Calculus question and answers for January 15, 2024
- Q Find the general expression for the slope of a line tangent to the curve of y x 2x at the point P x y Then find the slopes for x...
- Q Suppose that x and y are related by the equation 4x 3y 5 and use implicit differentiation to determine dy dx 11 dy dx
- Q A 5 2 resistor and a variable resistor of resistance R are placed in parallel The expression for the resulting resistance R is given by R Determine the limiting value...
- Q The energy E in J dissipated by a certain resistor after t seconds is given by E In t 1 0 5t At what time is the energy dissipated the...
- Q Find the derivative of the given function dR dt 8 R 4 tan 3t
- Q Integrate the given function 5 3 dy y y Simo dy Then round to two decimal places as n
- Q Find the area bounded by the following curves y 9 x y 0 x 1 x 2 The area is plify your answer
- Q Suppose that x and y are related by the equation 3x 4y 2 and use implicit differentiation to determine dy dy
- Q Integrate the given function dx 5 4x dx 5 4x
- Q The displacement s in m of an object is given by the following function of time t in s s t 2t 4t Find the object s acceleration when t...
- Q Use the shell method to find the volume of the solid generated by revolving the shaded region about the y axis The volume is Type an exact answer using as...
- Q Evaluate the following indefinite integral 4x 3 3 dx 4x dx 3 3
- Q Let s represents the displacement and let t represents the time for an object moving with rectilinear motion according to the given function Find the instantaneous velocity for the given...
- Q What is the velocity in ft s of a sandbag 2 5 s after it is released from a hot air balloon that is stationary in the The velocity is...
- Q Find the radius of gyration of a plate covering the region bounded by y 2x x 2 and the x axis with respect to the y axis R
- Q ind the coordinates of the centroid of the region bounded by y 49x and 1 The region is covered by a thin flat plate What are the coordinates of the...
- Q The electric current i in A as a function of the time t in s for a certain circuit is given by i 5t t Find the average value of...
- Q The electric current in a microprocessor circuit is 0 370 A How many coulombs pass a given point in the circuit in 2 30 ms
- Q b The length of arc s of a curve from x a to x b is given by the formula s a 3 2 described by the equation y 0...
- Q A hoist mechanism raises a crate with an acceleration in m s a 1 0 25t where t is the time in seconds Find the displacement of the crate as...
- Q The voltage across a 4 5 F capacitor in a copying machine is zero What is the voltage after 19 ms if a current of 45 mA charges the capacit...
- Q What is the velocity in ft s of a sandbag 2 25 s after it is released from a hot air balloon that is stationary in the ai The velocity...
- Q Find the area bounded by the following curves 3 y x x 2 x 1 y 0 The area is Simplify your answer
- Q 59 60 Using right triangles Use a right triangle sketch to complete the following exercises 59 Suppose cos 5 13 Find sin 0 and tan 0
- Q 27 32 Graphing inverse functions Find the inverse function on the given interval if specified and graph both f and f on the same set of axes Check your work...
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