25,270 Answered Questions for the topic calculus

05/20/24

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... more
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... more
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... more
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... more
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... more
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... more
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... more
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... more
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... more
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... more
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... more
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 =... more
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... more
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)... more
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... more

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