25,270 Answered Questions for the topic calculus

Calculus

09/13/23

Graphing Assignment

Use the graphing feature of a TI-89 calculator to find the zeros of the function f(x)=1/7x^3-2x+3 rounded to 2 decimal places.
Calculus

09/13/23

Points of Intersection

Given that f(x)=1/7x^2-2x+3 and g(x)=-1/2x+2, use the graphing feature of a TI-89 calculator to find the points of intersection, rounded to 3 decimal places.

09/12/23

Registration as a tutor

Hi,I am looking for tuition to teach, so I want to get registered as a tutor. How can I register myself?
Calculus Business

09/12/23

Cubic Cost Function

Find the cost to make 22 items using the cubic cost function 1/40x^3-1.2x^2+30x+60
Calculus

09/11/23

Suppose an equation of the tangent line to the curve y = f(x) at the point where a = 2 is y = 9x − 3.

Find f(2) Find f '(2)
Calculus Business

09/11/23

Compound Amount Question

Every year for 3 years, a person deposits $5,000 in an account which pays at a 4.5% annual interest rate compounded quarterly. After the end of the third year, the person leaves the compound amount... more
Calculus

09/11/23

Limits Calculus

Limit of function (m3-8)/(x-2) as m approaches 2.How do you go about finding limits to these types of problems where the function has two different variables?
Calculus

09/10/23

Which of the following is not one-to-one on its natural domain? 𝑔(𝑥)=7𝑥+8 𝑝(𝑥)=7𝑥3+8 𝑓(𝑥)=7𝑥 ℎ(𝑥)=7𝑥2+8

Which of the following is not one-to-one on its natural domain?𝑔(𝑥)=7𝑥+8𝑝(𝑥)=7𝑥3+8𝑓(𝑥)=7𝑥ℎ(𝑥)=7𝑥2+8
Calculus Trigonometry

09/10/23

Consider the function 𝑓(𝑥)=tan(𝑥)

Consider the function𝑓(𝑥)=tan(𝑥)Select all intervals where the function is invertible.[0,2𝜋](−5𝜋/2,−3𝜋/2)(−∞,∞)(𝜋/2,3𝜋/2)[0,𝜋](−𝜋/2,𝜋/2)
Calculus Trigonometry

09/10/23

Use the figure to identify all angles between 0 and 2𝜋 satisfying the condition.

tan(𝜃)=−√3(Give your answer in the form of a comma‑separated list. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such 𝜃 exists on... more
Calculus Math

09/10/23

A question about a decreasing rate of a change in value over time

I am running a role playing game for some friends. In it, there is a character who was born in 1943, and whose rate of aging is declining exponentially, so that by the time 80 years have passed, in... more
Calculus

09/09/23

Help with last part of the calculus question for integration formulas and the net change theorems

My daughter is having a problem getting the last part of her calculus problem. The problem is listed as:A particle moves along a straight line and its position at time t is given by... more
Calculus Precalculus

09/08/23

Model this note with the sine function, assuming that the amplitude is 1 and the phase shift is 0. Write the function in terms of x.

Sounds are how we perceive pressure waves in the air. The note F-sharp, directly below the note 'middle C', is a sound wave with an ordinary frequency* f=220 Hertz or cycles/sec. Model this note... more
Calculus Precalculus

09/08/23

What is the population of rabbits in September?

A population of rabbits is at its lowest in January (t=0) and oscillates 21 above and below an average of 149 during the year.What is the population of rabbits in September?
Calculus

09/08/23

I got 0.167950 for E_m and it says it's wrong I figured out that K=13 can someone explain why it's wrong? this is the equation E_t K(b-a)^3/12n^2 and E_m is k(b-a)^3/12n^2

Compare the actual errors in part (a) with the error estimates given by the Theorem about Error Bounds for Trapezoidal and Midpoint Rules and the Theorem about Error Bound for Simpson's Rule.... more
Calculus

09/08/23

Trignometric Limits

What is the limit of (cos^2 (x))/(1+cos2x)(2+cos2x) as x approaches pi/2

09/07/23

Given the function f, find -f(a)

-f(a) = 4x-5 / 9x+2
Calculus

09/07/23

Work in foot pounds

A force of 2 pounds is required to hold a spring stretched 0.3 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.8 feet... more
Calculus

09/06/23

Find all numbers b such that the average value of f(x)=5+10x-9x^2 on the interval [0, b] is equal to 6

Please help! This is what I've done so far but I know it's not right...I used the formula from the mean value theorem to get to 6=(1/b) times the integral from 0 to b of (5+10x-9x^2)dxthen I got to... more
Calculus

09/06/23

Consider the function f(x)=1/(x^6+1)^2.

Consider the function f(x)=1/(x^6+1)^2.Give the exact x value of a non-stationary inflection point (an inflection point which is not a critical point)
Calculus

09/06/23

An offshore oil well must be connected by pipe to the refinery. The oil-well is a distance d= 5 km off-shore.

An offshore oil well must be connected by pipe to the refinery. The oil-well is a distance d= 5 km off-shore. The refinery is on the coast, 10 km from the nearest point of land to the oil well... more

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