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A 6-footer Pedro lifted a 50-kg sack of rice and put it on top of his head. How much power does Pedro have if he was able to lift the sack in 1 second?
a. 1000 J/s
b. 9000 J/s
c. 100 J/s
d. 900 J/s
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=?
The cost of sunflower seeds has increased .sunflower seeds are an input when sunflowers are produced .explain verbally how this change will affect the market of sunflowers (5) marks
Find a function y of x such that
9yy'=x and y(9)=10
Solve the separable differential equation for.
dy/dx= [1+x] divided by [xy^15]
Use the following initial condition: y(1)=5
y^16=?
.
Given the following demand curves facing a monopoly : Q = 14 - 2P Find the profit maximising price and output of the monopolist, if she has constant marginal cost of Rs 5. How will the total surplus in this market will change if she practices perfect price discrimination ?
There is conflict between the manager and one of the employees in the procurement
department of the company. They are in a disagreement on whether the company should make
charitable donations. According to the manager, the company should not give money to charity
because it does not generate any income. In contrast, the employee has expressed that it is
important that the company give back to the community.
Solve the separable differential equation
10x-8ysqrt(x^2 +1) * dy/dx =0
Subject to the initial condition: .y(0)=9
y=??
On average 20% of the calculators produced in a factory are faulty. Samples of 10 calculators are to be selected at a random each day. Each calculator will be selected and replaced in the set of calculators which have been produced on that day. Calculate the probability that in any one sample, two calculators or less will be faulty.
