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Find the equation of the tangent to the graph at the indicated point.

f(x) = x^2 − 8x; a = −1-f(x) = 2x-8 f(-1) = -10 f(-1) = 1+8 = 9 Point is (-1,9) y-9 = -10(x+1) y-9 = -10x-10 y = -10x - 1

Some statistics questions

Stats isnt really my thing, any help is appreciated 1. Assume that head sizes (circumference) of new recruits in the Canadian armed forces can be approximated by a normal distribution with a mean of

A pair of dice is rolled. What is the probability of getting a sum of 4

I know the answer is 1/12, but how do I get the answer? Could someone please explain it or show it? thank you.-the answer is indeed 1/12. probability is the ratio of the number of ways to get the desi

Are these groups isomorphic

Group G = {1,-1,i,-i} where i^2 = -1 Group a = {[0],[1],[2],[3]} Group b = {([0].[0]),([0],[1]),([1],[0]),([1],[1])… From my Cayley table, I came up with the answer that G and a are isomorphic and G

Math Question!!!!!!!!!!!!!!!!!!!!!

1) P is a point on an edge of a circle, centre O. The line PQ is the tangent to the circle at P. R is the point on OQ such that angle ORP = 90 degrees. a) Prove that triangle QPR and triangle OPQ are

Differentiation question simple A-Level

Hi, here is just 2 questions of many, but i need to know the basics. Can you please answer and show working fully of these questions: The question is: Differentiate each of these functions with respe

Implicit Differentiation Method

I get y = -x/y as the derivative but cant figure out what to do next 1. Consider the circle x^2+y^2 = 1. (a) At what point(s) is the slope of the tangent line equal to 1? (b) At what point(s) is the

Use series to evaluate the limit.

lim (x->0) (1-cos(3x))/(1+3x-e^(3x))-Using the series for sine and exp, lim(x→0) [1 - cos(3x)] / [1 + 3x - e^(3x)] = lim(x→0) [1 - (1 - (3x)^2/2! + (3x)^4/4! - ...)] / [1 + 3x - (1 + 3x + (3x)^2/2! +

Integral of cos(4x)*cos(6x) dx

What is the integral of cos(4x)*cos(6x) dx?-hint : compute cos ( 6 x + 4x ) + cos ( 6 x - 4 x )

Can any of you nice folks explain factoring and quadratic formula to me

Equation is 10x^2 -7x + 1 = 0 x = ______ or _________ you have to factor and use quadratic formula, Im so confused and would appreciate it very much if somebody can do this one problem for me so I c

What is sec(97 degrees) rounded to 4 decimal places

calculator = 1/cos(97) = ...

Differentiation by first principles

How can I find the derivative of f(x)=e^(1/x^2) from first principles (ie limit as h->0)?-1) f(x) = e^(1/x²); ==> f(x+h) = e^{1/(x+h)²} 2) So, f(x+h) - f(x) = e^{1/(x+h)²} - e^(1/x²) = e^(1/x²)[e^{1/

Help with solving a calculus functions please

A little lost at how i can tackle the question. any help would be appreciated. Find the stationary points of the function y=(x^2+1)/x and test them for their nature. Please show all workings-y = x + x

Immediate help with proving identities in trig

Need help verfying... csc(-x)-sin(-x)=-cosxcotx sin^2x(1+cot^2x)=1-For the first identity: From a knowledge of the Law of Quadrants or by testing on your calculator sin (-x) = - sin (x) cosec (-x) = 1

2 numbers that multiply to 48 and add to -19

help??--3 and -16-let x & y be the two nmbers. xy = 48 ............ equation (1) x + y = –19 y = –x - 19 ............... equation (2) plug in value of y in eq (2) into eq (1); x ( –x - 19 ) = 48 –x
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