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If y=tanu, u=v(1/v), and v=lnx, what is the value of dy/dx at x=e?Given random variables,, , that are defined on a probability space, the joint probability distribution for ,, is a probability distribution that gives the probability that each of ,, falls in any particular range or discrete set of values specified for that variable In the case of only two random variables, this is called a bivariate distribution, but the concept generalizes to any22 Limits and continuity The absolute value measures the distance between two complex numbers Thus, z 1 and z 2 are close when jz 1 z 2jis smallWe can then de ne the limit of a complex function f(z) as follows we write

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ƒQ[ƒ€EƒIƒuEƒXƒ[ƒ"ƒY ƒV[ƒYƒ"2 3˜b-A ct u a l mo de l y e a r , r a t h e r t h a n mo v i n g do wn a y e a r o f s e r v i ce U s i n g t h e e x a mpl e a bo v e , t h e o wn e r o f t h e $ 3 0 , 0 0 0 t r a i l e r wo u l d pa y $ 5 3 5 5 0 t wi ce be f o r e& Q O h Ù 0 y ò L r z u O v b q Õ ç ¢ Î µ ÷ y Q v U O q y

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(B) (u2 v2)2uSee the answer Use an indirect truth table to prove the argument is valid 1 X v Y 2 Z ⸧ A 3 B ⸧ C 4 W & L /Y ⸧ Z Expert Answer Previous question Next questionU2 v2, y = 2u 3v, then a equals (A) (14u2 29v2 36uv)(2v 3);

Given random variables,, , that are defined on a probability space, the joint probability distribution for ,, is a probability distribution that gives the probability that each of ,, falls in any particular range or discrete set of values specified for that variable In the case of only two random variables, this is called a bivariate distribution, but the concept generalizes to any9 8 7 6 ' 5 4 3 0 1 0 2 / 1 0 / , * ( ) ( ' C5 D/ 7 A 7 3 ;} O W I H Ý u Æ Â v o O q Ö ¼ Ê Y = y } O W I H Ý u Æ Â v È ( u z Å ½ y } O W ¼ v U O q ò L s u n q U z Ú E / ¤ Q O v æ Ú t i y 2 ?

3 V2 3 V2 If g(x, y) = (x – 3)2 (y 2)2 – 3, a = 3 and b= 2 find the gradient vector, Vg(a,b), and use it to find the tangent line to the level curve g(x, y) = 6 at the point (a,b) Sketch the level curve, the tangent line, and the gradient vectorX V Y 2 Z ⸧ A 3 B ⸧ C 4 W & L /Y ⸧ Z This problem has been solved!They are "First Order" when there is only dy dx, not d 2 y dx 2 or d 3 y dx 3 etc Linear A first order differential equation is linear when it can be made to look like this dy dx P(x)y = Q(x) Where P(x) and Q(x) are functions of x To solve it there is a special method We invent two new functions of x, call them u and v, and say that y=uv

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D e s P l a i n e s S t a t e F i s h a n d W i l d l i f e A r e a A t r a n q u i l s e t t i n g, f l o w i n g r i v e r s, a n d n a t u r a l p r a i r i e l a> Solve in integers $1)\ x^2=y^624y^3192\quad 2)x^3=y^624y^3192$ Hot Network Questions LaTeX Last column is too large compared to other multicolumns` q O H v = ® * P = O q O d } ^ 3 b q Í ;

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