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Please help with the following questions with work shown.
1. Solve log3x+log3(x+8)=2
2. Find (f o g)(x) if g(x) =f-1(x) is the inverse of the function f(x).
3. Find a polynomial function of lowest degree with rational coefficients and the following as some of its zeros: 0, - square root 3, 1 -i.
4. Find the domain of f(x)=√(x^2+x-12) in interval notation.
If a=2cm, b increases at a rate of 1.5 cm/min, and θ increases at a rate of 0.2 rad/min, how fast is the area increasing when b= 3 cm and θ = π/3?
Prepare a frequency distribution table and histogram on the following sample data
This year, 100 million test kits are expected to be sold. This represents a 122% increase form the number of kits sold last year. How many medical test kits were sold last year?
Two wine merchants enter Paris, one of them with 64 casks of wine, the other with 20. Since they have not enough money to pay the custom duties, the first pays 5 casks of wine and 40 francs
A school has 105 students, and seven classes. If each student takes three classes, and each class is taken by the same number of students, how many students are taking each class?
A rectangular tank, 4m long, 3m wide and 6m tall, is filled with water up to a depth of 2m. A solid spherical object of radius 1.2m is placed into the tank. Determine the new water level, correct to 3 significant figures.
Find the derivative of the function by using quotient rule.
A sample of participants took part in a hearing experiment. Among other things, the absolute hearing threshold (in decibels) was measured for each participant.
Write down an expression for the variance function and identify the canonical link function and A generalised linear model has independent normal responses
Multiple choice questions based on regression
if steve's bank offers him a savings account paying 5.3 compounded quarterly and jill's bank offers her an account paying 5.28% continuously who is getting the better offer?
Estimate with 95% confidence the decrease in percentage support between now and 6 months ago. What are the hypotheses?
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