Answer:
984
Step-by-step explanation:
Solve for the base: 14 x 10
Solve for the sides: 2(1/2(10 x 24))
Solve for the backside: 10 x 24
Solve for the slanted plane or front: 14 x 26
The answer is very simple .
First you need to determine the slope, which is the reciprocal of the first line.
Then,
y = mx + b
m => -1/m
The perperdicular line has a new slope equal to m = -1/2
In the formula (y - y1) = m ( x - x1 ) + b , you should sustitude this value.
So the final equation will be
-3 = -1/2 (0) + b
b = - 3
y = (-1/2)x - 3
That is the solution
1: -4/1
2: 1/2
3: 1/4
4: -4/1
I hope those r the correct answers
Answer:
(e) csc x − cot x − ln(1 + cos x) + C
(c) 0
Step-by-step explanation:
(e) ∫ (1 + sin x) / (1 + cos x) dx
Split the integral.
∫ 1 / (1 + cos x) dx + ∫ sin x / (1 + cos x) dx
Multiply top and bottom of first integral by the conjugate, 1 − cos x.
∫ (1 − cos x) / (1 − cos²x) dx + ∫ sin x / (1 + cos x) dx
Pythagorean identity.
∫ (1 − cos x) / (sin²x) dx + ∫ sin x / (1 + cos x) dx
Divide.
∫ (csc²x − cot x csc x) dx + ∫ sin x / (1 + cos x) dx
Integrate.
csc x − cot x − ln(1 + cos x) + C
(c) ∫₋₇⁷ erf(x) dx
= ∫₋₇⁰ erf(x) dx + ∫₀⁷ erf(x) dx
The error function is odd (erf(-x) = -erf(x)), so:
= -∫₀⁷ erf(x) dx + ∫₀⁷ erf(x) dx
= 0
