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The angular acceleration of a wheel is α = 9.0t4 – 5.0t2, with α
in radians per second-squared and t in seconds. At time t = 0, the wheel has an angular velocity of +7 rad/s and an angular position of +5 rad. Write expressions for (a) the angular velocity (rad/s) and (b) the angular position (rad) as functions of time (s).
The angular position of a point on a rotating wheel is given by θ = 3.04 + 4.83t2 + 2.99t3, where θ is in radians and t is in seconds. At t = 0, what are (a) the point's angular position and (b) its angular velocity? (c) What is its angular velocity at t = 7.43 s? (d) Calculate its angular acceleration at t = 1.12 s. (e) Is its angular acceleration constant?
Compute the divergence and curl of the vector point functions. 𝐹 = 𝑋 ^2𝑌𝑍𝑖 − 2𝑋 𝑍^ 3 𝑗 + 𝑋 𝑍^ 2𝑘.
Determine whether or not the following statements are proportions.if they are not explain why
A.there is an integer x such that X²=9
B.please solve the equation y=2x4
C.why do we have to study logic
D.5+5=15
E.it is not true that 1 is a prime number
2.1 Consider a closed economy that is described by the following model:
C = 280m + 0.72Y
Where:
C = Consumption Y = Income
I = 150m I = Investment
G = 300m G = Government spending
T = 22% t = Tax rate.
2.1.1 Calculate the multiplier. (3)
2.1.2 Calculate the total autonomous spending. (2)
2.1.3 Calculate equilibrium Income(2)
2.1.4 Calculate the Level of savings at equilibrium(3)
2.1.5 Calculate the amount of tax collected at equilibrium(3)
Differentiate y= In ( 2cot²x )
Differentiate y= In ( 2cot²x )
Write a menu driven program which has the following options:
1. Factorial of a number
2. Prime or not
3. Odd or Even
4. Exit
Once a menu item is selected the appropriate action should be taken and once
this action is finished, the menu should reappear. Unless the user selects the “Exit”
option the program should continue to work.
While purchasing certain items, a discount of 10% is offered if the quantity
purchased is more than 1000. If quantity and price per item are input through the
keyboard, create a program on it
Draw the possible constitutional isomers of C3H6O. Circle and name the functional groups which are present.
