807 Answered Questions for the topic Calculus 1

Calculus 1

11/19/17

The velocity function (in meters per second) for a certain particle, moving in a straight line, is v(t)=t^2-2t-8

The velocity function (in meters per second) for a certain particle, moving in a straight line, is v(t)=t^2-2t-8 for 1≤t≤6   A) Find the displacement of the particle over this period   B) Find... more
Calculus 1

11/18/17

i don’t understand how to do doubling

The count in a bacteria culture was 300 after 10 minuets and 1900 after 30 minuet. assuming the count grows exponentiall,  what is the initial siz of the cultur?, find the doubling perio?, find the... more
Calculus 1

11/16/17

Find Formula

The rate of growth of sales (sales per day) for a particular company is predicted to be 45e0.01t, beginning with sales of 800 items on day t = 0.Find a formula for the total number of sales in the... more
Calculus 1

11/15/17

How do you do this problem?

a rectangular prism with dimensions l*w*h is expanding its length and width by4m/min and 3m/min respectively, while keeping the height the same how fast is the volume of the prism changing when its... more
Calculus 1

11/14/17

Question 1 : Given that q(x) is a differentiable function , q'(4)=0 and q"(x)=-2x+9, then q(4) is ...

Question 1 : Given that q(x) is a differentiable function , q'(4)=0 and q"(x)=-2x+9, then q(4) is ...**Explain and justify your answer.**Question 2: Water is being poured at a steady rate into a... more
Calculus 1

11/14/17

Each side of a square is increasing at a rate of 8 cm/s. At what rate is the area of the square increasing when the area of the square is 9 cm2?

Each side of a square is increasing at a rate of 8 cm/s. At what rate is the area of the square increasing when the area of the square is 9 cm2?
Calculus 1 Optimization

11/13/17

Optimization question

A baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $9 the average attendance has been 27000. When the price dropped to $8, the average attendance rose to... more
Calculus 1

11/13/17

find function

Find a function f(x) such that f′(x)=-2x2-1 and f(0)=1   f(x)= 
Calculus 1

11/12/17

Calculus Problem

let xy=4 and (dy/dt)=1 . find (dx/dt) when x=2 f(x)= ?
Calculus 1

11/12/17

find function

Find a function f'(x)=8ex-9x and f(0)=3   f(x)= ?
Calculus 1

11/10/17

Find the most general function F such that \displaystyle F'(x) = \frac{7}{\sqrt[3]{x}} - 6 \sqrt[3]{x^2}.

calc 1 pls answer asap 
Calculus 1 Limits

11/08/17

Find the limit as x approaches pi/2 from the left of

(tanx/7)/(2x-pi)
Calculus 1

11/07/17

A hot air balloon rising vertically problem

A hot air balloon rising vertically is tracked by an observer located 4 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is pi/3... more
Calculus 1

11/05/17

Optimization calculus 1

A cylinder is inscribed in a right circular cone of height \displaystyle 11 inches and radius (at the base) equal to \displaystyle 6 inches. What are the dimensions of such a cylinder that has... more
Calculus 1

11/05/17

Find the point on the line -6 x + 5 y - 6 =0 which is closest to the point ( 4, 5 ).

 please help answer asap
Calculus 1

11/04/17

find the local max and min values of f(x)=xsinx+cosx

find the local max and min values of f(x)=xsinx+cosx for -pi≤x≤pi   I am so stuck at how to figuring out the sign, which is important. I did take the derivative xcosx=0  then x=0 and... more

11/02/17

Consider the curve C given by the equation

Consider the curve C given by the equation: C · · · √ x + √ y = √ a, where a is a constant, a > 0. Let (x0, y0) with x0 > 0, y0 > 0, be a point on C. If (x1, 0) and (0, y1) are x and y... more
Calculus 1

11/01/17

Sketch the graph y=xradical4-x^2 Not allowed to use graphing calculator

y=xradical4-x^2     Notes: 4-x^2 is all under radical     Not allowed to use graphing calculator. I am supposed to figure out how the graph is going to be by the "domain, intercepts, asymptotes,... more
Calculus 1

11/01/17

sketch the graph y=x/(x-1)^2

ketch the graph y=x/(x-1)^2   Not allowed to use graphing calculator. I am supposed to figure out how the graph is going to be by the "domain, intercepts, asymptotes, intervals of... more
Calculus 1 Calculus

10/30/17

What is dy/dx when y = 2/(x^4) + 6e^x - 5sin(x)

 What is dy/dx when y = 2/(x^4) + 6e^x - 5sin(x)
Calculus 1

10/28/17

calculus problem

The weight of a great white shark, W pounds, is given approximately by W=0.6x^3, where x is the length of the shark in feet. Suppose that a baby shark is growing at the rate of dx/dt= 0.4... more
Calculus 1

10/28/17

calculus problem

The period T of oscillation (in seconds) of a simple pendulum of length L (in feet) is given by T=2pi sqrt L/32. What is the rate of change of T with respect to L when L= 4 ft?
Calculus 1

10/24/17

Given xradicalx+1 find the intervals on which f is increasing or decreasing, the local maximum and minimum values, the intervals of concavity and the inflect

Given  xradicalx+1   find the intervals on which f is increasing or decreasing, the localmaximum and minimum values, the intervals of concavity and the inflection points. Sketch the... more

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