Given: f(x) = x 2−36 x 2−7x+6 Find the following
a. V.A.
b. Domain
c. H.A.
d. X-intercept
e. Y-intercept
f. Graph
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Find the tangential and normal components of the acceleration vector. ? (?) = ? ? ?̂+ √2 ? ?̂+ ? −??̂
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-Let O (0,0,0) be the origin and A(a+1,b,c) where a,b and c are the last three digits of your student ID. Find, describe and sketch the set of points P such that OP is perpendicular to AP
- Let u=<a , b+1 , c+1> find and describe all vectors v such that |u x v|=|u|
a=1 , b=1 , c=9
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For f(x)=x^2+x-2/x^2-4, determine the equation for any vertical asymptotes, the equation for any horizontal asymptotes, and the x-coordinates of any holes
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csc beta = 2/3. What is the beta to the nearest degree?
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Determine an example of a vector field that would yield a positive value for a line integral around a circle that is traversed once clockwise for any nonzero radius and explain how you know your vector field is correct.
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Express the following systems of equations in matrix form as A x = b. What is the rank of A in each case (hint: You can find the rank of a matrix A by using rank = qr(A)$rank in R. For each problem, find the solution set for x using R.
a. X1+5X2+2X3=5
4X1-X2+3X3=-8
6X1-2X2+X3=0
b. 3X1-5X2+6X3+X4=7
4X1+2X3-3X4=5
X2-3X3+7X4=0
X2+3X4=5
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. Let Π be a finite incidence geometry. Prove that, if every line in Π has exactly n points and every point in Π lies on exactly n + 1 lines, then Π is an affine plane. Come up with a similar criterion for finite geometries satisfying (EP) (those geometries are called projective planes).
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Explain how to solve the following problems step by step, and reason it should be solved that way:
1) Find domain for each problem and explain in brief in each case. How do you find the domain of these problems without using a graph (don't state the problem only)? Explain this: why is there a difference between in the domain of an even and an odd indexed radical? Why the domain of a function with a square root in the denominator IS different than the domain of a function with square root NOT in the denominator?

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why are the domain and range of square root function restricted to [0,∞) ?
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Which option below provides the best description of the relationship between a quadratic parent function and a square root parent function?
A. The square root function is the quadratic function reflected across the y-axis.
B. The quadratic function and square root functions have no inverse.
C. The square root function is the quadratic function reflected across the line y = x, with a limited domain.
D. The square root function is the quadratic function reflected across the x-axis
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Graph the square root of the following function. State the domain and range of the square root of the function.
y = -2x + 4
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239.Brett and Jordan are out driving in the coordinate plane, each on a separate straight road. The equations Bt = (−3, 4) + t[1, 2] and Jt = (5, 2) + t[−1, 1] describe their respective travels, where t is the number of minutes after noon. (a) Make a sketch of the two roads, with arrows to indicate direction of travel. (b) Where do the two roads intersect? (c) How fast is Brett going? How fast is Jordan going? (d) Do they collide? If not, who gets to the intersection first?
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A ball is thrown vertically upward from a height of 5 ft with an
initial velocity of 40
feet per second. Note that the acceleration of the ball is given by
a(t) = −32 m/s2.
How high will the ball go? When does the ball hit the ground? What
is the velocity of the ball when it hits the ground?
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