25,270 Answered Questions for the topic calculus

Calculus Math Precalculus

08/30/23

Simplify your answer as much as possible.
(x+6 / 2x-10) - (x+5 / 3x - 5)I separated them with parenthesis to avoid confusion.
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Calculus

08/30/23

Average rate of change
A train travels from city A to B and then to city C. Do you distance from A to B is 60 miles in the distance from B to C is 220 miles. The average speed from a to B is 60 mph and the average speed... more
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Calculus

08/29/23

optimization 10.3
Drum Tight Containers is designing an​ open-top, square-based, rectangular box that will have a volume of 1687.5 in.^3. What dimensions will minimize surface​ area? What is the minimum... more
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Calculus

08/29/23

optimization 10.2
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 15 in. by 9 in. by cutting congruent squares from the corners and folding up the sides.... more
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Calculus

08/29/23

optimization....
Minimize the function  M=4x^2+4y^2  subject to  2x+y=32and find the values of x and y at which M is minimized.The minimum value of M is ___and it occurs when x is ____and y is ____
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Calculus

08/29/23

exponential decay 14.3
A virus is spreading across an animal shelter. The percentage of animals infected after t days is given by   V(t)=100/1+99e^−0.144t.​A) What percentage of animals will be infected after 14... more
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Calculus

08/29/23

exponential decay 14.2
At the beginning of the year​ 1995, the population of Townsville was 3154. By the beginning of the year 2010​, the population had reached 4684. Assume that the population is growing​ exponentially,... more
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Calculus

08/29/23

exponential decay 14.1
A population of bacteria follows the continuous exponential growth model  P(t)=P0e^kt​, where t is in days. The relative​ (daily) growth rate is 3.5​%. The current population is 483.​A) Find the... more
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Calculus

08/29/23

calculus for life science absolute max and min 9.10
Find the absolute maximum and minimum values of each​ function, if they​ exist, over the indicated interval. Also indicate the​ x-value at which each extremum occurs.​f(x)=8/3x^3−25/2x^2+3x+1​;... more
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Calculus

08/29/23

calculus for life science absolute min and max 9.2
Find the absolute maximum and the absolute minimum value of f(x)=3x^4−8x^3+8.Enter​ "NA" in any answer box when no such answer exists.​(ROUND YOUR ANSWERS TO 3 DECIMAL PLACES​.)The absolute maximum... more
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Calculus

08/29/23

calculus for life science absolute max and min 9.1
Given the function  g(x)=x^2+4/4x use the Extreme Value Theorem to find the following.Find the absolute maximum value of​ g(x) over the interval​ [1, 10].​(Note: This is a single​ value, NOT an... more
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08/29/23

How do I venn diagram (A∩B) U B’
How do I venn diagram (A∩B) U B’Should I shade first the intersection of a and b, then shade again the b complement? (Cause in the intersection I shaded the B area which should not be shaded in b... more
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Calculus Math

08/28/23

average value of a function
could someone walk me through how to do this type of problem?find the two values of c in (-pi/4, pi/4) such that f(c) is equal to the average value of f(x) = 2cos*2x) on (-pi/4, pi/4)
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Calculus

08/28/23

limits to infinity
lim x-> infinity (4-2x^2)/(2e^x)lim x-> infinity (sqrt3x^6-x^3)/(7x^3+1)for this one I got DNE? i first factored the top to absolute value x^3(3x^3-1) all over 7x^3+1. then set two equations... more
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Calculus Precalculus

08/28/23

How many minutes of the ride are spent higher than 54 meters above the ground?
 A Ferris wheel is boarding platform is 5 meters above the ground, has a diameter of 76 meters, and rotates once every 6 minutes.How many minutes of the ride are spent higher than 54 meters above... more
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Calculus

08/27/23

Find dy/dx by implicit differentiation. (sin 𝜋x + cos 𝜋y)^5 = 67
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Calculus Precalculus

08/27/23

What is the population of rabbits in June?
A population of rabbits is at its lowest in January (t=0) and oscillates 15 above and below an average of 147 during the year.What is the population of rabbits in June?
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Calculus Precalculus

08/27/23

Assuming t is the number of hours since midnight, find an equation for the temperature, T, in terms of t.
The temperature during the day can be modeled by a sinusoid. Answer the following question given that the low temperature of 17 degrees occurs at 3 AM and the high temperature for the day is 45... more
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Calculus Precalculus

08/27/23

How many minutes of the ride are spent higher than 23 meters above the ground? Round to two decimal places.
The boarding platform of a Ferris wheel is 5 meters above the ground and the Ferris wheel is 26 meters in diameter and spins once every 9 minutes.How many minutes of the ride are spent higher than... more
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Calculus

08/27/23

If f(x) = 50 + 4 x + 14 and g(x) = 2x2 + 59, compute the composition (f ∘ g)(2).
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Calculus Precalculus

08/27/23

These 3 points are on a parabola defining the edge of a ski: (-4,1) (-2,0.94) (0,1)
These 3 points are on a parabola defining the edge of a ski:(-4,1)(-2,0.94)(0,1)1. Use the x- and y-values of 1 to build a linear equation with 3 variables: A, B, and C. Repeat this process with... more
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Calculus Precalculus

08/27/23

Given the magnitude and direction of a vector, find its components.
|v| = 5.10; (theta) = 168.69Given the magnitude and direction of a vector, find its components.
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Calculus

08/27/23

Find the volume of the region bounded by y=e^-x, y=1, and x=3 about the line y=2
I mainly think I am setting up the integral wrong because of the line it is rotating about.
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Calculus

08/27/23

Calculus II problem with integrals
This is for my daughter. She got all but this one and I am no help.Find integral of (7sec^2(t)-7t^3)dxI appreciate the help with this.
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Calculus Math

08/27/23

Find the arc length of the given curve between the specified points.
Y= x^3/12 + 1/x from *1, 13/12) to (4, 67/12)x = t x' = 1y = t^3/12 + 1/t y'= x^2/4 - 1/x^2integral sign upper bound 4 lower bound 1 sqrt( 1 + (x^2/4 - 1/x^2)^2integral sign upper bound 4... more
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