Every cubic function (i.e. function of the form f(x) = ax³+bx²+cx+d with a, b, c and d constants, and a # 0) has at least one tangent line that is horizontal.

Q: Identify the following statement as either true or false. A number can be both rational and…

A: we have to identify the following statement is true or false

Q: c. The graphs of trigonometric functions have no vertical asymptotes. d. If f has a vertical…

A: The vertical asymptotes are the vertical lines at the points where the denominator of a rational…

Q: A speeder traveling 45 miles per hour (in a 25-mph zone) passes a stopped police car, which…

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Q: For "x is in A minus B" give an equivalent statement that uses "x is in A"  and "x is in B"

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Q: Reword the following statements in a way that changes negative wording to positive wording: "Do not…

A: We want to negate the following sentences "Do not carry on private conversations in the cubicle…

Q: If a and b are real numbers, the commutative property of addition states that a + b =

A: If a and b are real numbers, the commutative property of addition states that a+b =    Suppose two…

Q: can you do this question again just to make sure, and make it clear what I am supposed to write down…

A: The sum or difference or pointwise multiplication of two fuctions , each one is defined on the…

Q: Let 2 A = 3 and B = -3 Show that AB # BA.

A: Given, A=1232,  B=2-1-34

Q: Determine whether the statement is true or false, "3 is an even integer and 3 is less than 5."

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Q: Using the digits 2 through 9, find the number of different 6-digit numbers such that: a. Digits can…

A: Answer:- Given digits are -  2,3,4,5,6,7,8,9  Total number of digits= 8

Q: Make a list of all of the distinct mathematical operations and then arrange them in the appropriate…

A: Given: Make a list of all the different mathematical operations and put them in the correct order.

Q: Q2: Write necessary instructions to read two decimal numbers a and b (0<a, b< 50) and take the…

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Q: Answers must be in 4 decimals A witness to a hit-and-run accident told the police that the license…

A: License Plate : D G R 3 x x Total digits available = 8 i.e. only 1,2,4,5,6,7,8,9 Digits can…

Q: If a, b, and c are real numbers, the associative property of multiplication states that = a(bc).

A: Given a, b, c are real numbers.

Q: A number is very close to zero. Another number is also very close to zero. The quotient, , therefore…

A: Given a number is very close to zero. Another number is also very close to zero. Let α&gt;0 is very…

Q: 11

A: We need to solve the given differential equation  (y ' - x)y " - y ' = 0.

Q: nd show all your work. (also the answer is o

A: Introduction: An arithmetic series is the sum of the terms in a specified number of words arithmetic…

Q: If a + 0, the degree of ax"y" is

A: Degree of a term is the highest power of variable if term has only one variable and degree of term…

Q: Check if the following statement is TRUE or FALSE. 2 Let X and Y be two real numbers satisfying x² +…

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Q: If y = 3 x + 1, then y 2 = _____

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Q: Show that every odd integer is the sum of two consecutive integers

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