Questions on Algebra: Introduction to vectors, addition and scaling answered by real tutors!

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Question 161640: Find the unit vector having the same direction as v if v = 2i - j
Click here to see answer by Alan3354(69443)

Question 161537: If // v // = 2, what is //-4v//?
Click here to see answer by jim_thompson5910(35256)

Question 162965: perform the following operation for the given equation 5(v)for v=-3i+2j
-3i-10j
15i-10j
-15i+10j
-15i+2j

Click here to see answer by jim_thompson5910(35256)

Question 165567: find a unit vector along each of the following vectors;
(i) r=3i^+4j^ (ii)r=12i^-5j^ (iii)r=-2i^-2j^-5k^ (iv)r=i^+2j^+3k^
Click here to see answer by Fombitz(32388)

Question 166233: please graph and classify each system as independent, dependent, and inconsistent
-2x-y=9
3x-4y=-8
Click here to see answer by stanbon(75887)

Question 166636: Find c so that the vectors v = i + j and w = i + c j are orthogonal
Click here to see answer by jim_thompson5910(35256)

Question 166635: Find the dot product v . w and state whether the vexctors are parallel, orthognonal, or neither:
v = i + j and w = - i + j

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Question 166634: Find // v // if v = -5 i + 12 j
Find the unit vector having the same direction as v, if v = - 5 i + 12 j

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Question 172044: I need help in general with this subject, I haven't the slightest clue as to where to begin.
Click here to see answer by solver91311(24713)

Question 176206: i need help with my math. my teacher gave me this assignment and i have never done pre-algebra. please help me!!!!!!!! but my math question is
Describe a quanity each integer could represent
28.-1,000 29.28 30.-126
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Question 178190: The problem is y less than x+3 and y greater then -x+2 I have to graph the compound inequality. This is my first time taking algebra but I know how to do some but not this.
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Question 178247: Is there a different value for the answers among lim(3+x), lim3+x, and lim(x+3)? . For all three values, lim x(arrow sign)2.

Click here to see answer by stanbon(75887)

Question 178248: How do you find the limit of a rational function?, plus what is a rational function?
Click here to see answer by stanbon(75887)

Question 178245: Evaluate the limit if each indeterminate quotient: Hi! I just started calculus and these are the only questions I had trouble with.
j) lim (2-square root over (x+4))/x
x=0
k) lim (square root over x)-2/x-4
x=4
n) lim (2-(square root over x))/(3-(square root over 2x))+1
x=4
o) lim 2^(2x)-2^x/2^x-1
x=0
P.S. All the limit x= number (below where it says lim), there should be an arrow instead of the equal's sign!
Click here to see answer by stanbon(75887)

Question 178243: In the following, find the indicated limit if it exists. Sketch the graph of the function.
f(x) = {4x, x(>or equal to)1/2
{1/x, x<1/2
limf(x)
x =-1/2
Click here to see answer by stanbon(75887)

Question 179643: Explain a process for finding a limit
.
Write a concise description of the meaning of lim f(x)=10 as x approaches to 3
.
Examine the continuity of g(x) = x+3 and the point x=2.

Click here to see answer by Edwin McCravy(20054)

Question 179645: Find k, if g(x) is continuous:
.
g(x)={x+3, x ((equal sign with line crossing through it) 3))
........{2+ √k, x=3).

Click here to see answer by Fombitz(32388)

Question 179640: Find the value(s) of x at which the functions are discontinuous. Show how, thanks!
b.) g(x)=7x-4/x
c.) ((x^2)-1)/x^3
e.) g(x)=13x/((x^2)+x-6)

Click here to see answer by Fombitz(32388)

Question 180732: Find the slope of the tangent to the curve at the given point:
f(x)=(√16-x), where y=5
Click here to see answer by Alan3354(69443)

Question 181338: For the function, use the definition of the derivative at a point to find the slope of the tangent at the indicted point:
F(x) =4x+1 at (2, 9)

Click here to see answer by stanbon(75887)

Question 181339: Determine dy/dx from first principles:
y=(x^2)-9

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Question 181345: The volume of a sphere is given by V(r)=4/3pie(r^3)
a) Find the average rate of change of volume with respect to radius as the radius changes from 10cm to 15 cm.
b) Find the rate of change of volume when the radius is 8 cm

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Question 181349: Determine the equations of both lines that are tangent to the graph of f(x)=x^2 and pass through point (1,-3).
Click here to see answer by stanbon(75887)

Question 181337: Give a geometrical interpretation of the following, where s is a position function:
Lim (as h approaches 0) = (s(6+h)-s(6))/h

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Question 181608: Please help me solve this derivative!:
f(x)=(2x^2)+4x, the answer is suppose to be 4x+4
Click here to see answer by Edwin McCravy(20054)

Question 181622: How do you plot this funcion, f(x)=(2x^2)+4x, into this forumla, (f(x)-f(a))/(x-a) (lim as x approaches a).
Click here to see answer by HyperBrain(694)

Question 181691: two lakes are 5 inches apart on a map.the scale being used is 1in:75 miles.How far apart are the lakes
Click here to see answer by Mathtut(3670)

Question 181692: two towns are actually 150 miles apart on a map,they are 3 inches apart.What is the scale being used?

Click here to see answer by Alan3354(69443)

Question 182411: Find the derivative:
y=(1+(√x))/x
Click here to see answer by nerdybill(7384)

Question 182408: Write an equation of a tangent to the curve at a given point:
y=2x-1/x at P(0.5,-1)
Click here to see answer by Fombitz(32388)

Question 183055: Find the point(s) where the tangent to the curve is horizontal for:
y=2(x-29)(x+1)

Click here to see answer by stanbon(75887)

Question 183074: When is it not appropriate to use the Product Rule? Give Examples please.

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Question 183432: Determine the equation of the tangent to the curve y=((x^2)-1)/(3x) at x=2.
Click here to see answer by Alan3354(69443)

Question 183601: How to solve g(x)=7x+4/x+4? this is college algebra. Thank you sooo much.
Click here to see answer by stanbon(75887)

Question 183715: Differentiate the function. Do not expand any expression before differentiating:
a) f(x)=[(2-x)^4+16]^3
b) f(x)=1/((x^2)-16)^5

Click here to see answer by stanbon(75887)

Question 184987: Describe and find an equation for the shape generated by all points (x,y,z) that are two units from the point (4,-1,1). Please help me!!! Thanks
Click here to see answer by Earlsdon(6294)

Question 187605: D (-1,2,3) and E (4,0,-1) . how would i find the angle vector DE [which i found to be (5,-2,4)] makes with the xaxis ?
Click here to see answer by Alan3354(69443)

Question 187601: Submarine X23 has parametric equation of 2+t= x(t) & 4-3t= y(t) and Submarine Y18 has parametric equation of 11-t= x(t) & 3+at= y(t). how can i find the time they intersect if Submarine X23 left at 2.17 PM ?
Click here to see answer by Alan3354(69443)

Question 187602: Submarine X23 has parametric equation of 2+t= x(t) & 4-3t= y(t) and Submarine Y18 has parametric equation of 11-t= x(t) & 3+at= y(t). how can i find the time they intersect if Submarine X23 left at 2.17 PM ? and Submarine Y18 leaves 2 min. later ?
Click here to see answer by Alan3354(69443)

Question 188855: Write the equation for the line parallel to y = 7x + 2 that passes through the point (7, -7).
Click here to see answer by feliz1965(151)

Question 189100: Find the demensions of rectangle A with the greatest area whose perimeter is 30 feet.
Click here to see answer by Mathtut(3670)

Question 198819: Determine the number of solutions and classify the type of solutions for each of the following equations. Justify your answer.
a) x2 + 3x - 15 = 0
b) x2 + x + 4 = 0
c) x2 � 4x - 7 = 0
d) x2 � 8x + 16 = 0
e) 2x2 - 3x + 7 = 0
f) x2 � 4x - 77 = 0
g) 3x2 - 7x + 6 = 0
h) 4x2 + 16x + 16 = 0
Click here to see answer by solver91311(24713)

Question 198934: Determine the number of solutions and classify the type of solutions for each of the following equations. Justify your answer.
c) ~2x^2 � 4x - 7 ~2 = 0
(~ is to stand for the square root sign, I had no other ideal how to put it on there)
Click here to see answer by J2R2R(94)

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