Tenshi

1) tan(sin^-1(5/6)-cos^-1(1/7) 2) tan(è + ); cos è = − 1/7,è in Quadrant III, sin = 1/2, in Quadrant II

if f(x)= x+(1/x), find f'(x) using the limit definition of derivative. Please show steps!!! Thank you!!!

Let P(t) be the percentage of Americans under the age of 18 at time t. The table gives values of this function in census years from 1950 to 2000. How would it be possible to get more accurate values for P'(t).

c) Estimate the instantaneous rate of growth in 2006 by measuring the slope of the tangent line through (2005, 10237) and (2007, 15005). d) Estimate the instantaneous rate of growth in 2007 by measuring the slope of the tangent line through (2006, 12435)...

find y' and y” by implicit differentiation. 2x^3 + 3y^3 = 8

A curve passes through the point (0, 2) and has the property that the slope of the curve at every point P is three times the y-coordinate of P. Find an equation of the curve. dy/dp = 3y or ∫ (3/y) dy = ∫ dp or 3 ln(y) = p + c or @ (0,2) ln(2) = 0 + c or c...

Consider the implicit function ln(xy)-cos^-1(x-1)=x a. Find dy/dx. b. Find y when x = 1. c. Find the equation of the tangent line in slope-intercept form when x = 1. Show steps please! Thanks!

The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3 − 0.01x + 0.000012x2 (in dollars per yard). Find the increase in cost if the production level is raised from 2000 yards to 4000 yards. $186,000

You discover a new cell type that contains measurable amounts of silver ions (Ag+) in it. You find that the concentration of Ag+ inside the cell is still 10 times lower than the concentration outside. Calculate the amount of membrane potential that result...

What is the molar concentration of water in a solution of 10mM glucose? What types of ions are formed when water dissociates at room temp? Thank you!

1) How does the pH of a solution affect its solubility and structure of weak organic acids and bases, such as proteins and nucleic acids? 2) Why would a zipper or a Velcro strip be a good analogy to weak interactions between biological molecules? Thank yo...

2nd question: Water dissociated into H+ and OH- ions. This is the basis for acid-base chemistry. 1st question: need help!