1,067 Answered Questions for the topic Pre-Calculus
06/20/16
if the radius of the circle in the figure is 20 cm and length equals 85 cm, what is the radian measure of angle
If the radius of the circle in the figure is 20 cm and length equals 85 cm, what is the radian measure of angle?
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05/26/16
Pre Calculus
Which of the answer choices has matrix multiplication defined?A B C D⌈1 2⌉ ⌈5 6 7⌉ ⌈-1 2 3⌉ [5 9 7]
⌊3 4⌋ ⌊8 9 0⌋ l8 -4 0l
..................⌊6 7 1⌋
a) ACb) BAc) ABd) CD
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05/26/16
Pre Calculus
Determine the quadrant when the terminal side of the angle lies according to the following conditions: sin (t) < 0, csc (t) > 0.a) Quadrant Ib) Quadrant IVc) Quadrant IId) Quadrant III
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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
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)
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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