University:
Georgia Southern University
Course:
MATH 2243 | Calculus 3
Academic year:

2024
Views:

493

Pages:

1
Author:

Jalen W.

Instructor: Shijun Zheng Course: Spring 2023 - Calculus III (MATH2243-A-B) Student: Jalen Wilson Date: 07/11/24 Assignment: Chapter 12 Skills Check Homework 1. Complete the trinomial so that it is a perfect square. Then factor the trinomial. 2 r + 26r Find the missing term that completes the square. 2 r + 26r + 169 (Simplify your answer. Type an integer or afraction.) (r + 13) The trinomial factors to 2 . 2. Complete the square to form a true equation. 2 x − 14x + ___ = (x − __ ) 2 2 2 49 7 x − 14x + = (x − ) (Simplify your answer. Type an integer or afraction.) 3. Solve the equation by completing the square. The solution set is −6 . (Type an integer or a simplified fraction. Use a comma to separate answers asneeded.) 2 z + 12z + 36 = 0 4. Solve the triangle. c 68° a = 13.2 γ 80° b 32 °, b = 12.4 , c = (Round to the nearest tenth asneeded.) γ= 7.1 5. Verify that the given trigonometric equation is an identity. sin θ 7 cos θ sec θ = 1 7 sin θ On the left side of the givenequation, rewrite the denominator in terms of sine and cosine or both. sin θ 7 cos θ • 1 cos θ Finally, show that this expression equals 1 7 sin θ by applying which of the followingoperations? A. Divide out the common factor and simplify the expression. B. Divide out the common factor and then apply the Pythagorean identity. C. Add the common factors and then apply the quotient identity.