[LEFT]مساعده ارجوكم الي يعرف لايبخل علينا ايبي في اقرب وقت ممكن
1- Alice buys three apples, a dozen bananas, and one cantaloupe for BD 2.300. Bob buys a dozen apples and two cantaloupes for BD 5.200. Carol buys two bananas and three cantaloupes for BD 2.700. How much do single pieces of each fruit cost?
<font face='"'> </font>2-From trigonometry, the tangent of both <font face='Symbol'>p</font>/2 and -<font face='Symbol'>p</font>/2 is infinity. Create a matlab code that will prompt the user to enter an angle between <font face='Symbol'>p</font>/2 and -<font face='Symbol'>p</font>/2. If the number is between <font face='Symbol'>p</font>/2 and -<font face='Symbol'>p</font>/2 but not equal then calculate tan(<font face='Symbol'>q</font>). If it is equal then set the result equal to Inf and display the result. If the number is outside the specific range, then send the user an error message.
3-You decide to start a saving account with BD2000 and contribute BD200 to the account every month. Suppose the interest on the account is 6% per year compounded monthly, which is equivalent to 0.5% each month. Each month your balance will increase in accordance with the formula
new balance = old balance +(monthly interest)*(old balance) + your contribution
Use a for loop to find the amount in the savings account each month for the next 18 years (create a vector of values). Plot the amount in the account as a function of time (plot time on the horizontal axis and dollar on the vertical axis, label each axis correspondingly)
4- The following vector shows the yearly percentage increases in college tuition for the next 22 years:
vector =[8 5 15 6 5 8 10 9 6 5 11 13 9 14 5 12 8 9 13 8 8 11]
Use a for loop to determine the cost every year assuming that the current cost is BD2000.
New tuition = old tuition *(1 + percentage)
5-In order to have a closed geometric figure composed of straight lines, the angles in the figure must add to
angle in degree = (n-2)*(180)
where n is the number of sides, so for a triangle (3 sides) the total of the angles is (3-2) * (180) = 180 degrees. Write a program that prompts the user to enter one of the following:
Use the input to define the value, n, using a switch/case structure. Then use n to calculate the sum of the angles.
6- Kinetic energy of an object is defined by
KE = (1/2) mV2
where m is the mass of the object in kg and V is its velocity in m/s.
a. Create a symbolic equation for kinetic energy and solve it for velocity.
b. Use the subs function to find the kinetic energy of a car that weighs 2000 kg and is traveling at 65 km/h (you have to match the units first).
6. 7-Determine the first and second derivatives of the following functions using MATLAB’s symbolic functions
a. y = x3 – 4x2 + 3x +8
b. y = cos(2x)sin(x)
c. y = (3x)e4x
d. y = (x2 -2x +1)(x-1)
8- Use MATLAB’s symbolic functions to perform integration on the following:
a. x3 +x
b. x3 +x, from x = 0.3 to x = 1.3
8. 9- A ball is dropped from above a building that is 50 meters high (the ground represent h =0). Kinetic energy and potential energy of the ball are defined by
KE = (1/2) mV2
PE = mgh
where the mass of the ball is m = 5 kg and the acceleration of gravity is g = 9.8m/s2. V is its velocity in m/s, and h is the height of the object in meters. The total energy of an object is conserved and is given by the sum of both energies
E = KE + PE
a. Create a vector h for the height from 0 to 50 meters with suitable increments.
b. Calculate PE as a function of height and save the results in a vector PE.
c. Plot the PE versus h.
d. Calculate a vector for the KE considering that
KE = the total energy E – the potential energy at height h, PE(h)
(the value of E is the total energy and is equal to PE at the top of the building, PE(h = 50).
d. Plot the KE versus h on the same plot in part c.
e. Find the speed of the ball as it falls using the equation:
KE = (1/2) mV2
(here you will use the vector KE to evaluate a new vector V)
f. Plot the speed of the ball V as a function of height h.