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form a partial differential equation for (x− a)² + (y−b)² + z² = 1


(x− a)² + (y−b)² + z² = 1


Discuss whether it is possible that any devices if the production cost is R0,00


suppose tasty treat wants to introduce two new items in its menu: milkshake and smoothie. The cost to make a single serving of milkshake and smoothie is $60 and $50 respectively. They wants to minimize their cost. Everyday, at least 25 watts of electricity should be used in the kitchen. To make one serving of milkshake and smoothie, 1 watt and 2 watts of electricity is required, respectively. 3 minutes and 2 minutes are required each day to produce a serving of the items using at least 48 minutes by the workers.


Solve the differential equation 


dy/dx=x/16y

.

a) Find the implicit solution


b) Find the equation of the solution through the point (x,y)=(4,1) Your equation must describe a single curve of y=f(x) with the domain of f as large as possible. 


c) Find the equation of the solution through the point (x,y)=(0,−2) Your answer should be of the form y=f(x)



The weight (in kgs) of the children of age group of 8 years to 10 years is normally distributed with mean as 30 kgs and Sd as 5 kgs. Find the probabilities that the weight (1) lies in between 26 kgs and 40 kgs (i) is more than 45 kgs.

Find the equation of the solution to dy/dx = x^(5) * y through the point (x;y)=(1;2)



The area between z = 0 and z = 2 is

Find a solution to dy/dx=xy+9x+4y+36




If necessary, use K to denote an arbitrary constant.


Find u from the differential equation and initial condition.



du/dt= e^(1.5t-1.3u), u=0 1.3



Find u=?




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