844 Answered Questions for the topic Calculus 1
Calculus 1 Differential Equations
05/23/17
What's the general solution for this differential equation?
Dy/DX+3/x y=2x+5
Calculus 1
05/23/17
If the graph of f ′(x) has an x-intercept at x = c, which of the following must be true?
If the graph of f ′(x) has an x-intercept at x = c, which of the following must be true? The graph of f has a relative minimum or relative maximum at x = c. The graph of f has an inflection point...
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Calculus 1
05/22/17
A chef is going to use a mixture of two brands of Italian dressing.
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 8% vinegar, and the second brand contains 13% vinegar. The chef wants to make 200 milliliters of a...
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Calculus 1
05/15/17
Related Rates
You are sitting on the ground 50 meters from a firework display and are currently watching a bottle rocket fly straight up into the sky at a rate of 40 m/s. How fast must you tilt your head up in...
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Calculus 1
05/12/17
simplify the difference quotient
f(x)-f(a)/x-a
for the given function f(x)=4-3x-x^2
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Calculus 1
05/12/17
simplify the difference quotient
f(x+h)-f(x)/h
for the given function f(x)=19/x
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Calculus 1
05/12/17
simplify the difference quotients
f(x+h)-f(x)/h
for the given function f(x)=4x-2
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Calculus 1 Functions
05/12/17
simplify the difference quotients
f(x+h)-f(x)/h and f(x)-f(a)/x-a for the following function by rationalizing the numerator.
f(x)=sqr rt of x^2-8
Calculus 1 Slope Function
05/12/17
determine the slope function of f(x)=|8x|????
select and fill out the correct choice below and fill in the answer
A. the slope function is s(X)=???
B. and the slope function is the piecewise function s(X)=........x>........ and...
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Calculus 1
05/08/17
AP Calculus Integration Question
The question is to integrate from 0 to 1 (3x-2)^2 dx. At first I got (1/9)(3x-2)^3 and then substituted in 1 to get 1/9 as the answer but for some reason this answer is incorrect. When I checked...
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Calculus 1
05/03/17
Which of these integrals is larger, why?
The integrals are
a) ∫(.5,0) cos(x^2) dx (consider .5 the top number for the integral and 0 the bottom number.)
b) ∫(.5, 0) cos(x1/2 ) dx
Calculus 1
05/03/17
Use differential to estimate the maximum error in the calculated a) surface area ; b) volume?
The circumference of a sphere was measured to be 84 cm with a possible error of .5mm.
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Calculus 1 Calculus
05/03/17
Use washers to find the volume formed by rotating the region enclosed by: y=1.4−2|x−13| and y=0 about the y-axis
Use washers to find the volume
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Calculus 1 Calculus
04/23/17
how fast if the radius increasing
Helium is pumped into a spherical balloon at a rate of 5 cubic feet per second. How fast is the radius increasing after 2 minutes? Rate of change of radius (in feet per second) =
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Calculus 1 Calculus
04/23/17
evaluate the definite integral
Evaluate the definite integral (if it exists)
2
∫ −1x(√x-1) dx1
Calculus 1 Calculus
04/23/17
evaluate the definite integral
Evaluate the definite integral
a
∫−2x√(x^2+a^2) dx
-a
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Calculus 1 Calculus
04/23/17
list the critical number of the following function
List the critical numbers of the following function in increasing order. Enter N in any blank that you don't need to use.G(x)=^3√3x^2-3x The square root is over...
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Calculus 1 Calculus
04/23/17
evaluate the given indefinite integrals
Evaluate the given indefinite integrals.
a) ∫ a dx=_____+C
b) ∫ t^2 dx=_______+C
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Calculus 1 Calculus
04/23/17
find f' using the definition of derivative
If f(x)=1x+2, find f′(−5), using the definition of derivative. f′(−5) is the limit as x→_____ of the expression __________
The value of this limit is _________
Calculus 1 Calculus
04/22/17
oil spilled from a ruptured tanker
Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 9 mi^2/hr. How rapidly is radius of the spill increasing when the area is 9 mi^2?
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Calculus 1 Calculus
04/22/17
the top of a 17 foot ladder
The top of a 17 foot ladder, leaning against a vertical wall, is slipping down the wall at the rate of 4 feet per second. How fast is the bottom of the ladder sliding along the ground when the...
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Calculus 1 Calculus
04/22/17
find dy/dx in terms of x and y
Find dy/dx in terms of x and y if ^4√x=3√y.
dy/dx=_____
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Calculus 1 Calculus
04/22/17
find the derivative of
Find the derivative of f(x)=√[6−sinx/2−cosx] The square root is over everything.
f'(x)=____
Calculus 1 Calculus
04/22/17
find all critical points of the function
Find all critical points of the function f(x)=x^3+7x^2−7x−3. If there is more than one critical point, list them in descending order and separate them by commas.
Critical points=________
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