Let f(x)= ∑∞n=0 (x^n)/(n!) Find f(0)= 1 f(1)= e f'(x)= f(x) f''(x)= f(x) Not exactly sure how we're supposed to go about finding those answers, or how to start.

Let f(x)= ∑∞n=0 (x^n)/(n!) Find f(0)= 1 f(1)= e f'(x)= f(x) f''(x)= f(x) Not exactly sure how we're supposed to go about finding those answers, or how to start.

f(x)= (sqrt(x))-2/x-4 , x<4 p ...

A health food store manager discovers that some of the organic produce on the store shelf started to go bad. Assuming that the percentage of produce that goes bad after t days is given by f(t)= 100et/2+et a...

Lim (1-cos (sqrt x))/ x x-->0+ The answer is 1/2 But I don't understand how to get that?

Find the equation of the circle in standard form where the endpoints on a diameter are (4,8) and (-6,-6):

Find the limit as x goes to 0: (ln(1+x2)-x(arctan(x)))/(x(sin(x)-x)) At first the fraction found is 0/0, but applying L'Hopitals rule, when differentiated...

(in other words show that for any odd n there is a polynomial f(x) of degree n with no points x such that f(0)=0

Suppose melting snow causes a river to overflow its banks and h(t) is the number of inches of water on Main Street t hours after the melting begins. (a) If h'(200)=2 , by approximately how much...

Together two printers can print 7500 lines if the first printer prints for 2 minutes and the second printer prints for 1 minute. If the first print prints for t minute and the second printer prints...

A. Write the equation for the parabola whose focus is at (5,-1) and directrix is at x=3 B. White the equation for the hyperbole for which the length of the traverse acid...

How do I write the equation of the conic section with eccentricity 0.8 and Toco (1,-3) and (9,-3)

f (x)=x^3-x^2+1

How do I write the slope-intercept form of the equation of the line tangent to the graph y=3x^2+6x+1?

I have a TI-84 and need help solving a question regarding parametric equations. I can't get Y to be 0 so I can get an exact value for T when it crosses the X axis

Let the surface z = f(x,y) be deﬁned implicitly by the equation: sin(xyz)=x^(2)y^(2)+ z^(2) − 1 . (a). Find the partial derivatives ∂z ∂x and ∂z ∂y. (b). Find the equation of the...

A curve is defined by the parametric equations x= 1 to t ∫ (cosu)/(u) du y= 1 to t ∫ (sinu)/(u) du Find the length of the arc of...

Solution please

Consider the function f(x)= o to x ∫ (1)/(4+t2 ) dt Find the taylor series of f(x) at x=0

Calculus solution Help!

Calculus Solution Please