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Elementary Geometry For College Students, 7e
- An unevenly heated metal plate has temperature T(x,y)T(x,y) in degrees Celsius at a point (x,y)(x,y). (Coordinates are measured in meters.)Given that T(2,1)=104T(2,1)=104, Tx(2,1)=10Tx(2,1)=10, and Ty(2,1)=−14Ty(2,1)=−14, estimate the temperature at the point (2.05,0.97).arrow_forwardThe volume of a right circular cone with radius r and height h is V=πr2h/3. a. Approximate the change in the volume of the cone when the radius changes from r=5.8 to r=6.6 and the height changes from h=4.20 to h=4.18. b. Approximate the change in the volume of the cone when the radius changes from r=6.62 to r=6.55 and the height changes from h=15.0 to h=14.91. (Type an integer or decimal rounded to two decimal places as needed.)arrow_forwardSuppose that the temperature in degrees Celsius at a point(x, y) on a flat metal plate is T (x, y) = 10 − 8x2 − 2y2,where x and y are in meters. Find the average temperatureof the rectangular portion of the plate for which 0 ≤ x ≤ 1and 0 ≤ y ≤ 2.arrow_forward
- Determine the centerline distance between hole A and hole B for these values. 407 E FK 27° 1.300 RADIUS 63°09 1 101° 214° O 86° H A 1 D x P M BC O 4.500 y 4.500 R RADIUS x a. Radius x 5 8.0000 and DO 5 2.1000. b. Radius x 5 1.2000 and DO 5 0.7000. D 1 x HOLE Barrow_forwardF r o m t h e g i v e n F r e q u e n c y Di s t r i b u t i o n Ta b l e , c o m p u t e t h e f o l l o w i n g : m e a n , m e d i a n , st a n da r d de v ia t i o n, Co e f f i c i en t o f v a r ia t i o n a nd K ur t o si s . Class Interval Frequency 61-67 3 68-74 5 75-81 9 82-88 7 89-95 1arrow_forwardCalculate ∬Sf(x,y,z)dS For x^2+y^2=9,0≤z≤3;f(x,y,z)=e^(−z) ∬Sf(x,y,z)dS= ?arrow_forward
- please find x , y , z so 3 parts :)arrow_forwardThe volume V of a right circular cylinder of radius r and height h is V=πr2h(a) How is dV/dt related to dr/dt if h is constant and r varies with time? (Enter drdt as dr/dt.)dV/dt= (b) How is dVdtdVdt related to dhdtdhdt if r is constant and h varies with time? (Enter dhdt as dh/dt.)dV/dt=(c) How is dVdt related to dhdt and drdt if both h and r vary with time?dV/dt=arrow_forwardPartially differentiate with respect to x y and zarrow_forward
- A triangle-shaped sheet has a surface mass density of 1.5 grams per square centimeter. Suppose that the corners of the sheet are located at the points P(2,1,2), Q(1,1, -3) and R(2,3,1) and that all the Coordinates are in centimeters. What is the mass of the sheet?arrow_forwardknowing that f(x,y,z) =0 ,find dx/dz if (z=x+y) (dz/dx should be interm of fx,fy,fz)arrow_forwardHomogenized milk has a density of 1.032 kg/L and heavy cream has a density of 1.005 kg/L at 10 celsius. At 10 celsius, a container holding 8 liters of liquid weighs 8.04 kilograms. Does the container hold homogenized milk or heavy cream?arrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,