Question

14:05 ec172sp2020hw1.pdf NOTE: Staple your assignment together before turning it in, otherwise you will not receive credit I. Consider the following stem of linear equations: y 10 - 2x yer Solve for the coordinates (%) that represent the intersection of these two lines Graph your solution 2. Consider the following system of linear equations: Pro-bg pc.de Assume that a > >O and that d>0 0 . Solve for the values of pand in terms of the parameters, d) that represent the intersection of these two lines Graph your solution. Note that ab dare simply positive constants 3. Find the derivative of each of the following functions by 64 c. w 3lu d.w= 40 ey Br-3P Ly= 4x+6) Ey . 3x 4. For 3a and 3b evaluate the slope of each function at x = 1. For 3 and 34. eluate the slope of each function at = 2 5. Find the value of x that maximizes the following function y = 90x1 .5 What is the value of y at this maximum? 6. Partially differentiate each of the following functions with respect to ay by(2x + y ) cy= (4x + 37-5) dys 7. Supposex"Y - 0 where is a positive constant. Solve for dylide & Graph the following function wy 20. Solve for dylda What is the value of the derivative of this function at x 2? What is the value of the derivative of this function at x = 3?

Answer 1

1.y=10-2x

y=3x

At intersection ,there will same coordinate of both lines,

So putting ,y=3x into y=10-2x

3x=10-2x

x=2,

Y=3*2=6

So coordinate (2,6) represent intersection of these two lines.

2. P=a-bq{equation1}

P=c+dq{equation 2}

Equation2. : P=c+dq

q=(p-c)/d

Putting this into equation 1,

P=a-b((p-c)/d)=(ad-bp-cb)/d

dp+bp=ad-cb

P(d+b)=ad- cb

P={(ad-cb)/(d+b)}

3.a)13*x^12

b)0

C)-3/(u)^2

D)-2/(u)^1/2

E)18x*(3x2-13)^2

F)12x2+12x=12(x2+x)

G)1+(-3/(x2))

4. For 3a slope=13x12=13

3b slope =0

3c slope=-3/4=-0.75

3d slope=-(2^1/2)=-√2