Let ƒ(x)=e^−(x+1)^2. Draw a graph of the function on the interval [-3,3] and estimate from the graph whether ƒ′(−1) is positive or negative or zero, and whether ƒ′′(−1) is positive, negative...

Let ƒ(x)=e^−(x+1)^2. Draw a graph of the function on the interval [-3,3] and estimate from the graph whether ƒ′(−1) is positive or negative or zero, and whether ƒ′′(−1) is positive, negative...

Assume the revenue from selling q items is R(q)=−q2+500·q, and the total cost of producing q items is C(q)=150+10·q. (a) Find the profit function P(q). (b) Estimate the marginal...

Assume the revenue from selling q items is R(q)=−0.003·q2+5·q, and the total cost of producing q items is C(q)=300+1.1·q. (a) Find the profit function P(q). (b) Estimate the marginal...

A car with a tire of radius 14 inches is rotating at 780 revolutions per minute. Find the speed of the automobile to the nearest mile per hour.

I am unsure about how to properly solve this question

You wish to push a box up a curved ramp. You exert a force parallel to the ramp with magnitude Wsin(x/R), where W is the weight of the box and R is the radius of curvature of the ramp. How much...

You can't distribute the natural log? I don't understand.

The area of a circle is decreasing at the rate of 2pi cm^2/s. At what rate is the radius of the circle decreasing when it's area is 75pi cm^2?

Assume the revenue from selling q items is R(q)=-q^2+500*q , and the total cost of producing q items is C(q)=150+10*q. (a) Find the profit function P(q). (b) Estimate the marginal...

Let f(x)=-3*x. Draw a graph of the function and estimate from the graph whether f'(2) is positive or negative or zero, and whether f''(2) is positive, negative or zero.

Let f(x)=e^-(x+1)^2. Draw a graph of the function on the interval [-3,3] and estimate from the graph whether f'(-1) is positive or negative or zero, and whether f'(-1) is positive, negative...

Let f(x)=x^3-6*x^2+5*x+1. 1. Draw a graph of the function on the interval [-10,10]. 2. Estimate from the graph whether f'(0) is positive or negative or zero, and whether f"(0)...

The power delivered by a battery to an apparatus of resistance R (in ohms) is P = 2.4R (R + 0.5)2 watts. Find the rate of change of power with respect to resistance for...

How to find the limit process to find the area of the region between f(x)=1/10(x^2+10x) and the x axis on the interval [1,10]

A building is found to contain a radioactive gas. Thirty hours later, 60% of the initial amount of gas is still present. (Note: Use the concepts of half-life or doubling time.) (a)...

For f(x)= (sqrt36x4+7)/(9x2+4) I am really lost

lim as x tends to 2 [sin(2x-4)]/(x-2) . I attempted to solve but im probably wrong. I factored out the 2x-4 then canceled the x-2 with the x-2 from the factored numerator. But...

Show that the magnitude of the velocity for an object in uniform circular motion with: x(t)=Rcos(V0*t/R) and y(t)=Rsin(V0*t/R) as position equations equals V0. And determine...

determine the tenth term of the arithmetic sequence in which the first term is 5 and the forth term is 17

I'm trying to integrate (x)/(d+L-x) respect to x but I get -(d+L)ln(d+L-x) + d + L -x. The correct answer is -(d+L)ln(d+L-x) -x. What I did was to change the variable...

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