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Ap Calculus Bc Math Calculus

02/24/22

AP Calculus BC Infinite Series: Find all positive values of x for which the series... (rest of the question is in the description)

7. Find all positive values of x for which the series, ∑5xln(5n) from n = 1 to infinity, converges. No decimals, write the exact answer.

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Ap Calculus Bc

11/01/20

FRQ ore processing

On a given workday, the rate, in tons per hour, at which unprocessed ore arrives at a refinery is modeled by O (t) = 20 + 10cos(t2/25), where t is measured in hours and 0 (less than or equal to) t... more

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Ap Calculus Bc

04/16/20

A question about AP calculus BC

In finding the interval of convergence for a geometric series, is an endpoint check necessary?

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Ap Calculus Bc Calculus

02/25/19

Differentiable function

Let f be a differentiable function defined for all x>0 such that (i) f(1) = 0, (ii) f'(1) = 1 and (iii) d[f(2x)]/dx = f'(x), for all x>0. (a) find f'(2)(b) suppose f' is differentiable, prove... more

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Ap Calculus Bc Calculus

02/25/19

AP calculus BC - differentiation

For all real numbers x, f is a differentiable function such that f(-x) = f(x). Let f(p) = 1 and f'(p) = 5 for some p>0. 1) Find f'(-p)2) Find f'(0)3) If l1 and l2 are lines tangent to the graph... more

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Ap Calculus Bc

09/20/18

Given that h=17 at time=0, how do I solve the differential equation dh/dt=-1/5h^1/2 for h as a function of t

A coffeepot has the shape of a cylinder with radius 5 inches, as shown in the figure above. Let h be the depth of the coffee in the pot, measured in inches, where h is a function of time t,... more

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Ap Calculus Bc

10/23/17

True or False: if f(x) = 3^x, then f^-1(x) = ln(x)/ln(3) for all x >0

Please Justify why or why not

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Ap Calculus Bc

09/06/17

Calculate Equation of Line Tangent Given the Graph f'(x)

I'm given the graph of f'(x) which shoes a horizontal line from (10, -15) to (14, -15). The questions asks: Given f(12)=5, find the equation of the line tangent to the graph of f at x=12. How would... more

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Ap Calculus Bc Calculus Sequences Arithmetic Sequence

11/21/16

AP Calc BC Sequences question...?

If a1+a2+a3+...+a80=2012 and the sequence has a common difference of 5, what is the sum of a2+a4+a6+...+a80? I cannot figure out how to do this! Any help is appreciated (and no, I'm not allowed to... more

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Ap Calculus Bc

08/23/16

If tan x=5/2 for pi less than or equal to x less than or equal to 3pi/2 then find the following: sinx, cosx, cotx, secx, and cscx

Hint: (draw a triangle in the correct quadrant, then use pythagoren theorem to find the missing side) Please help. This is for my ap calc summer packet and i have no clue what it means

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Ap Calculus Bc Calculus Ap Calculus Calculus Bc

07/20/16

Use the intermediate value theorem to prove that the equation x^3=x+8 has at least one solution

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Ap Calculus Bc Calculus 2 Calculus 1

10/17/15

Find the centroid of the region bounded by the given curves y= 8 sin 2x and 8 cos 2x from x=0 to x= pi/8

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Ap Calculus Bc L'hopital Calculus 2

09/06/15

lim x-> infinite x*[lnx - ln(x-3)]

Working on my calc bc homework and mildly stumped by this problem. I know that when graphed the answer is 3, but I need to get it into a form where I can use L'Hopital's rule and work it out.

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Ap Calculus Bc

12/04/14

What is the limit as x approaches 0 of ( f(x^2+3x) divided by sin(x) ) ? Given that…(see description)

GIVEN: f(x) is a differentiable function with the properties that the limit as x approaches 0 of f(x^2+3x) is 0 and the limit as x approaches 0 of f'(x^2+3x) is 4

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Ap Calculus Bc Applications Of Integrals

12/01/13

Let R represent the area in Quadrant IV bounded by f(x)=x^3-4x and g(x)=0.

Find the area of R. Find the volume of the solid generated by revolving R around the x-axis. Find the average value of f(x) over the interval [-3, -2].

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