7) Determine the equations of the lines tangent to the
graph of 9?2 + 4?2 +...
7) Determine the equations of the lines tangent to the
graph of 9?2 + 4?2 + 18? − 16? − 11 = 0 at the points where x = 0.
Where do these two lines
intersect?
Find the equations of the tangent lines to the circle x^2 + y^2
= 9 which pass through the point (−7, 2).
(Ans.: Using decimal approximations, the lines are approximately
y = −0.847493x − 3.932456 and 0.147493x + 3.032456.)
Solve the problem
43) Find equations for the horizontal and vertical tangent lines
to the curve r = 1 - sinθ, 0 ≤ θ < 2π.
Please check if your answer is correct with the following:
Horizontal: y = 1/4 at (1/2, π/6), y = 1/4 at (1/2, 5π/6), y =
-2 at (2, 3π/2)
Vertical: x = 0 at (0, π/2), x = -3sqrt(3)/4 at (3/2, 7π/6), x =
3sqrt(3)/4 at (3/2, 11π/6)
Find the equation of
the tangent line at x=2 to the graph of
y= x^2-x-7
Write your answer as a
simplified slope-intercept equation y=mx+b.
For
example y=7x-8
Write the equation of the tangent line to the graph of ?(?) =
(2)/(3−?) at the point where x = 4. You must use the limit
definition for any derivatives and show each process by step. Use
proper notation.
Part A: Find the slope of the tangent line to the graph of
f(x)=√(5x+9) at the point (8,7)
Part B: Find an equation of the tangent line to the graph of
f(x)= −3x^2 at the point (−3,−27). Solve your equation for ?.
Part C: Find an equation of the tangent line to the graph of
?(?)= 7/(x-4) at the point (5,7). Solve your equation for ?.
Determine whether the lines ?1:?=6+3?,?=6+2?,?=13+4? and
?2:?=−11+4??=−8+4??=−13+7? intersect, are skew, or are parallel. If
they intersect, determine the point of intersection; if not leave
the remaining answer blanks empty.
A = [4, 5, 9]
B = [-4, 5, -7]
C = [2, -7, -8, 5]
D = [1, -9, 5, -3]
E = [3, 3, -1]
Uz = 1/|z| ^z
d(X,Y) = (Rθ) d = diameter R = Radius θ = Theta
Find
a. Uc
b. d (D, C)
c. Let P = B + 3E, UP =
d. A x B
e. 3B x E
f. C x D