Answer:
1
Step-by-step explanation:
f'(x) = -d(cos(x))/dx*sin(x) + d(sin(x))/dx * cos(x)
f'(x) = sin(x) * sin(x) + cos(x)*cos(x)
f'(x) = 1
I haven't got theta to comply with your request. The best I can do us use the word theta. x has exactly the same meaning, and the answer would be 1.
A function have just one output (y) for each input (x). A value of x cannot have different corresponding values of y.
Tables B, C and D have differnet values of y (outputs) to a value of x(input), those are not functions.
Table A has one output (y) for each input (x). As you can see the output (y) can be the same for two or more inputs (x). It is a function
Covert standard form to slope-intercept form
4x + 7y + 3 = 0
7y = -4x - 3
y = (-4/7)x - 3/7 so the slope of this line is -4/7
The slope perpendicular to this is - 1 (-4/7) = 7/4
The required line has equation:-
y - 1 = (7/4)(x - (-2))
y - 1 = (7/4)x + 14/4
y = (7/4)x + 18/4 That is the answer in slope intercept form
Multiply through by 4
4y = 7x + 18
7x - 4y = 18 in Standard form Answer
Answer:
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In step 1 the y-intercept should be plotted at (0,-6)
Step-by-step explanation:
Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.
Since the formula is y = -3/4x -6
We just insert a 0 insted of the "x"
y = -3/4(0) -6
y=0-6
y=6
So the y-intercept sould be placed in (0,-6)
That's what he did wrong when graphing the equation.