Ok, it's about time we had a quiz for smarts.
Starting tomorrow, I will put one math problem up every day this week.
The first person to PM me with the correct answer will win the 10k for that day.
Hope you guys know your stuff!
Question 1
Explain which step is incorrect, and why. You only have 1 guess on this problem.
Step 1: Let a=b.
Step 2: Then
,
Step 3:
,
Step 4:
,
Step 5:
,
Step 6: and
.
Step 7: This can be written as
,
Step 8: and cancelling the
from both sides gives 1=2.
Step 1: Let a=b.
Step 2: Then
,Step 3:
,Step 4:
,Step 5:
,Step 6: and
.Step 7: This can be written as
,Step 8: and cancelling the
from both sides gives 1=2. Answer 1
Step 8 is the incorrect step. In order to cancel, from both sides, you would need to cancel by division. Since A and B could be any numbers, including 0, you can not cancel them, since you can not divide by zero.
While it is true for some values, it is not true for all numbers. Therefore, the proof is false.
from both sides, you would need to cancel by division. Since A and B could be any numbers, including 0, you can not cancel them, since you can not divide by zero.While it is true for some values, it is not true for all numbers. Therefore, the proof is false.
Question 2
Let's try something a bit easier for today.
You have 2 attempts to answer this, and all must be correct.
Answer the questions based on the following equation.
r=5cos3θ
1) What is this type of graph called?
2) How many "petals" are in this graph?
Hint: Use a graphing calculator. You can google to find one online if you don't own one.
You have 2 attempts to answer this, and all must be correct.
Answer the questions based on the following equation.
r=5cos3θ
1) What is this type of graph called?
2) How many "petals" are in this graph?
Hint: Use a graphing calculator. You can google to find one online if you don't own one.
Answer 2
1) Rose Curve Graph
2) 3 petals
2) 3 petals
Question 3
Super easy one today.
A square has a circle inside it, as shown below. The sides of the square measure 6 in. Use this information to answer the following questions.
1) What is the area of the square?
2) What is the area of the shaded part, to the nearest tenth?
Hint: You will need a scientific calculator for this one. You can find one online if you don't own one.
A square has a circle inside it, as shown below. The sides of the square measure 6 in. Use this information to answer the following questions.
1) What is the area of the square?
2) What is the area of the shaded part, to the nearest tenth?
Hint: You will need a scientific calculator for this one. You can find one online if you don't own one.
Answer 3
1) 36 Square Inches
2) 7.7 square inches
Crew can answer these two, but members have priority.
Question 4
Solve the system of equations for x, y, and z.
4x-3y+z = -10
2x+y+3z = 0
-x+2y-5z = 17
4x-3y+z = -10
2x+y+3z = 0
-x+2y-5z = 17
Answer 4
(1, 4, -2)
Question 5
Use the equation to answer the following questions.
f(x)=3x^4+2x+1
1) Find the derivative.
2) Find the equation of the tangent line at point (1,6).
f(x)=3x^4+2x+1
1) Find the derivative.
2) Find the equation of the tangent line at point (1,6).
Answer 5
1) 12x^3 + 2
2) y=14x-8
2) y=14x-8
