Answer:
The equation of the line normal to the curve of y=cos1/3x, where x=pi is y= 2√3 x - 10.38
Step-by-step explanation:
The equation of the normal to the curve is
Y- y1 = - 1/m (x- x1)
Where m is the gradient.
See attached picture for the complete solution.
To be a function, it has to pass the vertical line test, which means a vertical line drawn anywhere in the graph should cut the graph only once, not more.
To be a one-to-one function, it has to pass the vertical line test as well as the horizontal line test, which means that a horizontal line drawn anywhere in the graph should cut the graph only once, not more.
<em>Of course, it passes the vertical line test, so its a function. </em>
<em>Does it pass the horizontal line test? </em><em>NO! </em><em>As shown in the attached picture, the blue line (horizontal line) cuts the graph at 3 places. We therefore eliminate choices A and B. We can eliminate choice C because nowhere is it required a function to pass through the origin for it to be one-to-one. Hence, the answer is D (blue line shows this).</em>
<em>ANSWER: D</em>
Answer:
d = (sn - 3)/9
Step-by-step explanation:
Answer:
c = - 32
Step-by-step explanation:
The common ratio r of the sequence is
r =
=
= - 2
To find the next term in the sequence multiply the previous term by r
a = 4 × - 2 = - 8
b = - 8 × - 2 = 16
c = 16 × - 2 = - 32
Answer:
D is equivalent to the expression.
Step-by-step explanation:
The expression that is given equals 2.8, or 2.8x.
A. This expression equals 1.6x, and 1.6x is not equivalent to 2.8x
B. 0.3x + 3.1 = 3.4x. This doesn't have the answer of 2.8x.
C. 1.3 - 0.3x = 1 or x.
D. 3.1 - 0.3x = 2.8x. D is the answer.