9,282 Answered Questions for the topic precalculus
Precalculus
9h
Considering only the values of α and β for which secαsecβcos(α−β) is defined, which of the following expressions is equivalent to secαsecβcos(α−β)?
Select the correct answer below:cotβ−cotα1+tanαtanβtanα−tanβsin(α+β)/1−tanαtanβ
Precalculus
9h
Solve the following equation for θ on the interval [0,360∘). −5√3 sec(θ)−8=−18
Select all correct answers.
90∘
210∘
330∘
30∘
45∘
120∘
Precalculus Math
13h
Expand log(a^4/b^−4c^4) to rewrite as a sum, difference, or product of logarithms
Expand log(a^4/b^−4c^4) to rewrite as a sum, difference, or product of logarithms
Read Description Set-builder notation { x |1 ≤ x ≤ 3 or x > 5 }
Is it correct to use the ^(and) sign instead of or in the above notation?
Precalculus Math
17h
expand ln(3/11^k) to rewrite as a sum, difference, or product of logarithms.
expand ln (3/11^k )to rewrite as a sum, difference, or product of logarithms.
Find the radius and the interval of convergence of the power series
summation from n=1 to infinity(x-2)n)/((2n)(3n+2)2
Precalculus
1d
On the graph of f(x)=cotx and the interval [−2π,0), for what value of x does the graph cross the x-axis? Choose all answers that apply.
Select all that apply:
−2π
−3π/2
−π
−π/2
−π/4
Precalculus Calculus
1d
Polynominal With Real Coefficients
Find a degree 3 polynomial with real coefficients having zeros 4 and 2i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation, including P(x)=.
Precalculus Trigonometry
1d
u = 2i - 5j and v = -i + 3j, determine -6u - 3v.
Precalculus Trigonometry
1d
u = <4, -2> and v = <3, 1>, determine -3u + 3v
Precalculus
1d
Solve for θ if −12sinθ=−6√3 and 0≤θ<2π. List your answers as exact answers in terms of π, separated by a comma if necessary.
Precalculus
1d
Solve the following equation for θ on the interval [0,360∘). −7sec(θ)+7=14 Select all correct answers.
Select all that apply:
180∘
270∘
240∘
0∘
225∘
Precalculus
1d
Considering only the values of α and β for which sin(α+β)/sinαsinβ is defined, sin(α+β)/sinαsinβ= ?
Select the correct answer below:cotαcotβ+1tanα−tanβtanα+tanβsin(α+β)1−tanαtanβcotα+cotβ
Precalculus
1d
If 0≤x<2π, find all values of x that satisfy the following equation. cos(3x)=−√3/2
Select the correct answer below:x=4π3 and 5π3x=5π6 and 7π6x=5π18,7π18,19π18x=4π9,5π9,10π9,11π9,16π9,17π9x=5π18,7π18,17π18,19π18,29π18,31π18
Precalculus Calculus
2d
Polynomial Functions
The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1 at x=−4. The y-intercept is y=−0.8.
2d
Use matrices to solve system of eq (if possible). Use Gauss elimination w/ back-substitution. (If no solution, enter NO SOLUTION. If system is dependent, set w = a & solve for x, y & z in terms of a.)
x-4y+3z-2w= 163x-2y+z-4w= -10-4x+3y-2z+w= -5-2x+y-4z+3w= -19(x, y, z, w) = (______)
2d
Write the system of linear equations represented by the augmented matrix. (Use the variables x, y, z, and w, if applicable.)
7 -5 -148 3 -16= ________ ________
State the elementary row operations applied to the first augmented matrix A to transform it to its row-equivalent matrix B.
A =
1
−2
7
6
4
1
B =
1
−2
7
0
16
−41
A: 2R2 + R1B: 5R2 - 15R1C: (-6)R1 + R2D: Interchange R1 and R2E: None of these
Write the matrix in row-echelon form. (Note: Row-echelon forms are not unique.)
1 2 -1 63 7 -5 5-2 -1 -3 2= ____ _____ ____ ____ ____ _____ ____ ____ ____ _____ ____ ____
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