Calculus question and answers for January 11, 2024
- Q Evaluate the limit r t h r t h lim h 0 r t for r t t sint 7 2 41
- Q Find the limit es lim t 0 t 1 t
- Q customer is using while a kilowatt hour is one kilowatt of power being used for one hour For constant power use the number of kilowatt hours used is calculated by...
- Q lowing is not true OA Figuring the volume of a solid can involve slicing it into cross sections B In a solid of revolution the cross sections are circles or...
- Q If g x f x on the interval a b then the area between the curves for a x bis given by O A f f x g x dx...
- Q 2 Camille launches a model rocket in an open field near her house The rocket has a bit of a problem being slightly off balance Its trajectory is described by...
- Q 1 Consider the function f x x e 2x for x 0 where n is some unknown constant greater than 2 A Find the constant for which the function f...
- Q A Find the equation of the normal line to the curve In y 2x 1 at the point 1 1 1
- Q 3 The position of a particle in rectilinear motion is given by s t tln for t 0 where is in seconds Find the time 0 at which the velocity...
- Q The graph of the equation 2x y from A 0 0 to B 2 2 is revolved about the x axis The surface area of the resulting solid is in...
- Q The area of the region enclosed by the curves y given by which of the following expressions O A S O C OE 0 28166 1 67738 2 26296 2...
- Q they bring the bakery 1 How many pies can Janelle and Hector make together in 1 hour How many pies can Janel and Hector make together in t hours are...
- Q Graph the function F x 5 x x 2 11 2x x 2 10 10 8 9 4 10x
- Q Find the cosine of the angle between the planes 5x 1y 5z 3 and the plane 12 2y 1z 4
- Q A child wanders slowly down a circular staircase from the top of a tower With z y z in feet and the origin at the base of the tower her...
- Q Find the velocity and acceleration vectors for the motion described by v t a t 9 9 x 7 2t y 4 2t z 7 2t
- Q Evaluate the integral 5si 9s j 13k
- Q Let r t t 1 t 4t Calculate the derivative of r t a t at t 2 assuming that a 2 6 3 3 and a 2 9 7...
- Q If r t cos 5t i sin 5t j 10tk compute r t and fr t dt with C a constant vector i i j j
- Q Find the intersection 2y4x 3z 26 P of the line and plane r t 2 1 2 t 0 2 3 A
- Q 1 point If r t cos 3t i sin 3t j 7tk compute A The velocity vector v t B The acceleration vector a t i i j Ij
- Q Find the distance from the point 3 1 4 to the plane 2x ly 1z 3
- Q Write an equation of the plane with normal vector n 1 2 7 passing through the point 6 9 9 in scalar form 204
- Q Find the vector equation for the line of intersection of the planes 4x 3y 5z 0 and 4x 5z 1 0 t 15
- Q Find r t and v t given acceleration initial velocity and initial position v t r t 1 a t t 1 v 0 6 6 r 0 0 0
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