Answer: A
Step-by-step explanation:
To find the inner product of two vectors (a,b) and (c,d) you would use the equation (a * c) + (b * d)
So for (7,2) and (0,-2) the inner product would be
(7 * 0) + (2 * -2)
= 4
The vectors are only perpendicular when the inner product is equal to 0. Since it is equal to -4 in this case, the vectors are not perpendicular.
A -4; no
YES! quite easily.
I hope you can see the two pairs of corresponding angles between the parallel lines. they'll be equal
and then there's a pair of vertically opposite angle at centre.
that means all pairs of corresponding angles are equal, thus, triangles are similar by AAA
Step-by-step explanation:
Since the first coordinates are both (0,0) it implies that the line passes through the origin.
The slope of the line is therefore 5/8
The equation:
y-0=5/8(x-0)
y=5/8x
Answer:
a. ∫ xSinx dx
iii. integration by parts
u =x and dv= sinx
b. ∫ x⁴/(1+x³). dx
ii. neither
Long division is an option here before integration is done
c. ∫ x⁴. e^x³. dx
i. substitution
where u = x⁵
d. ∫x⁴ cos(x⁵). dx
i. substitution
where u = x⁵
e. ∫1/√9x+1 .dx
i. substitution
where u = 9x+1
Answer:
see below
Step-by-step explanation:
The following definitions apply:
if p, then q . . . . conditional statement
if q, then p . . . . converse
if ~p then ~q . . . inverse
if ~q then ~p . . . contrapositive
You have ...
p = "it is October 31"
q = "it is Halloween"
(a) The <em>converse</em> is ...
If it is Halloween, then it is October 31.
(b) The <em>inverse</em> is ...
If it is not October 31, then it is not Halloween.
(c) The <em>contrapositive</em> is ...
if it is not Halloween, then it is not October 31.
