Study guides, Class notes & Summaries

(ASU) HST 338 American Indian History Since 1900 Final Exam 2023.(ASU) HST 338 American Indian History Since 1900 Final Exam 2023.(ASU) HST 338 American Indian History Since 1900 Final Exam 2023.

Derivative of arcsin(x) - ANSWER-1/sqrt(1-x^2) Derivative of arccos(x) - ANSWER--1/sqrt(1-x^2) derivative of arctan(x) - ANSWER-1/(1+x^2) derivative of arccsc(x) - ANSWER--1/(|x|√(x²-1)) derivative of arcsec(x) - ANSWER-1/(abs(x)sqrt(x^2-1)) derivative of arccot(x) - ANSWER--1/(1+x^2) derivative of sin(x) - ANSWER-cosx derivative of cos(x) - ANSWER--sinx derivatie of tan(x) - ANSWER-sec^2(x) (being this makes you two times more seccy) derivative of csc(x) - ANSWER--...

d sin x - ANSWER-cos x d cos x - ANSWER-- sin x d tan x - ANSWER-sec^2 x ∫sin x - ANSWER-- cos x ∫cos x - ANSWER-sin x ∫ sec^2 x - ANSWER-tan x d ln U - ANSWER-dU / U ∫ e^U dU - ANSWER-e^U ∫ dU / U - ANSWER-ln |U| e^ln x - ANSWER-x ln e^x - ANSWER-x ln e - ANSWER-1 ln 1 - ANSWER-0 ln A^B - ANSWER-B ln A ln (A/B) - ANSWER-ln A - ln B ln AB - ANSWER-ln A + ln B d e^U - ANSWER-e^U dU limit as x approaches 0 in: (sin x)/x - ANSWER-1 lim...

Find all points of relative minima and maxima: y = x^2 + 6x + 5 - ANSWER-minima at (-3, -4) Find all points of relative minima and maxima: y = -12/(x^2 + 3) - ANSWER-minima at (0, -4) Find the open intervals where the function is concave up and concave down. y = (2x-12)^(1/3) - ANSWER-concave up: (-∞, 6) concave down: (6, ∞) Find the open intervals where the function is concave up and concave down. y = -x^3 + x^2 + 3 - ANSWER-concave up: (-∞, 1/3) concave down: (1/...

Derivative of sin(x) - ANSWER-cos(x) Derivative of cos(x) - ANSWER--sin(x) Derivative of tan(x) - ANSWER-sec^2(x) Derivative of sec(x) - ANSWER-sec(x) tan(x) Derivative of cot(x) - ANSWER--csc^2(x) Derivative of csc(x) - ANSWER--csc(x) cot(x) Limits of infinity with highest exponent on top - ANSWER--/+ infinity Limits of infinity with highest exponent on bottom - ANSWER-0 Limits of infinity with same highest exponent - ANSWER-coefficents Tangent lines - ANSWER-slope/ d...

The slope of a secant line represents what kind of change? - ANSWER-Average roc The slope of a tangent line represents what kind of change? - ANSWER-Instantaneous roc What kind of change does an integral represent? - ANSWER-Total change Explain what a derivative is graphically. - ANSWER-Slope of tangent line Explain what a derivative is numerically. - ANSWER-Difference quotient from a table Explain what a derivative is analytically. - ANSWER-lim of (f(x+h)-f(x))/h as h->0 3 ...

Integral of cosx - ANSWER-sinx+c Integral of sin x - ANSWER--cosx+c Integral of sec^2x - ANSWER-tanx+c Integral of secxtanx - ANSWER-secx+c Integral of csc^2x - ANSWER--cotx+c Integral of cscxcotx - ANSWER--cscx+c If a trapezoidal sum overapproximates ∫0 to 4 f(x)dx, and a right Riemann sum underapproximates ∫0 to 4 f(x)dx, which of the following could be the graph of y=f(x)? - ANSWER-A- The one with a y intercept at three that is concave up and decreasing Let f be the f...

Find the limit as x approaches a number. - ANSWER-Plug in the number. If you get 0/0, factor and cancel then plug in again. Find the limit as x approaches infinity. - ANSWER-Degree on top greater -> DNE Degree on bottom greater -> zero Degrees the same -> ratio of leading coefficients L'Hopitals Rule for Limits - ANSWER-Take derivative of top and bottom separately, then plug in number again (repeat until you get an answer, or DNE) Show that f(x) is continuous. - ANSWER-1) Li...

Let g(x)=x^4+4x^3. How many relative extrema does g have? - ANSWER-B. One An object moves along a straight line so that at any time t its acceleration is given by a(t)=6t. At time t=0, the objects velocity is 10 and the position is 7. What is the object's position at t=2? - ANSWER-D. 35 Let g be a continuous function. Using the substitution u=2x-1, the integral from [2, 3] g(2x-1)dx is equal to which of the following? - ANSWER-B. (1/2) integral [2, 3] g(u)du lim from x->3 (tan(x-3))...

what does a function have to be in order for it to have a constant rate of change - ANSWER-linear what is slope intercept form - ANSWER-y=mx+b whats the equation of a line - ANSWER-y-y initial=m(x-x initial) in a problem showing attendance at NFL games over the years, what will the average rate of change formula look like - ANSWER-change in attendance/ change in time in a problem talking about an increase in town population, what will the formula for relative rate of change look like...