Consider the vector function given below. r(t) = (3t, 5 cos(t), 5 sin(t)) (a) find the unit tangent and unit normal vectors t(t) and n(t). (b) use the formula to find the curvature. κ(t) =

He mass of a single atom of carbon can be found by dividing the atomic mass (12.01 g) by 6.022 x 10^23. which is the mass of a single carbon atom, correctly written in scientific notation with the correct number of significant figures?

Match each whole number with a rational, exponential expression 3 square root 27^2find the domain and range of the exponential function h(x)=125^x. explain your findings. as x decreases does h increase or decrease? explain. as x increases does h increase or decrease? explain.

Let x = a + bi and y = c + di and z = f + gi. which statements are true?