06/25/25

Odd result when considering x³ - y³ = 91
By inspection one may notice that x = 3, y = -4 is a solution & so must be x = 4, y = -3. If this equation defines a cubic, then with 2 real roots there must be 1 more real solution. To find it... more
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06/24/25

Multiplying binomials with proofs
Multiply (x-6)(x+2) and provide a proof for the solution. I don't know where to start and how to do the proof part, isnt the solution itself the proof?
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06/23/25

Applications Variation
The gravitational Force F between an object and the Earth is inversely proportional to the square of the distance from the object to the Center of the Earth if an astronaut weighs 215 lb on the... more
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06/22/25

h(t) = -16t^2 + b. h(0) = 3364. Approximately how many seconds after being dropped does the function estimate the object will hit the ground? A) 7.25 B) 14.50 C) 105.13 D) 210.25
SAT Practice Test #7 Module 2 Question 19h(t) = −16t^2 + b. The function h estimates an object’s height, in feet, above the ground t seconds after the object is dropped, where b is a constant. The... more
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06/21/25

Applied Math- Cosine law Applied math- Cosine law
Alex, Curtis and Michael go boating together on a calm day. They leave the marina dock and travel at a speed of 40 km/h due east for 3 hours. Then, they travel 22° west of south for 2 hours at a... more
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06/20/25

Finding equations of the tangent lines
Find equations of the tangent lines to the curve that are parallel to the line x − 2y = 4. (Enter your answers as a comma-separated list of equations.)Hi, can someone please explain the steps to... more
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06/19/25

Why do we use "tener" when referring to age instead of "ser"?
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06/16/25

How can I improve my Spanish pronunciation?
To improve your Spanish pronunciation, it’s essential to listen and repeat. I work with students using audio and video from native speakers and help them identify sounds that don’t exist in... more
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06/16/25

What’s the best way to learn Spanish as a complete beginner?
The best way to learn Spanish as a beginner is to start with simple conversations from day one. As a tutor, I use a communicative approach that combines essential vocabulary, basic grammar... more
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06/16/25

Composite Function Problem
 Given the composite function h(x) = f(f(x)) = (x+1)2+1h(x) = f(f(x)) = (x+1)2+1 and f(x) = x+1f(x) = x+1. Find the value of h(3)h(3).
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06/14/25

How do I approach finding the slope of the third line?
Line l1 has equation 3x - 2y = 1 and goes through A (-1, -2). Line l2 has equation y = 1 and meets line l1 at point B. Line l3 has positive slope, goes through point A, and meets l2 at point C. The... more
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06/12/25

How do you solve 2x+4=6 for x?
In order to solve for this, we want to think: how can we get x by itself on one side of the equation?In order to accomplish this, we can start by subtracting 4 on each side, which will get the 2x... more
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06/07/25

Solve for x for the following equation: 3(x-2)^2+2(x+1)(x-1)=x^2+4x+11
Step 1:First term:(x-2)^2=x^2-4x+43(x-2)^2=3(x^2-4x+4)=3x^2-12x+12Second term:(x+1)(x-1)=x^2-1 (difference of squares)2(x^2-1)=2x^2-2Left hand side becomes:3x^2-12x+12+2x^2-2=5x^2-12x+10Right hand... more
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06/05/25

Use a table of values to estimate the value of the limit
Use a table of values to estimate the value of the limit (correct to three decimal places). If you have a graphing device, use it to confirm your result graphically.
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06/05/25

Guess the value of the limit (if it exists)
Guess the value of the limit (if it exists) by evaluating the function at the given numbers:x = 5.1, 5.05, 5.01, 5.001, 5.0001, ... 4.9, 4.95, 4.99, 4.999, 4.9999Guess the value of the limit... more
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05/28/25

Write an integral
Let the region R be the area enclosed by the function f(x) = ln(x) +2 and g(x) =4/3x. Write an integral in terms of x and also in terms of y that would represent the region R If necessary round... more
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05/28/25

integral with a derivative function
if g'(x) = f(x) with g(-11)=a express the value of the integral of -4 to 0 f(x+5)dx in terms of a
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04/26/25

Find equation of tangent line of the function f(x)= (x-7)/(x-1) at (3,-1)
Find the equation of the tangent line of the rational function, f(x)= (x-7)/(x-1) at the point (3,-1). Keep as point-slope form.
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04/20/25

How do you say, “I need help” in French ?
Well it depends to who you are talking to. There are several ways of asking for help.
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04/06/25

Find all solutions of each equation in the interval [0,2π). 2 cos2Θ + 3 cos Θ = 2
Find all solutions of each equation in the interval [0,2π). 2 cos2Θ + 3 cos Θ = 2Please say why some solutions will work and some will not.Thank you!
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04/06/25

Find all solutions of each equation in the interval [0,2pi) (sinx+1)(tanx-1)=0
Find all solutions of each equation in the interval [0,2π) (sinx+1)(tanx-1)=0why is 3π/2 not part of the final solution set?
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03/28/25

Finding window dimensions
A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. Find the exact dimensions (in ft) of a Norman window of maximum area if the total perimeter... more
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03/25/25

Concavity with implicit differentiation
If (2,6) is a point on the solution curve of the differential equation y+xy'=5, determine the concavity of the solution curve at the point
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03/08/25

if the wrench just fits the hexagonal nut what is the value of x
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02/13/25

A jeweler is designing a spherical metal bead with a hole drilled through the center to the opposite side. The bead has radius r millimeters and the hole has a radius of 1 millimeter.
(a) Integrate to find the volume V (r) of the bead, where the axis of rotation is parallel tothe hole.Hint: There are two valid ways of setting this up.(b) Suppose the jeweler needs the bead to be... more
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