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Question:
Classify the following differential equations as linear/nonlinear. Also, what is the order of the following differential equations?
Xy'-2y =x
Xy'' -2y' =xsin(y)
Find the value of p and q for which the system of equations represent coincident lines 2x +3y = 7, (p+q+1)x +(p+2q+2)y = 4(p+q)+1 Ans: a 1 = 2, b 1 = 3, c 1 = 7 a 2 =
Consider the function f: N → N, where N is the set of natural numbers, defined by f(n) = n 2 +n+1. Show that the function f is one-one but not onto. Ans: To prove that f is one
ABCD is a rectangle. Δ ADE and Δ ABF are two triangles such that ∠E=∠F as shown in the figure. Prove that AD x AF=AE x AB. Ans: Consider Δ ADE and Δ ABF ∠D = ∠B
Q. What are Complex numbers? Ans. Complex numbers are numbers of the form a + bi, where a and b are real numbers and i is a special number called the imaginary unit, which
HOW DO YOU DO BAR DIAGRAMS ANDESTIMATE IT WITH PERCENTS
if 4,a and 16 are in the geometric sequence. Find the value
: Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are both 3 inches.
Write down the system of differential equations for the population of both predators and prey by using the assumptions above. Solution We will start off through letting that
What is a Function, Anyway? Domain? Range? Next time you're at a fast-food restaurant, take a look at the price list. It may look something like this: • Hamburger.............
Find the circumference of a circle whose area is 16 times the area of the circle with diameter 7cm (Ans: 88cm) Ans: Π R 2 = 16 Π r 2 R 2 = 16 r 2
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