1 A cylindrical soup can of volume 500 cm is to be

8 Wayne wants to plant a triangular garden in his backyard and he will enclose the garden with 204 feet of fencing a Give two possible sets of side lengths for the garden one making an acute triangle and one making an obtuse triangle b Find the semiperimeter of each garden c Find the area of each garden d Wayne decides that he will have one side length of the garden be 50 feet If another side length is x write an expression for the 3rd side length e Write an equation in terms of x for the area of the garden f Use technology to find the lengths of the sides of the garden that give the maximum area and state the maximum area

The derivative of a function fis defined by f x g x for 4 x 0 15e x 3 3 for 0 x 4 The graph of the continuous function f shown in the figure below has x intercepts at 3 In 3 The graph of g on 4 x 0 is a semicircle and f 0 5 x 2 and x 0 Graph of f For 4 x 4 find all values of x at which the graph of fhas a point of inflection Justify your answer a b c Find f 4 and f 4 For 4x4 find the value at which fhas an absolute maximum Justify your answer

1 Do not use a calculator for this one 5 2 Graph of f 4 4 slope 2 The function fis defined on the closed interval 5 4 The graph of consists of three line segments and is shown in the figure above Let g be the function defined by g x a b f t dt Find g 3 On what open intervals contained in 5 x 4 is the graph of g both increasing and concave down g x The function is defined by h x 9 Find h 3

Which of the following values are in the domain of th function graphed below Check all that apply A 2 B 2 C 1 D 5 5 5

Convert each radian measure to degree measure Do not use a calculator a 11 12 b 7 4

5 Solve over the interval 0 0 2 2cos tane tane 6 Find ALL solutions to this equation in radians 2cos2x1 0

Precalculus 2024 Kuta Software LLC All rights Assignment 1 What parent function matches the given graph 27 3M T

In ANOP p 870 cm m N 127 and m 0 30 Find the length of n to the nearest centimeter

Answer the following questions Be sure to show all work and justify when necessary 1 Given the function f x 4x3 3x2 17 over what intervals is f x decreasing

2 2