First find the critical points of <em>f</em> :
so the point (1, 0) is the only critical point, at which we have
Next check for critical points along the boundary, which can be found by converting to polar coordinates:
Find the critical points of <em>g</em> :
where <em>n</em> is any integer. We get 4 critical points in the interval [0, 2π) at
So <em>f</em> has a minimum of -7 and a maximum of 299.
Answer:
<h3>1/8</h3>
Step-by-step explanation:
Given the expression
Using the following laws of indices;
The expression becomes;
Step 1: Multiplication rule
Using the division rule of exponent (Quotient of powers);
Hence the result of the expression is 1/8
Answer:
x = -7
Solution:
4(1-x) + 2x = -3( x + 1)
4(1 - x) + 2x = -3 (x + 1)
4(-x + 1) + 2x = -3 (x + 1)
-4x - 4 + 2x = -3(x + 1)
-2x + 4 = -3 (x + 1)
Answer:
1. 35
2. 145
3. 55
4. 90
5. 145
Step-by-step explanation:
1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145
∠1 = 35
2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal
3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55
4. ∠5 = 90. It is given
5. 145: ∠9 = ∠2 because they are vertically opposite
Answer:
The difference of the two means is not significant, so the null hypothesis must be rejected.
