25,270 Answered Questions for the topic calculus
Calculus
11/03/23
Determine a region whose area is equal to the given limit. Do not evaluate the limit.
lim (n→∞)n, i=1Σ(√3/n√(1+3i/n)
Calculus
11/03/23
Use A=lim(n→∞)Rn=lim(n→∞)[f(x1)Δx+...f(xn)Δx] to find an expression for the area under the graph of f as a limit. Do not evaluate the limit.
(2x)/(x2+1), 1≤x≤3The area of the region that lies under the graph of the continuous function, f, is the limit of the sum of the areas of approximating rectangles....
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Calculus
11/03/23
The graph of f' is shown in the figure. Sketch the graph of f if f is continuous on [0,3] and f(0)=1.
A bicycle with 24-inch diameter wheels is traveling at 20 mi/h. Find the angular speed of the wheels in radians per minute.
A bicycle with 24-inch diameter wheels is traveling at 20 mi/h. Find the angular speed of the wheels in radians per minute.
How many revolutions per minute do the wheels make?
Explain the differences between linear speed and angular speed when describing motion along a circular path. (Select all that apply.)
Linear speed is the distance traveled over time.
Linear speed is always greater than angular speed.
Linear speed can be measured in miles per hour.
Linear speed can be measured in degrees.
Angular...
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There is lightning rod on the top of a building. From a location 650 feet from the base of the building, the angle of elevation to the top of the building is measured to be 40°.
There is lightning rod on the top of a building. From a location 650 feet from the base of the building, the angle of elevation to the top of the building is measured to be 40°. From the same...
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Calculus
11/03/23
Determine the values of x for which this series.
Determine the values of x for which the series converges (this is a geometric series.)
Calculus
11/03/23
I cant figure out how to do figure out this sequence since it has factorials in it.
Determine is the given sequence is monotonic.
Calculus
11/02/23
I have absolutely no clue how to find a reduced fraction. Could i please get some help!!! Thank you!!!
Find the reduced fraction which has the decimal expansion
Calculus
11/02/23
I can not figure out how to find the exact sum of series, and I can't find much information online.
The question is:Find the exact sum of the series
Calculus
11/02/23
Calculus Hw Problems
(a) Ornithologists have determined that some species of birds tend to avoid flights over large bodies of water during daylight hours. It is believed that more energy is required to fly over water...
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Calculus
11/02/23
Evaluate the Limit
Evaluate the limit below, given that f(t) = (( 2^t+4^t)/5 )^1/t for t does not equal 0 lim t approaching positive infinity f(t) =
Calculus
11/02/23
find the following for the functions
Answer the following questions of the function f(x)=xsqrtx^2+25 on interval [-6,4]a. f(x) is concave down b. f(x) is concave up c. the minimum of the function occurs at d. The maximum of this...
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Calculus
11/02/23
find the following questions
Consider the function f(x) = e^x /4+e^x . compute the derivative of this function f'(x) = a) f(x) is increasing on b) f(x) is decreasing on c) f(x) has a local minimum d) f(x) has a local maximum...
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Calculus
11/02/23
find a and b constants
find the constants a and b in the function f(x) =(ax^b)/ln(x) such that f(1/2) = 1 and the function has a local minimum at x=1/2. a= b=
Calculus Math
11/02/23
Find a power series representation for the function; find the interval of convergence. (Give your power series representation centered at x = 0.)
Find a power series representation for the function; find the interval of convergence. (Give your power series representation centered at x = 0.)f(x) = (x^2+1) / (6x-1)The answer blanks for this...
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Calculus Math
11/02/23
Fina power series representation for the function
Fina power series representation for the functionf(x) = ln(1-3x)Could you walk me step by step how to solve this problem? I'm struggling trying to get the right answer.
Calculus
11/01/23
Based on a sample of 200 people, 65% owned cars. What is the test statistics and p value
The test is two tailed and failed to reject the null hypothesis
Calculus
11/01/23
Calculus 1 4.5 HW problems.
(a) Ornithologists have determined that some species of birds tend to avoid flights over large bodies of water during daylight hours. It is believed that more energy is required to fly over water...
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11/01/23
Let f (t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid dissolves in such a way that the ROC (in grams/min) of the weight of the solid at any time 't'
Let f (t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid dissolves in such a way that the rate of change (in grams/minute) of the weight of the solid at...
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11/01/23
Let y = 3 * sqrt(x). Find the change in y, or delta (y) when x = 4 and delta (x) = 0.2. Find the differential 'dy' when x = 4 and dx = 0.2
Let y = 3 * sqrt( x )a) Find the change in y (delta y) when x = 4 and the change in x (delta x) = 0.2b) Find the differential 'dy' when x = 4 and 'dx' = 0.2
Calculus Math
11/01/23
The circumference of a sphere was measured to be 89cm with a possible error of 0.5cm. Use linear approximation to estimate the maximum error in the calculated surface area.
I understand that linear approximation is f(a)+f'(a)(x-a). I know that the surface area is 2pir^2. I can't seem to puzzle together how everything fits. Can somebody explain HOW to solve this...
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