## Use Heron’s formula to find the area of the triangle.

Use Heron’s formula to find the area of the triangle. Round to the nearest square unit. 17) a = 10 meters, b 14 meters, c = 6 meters A) 48 square meters B) 12 square meters C) 23 square meters D) 46 square meters
Polar coordinates of a point are given. Find the rectangular coordinates of the point. 18) (-3, -13V)
Ai* 4) .4* -*) Di*
Convert the rectangular equation to a polar equation that expresses r in terms of 0. A) r(cos 0 + sin 0) . 2 B) r 4
Find the specified vector or scalar. A) 151+ 8j B) 91+ 5j C)13i+ 5j D) -15i+ 5j
Use the given vectors to find the specified scalar. 21) = -14i + 5j and = 10i – 8j; Find u v. A) -140 B) -180 C) -100 D) -40
Find the angle between the given vectors. Round to the nearest tenth of a degree. 22)u=i-j,v, 6j A) 101.3. B) 11.3° C) -11.3° D)106.1°
Find the center, foci, and vertices of the ellipse.
A) center at (-1, 2) vertices at (-2, -1), (6, -1) C) center at (2, -1) vertices at (4, -1), (-4, -1)
B) center at (2, -1) vertices at (-2, -1), (6, -1) D) center at (2, -1) vertices at (4, -1), (-4, -1)

### Derive expressions for the largest mass that can be lifted through a height h in the surroundings in these processes.

CHEM 301 Physical Chemistry I Homework 1- Chapters 1-2 1. Calculate the value of CP at 298 K and 1 atm pressure predicted for CH4(g) and C2H4(g) by the classical….

### Find a function f(x) substantially different from fr22 that has no antiderivative (in terms of elementary fimctions).

4. Find a function f(x) substantially different from fr22 that has no antiderivative (in terms of elementary fimctions). In this problem you will approximate J (x) dx in two different….

### How many five-character passcodes are there that contain at least one digit?

1) A course code at Canisius consists of three upper-case letters followed by a non-zero digitfollowed by two more digits. How many possible course codes are there? 2) A variable….