807 Answered Questions for the topic Calculus 1
Calculus 1
01/12/18
find sin[tan^-1{csc(cot^-1 x)}] in terms of x
How do I find this trigonometric function. I have to find the find sin[tan^-1{csc(cot^-1 x)}] in terms of x
Calculus 1 Calculus
01/10/18
Evaluate the function at the given value of the independent variable. Simplify the results.
f(x)=x^3
(f(x+Δx)+f(x))/Δx (Δx≠0)
Calculus 1
12/27/17
use the intermediate value theorem to identify an interval
use the intermediate value theorem to identify an interval where the equation sinx- x^2= 0 has a non-zero solution
Calculus 1
12/18/17
Find the instantanueous rate of change of f(x)=e^x-1/x at x=3
a. 2e3+1/9
b. e3+1/9
c. e3-9
d. 2e3-9
Calculus 1
12/18/17
evaluate the limit, given that f(x)=x^3 -2 square root of x
lim h→0 f(x+h)- f(x)/h
a. 3x2-1/2√x
b. 3x2-1/√x
c. 3x2+1/2√x
d. 3x2+1/√x
Calculus 1
12/18/17
What value of k ensures that the equation f(x)=6 has two solutions?
x 0, 1, 2
f(x) 1, k, 2
Calculus 1
12/18/17
What vaue of k makes f(x) continous at x=0?
f(x)={k(x2+7) for x>0 5+x for x<0
a. 7/5
b. 7
c. 5/7
d. 5
Calculus 1
12/17/17
The volume, V, of a cone with height, h, and radius, r, of its base can be found by: V=1/3(pi)*r^2*h.
Find the maximum possible volume if h+r=3. (Leave your answer in terms of pi)I'm really stuck on this question. Any help would be appreciated! Thanks.
Calculus 1
12/14/17
Calculus help
Provide the critical numbers and describe the open intervals for which the following function is increasing and decreasing:
f(x)=2x3+3x2-12
Calculus 1
12/14/17
Calculus problem help
Determine the absolute maximum and minimum y value for the following function on the closed interval [0, 64]:
f(x)=3√x^2 -(x/3)
Calculus 1
12/14/17
Calculus problem
The radius of a circular oil spill on the surface of the ocean is growing a rate of 2 cm / s. Determine the rate at which area is being consumed by the oil spill when a) r = 10 cm, and later when...
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Calculus 1
12/13/17
Calc problem
Determine the derivative of the following function:
f(x)=[ln abs sin(x^2) ]^3
Calculus 1
12/13/17
Calculus problem help
Determine the equation of the line in slope-intercept form which is both tangent to the curve f(x) and parallel to the line provided:
f(x)=2x2+3x+1 Line:4x+4y=12
Calculus 1
12/13/17
Calculus help
Find the derivative of the following function using the limit method.
f(x)=2x2+x
Calculus 1
12/13/17
Calculus help
For the following piecewise defined function, evaluate the specified one-sided limts:
f(x)=x2+2x, x≤1
x+3, x>1
Find lim
x→1-
lim
x→1+
...
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Calculus 1
12/13/17
Calculus help
For the following function, identify the discontinuities and indicate whether they are removable or non-removable:
f(x)=(2x-8)/(x2-7x+12)
Calculus 1
12/13/17
Calculus help
Determine the following limit by either removing the “offending” factor or usingL’Hopital’s Rule:
lim x2+3x-28
x→4 x2-x-12
Calculus 1
12/13/17
Calculus help
Rewrite the equation of the circle given in general form into standard form and provide the coordinates for the center and the measurement of the radius:2x2+2y2-12x+8y+20=0
Calculus 1
12/13/17
A bucket that weighs 4 lb is lifted vertically at a constant rate of 2 ft/sec by means of a rope of negligible weight. As the bucket rises, water leaks out at a
A bucket that weighs 4 lb is lifted vertically at a constant rate of 2 ft/sec by means ofa rope of negligible weight. As the bucket rises, water leaks out at a rate of 0.2 lb/sec. If thebucket...
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Calculus 1
12/13/17
Find the average value of f(x)=(x-3)^2 on [2,5]
A) Find the average value of f(x)=(x-3)^2 on [2,5]
B) Find c such f average=f(c)
C) Sketch the graph of f and a rectangle whose area is the same as the area under the graph of f
Calculus 1
12/13/17
Air is being released from a spherical balloon at a rate of 100cm^3/sec.
Air is being released from a spherical balloon at a rate of 100cm^3/sec. Which of the following is the instantaneous rate at which the radius of the balloon is changing when the radius is 5 cm (The...
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Calculus Question
Consider the definite integral ∫13 (-4x-5)dx Find a closed form expression for the nth right Riemann sum of this integral.
4 ...
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Calculus 1
12/05/17
G (X) = x + 32/ x^2. what is relative minimum of G. what concavity is all values of x except zero
Calculas HELP
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