25,270 Answered Questions for the topic calculus
Find the Arguments of a given Absolute-value function
a) How can I find the arguments of the absolute-value function, y=|x-2|-x. b) How can I sketch the graph with vertex indicated with the intercepts. c) what will be the range of this funtion?
Calculus
05/17/24
Derivative Application
An object is launched straight upward from a platform. Its height above ground ish(t) = h0+ v0t − 16.1t2where h is in feet and t is in seconds. The graph of h is shown below.Find both unknown...
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Calculus
05/17/24
Convert to an equation in rectangular coordinates. r= 6csc(θ)−sec(θ) (Express numbers in exact form. Use symbolic notation and fractions where needed.)
Calculus
05/17/24
Convert to an equation in rectangular coordinates. r= 6csc(θ)−sec(θ) (Express numbers in exact form. Use symbolic notation and fractions where needed.)
Calculus
05/17/24
Find the area of the intersection of the circle r=sin theta and r= 1/(3)^(1/2) cos theta
Calculus
05/17/24
Convert to an equation in rectangular coordinates. r= 6csc(θ)−sec(θ) (Express numbers in exact form. Use symbolic notation and fractions where needed.)
Convert to an equation in rectangular coordinates. r= 6csc(θ)−sec(θ) (Express numbers in exact form. Use symbolic notation and fractions where needed.)
Calculus
05/16/24
Integrating problems by hand
Integrate.Do this problem by hand (do not use the Table of Integrals).Show all of your steps.∫5 / (64+𝑥2) 𝑑𝑥= ? + CWhich strategy did you choose? u-SubstitutionPartial FractionsTrig...
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Calculus
05/16/24
Integrating problems by hand
Integrate.Do this problem by hand (do not use the Table of Integrals).∫(-18𝑥+23) / (4𝑥-3)(𝑥+4)𝑑𝑥= ? + CWhich strategy did you choose?u-SubstitutionPartial FractionsTrig substitutionintegration by...
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Calculus
05/16/24
Integrating problems by hand
Integrate.Do this problem by hand (do not use the Table of Integrals).Show all of your steps.∫6sin3(𝑥)cos(𝑥)𝑑𝑥= ? + CWhich strategy did you choose?u-SubstitutionPartial FractionsTrig...
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Calculus
05/16/24
Integrating problems by hand
Integrate.Do this problem by hand (do not use the Table of Integrals).∫16𝑥sin(𝑥)𝑑𝑥= ? + CWhich strategy did you choose?u-SubstitutionPartial FractionsTrig substitutionintegration by...
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Calculus
05/16/24
technique to integrate
Select the best technique to integrate each function.
∫𝑥𝑒𝑥𝑑𝑥
∫𝑥336-𝑥2𝑑𝑥
∫𝑥6(3𝑥+8)𝑑𝑥
∫𝑥5(6-𝑥6)3𝑑𝑥
∫𝑥+8𝑥2+9𝑥+18𝑑𝑥
Algebraic manipulation or direct integration
Substitution
Integration by parts
Trig...
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Calculus Math
05/15/24
Optimization Calculus Question Help (Thank You!!!)
You have a budget of $1,200,000 to build a storage facility. The shape of this building must be a rectangular prism with the length double the width. If the floor costs $100/m2, the walls cost...
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Calculus
05/14/24
Chain Rule Calculus 1
A skydiver jumps out of an airplane at an altitude of 3000 meters. Her height, as a function of time, ish(t) = 3300 − 54t − 300e−0.18twhere h is in meters and t is in seconds.
What is her velocity...
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Calculus Math
05/13/24
1) A water 3000 litter water tank is being filled up by the minute.
The rate at which the water is entering the tank can be described as Q′(t) = 3√t, where t is measured in minutes. a) Determine how much water will be poured into the tank within an hour. b) At what...
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Calculus Math
05/12/24
The population of endangered species is changing at a rate of P′(t) = 30 − 20t.
The population of endangered species is changing at a rate of P′(t) = 30 − 20t. The known population at the time is a community of 200. Time is represented as the variable t. a) What would the...
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Calculus Math
05/11/24
Find the derivative
Find the derivative of the equation. y=(2x4-5e-x^2)(cubic root(x2-4x+4))
Calculus Math
05/11/24
Math question
Find the integral of the function using definition of integral. b=6 a=2 (3x2-4x-1)Thank you
Calculus
05/10/24
A lidless box is to be made using 2 m^2 of cardboard. Find the dimensions of the box with the largest possible volume.
A lidless box is to be made using 2 m2 of cardboard. Find the dimensions of the box with the largest possible volume.A lidless cardboard box is to be made with a volume of 4 m3. Find the dimensions...
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Calculus
05/08/24
Horizontal tangent planes Find the points at which the following surfaces have horizontal tangent planes.
Horizontal tangent planes Find the points at which the following surfaces have horizontal tangent planes.1. x2 + 2y2 + z2 - 2x - 2z - 2 = 02. x2 + y2 - z2 - 2x + 2y + 3 = 0
Calculus Precalculus
05/07/24
What is the set of removable discontinuities of the function?
What is the set of removable discontinuities of the function j(θ) = (cos2(θ)·sin2(θ))/cot2(θ)?
Calculus Precalculus
05/07/24
What is the set of removable discontinuities of the function?
What is the set of removable discontinuities of the function j(θ) = (cos2(θ)·sin2(θ))/cot2(θ)?
Calculus
05/07/24
Use the improved Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05.
Use the improved Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05.y' = 4x − 2y + 2, y(1) = 6; y(1.5)
h =...
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Calculus Math
05/06/24
AP Calculus Question
Let P(t) represent the number of grizzly bears in a population at time t years, when t>=0. The population P(t) is increasing at a rate directly proportional to 600-P(t), where the constant of...
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Calculus Math
05/05/24
math question
A store has been selling 1000 television sets a week at $450 each. A market survey indicates that for each $10 rebate offered to buyers, the number of sets sold will increase by 100 per week. a)...
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Calculus Math
05/05/24
math question
The circumference of a sphere was measured to be 84 cm with a possible error in measurement of 0.5 cm. Use differential to estimate the maximum error in the calculated volume. What is the relative...
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