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Looping problem:
Multiply a number with the sum of its digits.
Input a number and display that how many digits it has.
The market demand and supply functions for potatoes are: QD = 2,000 - 500P and QS = 800 + 100P. To help potato producers, the government is considering legislation that would put a price floor at R2.25 per bag. If this price floor is implemented, determine (i) how many bags of potatoes will the government be forced to buy to keep the price at R2.25; (ii) how much government will spend in total; and (iii) how much producer- and consumer -surplus changes
The value of a%b is 3 and the value of b%a is 1 as the smallest of the two is 1 so the out putbe 1
Sample output
3
7
Sampleinput
1
3. A certain report claims that less than 40% of BTS fans based on Southeast Asia come from
the Philippines.
H 0 : ___________________________________________________________
H a : ___________________________________________________________
1.Find the domain of the function 𝑓(𝑥)=log4(𝑥2+4𝑥−5𝑒𝑥−1).
2. Construct the tangent line to the graph of the function 𝑓(𝑥)=√𝑥+2𝑥 which is perpendicular to the line 𝑥+3𝑦−2=0.
3. Find the maximal intervals of monotonicity of the function 𝑓(𝑥)=arctg(𝑥2−4𝑥).
4. Calculate the integral ∫𝑥2(𝑥3+4)2 𝑑𝑥2−1.
5. Find the particular solution of the differential equation 𝑦′=−(2𝑦+1)⋅tg(𝑥) which fulfills the initial condition 𝑦(𝜋4)=12.
6. Solve the matrix equation 2𝒳+𝒜=3ℬ−𝒜𝒳 if 𝒜=(−4−332), ℬ=(1−121).
1. Solve the matrix equation 4𝒳−ℬ=𝒳ℬ+2𝒜 if 𝒜=(−2141), ℬ=(71−72).
2. Calculate the inverse matrix to the matrix 𝒜=(001011111). Check whether the obtained inverse matrix is correct.
3. Solve the system of linear equations: 𝑥−2𝑦+𝑧=5,−2𝑥+3𝑦−𝑧=−8,−𝑥−𝑦+2𝑧=2.
4. Calculate the area of the flat shape bounded by the curves: 𝑦=√𝑥−1,𝑦=3−𝑥,𝑦=0.
5. Find all the extrema of the function 𝑓(𝑥)=√16−𝑥2.
6. Find the maximal intervals of convexity (concavity) of the function 𝑓(𝑥)=2𝑥+arctg(3𝑥). Find the respective inflection points.
149600000 km is equivalent to:
A) 149.6 Gm
B) 1.496 Tm
C) 149.6 Mm
D) 1.496 nm
The wavelength of red light is approximately 650 nanometres. This is equivalent to:
A) 650 000,000,000 m
B) 0.00000000065 m
C) 0.65 μm
D) 0.065 mm
The unit for the Young modulus is:
A) mm/m
B) %
C) Nm-1
D) Nm-2
#339914 on Dec 2023