25,270 Answered Questions for the topic calculus

Calculus

09/05/23

half life of element x

Element X has a​ half-life of  7 days.  If we currently have a 26 ounce sample of Element​ X, how long will it be until only 3 ounces​ remain?ROUND YOUR ANSWER TO 2 DECIMAL PLACES.After about enter... more
Calculus

09/05/23

average running speed of the train

If the average running speed of an amateur athlete​ (in miles per​ hour) after training for t days is given by S(t)=0.37lnt+11.6​, then answer the following. ROUND YOUR FINAL ANSWERS TO 2 DECIMAL... more
Calculus

09/05/23

population question calculus

A population of bacteria follows the continuous exponential growth model  P(t)=P0ekt​, where t is in days. The relative​ (daily) growth rate is 4​%. The current population is 909.​A) Find the... more
Calculus Linear Algebra

09/05/23

Consider the two lines L1: x = -2t, y = 1 + 2t, z = 3t and L2: x = -9 + 5s, y = 3s, z = 4 + 2s. Find the point of intersection of the two lines.

This is a question I worked with a student during a tutoring session.When working with me as your tutor, I not only show you how to solve the problems, I leave you with a detailed PDF file to... more
Calculus

09/03/23

Finding average of intervals

My daughter has worked this problem and thinks she has the answer figured out but the online assignment isn't accepting her answer as being correct. Can someone please verify her work and point... more
Calculus

09/03/23

Find the first six terms of each of the following sequences, starting with n = 1.

Find a formula an for the nth term of the geometric sequence whose first term is a1 = 1, such that (an + 1 / an) = 10 for n ≥ 1.Find a function f(n) that identifies the nth term an of the following... more
Calculus

09/03/23

Find a formula C(x, y, z) that gives the cost of materials for the closed rectangular box, with dimensions in feet. Assume that the material for the top and bottom costs $3 per square

Find a formula C(x, y, z) that gives the cost of materials for the closed rectangular box, with dimensions in feet. Assume that the material for the top and bottom costs $3 per square foot and the... more
Calculus Math Precalculus

09/02/23

Answer whether if its polynomial or non-polynomial

g(x) = 6√xh(x) = -x2 + 6x6u(x) = 1/x5 - 8x9 + 5v(x) = 2x(x-1)2(x+3)
Calculus

09/02/23

calculus helppp

Find the area between the curves   f(x)=x2  and ​ g(x) = ax. ​ (Assume a​ > 0)​(Hint: Your answer will be in terms of​ a.)The area is
Calculus

09/02/23

area betw curves and avg value 20.7

The population of a town t years after the beginning of the year 2000 is given by ​P(t) = 5417e0.029t Find the AVERAGE population of the town from the beginning of the year 2002 to the beginning... more
Calculus

09/02/23

calculus help..

Given that g'(x)=12x2-9 and g(-7)=40, find g(x)
Calculus

09/02/23

basic integrals

A stone is thrown from the top of a tall cliff. Its acceleration is a constant​ (-32) ft/sec2  ​(So A(t)​ = -32). Its velocity after 2 seconds is (27) ft/sec​, and its height after 2 seconds is 214... more
Calculus

09/02/23

basic integrals

During 21 weeks at the height of an influenza​ outbreak, the rate at which the number of cases of infection changed could be approximated by I′(t)=−6.34t+142.3​, where I is the total number of... more
Calculus

09/02/23

basic integrals

Find f such that f′(x)=8x−9​, f(9)=0.F(x)=
Calculus

09/02/23

calculus........

The height of a cylinder is increasing at a rate of 7 inches per​ second, while the radius is decreasing at a rate of 4 inches per second. If the height is currently 57 ​inches, and the radius is... more
Calculus

09/02/23

calculus word problem

A box​ (with no​ top) will be made by cutting squares of equal size out of the corners of a 31 inch by 60 inch rectangular piece of​ cardboard, then folding the side flaps up. Find the maximum... more
Calculus

09/02/23

calculus .......

Minimize the function  M=3x2+3ysubject to  2x+y=32 and 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 ___
Calculus

09/02/23

How do I find a specific tutor

I am looking for a specific tutor
Calculus

09/01/23

Limits -- Calculus

Find the limit of the function f(x) = (sqrt(x^2-4x+4)/x-2) as x approaches 2.
Calculus

08/31/23

exponential decay 15.4

A body was found in the basement of the Underwater Basket Weaving Building at​ 12:00 noon​ today, where the temperature is a steady 65 degrees Fahrenheit. When​ found, the core temperature was 91.3... more
Calculus

08/31/23

exponential decay 15.2

Element X has a​ half-life of  11 days.  If we currently have a 21 ounce sample of Element​ X, how long will it be until only 9 ounces​ remain?ROUND YOUR ANSWER TO 2 DECIMAL PLACES.After about... more
Calculus

08/31/23

exponential decay 15.1

A mummy was recently discovered. It now contains 65.3​% of its original Carbon 14.About how old is the mummy. Assume that the​ half-life of Carbon 14 is 5730 years.ROUND YOUR ANSWER TO THE NEAREST... more
Calculus

08/31/23

Water is leaking out of an inverted conical water tank at a rate of 12,000 cm3/min at the same time that water is being pumped into the tank at a constant rate.

Water is leaking out of an inverted conical water tank at a rate of 12,000 cm3/min at the same time that water is being pumped into the tank at a constant rate.The tank has height H=18�=18m and the... more
Calculus

08/31/23

Evaluate the function at each value of the independent variable

finding the square root of x^2 +25 at f(-5), f(6), f(5), and f(x+bx)

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