Find the equation of the line passing the points (1, 3), (8, 2). Find the equation of
Question:
Find the equation of the line passing the points (−1, 3), (8, 2).
Find the equation of the line that contains (−4, 6) and is perpendicular to the line −7x + 3y = 6.
Consider the function f(x) = −2x2 + 4x − 1. Find all information regarding f(x) (x and y intercepts, the axis of symmetry, the vertex point). Sketch the graph of f(x).
Solve the exponential equations. (a) 2x2+2 = 8x
(b) 31−2x = 45x
Solve the equation
(c) ex+1 = 31−3x (d) 2x+1 = 32−x
(a)f(x)=x2+x+1
Find the derivative of the following functions.
(a) y=4x9 (c) y= 1(x5 +7) 2
(b) y=−x12 (d) y=x2+1 5
Find g′(3) given that f(3) = −1 and f′(3) = 5. (a) g(x)=2x3 −7xf(x)
(b) g(x) = 2x+1 f (x)
(b)f(x)= 1 x+1
(e) y=x−3 + 1 x7
(f) y=7x−6−5√x
(g) y= 2x+7 5x−1
(h) y= x+2 x2+2
220
1 + 5.5e−0.17x
= 170.
Solve the following logarithmic equations.
(a) log5(x+5)=log53 (b) lnx+ln(x+1)=8Use the limit definition to find to find the derivative of the following functions.
Find the equation of the tangent line to the graph at the specified value of x. √
y=x 3−x2, x=1.
Use the derivative to find the Maximum or Minimum values of the following functions.
(a)
(b)
f(x)=2x3 −9x2 +12x−3
f(x)=x2 +5x−1
1