Let a flat plate in the shape of a quarter-circle, as shown, have its faces and curved boundary insulated, and its two straight edges held at
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Mathematical Methods in the Physical Sciences
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- need help with this please.arrow_forwardQUESTION 14 Find the area enclosed by the given curves. y = 4-x2, y = x +2,x= - 2 and x = 2 O 139 109 3 19 3 79 3 Click Save and Submit to save and submit. Click Save All Anarrow_forward10. An airplane flying 390 feet per second at an altitude of 5000 feet flew directly over an observer. The image shows the relationship of the airplane to the observer at a later time. a.) Find an equation relating x and y. 5000°t 390 5000 b.) Find the value of x when y is 6,250. Observer c.) How fast is the distance from the observer to the airplane changing at the time when the airplane is dy at the time when dt dx = 390 and y = 6,250? dt 6,250 feet from the observer? That is, what isarrow_forward
- Mark the correct statements. i.Each level curve has a unique parameterization. ii.An inverse parameterization can be formed from each parameterization, where the positive direction of the curve changes. iii.The positive direction of the curve can always be defined by choosing its start and end point. iv.The start and end point of a closed curve can be located at any point on the curve.arrow_forwardEXERCISE 2.2 An automobile follows a circular road whose radius is 50 m. Let x and y respectively denote the eastern and northern directions, with origin at the center of the circle. Suppose the vehicle starts from rest at x = 50 m heading north, and its speed depends on the distance s it travels according to v=0.5s-0.0025s², where s is measured in meters and v is in meters per second. It is known that the tires will begin to skid when the total acceleration of the vehicle is 0.6g. Where will the automobile be and how fast will it be going when it begins to skid? Describe the position in terms of the angle of the radial line relative to the x axis.arrow_forwardFind dyldx for the following functions at x=pi/4 : y= In(Cosx) 1 -1 -2arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage