647 Answered Questions for the topic calc

02/23/21

An object has a constant acceleration of 40 ft/sec^2, an initial velocity of -20 ft/sec, and an initial position of 10 ft. Find the position function, s(t), describing the motion of the object.

 An object has a constant acceleration of 40 ft/sec2, an initial velocity of -20 ft/sec, and an initial position of 10 ft. Find the position function, s(t), describing the motion of the object. 
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02/21/21

What is the derivative?
Find the following derivatives.zs and zt, where z = e^(5x+3y), x=8st, and y = 2s+9tzs = ?zt = ?
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Calc Calculus

02/13/21

CALCULUS BUSINESS
Using the four-step process that we discussed in this course, find the equation of the line tangent to f(x) = −x^2 + 2x + 15 at the point (−2,7).
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02/13/21

calculus for business
USE THE FOUR-STEP PROCESS TO FIND F1(X) AND THEN FIND F1(2), F1(4), AND F1(6).F(X) = 18√x+3
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Calc Calculus

02/13/21

CALCULUS FOR BUSINESS
Based U.S. Postal Rate data from 1932-2014, the cost (in cents) to mail a single letter is modeled by the function: C(t) = 0.007714t^2 − 0.039695t+ 0.726where t is the number of years since 1932.... more
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02/12/21

Solve the equation. Round to 4 decimal places when necessary.
(1/9)^k ⋅ 27^k+4 = (1/81)^3-k
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02/12/21

PRE CALC AB - A new app was downloaded 175 times in its first week. Since then, the number of downloads increased by 16.5% each week.
A new app was downloaded 175 times in its first week. Since then, the number of downloads increased by 16.5% each week. a) Write a continuous exponential growth model to approximate the number of... more
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02/12/21

PRE CALC AB - Kale invested $1,500 in an account with an interest rate of 6.5%.

Kale invested $1,500 in an account with an interest rate of 6.5%.  a) Write an exponential equation to find the account balance in t years if the interest is compounded monthly? b) What will be the... more
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02/12/21

PRE CALC AB - A decaying radioactive ore has a half life of 1710 years.
A decaying radioactive ore has a half life of 1710 years.a) Write the exponential decay function for a 27 gram sample. b) Find the amount remaining in 3000 years.
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02/12/21

Pre-Calc AB P=1500/1+8e^0.15t
A wildlife organization released a group of animals that are an endangered species into a preserve. The equation below models the population, P, of the species t months after the initial... more
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02/10/21

find x: 3tanx = -1
solve on [0, 360)answer must be an exact value, if not round to the nearest hundredth
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02/09/21

What is the derivative?
Find the derivative of the following above equation^The final result shouldn't have I, j, or k. It should only have the variable t
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Calc Calculus

02/08/21

Find the unit tangent vector T(t) at the given value
For the parameterized curve find the unit tangent vector T(t) at the given value of tr(t) =<3 sin(2t), 13, cos(4t)>, for 0 <= t<= pi, t=pi/2T(pi/2)=?
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Calc Calculus

02/08/21

solve the following derivative the problem is \/ below
solve the following derivative the problem is \/ belowd/dt [( (3t^2)*i + sqrt(t)*(j)-6*(t)^(-1) * k)*(cos(t)i+sin(3t)j-5(t)(k))]
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02/07/21

Why is the following function discontinuous at x=0 ?
Why is the following function discontinuous at x=0?f(x)={e^x if x<0 ={x^2 if x>=0(a)  f(0) does not exist.(b)  lim x->0 f(x) does not exist (or is infinite).(c) Both (a) and (b).(d) ... more
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Calc Calculus Cal

02/02/21

Find the area of the triangle with vector?
Find the given points A, B, and C find the area of the triangle with vertices A, B, and C.A(2, 8, 3), B(9, 16, 4), C(4, 9, 4).The area is ____.
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12/17/20

Explain why that is false. Find the annual interest rate compounded monthly that is actually being charged for financing ​$17,475 with 72 monthly payments of ​$299.
The ad for a​ 4-door sedan claims that a monthly payment of ​$299 constitutes​ 0% financing. Explain why that is false. Find the annual interest rate compounded monthly that is actually being... more
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12/17/20

If payments are made at the end of each​ period, how much money will be in the account in 6 ​years?
In order to accumulate enough money for a down payment on a​ house, a couple deposits $254 per month into an account paying 6% compounded monthly. If payments are made at the end of each​ period,... more
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12/15/20

The principal P is borrowed and the​ loan's future value A at time t is given. Determine the​ loan's simple interest rate r to the nearest tenth of a percent.
The principal P is borrowed and the​ loan's future value A at time t is given. Determine the​ loan's simple interest rate r to the nearest tenth of a percent.P​ = ​$2300.00​, A​ = ​$2328.75​, t​ =... more
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12/15/20

You can afford monthly deposits of $250 into an account that pays 2.7% compounded monthly. How long will it be until you have $10,000 to buy a​ boat?
You can afford monthly deposits of $250 into an account that pays 2.7% compounded monthly. How long will it be until you have $10,000 to buy a​ boat?Type the number of​ months: ___________​(Round... more
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12/15/20

3.3 Use technology and the future value formula to find i. FV=​$7,426​; PMT=​$600​; n=9​; i=​?
Use technology and the future value formula to find i.FV=​$7,426​; PMT=​$600​; n=9​; i=​?i=_______​(Round to two decimal places as​ needed.)
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12/15/20

. Find the probability that the spinner lands on blue. Find the number of elements in event​ E, n(E), and the total number of outcomes in the sample​ space, n(S).
A circular spinner is divided into 9 sectors of equal area. There are 2 red​ sectors, 3 ​blue, 3 ​yellow, and 1 green. Consider the experiment of spinning the spinner once. Find the probability... more
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12/15/20

If one can is selected at random from the​ cooler, determine the probability that the soda selected is cola​, orange soda, or root beer.
A cooler at a picnic contains 100 cans of soda covered by ice. There are 30 cans of​ cola, 42 cans of orange​ soda, 16 cans of ginger​ ale, and 12 cans of root beer. The cans are all the same... more
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12/15/20

An experiment consists of drawing 1 card from a standard​ 52-card deck. What is the probability of drawing a black card​?

An experiment consists of drawing 1 card from a standard​ 52-card deck. What is the probability of drawing a black card​? Find the number of elements in event​ E, n(E), and the total number of... more
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12/15/20

In a family with 5 ​children, excluding multiple​ births, what is the probability of having 5 girls​? Assume that a girl is as likely as a boy at each birth.
In a family with 5 ​children, excluding multiple​ births, what is the probability of having 5 girls​? Assume that a girl is as likely as a boy at each birth.Find the number of elements in event​ E,... more
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