The following problem consists of an assertion and a ‘proof’. Identify any error(s) in the ‘proof’. If there are errors but the assertion is true, provide a correct proof. Otherwise, provide a counter-example...

The following problem consists of an assertion and a ‘proof’. Identify any error(s) in the ‘proof’. If there are errors but the assertion is true, provide a correct proof. Otherwise, provide a counter-example...

You are given a series of envelopes, respectively containing 1, 2, 4, , , , , 2m dollars. Definition: Property 1: For any nonnegative integer less than 2m+1 there is a selection of envelopes whose...

Suppose that a + b + c = d; where a, b, c, d are nonnegative integers. Let P be the assertion that d is even. Let W be the assertion that exactly one among a, b, c are even,...

how do you prove that the derivative of x^n is nx^n-1

I need help to find the proof

Prove by contradiction: If an integer n has the form 3K+1, then it does not have the form 9L+5.

Find an example of a set A and functions f :A→A and g:A→A such that f◦g=idA but g ◦ f does not equal idA. I am not sure what idA means or an example for this

I can't figure out how to prove that statement. Any help would be great.

If all the primes where (2,3,5) then you can multiply them together to get 30, but then you add 1. Like how 64 is made up of 2x2x2x2x2x2, which can't this new number be made up of multiple smaller...

The picture is a quadrilateral with point A on the bottom left corner, point B on the bottom right corner, point D on the top left corner, point C on the top right corner, with a diagonal line from...

Write a proof using the following information. Given: ∠EAB ≅ ∠DBA, ∠DAE ≅ ∠CBD Prove: DA ≅ EB

2 Let a and b be integers such that a divides b+2 and a divides c-1. (a) Prove that a divides bc+2 Let a, b and c be integers such that a divides b and a divides c. Let x...

Email me for the picture of the diagram

I have a lot of trouble with proofs and need help.

Full Question: The coordinates for a rhombus are given (2a, 0), (0, 2b), (-2a, 0), (0,-2b). Write a plan to prove that the midpoints of the sides of a rhombus determine a rectangle using coordinate geometry...

Statements 1. Line Segment AB ≅ Line Segment CD 2. Line Segment AB || Line Segment CD 3. <ABC ≅ <DCB 4. Line Segment BC ≅ Line Segment CB 5. △ABC ≅ △DCB Reasons 1...

I know to like assume that (x^5)+(e^x)=0 has two distinct roots and then find the contradiction. But am stuck.

Statements line WXY m<WXY = 180° m<WXZ = 135° m<WXY = m<WXZ + m<ZXY 180° = 135° + m<ZXY 45° = m<ZXY m<ZXY = 45° Reasons Given...

** Will need 3 steps. If m<1 = 40° and m<2 = 50°, then the angles are complementary.

Statements: 9 = 4x - 3(x - 2) 9 = 4x - 3x + 6 9 = x + 6 3 = x x = 3 Reasons: Given ...