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Please show all calulations for each sub-question. Thank you
1. Assess the following functions (15 points):
1. π β²(π₯) = π₯ 2 + 6π₯ + 2
2. π β²(π₯) = 10π₯ β 2π₯ 2 + 5Β
a. Find the stationary points.
b. Determine whether the stationary point is a maximum or minimum.
c. Draw the corresponding curves, they can be in the same graph.
Assume that the rand/dollar exchange rate is above the equilibrium exchange rate. This will lead to a
Write a program that mimics a calculator. The program should take as input two integers and the operation
to be performed.
It should then output the numbers, the operator, and the result. (For division, if the denominator is zero,
output an appropriate message.)
Some sample outputs are as follow:
3 + 4 = 7
13 * 5 = 65
Use the Upper and Lower Bounds Theorem to show that the real zeros of
(i) P (x) = 7x^8+2x^5+x^2-2
lie between β1 and 1.
def mystery1(x):
return x + 2
def mystery2(a, b = 7):
return a + b
#MAIN
n = int(input("Enter a number:"))
ans = mystery1(n) * 2 + mystery2 (n * 3)
print(ans)What is output when the user enters 3?
2. A 0.2719 g sample containing πΆππΆπ3 reacted with 20.00 mL of 0.2254 M HCl. Given that HCl was excess. The excess HCl required exactly 20.00 mL of 0.1041 M NaOH to reach the end-point using phenolphthalein indicator.
Determine percentage purity of πΆππΆπ3 in the sample. The reaction involved is
πΆππΆπ3(π ) + 2π»πΆπΌ(ππ) β πΆππΆπΌ2(ππ) + 2π»2O(l)
The titration reaction is
π»πΆ(ππ) + NaOH(aq) ππCl(ππ) + π»2π(l)
- Two charged objects in a laboratory are brought to a distance of 75 centimeters away from each other. If the force between the spheres is 6,250 N and the charge on one object is 9.9 x 10-3Β C, what is the charge on the other object?
Calculate the molarity of the 19.60 g/L FeSO4(NH4)SO4.6H2O, standard
solution.
Iβm one experiment 8.66g of NO is mixed with 5.03 g of O2 what is the limiting reactant
1. Write a complete C++ application to prompt the user for the double voltage and resistance of a circuit, and call function calcurrent to calculate and display the current of the circuit.
Use the following statement to calculate the current:
Β
double current = voltage / resistance
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Β
2. Write a C++ program to calculate the product of all even numbers from 1 to 13 using a for loop.
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Β
Β
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3. Write a C++Β ProgramΒ to generate a random from the following list of numbers
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- 1 to 535 (one from the list)
- -14 to 190 (one from the list)
- 12, 24, 36, 48, 60 (one from the list)
- 0 to 241 (one from the list)
- 42 to 90 (one from the list)
Put the above statements in a C++ program and run the program and print the generated numbers
