Answer:
Step-by-step explanation:
Given
See attachment
To answer this question, we start by equating the denominators of each option to 0; then, solve for x
(a):
This gives
Set the denominator to 0
Solve for x
Factorize:
This implies that:
From above, one of the values of x is 7.
This implies that x = 7 is an excluded value for this quotient.
<em>Other options do not need to be checked, since there is only one answer.</em>
The correct answer is the fourth choice
Answer:
B) -3.464
Step-by-step explanation:
∫₀³ g'(x) cos²(2g(x) + 1) dx
Using u substitution:
u = 2g(x) + 1
du = 2g'(x) dx
½ du = g'(x) dx
When x = 0, u = 11.
When x = 3, u = -3.
½ ∫₁₁⁻³ cos²(u) du
You can use a calculator to solve this, or you can evaluate algebraically.
Use power reduction formula:
½ ∫ (½ + ½ cos(2u)) du
¼ ∫ du + ¼ ∫ cos(2u) du
¼ ∫ du + ⅛ ∫ 2 cos(2u) du
¼ u + ⅛ sin(2u) + C
Evaluating from u = 11 to u = -3:
[¼ (-3) + ⅛ sin(-6) + C] − [¼ (11) + ⅛ sin(22) + C]
-⁷/₂ + ⅛ sin(-6) − ⅛ sin(22)
−3.464
<h2>Question:- Area of the given diagram</h2>
<h2>Answer :- </h2>
Divide the diagram as shown in attachment.
Now first calculate the area of the rectangle having side 1 and 12
So area = length ×breadth
Area = 1× 12 = 12 unit²
Now find the Area of the remaining triangle with sides 12,13,5 units
So
Now put the value as -> base= 5 and height= 12
Now add both areas for your answer
Answer:
n=6
Step-by-step explanation:
1/2 n + 3 = 6
Subtract 3 from each side
1/2 n +3-3=6-3
1/2n = 3
Multiply each side by 2
1/2 n * 2 = 3*2
n = 6
