- Aug 9, 2000
- 18,378
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My gf is taking advanced business calculus and one of the questions she got wrong on a practice test is finding the local linearization when a line passes through (a,b). She also needs to find estimated value of y when x = some number.
I just told her that she simply needs to plug into the local linearization equation. Appearently, I am wrong. usually, you are given f(x,y). However, in this case, you are given two equations equal to each other. Lets say, 5(x^2)y+2y = 12x + 2. I thought that maybe we we need to make the equation equal to its constant (the 2, so we get 5(x^2)y+2y-12x = 2). We let the 2 = z, which in turn equals f(x,y) (I am stumbling around trying to remember calc 3). I proceed to plug into the linearization equation and get my local linearization....then we attempt to get the rest and bam....we are way off.
I suppose my gf is smart and has elected to say "F This....I'll wait for the solution tomorrow". Me, on the other hand, I am totally consumed by the question. Are we doing anything wrong?
I just told her that she simply needs to plug into the local linearization equation. Appearently, I am wrong. usually, you are given f(x,y). However, in this case, you are given two equations equal to each other. Lets say, 5(x^2)y+2y = 12x + 2. I thought that maybe we we need to make the equation equal to its constant (the 2, so we get 5(x^2)y+2y-12x = 2). We let the 2 = z, which in turn equals f(x,y) (I am stumbling around trying to remember calc 3). I proceed to plug into the linearization equation and get my local linearization....then we attempt to get the rest and bam....we are way off.
I suppose my gf is smart and has elected to say "F This....I'll wait for the solution tomorrow". Me, on the other hand, I am totally consumed by the question. Are we doing anything wrong?
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