1,063 Answered Questions for the topic Pre-Calculus
05/26/16
Pre Calculus
Find a unit vector in the same direction as the given vector: v = 3i + 4 j.a) u=3/25i+4/25j b) u=3/√7i+4/√7jc) Vector v = 3i + 4 j is a unit vector.
d) u=3/5i+4/5j
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05/26/16
Pre Calculus
Find the projection of vector u onto vector v; projvu= ((u•v)/llvll2)vu = i – 5j and v = i + 5j
a) -12/13i-60/13j
b) 1/13i+5/13j
c) 12/13i+60/13j
d) -1/13-60/13j
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05/26/16
Pre Calculus
Use DeMoivre’s Theorem to find the power of the complex number and write your solution in the form, a + bi.a) −4 − 4i b) -4√2-4√2ic) −8 − 8i
d) -2√2-2√2i
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05/26/16
Pre Calculus
Rewrite the given parametric equations in Cartesian form: x(t)=4-t y(t)=3t+2
a) y=14-3x
b) y=3x+2
c) y=x+4
d) y=4-x
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05/21/16
Pre Calculus
Find the exact value of the expression tan(7pi/12)
a) 2(1+√3)-2
b) 2(1-√3)-2
c) -2(1+√3)-2
d) -2(1-√3)-2
05/21/16
Pre Calculus
Use the given triangle to evaluate the trigonometric expression. The graph is a right triangle, the side on the y-axis =5 and the side o the x-axis =12. The hypotenuse is not given. sin(y/2)=?
a)...
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05/21/16
Pre Calculus
Find the value for cos(x/2) if the following conditions hold: sin(x)=-12/13 and x is in quadrant 3
a) -√17/6
b) -√7/24
c) -√7/6
d) -√17/24
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05/21/16
Pre Calculus
Simplify the expression
tan(1/2 x)+tan(1/8 x)
1-tan(1/2 x)tan(1/8 x)
a) tan(-5x/8)
b) tan(5x/8
c) tan(-3x/8)
d) tan(3x/8)
05/19/16
Use basic trigonometric identities to simplify the expression: 3sin^3 (x) csc(x) + cos^2 (x) + 2cos (-x) cos (x) = ?
Use basic trigonometric identities to simplify the expression: 3sin3 (x) csc(x) + cos2 (x) + 2cos (−x) cos (x) = ?a) 3b) sin2 (x)c) tan2 (x) + 1d) cos2 (x)
05/19/16
-2i=5j+(3i+4j+(-(1/3)i+(5/2)j)
-2i=5j+(3i+4j+(-(1/3)i+(5/2)j)
a) (14/3)i+(3/2)j
b) (16/3)i+(13/2)j
c) (2/3)i+(23/2)j
d) (8/3)i+(13/2)j
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05/19/16
Find an equation for the parabola described by its vertex, directrix, and focus point:
Find an equation for the parabola described by its vertex, directrix, and focus point: vertex (√2, -√3), directrix x=2√2, focus (0, -√3)
05/19/16
Rewrite the given parametric equations in Cartesian form
Rewrite the given parametric equations in Cartesian form: x(t)=2t-1 and y(t)=5t
a) y=5x+5
b) y=(5/2)x+5/2
c) y=(5/2)x+1
d) y=5x+1
05/19/16
cos(2?)=1/v2 and 180 degrees<?<270 degrees
Find the value for cos(θ) if the following conditions hold: cos(2θ)=1/√2 and 180o<θ<270o
a) -(√1+(√2))
b) -(√2+(√2))/4
c) -(√2(√2))/2
d) -(√2(√2))
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05/19/16
Find 4B (matrix)
Find 4B.
⌈2 -4⌉ = B
⌊5 -1⌋
⌈-8 -16⌉=a
⌊-20 -4⌋
⌈8 -16⌉=b
⌊20 -4⌋
⌈2 -4⌉=c
⌊20 -4⌋
⌈8 -16⌉=d
⌊5 -1 ⌋
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05/19/16
Write v in the form v = ai + bj
If vector v has an initial point at P1 and a terminal point at P2, write v as multiples of the basis vectors i=〈1, 0〉j=〈0, 1〉 That is, write v in the form v = ai + bj.P1 = (0, −2), P2 = (0, 45) and...
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05/19/16
Determine the angle measure between vectors u and v: u = – 3i + 5j and v = 6i + 2j
Determine the angle measure between vectors u and v: u = – 3i + 5j and v = 6i + 2j .a) 0°, the vectors are parallel.b) 90°, the vectors are perpendicular to each other.c) 97.8°d) 102.5°
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05/19/16
(5/3)^6x+2=(9/25)^-x+2
Given the exponential equation:(5/3)6x+2=(9/25)-x+2, find a common base and solve for x.a) -2/3b) -3/2c) 3/2d) 2/3
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05/17/16
Pre Calculus
Given the exponential equation:(5/3)6x+2=(9/25)-x+2, find a common base and solve for x.a) -2/3
b) -3/2
c) 3/2
d) 2/3
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05/17/16
Pre Calculus
How many winning lottery numbers are possible of a pick 5 where you must match all five numbers from 52 balls? a) 2,598,960b) 6.7 × 1065c) 311,875,200d) 120
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05/17/16
Pre Calculus
Solve the equation in the real number system: 9x3+9x2-4x-4=0
a)-3, 0, 3
b)-2/3, 2/3, 1
c)-1, -2/3, 2/3
d)-5, 1, 5
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05/16/16
Pre Calculus
For the rational function f(x)=(x2-1)/(x3+9x2+14x), find the domain.
a) (-∞, -7)∪(-7, -2)∪(-2, ∞)
b) (-∞, -7)∪(-7, -2)∪(-2, 0)∪(0, ∞)
c) (-∞, 0)∪(0, ∞)
d) (-∞, 0)∪(0, 2)∪(2, 7)∪(7, ∞)
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05/16/16
Pre Calculus
Given the center, a vertex, and one focus, find an equation for the hyperbola: center: (4, −2); vertex (4, 2); one focus (4, -2+4√5)
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05/16/16
Pre Calculus
Find an equation for the parabola described by its vertex, directrix, and focus point: vertex (√2,-√3); directrix x=2√2; focus (0,-√3)
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05/16/16
Pre Calculus
Given the equation of an ellipse, identify the center point: 4x2 + 40x + 25y2 - 100y + 100 = 0
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05/16/16
Pre Calculus
Given the vectors, a = 3i + 4j, b = -2i + 5j, c = 10i -j, find a + (b - c) = ?
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