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Show that the nonlinear differential equation is exact. Find an implicit solution of the initial value problem.
(2ty + 1/y) y' +y^2 = 1, y(1) = 1
With a yearly rate of 3 percent, prices are described as P = P0 (1.03)t, where P0 is the price in dollars when t = 0 and t is time in years. If P0 is 1.2, how fast are prices rising when t = 15?
Suppose that X1=-1, x2=2, x3=4, x4=-3 is a solution of a non-homogeneous linear system Ax = b and that the solution set of the homogeneous system Ax=0 is given by the formulas:
Total number of ways a customer can place the order, A bagel shop offers 14 varieties of bagels, 11 flavors of cream cheese, and 15 flavors of coffee. How many different orders for a bagel
Reduce the equation to one of the standard forms, classify the surface, and sketch it.
A particular spell has a .18 (i.e. 18%) chance to do critical damage. What is the probability that a spell can be cast 10 times in a row without doing critical damage? What is the probability of the sum of two dice equaling an odd number?
Estimate the relative error in the calculated surface area.
Suppose A(3,-1,0) and B(-4,-2,3) are 2 points in 3-space. Find a vector with the following three characteristics: initial point at the origin, collinear but in the opposite direction of vector AB , length 3
the formula r=2 radical 5L can be used to approximate the speed r, in miles per hour, of a car that has left skid marks of length l, in feet. how far will a car skid at 30 mph.
Suppose you estimate the quotient 472 ÷ 58 using 500 ÷ 50 and using 420 ÷ 60. Which estimate should give a high estimate? Which estimate should give a low estimate? Explain the reasoning.
A person walks 18m East and then 32m in a direction of 65 degrees N of E. What is the resultant displacement?
Write down an expression for the variance function and identify the canonical link function and A generalised linear model has independent normal responses
Derivative of the natural logarithm by using the fundamental theorem of calculus - Evaluate the derivative of y = ln x. This solution below is not complete.
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