A) Approximate the total area under the following curve - list any assumptions and show the slices used to determine the area. YA 6 5 4 3 2 1 1 2 3 4 5 6 7 8* Total Area =
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- A closed water tank has the form of a cuboid with a square base with sides of length x and a height h. The total surface area of the tank is 16000 cm2 Find the value of x which maximises the volume. Give your answer correct to 2 decimal places.A spelunker is surveying a cave. She follows a passage 160 m straight west, then 230 m in a direction 45 degree east of south, and then 280 mm at 30 degree east of north. After a fourth unmeasured displacement, she finds herself back where she started. Part a)Use a scale drawing to determine the magnitude of the fourth displacement. Express your answer using two significant figures. Part B)Determine the direction of the fourth displacement. Express your answer using two significant figuresPlz only do (d e f g and h)
- Three vectors are given as: A = 3â – 9âỹ B = 7ââ + 10ŷ C = 4⣠+ 5ÿ+ 62 These three vectors are used to define a parallelepiped. (a) What is the volume of the parallelepiped? (b) What is the surface area of the parallelepiped?Part A What is the area of a circle of radius 11.87 m ? Express your answer using four significant figures. ? A = m2 Submit Request Answer Part B What is the area of a circle of radius 4.7 m? Express your answer using two significant figures. A = Submit Request AnswerT The total surface area, A, of the cylinder can be expressed as A = (a) Find the value of k. (b) Find the value of that makes the total surface area a minimum
- 1. Multiplication or division: keep the same number of significant figures in the product or quotient as is in the least precise factor. Examples: 3.1 * 25.6=79.360000... = 79 6.7/981.0=0.0068297655... = 0.0068 keep only 2 significant digits 2. Powers or roots: keep the same number of significant figures as in the original number. Example: Sqrt(38) 6.164414... keep only 2 significant digits = 6.2 (11.6)² = 134.5600000... = 135 Exercises 3. Addition or subtraction: Round off, to the number of decimal places determined by the number with the least number of places beyond the decimal point. Example: 31.5+24.61 +3.28+1.19 +0.762 +0.003 = 61.345 1. 3.9 * 78.9= = 61.3 (correct result) 2. 32.01 +96.321 +36.98 +0.00023 +28.9= 3. 26.9/98 = 4. 421 0.003 =il vidong P 7. (10pt) In AABC, ZC = 81°, ZB = 33°, and side c = 15. Find side b of AABC to the nearest tenth. pucg 1701 8. (a) (5pt) Prove the identity: secx-cosx = secx sin²x Ils obulout jollood moitotumnez baicoibai saiwisdio aeslau mmol jalgraiz oszo ni flot bris bolodal (b) (5pt) Find cos, if sin and tan 0 <0 5 snowers odriguia bustolovioc (0.x) mpl ori) to anotulos) airpori y bris x sit state noitsupo ostboup grivollol smil movie (inc E+xxx dgety od dolose or noemolni zid sau no bas tev dr.((,0) bas 9. Find all exact solutions to the trig equations for x = [0, 27): tan(x) = -√3 2 sin(x) = √2 (a) (5pt) (b) (5pt) =-- 10. (a) (5pt) Evaluate the logarithm without using a calculator: log, (819) hoitoup oils bri (b) (5pt) Solve for x and round the answer to the nearest tenth: 12* = 384 110 auibet bos.odnos odi vinobl mol bisbraste 20180b7009 diw storio edino ziniog spot fods. I npitori xalqinos oli vulgrai? woled invig oloro od to noisups silloi odi gniau slonio odi dgers bi 01-…Pls asap
- 2Estimate the order of magnitude of the length, in meters, of each of the following.4.) Use your linear fit parameters above to state the best estimate of the equation for this line. Remember the equation of the line is y = mx +b where m is the slope and b is the y-intercept. Include units. v(t) (m/s) = Error Analysis: t+ The theoretical value of the slope is 20.45 m/s². 5.) Basic error analysis: (Read page 2 of Error Analysis handout). Compute a % error between the theory value and the most probable experimental value . % error = Q2.) Is the % error positive or negative? What does that tell you? (Read page 3 of Error Analysis handout). Q3.) Can you say if this % error value is "small" or "large"? So can you say if there evidence of discrepancy or no? Do you see the problem with this basic approach?