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If you think the statement is true, then prove it. On the other hand, if you think the statement is false, then give an example that disproves the statement. For example, the statement "If a and b are real numbers, then a - b = b - a" is false and an example that disproves it may be constructed by taking a = 3 and b = 5. For these values of a and b, we find a - b = 3 - 5 = -2 but b- a = 5 - 3 = 2 and this shows that a- b ¹ b - a. Such an example is called a counter example.
The cost of travelling in a taxi in the city of Casio is fixed at RM 2 per kilometre plus RM 3 as service charge.
If the perimeter of a rectangular picture frame must be less than 240 in., and the width is 28 in., what must the height of the frame be?
A box with a square base has length plus girth of 104 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2000 in3? what is the smallest and largest length.
Find the rate at which velocity of expelled air is changing with respect to the trachea's radius during a cough. Is the velocity of airflow increasing or decreasing when r=1/2R? Why? Show all your work.
A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. Find the standard deviation of the data summarized in the given frequency distribution.
An entrepreneur buys an apartment building with 40 units. The previous owner charged $240 per month for a single apartment and on average rented 32 apartments at that price.
Evaluate the equation of the standard rectangular hyperbola and equation of the tangent and normal at a point to rectangular Hyperbola
Find the derivative using logarithmic differentiation
A manufacture has been selling 1500 television sets a week at 450 each. A market survey indicates that for each 29 rebate offered to a buyer, the number of sets sold will increase by 290 per week.
Use the limit comparison test to determine if this series converges or diverges.
Calculate the ratio of the area to the volume for a unit cube, a unit sphere inscribed inside the cube, and a right cylinder inscribed inside the cube.
Normal subgroups, Second Theorem of Isomorphism, Conjugates and Cyclic Groups
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