Consider the height from the prior problem h(x, y)=4x2+y2. consider the constraint relation f(x, y,z)=4x2+y2-z=0. starting at the point x=1,y=0,z=4, can we find a function x[y, z] which satisfies the relation f(x[y, z],y, z)=0 in some neighborhood of y=0,z=4? if so what are the partial derivatives of x[y, z] with respect to y (keeping z fixed) and z (keeping y fixed)?

What is the range? can’t seem to find it out

Askateboard ramp is in the shape of a right triangle what is the height of the ramp

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.