2,218 Answered Questions for the topic Pre Calculus

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
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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)... more
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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)
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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)
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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

Rewrite the complex number in polar form
Rewrite the complex number in polar form, z=r(cos(θ)+i sin(θ)) a) cos(pi/2)+i sin(pi/2) b) cos(pi/4)+i sin(pi/4) c) cos(pi/6)+i sin(pi/6) d) cos(pi/3)+i sin(pi/3)  
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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)
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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
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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... more
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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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05/16/16

Pre Calculus
Find the dot product between the vectors u and v: u = 6i - j and v = 4i + 2j
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