y(x)=sin^2 (x/4)+12sin(x/4)
y(x) = sin^2(x/7) +16sin(x/7)
From the Chain Rule,
y'(x) = 2sin(x/4)*(1/4)cos(x/4) + 12(1/4)cos(x/4).
At x=4pi, the slope of the tangent line is
y'(4pi) = 2sin(4pi/4)*(1/4)cos(4pi/4) + 12(1/4)cos(4pi/4).
= 2sin(pi)*(1/4)cos(pi) + 12(1/4)cos(pi)
= 2(0)(1/4)(-1) + 12(1/4)(-1)
= -3
The angle (in radians) that the tangent line makes to the
positive x-axis is
pi - arctan(3)= 1.249 rad =71.565 degree
The answer is 70 the third option.
Let x represent the number of $10 traveler's checks she has.
Let y represent the number of $20 traveler's checks she has.
Solve system of equations.
x + 5 and 4x^2
Multiply the exponent of x by 2giving
The answer is
x^2 evaluates to
Multiply a and 5
Multiply a and 1
The a just gets copied along.
The answer is a
a
5*a evaluates to 5a
Answer:
The slope is -2
Step-by-step explanation:
y+6=24-2x
Subtract 6 from each side
y+6-6=24-6-2x
y = 18 -2x
Rewriting
y = -2x+18
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is -2 and the y intercept is 18