MATH 1680 Study Guide - Midterm Guide: Glossary Of Video Game Terms

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turquoisegnu128

11 Oct 2018

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Express your answer in the form a + b where a and b are integers: (8 points) find an equation for a line perpendicular to the line 5x 2y = 7 and which goes through the point ( 3, 9). The correct answer is worth 2 points, the correct explanation is worth 10 points: (12 points) suppose f, g and h are polynomials of degrees 7, 8 and 9 respec- tively. 25 + 2h 5 h (b) lim h 0 (2 + h)3 8 h (c) lim h 0 x2 4x + 3 x2 + x 2 (d) lim x 1. Note that (3 + h, f (3 + h)) is a point on the graph of f . (b) evaluate and simplify f (x+h) f (x) h as h approaches 0. The total number of points available is 169.

Related Questions

1. (45 marks) Short-Answer Questions. Put your answer in the box provided but show your work also. Each question is worth 3 marks, but not all questions are of equal difficulty. Full marks will be given for correct answers placed in the box, but at most 1 mark will be given for incorrect answer. Unless otherwise stated, it is not necessary to simplify your answers in this question. a) Find the equation of the tangent plane to the graph of the function z = f(x,y) = sell at (0,1). Answer b) Evaluate (T, 0) if f(x,y) = sin(ry). Answer c) Graph of a function z = f(x,y) is given by: Which of the following level curves correspondes to this function. Answer d) If f(x,y) = e(3x – 2y), find lim - Math)-f(x,y) e) Find % if f(x, y) = x2 - y3 and 2 = r sin(t), y = r cos(t). Answer f) Evaluate the directional derivative of f(x, y) = !at (1, -1) in the direction of u =(2, 1). Answer 8) Does Simono converge? h) Sketch the direction field of the differential equation = 1-2y. i) Consider the differential equation ay = 15 - 31, y(0) = 0, and use Euler's method with step size 0.1 to estimate y(0.1). Answer j) Knowing that (-3,-3) is a critical point of f(x,y) = 2:3 + y2 – 4.cy -3.0, use the second derivative test to find out whether it is a local minimum, local maximum, or a saddle point. Answer k) Solve the initial value problem, dy dt 642 2y + cos(u) y(1) = . Answer 1) Is ū=(2,2, -1) perpendicular to v = (5,-4, 2)? Answer m) Find the area between the graph of y = 1 + sin(x) and y=1-sin(x) from 0 to 7. Answer n) Determine the lentgh of the curve y = 8/2,0 SIS 3. Evaluate and simplify your answer. Answer o) Express the volume of the solid obtained by rotating the bounded region that lies between curves y = (x-2)2 and y=1,150 $4 about the vertical line 2 = 5. Do not evaluate this integral. Answer

Q1. Write the expression 6/(2 + 8i) in the standard form a + bi.
a. -1/5 + 4i/5
b. 3/17 + 12i/17
c. -1/5 - 4i/5
d. 3/17 - 12i/17

Q2. Choose the graph of the number line that represents x â¤ -3.
a.
b.
c.
d.

Q3. Write the expression â-64 and express your answer in the standard form a + bi.
a. iâ8
b. 8i
c. -8i
d. Â±8

Q4. Evaluate (2xy + 35)/x given that x = 5 and y = 7.
a. 7
b. 49
c. 9
d. 21

Q5. The net income y (in millions of dollars) of Pet Products Unlimited from 1997 to 1999 is given by the equation y = 9x2 + 15x + 52, where x represents the number of years after 1997. Assume this trend continues and predict the year in which Pet Products Unlimited's net income will be $598 million.
a. 2005
b. 2004
c. 2003
d. 2006

Q6. Solve the equation x2 + 144 = 0 in the complex number system.
a. {-12, 12}
b. {12}
c. {12i}
d. {-12i, 12i}

Q7. Find the real solutions of the equation â24x + 48 = x + 8.
a. {-4}
b. {6}
c. {-3}
d. {4}

Q8. Solve P-5Q/3=(P+7)/2+1 for P.
a. P = (15 - 10Q)/3
b. P = (27 + 10Q)/3
c. P = (27 - 10Q)/3
d. P = (15 + 10Q)/3

Q9. Tracy can wallpaper 2 rooms in a new house in 8 hours. Together with her trainee they can wallpaper the 2 rooms in 6 hours. How long would it take the trainee working by herself to do the job?
a. 8 hr
b. 30 hr
c. 22 hr
d. 44 hr

Q10. Solve x2 - 2x - 24 = 0 by using completing the square.
a. {â5, -1}
b. {-6, 4}
c. {-20, -4}
d. {6, -4}