calculus
posted by saphire .
How do you find the points of continuity for F(x) = sin(x^22) ?
Can you show your work? Thx

calculus 
Steve
sin(x) is continuous for all real x
x^22 is real for all real x
F(x) is continuous everywhere
Respond to this Question
Similar Questions

Calculus
Consider the function f(x)=sin(1/x) Find a sequence of xvalues that approach 0 such that (1) sin (1/x)=0 {Hint: Use the fact that sin(pi) = sin(2pi)=sin(3pi)=...=sin(npi)=0} (2) sin (1/x)=1 {Hint: Use the fact that sin(npi)/2)=1 if … 
Calculus
Consider the function f(x)=sin(1/x) Find a sequence of xvalues that approach 0 such that (1) sin (1/x)=0 {Hint: Use the fact that sin(pi) = sin(2pi)=sin(3pi)=...=sin(npi)=0} (2) sin (1/x)=1 {Hint: Use the fact that sin(npi)/2)=1 if … 
Calculus
Use implicit differentiation to find dy/dx if cos xy = 2x^2  3y. I'm stuck on this problem because I'm getting thrown off on how to factor this. Here's my work so far: {[(dy/dx)y + y]sin xy} = 4x  3(dy/dx) {[(dy/dx)y + y]sinxy} … 
Calculus (repost)
Use implicit differentiation to find dy/dx if cos xy = 2x^2  3y. I'm stuck on this problem because I'm getting thrown off on how to factor this. Here's my work so far: {[(dy/dx)y + y]sin xy} = 4x  3(dy/dx) {[(dy/dx)y + y]sinxy} … 
Calculus continuity
Discuss the continuity of f(x)= sin x/x^2  9 That is, state where is it continuous/discontinuous and why. Here was my original answer. sinx is cont. because it's a trig function. It's cont. at 2pi, pi, pi, and 2pi. x^2 is cont. … 
calculus
Find the points on the curve y= (cos x)/(2 + sin x) at which the tangent is horizontal. I am not sure, but would I find the derivative first: y'= [(2 + sin x)(sin x)  (cos x)(cos x)]/(2 + sin x)^2 But then I don't know what to do … 
PreCalculus
Assume sin A = sin B. If A = π/8, find B. Please show work so I'll know what to do. 
Calculus
Suppose that sin q = − 12/13 and that q is a Quadrant IV angle. (a) Find the exact value of cos q. Show work. (b) Find the exact value of sin 2q. Show work. 
Calculus
Use the function f to solve the following: a) Local minima, local maxima, and stationary points if any. Show work. b)Intervals of upward concavity and downward concavity if any. Show work. c) Inflection points if any. Show work. f(x)=2x+1/x2 … 
Continuity Calculus Help
9.0/1 points  Previous Answers SSTCalc6 2.3.046.My Notes Question Part Points Submissions Used Let f(x) = 4x2 if x > 2 4x + 3 if x ā¤ 2. Show that f is continuous from the left at x = 2, but not from the right. lim f(x) = nā2ā …