836 Answered Questions for the topic Calculus 1
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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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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2
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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
04/22/17
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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3
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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=________
Calculus 1 Calculus
04/22/17
find the inflection points
Find the inflection points of f(x)=8x^4+110x^3−42x^2+13. (Give your answers as a comma separated list)
Inflection Points=_______
Calculus 1 Calculus
04/22/17
evaluate the following limit
Evaluate the following limit lim [8−√x]/[8+√x]
x→∞
Calculus 1 Calculus
04/22/17
if you have 140 meters of fencing, largest area you can enclose
If you have 140 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
Area=_______
Calculus 1 Calculus
04/22/17
use newtons method to approximate the indicated root
Use Newton's method to approximate the indicated root of the following equation correct to six decimal places.The root of 2x^3−6x^2+3x+1=0in the interval [2,3].
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Calculus 1 Calculus
04/22/17
use newtons method to approximate
Use Newton's Method to approximate √10 to 6 significant figures starting with x0=3.5. Compare with the value obtained from a calculator.
√10≈________
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