Write the following mathematical theorems in their contrapositive form. to do so you will need to convert the sentences into symbolic form, find the contrapositive, apply other equivalences like demorgan's laws to simplify things and then convert back into english theorem: 0.0.1 if f is a function that is continuous on the closed interval [a, b and differentiable on the open interval (a, b), then there erists a number a c b and f'(c) = f(b)-f(a) theorem: 0.0.2 iff is a function for which the second derivative (f") is continuous near a point c and if f'(c)-0, then if f"(c)> 0, f has a local minumum at c or, if f"(c)

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

answer: at first, in 1635, the evening meetings had been just for women . .

what relationship between ideas is shown in the text above?

question 1 options:

location of events

similarity of events

timing of events

examples of an idea

step-by-step explanation: