1. Let f(x) = x³ – 5x + 2, Use Derivative Rules to find the following: a) Find the equation of the line tangent to f(x) and the point (-2, 4) b) Find the equation of the line perpendicular to the line in part a; this is called the normal line c) Find the equations for the horizontal tangents of this curve. 2x+1 2. Use Derivative Rules to find the derivative of g(x) = x2-1

Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: The objective is to find the rate at which base of the triangle is changing when altitude is 10…

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A: Given- The altitude of  a triangle is increasing at a rate of 1 cm/min. and the area of the triangle…

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Find the base where area and altitude is already given, then the formula of the area of a triangle…

Q: he solutions to two decimal places, as z-values are traditionally rounded. Rou The middle 60% of the…

A: Given See the handwritten solution

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.