Consider the linear transformation T: R^3->R^3 which acts by rotation around the y-axis by an angle of pi, followed by a shear in the x-direction by a factor of 2. a) Find the matrix for T. Explain your method. b) What is
Determine whether or not the given linear transformation is invertible. If it is invertible, compute its inverse. (If the transformation is not invertible, enter IMPOSSIBLE. Use theta for θ.) Tθ:R2→R2, the
(I) Explain the term energy transformation. (II) Describe the energy transformation occurring in a swinging simple pendulum. Justify each transformation along the path of swing. (III) A person needs a power supply of 3.5kW for a
g(x) = abs(f(x)) [abs = absolute value] How exactly do I explain this transformation? I don't think "y-values turn positive, matching x-values of f" works very well. An example of another transformation: g(x) = 3f(x) ~Vertical
Given f(x)=2x^3-7 find f^-1(x) and then find f^-1(-2) I though that this meant inverse function. x=2y^3-7 x+7=2y^3 (x+7)/2=y^3 ((x+7)/2)^(1/3)=y so this meant f^-1(-2) = 1.35721 The professor posted the answer as being 6. I'm not
(a) What is the inverse of the function y = 3x2 ? (b) On the same set of axes, without the use of a graphical calculator, graph the original function and its inverse. (c) Is the inverse of the function also a function? Explain
The cost of producing q articles is given by the function C=f(q)=100+2q. (A) Find the formula for the inverse function. (B) Explain in practical terms what the inverse function tells you. I am pretty sure the answer to A is
Does y=1/x have an inverse? It is a one-to-one function, so it should be the inverse equation is the same??? yes, the inverse is the same. Check it with G(f(x)) So, when drawing the inverse, it is just the same graph?
f(x)=sqrt(x-2) what is the inverse of f? I got inverse f(x)= x^2+2 however, you need to specify the domain of x. the answer key says when x=>0 can you please explain why? I thought it would be when x=>2 ?