The average value of the radius in a circular system, (r) = S y*r¥ 4tr? dr. Evaluate (r) for Y = ) e-rla, where a is a constant. Refer to a table of integral if necessary.
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A: (a) Using the Pythagoras theorem to find the unknown side.
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A: Given A = 4.444, B = 5.000, and C = 0.6666. Then D be calculated as,
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Q: R(t) (Bq) Time interval # of (min) decays 0-1 19019 1-2 16242 2-3 12734 3-4 9410 4-5 7504 5-6 5674…
A: time interval (in min) Number of decays R (Bq) 0-1 19019 1-2 16242 2-3 12734 3-4…
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Q: What is the electric field outside the cylinder (r > R)? Give your answer in terms of the variables…
A: (a) Using Gauss’s law ∮E→·ds→=Qε0Eoutside2πrl=λlε0Eoutside=λ2πrε0=λ2πr8.854×10-12 F/m=1.8×1010λr
Q: QUESTION 1 The vector V has a magnitude of 199.51 km and makes an angle of 78.88 degrees with the…
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A: a)Length of the unknown side,
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A: The two components of the vectorAx=−3.39Ay=−12.7The magnitude of the vector
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- The height of a certain hill (in feet) is given by h(x, y) = 10 (2xy - 3 x^2 - 4y^2 -18x +28y + 12), where y isthe distance in miles (north), x the distance east of South Hadley, Massachusetts.a.) Where is the top of the hill located? b.) How high is the hill? c.)How steep is the slope (in feet per mile) at a point 1 mile north and one mile east of South Hadley? Inwhat direction is the slope steepest, at that point? d.) Make a contour map and a 3D plot of the area surrounding South Hadley, from 8 miles west to 4 mileseast, and 2 miles south to 8 miles north. Plot only positive heights on the 3D graph; use If to help yououtFIG. 1. A displacement vector in the ry plane. A displacement vector in the xy plane is 15 m long and directed at angle 0 = 30° in the above figure. Determine the x component and the y component of the vector.Take two values, say 1 and 2 and use the relationship, (picture)\ Are the values in both sides of the equation the same? What is the difference? Talk about this.
- What are the units of volume? Suppose another student tells you that a cylinder of radius r and height h has volume given by pir3h. Explain why this cannot be right.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
- Complete the missing entries in the table of metric prefixes, symbols, and multiplication factors. Pay attention to capitalization in the Prefix Symbol column, and specify whether the prefix is upper or lower case in the right-most column. The rows are not in any particular order. Example 1. 2. 3. 4. 5. Multiplier 10-¹2 10-2 10-3 Prefix Name pico kilo mega Prefix Symbol Р G Upper or lower case prefix? lower upperA unit of time year (yr) is defined as 365.25 days. Y How many seconds are there in 1.10 yr ? Express your answer using three significant figures. 1.10 yr = Submit Part B 17| ΑΣΦ 1.10 yr F Request Answer How many nanoseconds are there in 1.10 yr ? Express your answer using three significant figures. VO ΑΣΦ w ? ns SPlz give correct solution only. The amount of water in reservoirs is often measured in acre-ft. One acre-ft is a volume that covers an area of one acre to a depth of one foot. An acre is 43,560 ft2. Find the volume in SI units of a reservoir containing 75.0 acre-ft of water.