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Problem 1) determine the value of a and b for which the system hasI. no solutionII. unique solutionIII. infinite number of solution
Problem 2) A body of mass m is in rectilinear motion along horizontal axis .the resultant force acting on the body is given by -kx , where k>0 is constant of proportionality and x is the distance along the axis from a fixed point O.the body has initial velocity v=v0, when x=x0Apply newton's second low and thus write the differential equation of motion in the form mv(dv/dx)=-kx
Problem 3) find the general solution of equation
This problem is in reference to students who may or may not take advantage of the opportunities provided in QMB such as homework. Some of the students pass the course, and some of them do not pass
Solving problems on probability.
Points A and B move along the x- and y-axes, respectively, in such a way that the perpendicular distance r from the origin to AB remains constant. How fast is OA changing, and is it increasing or decreasing, when OB=2r and B is moving toward O at ..
Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x^2+2x-35 . If there is more than one x -intercept, separate them with commas.
The following eight numbers can be grouped into four pairs such that the higher of each pair divided by the lower is a number of particular mathematical significance (at least to 4 decimal places).
Fit a second order Newton's interpolating polynomial to estimate log 10 using the data x=8, 9, and 11. Complete the true percentage relative error.
What are two principles of financial management that you will likely use in your future career? How will you use them, and why are they important.
Indicate the equation of the given line in standard form.
A pie is removed from a 375 degree F oven and cools to 215 degree F after 15 minutes in a room at 72 degree F How long will it take for
Demonstrate an understanding the concept of differential and Integral Calculus - Demonstrate an understanding how to calculate and solve engineering problem using differential and Integral Calculus.
Recall that for a, b ∈ Z, a ≡ b (mod 8) means that a - b is divisible by 8. Use the Division Algorithm to prove that for every integer m there exists an integer r such that m ≡ r (mod 8) and 0 ≤ r
Here are DeMorgan's laws, given in logic notation: ¬(P ∨ Q) is logically equivalent to (¬P)∧ (¬Q) and ¬(P∧ Q) is logically equivalent to (¬P)∨ (¬Q).
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