≃ (R/I )[x] for any indeterminate x.

06/15/20

Calculus question - tangent line equation of ellipse

Question is from Schaum's Guide to Calculus, p.97 q.18:For the ellipse [MATH]b^2x^2+a^2y^2=a^2b^2[/MATH] show that the equations of its tangent lines of slope m are [MATH]y=mx \pm... more

09/23/19

one dimensional motion

A runner is running at 5 m/s. if during the last 100m she accelerates at 0.1 m/s what will her final velocity be?

09/23/19

physics one dimensional motion

a silly physics teacher drop a textbook a distance of 8m. how long will it take to hit the ground?

Explain how the rule that states that a^-n = 1/a^n is consistent with the rules that a^m/a^n = a^m-n and a^0 = 1 for a≠0.

Explain how the rule that states that a-n = 1 / an is consistent with the rules that am/an= am-n and a0 = 1 for a≠0.

09/06/19

Elementary mechanics

an object is shot from the ground at 125m/s at an angle 30o above the horizontal. how far away does the object lands

09/05/19

Determine a value c so that f is continuous.

f(x)={x+3 x≤2} {cx+6 x>2}

09/05/19

precalc question: find the domain of this function?

A firecracker is launched straight up, and its height is a function of time, h(t) = −16t2 + 128t, where h is the height in feet and t is the time in seconds, with t = 0 corresponding to the instant... more

09/05/19

precalc problem

Give the standard form of the equation of the line that contains the points ( -3/2 , -9 ) and ( 8 , 8/3 )

PERCENT QUESTION

In a particular sale, all items were discounted 40%. If the original price of an item was $50, what was its sale price?

08/28/19

This question seems so simple yet I'm having trouble understanding how to get the answers

Sergio runs a 100-meter race. 7 seconds after the race started Sergio is 35 meters from the starting line and reaches his max speed; he runs at this max speed for the rest of the race. Sergio... more

07/10/19

Conservation of Energy

If a roller coaster begins at rest at the top of a 26 meter hill, then at the bottom of the hill how fast will it be going?

06/07/19

Sec 5.4 Problem 14

Find a function f and a positive number a such that 1+integral (top x bottom a) f(t)/t^2 dt=6x^(-3), x>0 a=? I know f(x)=-18x^(-2)

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