Answer:
area = 45
Step-by-step explanation:
triangle = 7*6. / 2 = 21
rectangle 4*6=24
24+21= 45ft squared
Just divide it by two. That just means half of 526, which is 263.
Base on the image that you attached that is composed of a diagram that explains and ask to evaluate the indefinite integral of ArcTan(4x)dx, I conclude and formulate some equation that would become a solution of this problem and the outcome to that is 4ln(u)+c, I hope you are satisfied with my answer.
Denote the circle of radius
by
.
is simple and closed, so by Green's theorem the line integral reduces to a double integral over the interior of
(call it
):



is a circle of radius
, so we can write the double integral in polar coordinates as

a. For
, we have

b. Let
denote the integral with unknown parameter
,

By the fundamental theorem of calculus,

has critical points when

If
, then line integral is 0, so we ignore that critical point. For the other two, we would find
.
Answer:
C
Step-by-step explanation:
Since XY = XZ = 6, then the triangle is isosceles.
The base angles are therefore congruent, that is
∠ Y = ∠ Z = 70°
The sum of the 3 angles in the triangle = 180°, thus
∠ X = 180° - (70 + 70)° = 180° - 140° = 40° → C