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A 4 ft high and 7 ft width rectangular plate is submerged vertically in water so that the top is 1 ft below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it.
Describe objects that have each of the following types of symmetry.
How many bit strings of length n are palindromes? Hint: Consider two cases n is even and n is odd. Note a palindrome is a "string" of letters or numbers which read the same frontwards and backwards.
Coffee is draining - Application of calculus
Change into symbolic notation - Roses are red and violets are blue
The perimeter of rectancle z is equal to its area.Rectangle y has the same perimeter as rectangle z.The length of rectangle y is 5 inches and the width is 3 inches. How do you find the length and width of rectangle z?
A manufacturer estimates that if x units of a particular commodity are produced, the total cost will be C(x) dollars, where
A production run of toothpaste requires a fixed cost of $100,000. The variable cost per unit is $3.00. If 50,000 units of toothpaste will be sold during the next month, what sale price must be chosen in order to break even at the end of the month?
The postal service provides at least one good example of a function with jump discontinuities. What is one such function, taken from the postal service or some other real life example?
Express the volume of this region as a single triple integral in rectangular coordinates and Express this integral in terms of one or more integrals in the order dz dx dy.
Find the prime of function
A dam with a vertical face has a gate that is in the shape of an isosceles triangle 3 ft wide at the top and 2 ft high. The upper edge of the gate is 10 ft below surface of the water. Find the total force on the gate due to water pressure. Water w..
Mary and Tom park their cars in an empty parking lot with n≥2 consecutive parking spaces (i.e, n spaces in a row, where only one car fits in each space). Mary and Tom pick parking spaces at random. (All pairs of parking spaces are equally likely.)..
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