836 Answered Questions for the topic Calculus 1

Calculus 1

02/26/17

What way should I solve this?

A running coach is watching his star sprinter at a linear speed of 8 meters per second around a circular track. The coach is OUTSIDE the track, a total of 65 meters from the center. How fast is the... more
Calculus 1

02/08/17

What interval contains x=0 where f(x)=16x-tan(x) is increasing

Find the interval containing x=0 where f(x)=16x-tan(x) is increasing.
Calculus 1

02/06/17

Find a value for a so that the following function is continuous at x = 0: f(x) ={ (x^2 + x sin(x))/x^2 for x /= 0, a for x = 0}

Not sure what to do with this problem. Its a piecewise function.     Find a value for a so that the following function is continuous at x = 0: f(x) ={ (x^2 + x sin(x))/x^2 for x /= 0, a for x = 0}
Calculus 1

02/04/17

Lim as x approaches infinity from the left side of 10*sin(x^4+1)/x^4+1

I don't understand how this solves to be 0 ?

A truck carrying Green Beans is traveling from Georgia to Pennsylvania. Along the way it is losing weight, based on evaporation - Green Beans lose water

A truck carrying Green Beans is traveling from Georgia to Pennsylvania. Along the way it is losing weight, based on evaporation - Green Beans lose water weight as they sit on the truck in the... more
Calculus 1 Calculus

01/26/17

Graph of derivative of temperature as a function of time

A pie is removed from a hot oven and left to cool to room temperature. Sketch a graph of the derivative of the pie’s temperature as a function of time. (You do not need to sketch a graph of the... more
Calculus 1

01/21/17

flip a coin 13 times

if you flip coin 13 times what is the possibility of getting exactly 9 tails 
Calculus 1

01/09/17

use the given information to find the exact values of the remaining trigonometric functions of theta. csc(theta)=5 with pi/2 less than theta less than pi

i need answers for cos(theta), tan(theta), sec(theta) and cot(theta)  
Calculus 1

12/27/16

use Mean Value Theorem Ιcosx-1Ι<ΙxΙ for all x

ΙCOSX-1Ι≤ΙXΙ using The Mean Value Theorem
Calculus 1

12/14/16

Find the value V of the Riemann sum . I have other questions like this I need a full example to help with the others.

Find the value V of the Riemann sum V = n ∑ k = 1 f ( c k ) Δ x k for the function x^2+3 using the partition{1,2,4,7}.(the n is above the sum the k is bellow the sum)
Calculus 1

12/12/16

Optimization..minimizing cost of container

A rectangular storage container with an open top is said to have a volume of 10m^2. The length of the base is twice the width of the base . Material for the base costs $10 per square metre.... more
Calculus 1

12/11/16

Suppose that the profit (in dollars) from the sale of Kisses and Kreams is given by P(x, y) = 20x + 6.9y − 0.005x2 − 0.025y

Suppose that the profit (in dollars) from the sale of Kisses and Kreams is given byP(x, y) = 20x + 6.9y − 0.005x2 − 0.025y2where x is the number of pounds of Kisses and y is the number of pounds of... more
Calculus 1 Cal

12/11/16

Differential equations

Find y=f(x) that satisfies y-y'=0
Calculus 1

12/10/16

CALCULUS QUESTION

A ball is thrown upwards with an initial velocity of 48 feet/sec from the top of a 160 foot tall building. Assuming that the only force affecting the ball during travel is from gravity, which... more
Calculus 1

12/10/16

Calculus Problem

A ball is thrown upward from the top of an 80 feet high building with a speed of 64 feet per second. Taking the gravitational acceleration to be 32 feet per second square, write the equation of... more
Calculus 1

12/10/16

Calculus problem

Two cars, initially are 130 miles apart, start off at the same time. Car A is to the west of Car B and starts traveling east (towards Car B) at 25 miles per hour while at the same time Car B starts... more
Calculus 1

12/10/16

Calculus question

Find an equation of the tangent line to the curve 3xy2-2(x+y)3=4 at the point (2, -1)
Calculus 1

12/10/16

Calculus word problem question

A particle moves along the x-axis with an acceleration according to the formula a(t)=cos(t)-sin(2t), where t is measured in seconds and displacement is measured in meters. If at time t=0 the... more
Calculus 1

12/10/16

A box with a square base and open top must have a volume of 4000 cm3. Find the dimensions of the box that minimize the amount of material used.

A box with a square base and open top must have a volume of 4000 cm3. Find the dimensions of the box that minimize the amount of material used.
Calculus 1

12/07/16

Find f(1) if g(x) = the definite integral from 0 to x^2 of f(t) dt = x ln(x)

Here is a link to the picture of the problem. http://imgur.com/0ZiyAzP
Calculus 1 Calculus Proofs Proof

12/06/16

Prove (x^5)+(e^x)=0 has at most 1 real root

I know to like assume that (x^5)+(e^x)=0 has two distinct roots and then find the contradiction. But am stuck.  
Calculus 1 Calculus

12/04/16

Find the exact value of the area between the graphs of y = sinh x, y = cosh x, for −7 ≤ x ≤ 7.

Find the exact value of the area between the graphs of y = sinh x, y = cosh x, for −7 ≤ x ≤ 7.
Calculus 1 Calculus

12/04/16

If f(x) is even and ∫(from -2 to 2) (f(x) − 8) dx = 2, find ∫(from 0 to 2) f(x) dx

If f(x) is even and ∫(from -2 to 2) (f(x) − 8) dx = 2, find ∫(from 0 to 2) f(x) dx
Calculus 1

12/04/16

A company estimates that the marginal cost (in dollars per item) of producing x items is 1.71 − 0.002x (Calculus)

A company estimates that the marginal cost (in dollars per item) of producing x items is 1.71 − 0.002x. If the cost of producing one item is $572, find the cost of producing 100 items. (Round your... more
Calculus 1 Word Problem

12/04/16

A car is traveling at 104 km/h when the driver seesaccident 50 m ahead and brakes. (Calculus)

This is a calculus problem involving derivatives.    A car is traveling at 104 km/h when the driver sees an accident 50 m ahead and slams on the brakes. What minimum constant deceleration is... more

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