647 Answered Questions for the topic calc

02/06/17

Use differential equation and given point to find f(x)
Use the differential equation and the given point to find f(x).    dy/dx= (-48)/(3x+5)^2             Point: (-1,3)
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Calc

09/17/16

Solving limits without hopital rule
Hi, I need help understanding how to solve for:    a) lim as x tends to 0 (sin|x|)/(x)    b) lim as x tends to 0 (sinx)^3/ x^2
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05/03/16

find the equation of the line through the point (3,5) that cuts off the least area from the first quadrant.
find the equation of the line through the point (3,5) that cuts off the least area from the first quadrant.
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Calc

05/01/16

calc class e
a swimming pool is holding 5300 gallons of water in it. a system is set up to increase the pool water by 16% per hour. how fast is the pool filing up when it has 18300 gallons in it
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02/15/16

Migratory birds fly north past a check-point at 300-300cos(pi(t)/6) birds per month. t= number of months since the beginning of the year.
A. Find the total number of birds for the year. B. When are the birds migrating the fastest. C. When is the migratory rate increasing the fastest?
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Calc

12/14/15

Does the following series converges or diverges?
∞∑ (n2-3n+5)/(n3+4n-1)n=1
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Calc

12/06/15

Does the following series converges or diverges?
∞ ∑ (n2-3n+5)/(n3+4n-1) n=1
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Calc

12/06/15

Series converges or diverges
∞ ∑ (2n+3)/(n2+3n+1) n=0
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11/22/15

find domain, range, max, min, inc, dec, con cavity, abs max min
F(x)=2x4-3x3-10x2+20, find domain, range, maximum, minimum, increasing, decreasing, concavity, inflection points, absolute max/min?
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11/17/15

Find the relative extrema
Find the relative extrema for f(x)=2sin2 x-cos2x on the interval [0,2π]. Also find the x coordinates of the inflection points of f(x) on this interval. Give the intervals where the function is... more
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Calc

10/31/15

Calculus Help
I need this question solved and I am stuck.  Let f(x)=2x+1−11e^x. Then the equation of the tangent line to the graph of f(x) at the point (0,−10) is given by y=mx+b. solve for m and b
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Calc

09/28/15

1) Given that f(x)=x^9h(x) h(-1)=2 h'(-1)=5 Calculate f'(-1).
HELP PLEASE
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Calc

09/13/15

use the definition find derivative
f(x)=(2x)/(3+x)   please explain by steps
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Calc

09/13/15

use the definition find derivative
f(x)=√(5-2x)   please explain how to get there
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08/23/15

True or false. If true, why? If false, what is a counter example, and can you explain why it contradicts? Please
If f and g are differentiable and f(x)≤ g(x) on [a,b], then f'(x)≤g'(x) on [a,b]
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08/23/15

True or false. If true, why? If false, what is a counter example, and can you explain why it contradicts? Please
If f and g continuous function on [a,b] then (upper: b, lower a)∫f(x)g(x)dx=[(upper: b, lower a)∫f(x)dx]*[(upper: b, lower a)∫g(x)dx].
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08/23/15

True or false. If true, why? If false, what is a counter example, and can you explain why it contradicts? Please
If F(x)= (upper: x, lower: 0) ∫√(t3+1)dt  then  F'(2)=3
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08/23/15

find the volume of the solid obtained by rotating the region bounded by xy=4 and y=(x-3)^2 about the x-axis.
finding the volume of the solid
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08/23/15

the region bounded by y=0 and y=kx-x^2 is revolved around the y-axis to form a solid whose volume is 10.
what are the exact possible values of k? Hint: use cylindrical shells
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08/23/15

exact solution to differetial equation
dy/dy+xy=x , y(0)=1/2
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08/23/15

exact solution to differential equation
y'=y , y(2)=3
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08/23/15

exact solution to differential equation
y'= (3-x)/xy  , x>0, y(1)=2
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08/23/15

the area of the region bounded by y=x^2 and y=x is________.
a. 1/6 b. 1/3 c. 1/2 d. 5/6 e. 1
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08/22/15

Consider the region, R, bounded by the x-axis, the y-axis, and the graphs of the equations y=1/(x^2+1) and y=lnx
Find the area of the region R. a. 5.497 b. 1.483 c. 0.879 d. 0.013
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08/22/15

Suppose we have a rod that is 6 meters long, with density function p(x)=2x+3. What is the center of the mass of the rod?
¯x= 11/3 ¯x= 8/3 ¯x= 14/3 ¯x= 4/3 none of these
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