Find a set of parametric equations for a) A line with slope 2/3 passing through the point (5,2) b) A line passing through the points (5,7) and (3,2)

Find a set of parametric equations for a) A line with slope 2/3 passing through the point (5,2) b) A line passing through the points (5,7) and (3,2)

The problem reads: "Consider a particle moving through space along the trajectory r(t) = (cos(t),sin(t),t) for tâ‰¥0. Draw a nice picture of this trajectory. Suppose that at time t0=...

A trough is 10 ft long and its ends have the shape of isosceles triangles that are 4 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 11 ft3/min,...

Let f(x)=sqrt(x+1); Compute T1,T2 at 0. And by that I mean Taylor . I know how to compute a Taylor polynomial for f(x,y) but how do I compute for f(x)? Please help I have...

i44+i150-i74-i109+i61=-1 Justify answer please

I need to find the orginal fuction for the problem

There are 500 marketers promoting 9 different products to 60 Million customers. They all have equal capability to reach 6,000 of the customers daily and start promoting on the exact same day. What...

I have tried so many ways and I'm just stuck. It's really confusing because other examples are not the same.

If f(x)=3sin(x) + 4(x)^x, find f'(3)

Find the point on the line 5x+3y+1=0 which is closest to the point (â€“1,3). x= ? y=?

csc = cosecant confusing!!

i dont know how to deal with e and sine in the same equation.

At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 20 knots and ship B is sailing north at 18 knots. How fast (in knots) is the distance between the ships changing...

A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 16 cm. (Note the answer...

Answer the following questions for the function f(x) = xsqrt(x^2+4) defined on the interval [-6,7] A. f(x) is concave down on the region ____ to______ B....

Consider the function f(x)=8sqrt(x)+7 on the interval [36] . Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the...

Answer the following questions for the function f(x) = xsqrt(x^2+4) defined on the interval [-6,7] A. f(x) is concave down on the region ____ to______ B....

Consider the function f(x)=8sqrt(x)+7 on the interval [36] . Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the...

Consider the function f(x)=8sqrt(x)+7 on the interval [36] . Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval...

Let g(x) = e^(âˆ’6x^2) Find and classify all critical points of g(x). Find all inflection points of g(x).