Calculus Answers

Sketch a possible graph of a function f that satisfies all of the limits below

a. lim x->-1- f(x)=0
b. lim x->-1+ f(x)=-1
c. lim x->0 f(x) = 1
d. f(0) = 0
e. lim x-> infinity f(x) = 2

evaluate the derivative d/dx sqrt(3x^3)ln(3x - e^x^2)

Give the equation of the line tangent to the curve f(x) = (x^(2) + 1)/(e^(2x)+sqrt(x)) at the point (1,f(1))

trace the curve

x = acos3θ,y = asin3θ

i cudnot get the answer ... did alot of reasearch but all in vain.. need help expert???????

trace the curve

x = a(t − sint),y = a(1 − cost)

Sketch the graph of a function that is both continuous and nondifferentiable at x=0, and noncontinuous and nondifferentiable at x = 2

Trace the curve
y = 1 /6(x^3 − 6x^2 + 9x + 6)

Trace the curve
x3 + y3 = 3axy

Consider the concentration, C, (in mg/liter) of a drug in the blood as a function of the amount of drug given, x, and the time since injection, t. For 0≤x≤5 mg and t≥0 hours,
we have C=f(x,t)=24te^−(5−x)t


f(1,3)=