21,200 Answered Questions for the topic algebra 2
Solving a trigonometric equation
How can I solve the equation 4 sin2x + 8 cos x - 7 =0 for 0° ≤ x ≤ 360° ?
Algebra 2
07/30/24
A radioactive element has decayed to 1/32 of its original concentration in 30 days. What is the half-life of this element?
A radioactive element has decayed to 1/32 of its original concentration in 30 days. What is the half-life of this element?
Find the critical points of the linear equation y = 4x^3 - 3x
So to be clear, when I state critical point, I want the maxima, minima, and any zeros in the domain of the function.
Expressing in polar form
How can I express -1- i√(3) in polar form that is z = r(cos θ + i sin θ) ?
07/05/24
Finding the stationary points of a given function
If given f(x) = x3ex,a) How can I find coordinates of the stationary point(s) of f(x)b) How can I determine the nature of the stationary point of f(x).c) On what interval is the function f(x)...
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07/05/24
Stationary points of a given function
If given f(x) = x3e3,a) How can I find coordinates of the stationary point(s) of f(x)b) How can I determine the nature of the stationary point of f(x).c) On what interval is the function f(x)...
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Finding the condition that m and c satisfy with a given circle
How can I find the condition that m and c satisfy if y = mx + c touches the circle x2 + y2 - 2ax = 0
Using De Moivre's theorem to prove Trigonemtric Identity
How can I use De Moivre's Theorem to prove,sin 3θ = 3 cos2 θ sin θ - sin3 θ = 3 sin θ - 4 sin3 θ ?
Algebra 2
06/06/24
state what each probability represents.
3. A box contains 4 black shirts, 8 blue shirts, 4 black pants, and 10 blue pants. Determine the probability of randomly selecting a blue piece of clothing or a pair of pants. Use this formula 𝑷(𝑨...
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06/03/24
3.1 6, a quadratic function is given
A quadratic function f is given.f(x) = −4x2 − 20x + 4(a)Express f in vertex form.(b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.)vertex:X intercept...
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06/03/24
3.2 Polynomial functions and their graphs (15)
The graph of a polynomial function is given.P(x)= -(1/2)x^3 + (3/2)x - 1
The x y-coordinate plane is given. The curve enters the window in the second quadrant, goes down and right becoming less...
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06/03/24
In interval notation (17) 3.2 Polynomial functions
A cardboard box has a square base, with each edge of the base having length x inches, as shown in the following figure. The total length of all 12 edges of the box is 144 in.A box with a square...
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06/03/24
A polynomial function is given. U(x) = −x3 + 3x2. Y→_______ as x→ ∞
3.2 Polynomial functions (a)
Algebra 2
06/03/24
find the inverse of f(x)=2(x+3)^3
answer key has (-6+cube root of (4x))/2where does the 4 come from?
Algebra 2 Geometry
05/26/24
Given point C is on segment AB,AB= 13x-22,AC=2x+10,BC=5x-2, solve for x
I need help figuring out this problem step by step because it is kind of difficult to figure out. I also need to know what to do to solve problems like these.
Binomial expansion
The first three terms in ascending powers of x, in the expansion of (1 + a/x)n are 1 + 24/x + 252/x3.How do I find the values of a and n?
How to find dy/dx of given functions
How do I find dy/dx of the following functions:i) y = (ex + 1/x)ln(x2 - e2x)ii) y = (∛(x2) + √(x))/xFor both do not simplify the answer
Finding values with a given equation of a curve
The curve y= (a2/(x+1))-b2x at the point (-2,2) has the gradient -25.i) How do I find the values of a and b?ii) How do I find the equation of the tangent line of the given curve at point x=1?iii)...
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Geometric Progression
Three consecutive terms of a geometric progression are x-1, x2-1, and x+1. How do I find two possible values of x?
05/23/24
Equation of line in point-slope form given 2 points
Find the equation of the line in point-slope form given the two points (2,3) and (5,-7)
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