Answers created by Maurizio Giaffredo

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• Find the vertex and axis of symmetry of this: `y = -3 (x + 4)^2 +2`?
  
• What is the area of an equilateral triangle with height of 9 inches?
  
• What is the area of a regular hexagon with a 48-inch perimeter?
  
• How many isosceles triangles can be made in the x-y plane that satisfy all of the following conditions: a. Integer coordinates, b. Area = 9, c. A vertex at the origin?
  
• What is one proof of the converse of the Isosceles Triangle Theorem?
  
• Is a rhombus a square?
  
• How is the area of a wall calculated?
  
• A sugar cube has a volume of 0.216 cubic inches. What is the length of each edge?
  
• The area of the floor in a rectangular kitchen is 209,196 square centimeters. The area of each square tile is 36 square centimeters. How many square tiles are needed to tile the kitchen floor?
  
• Why is a square a parallelogram?
  
• What is the sum of the measures of the angles of a trapezoid?
  
• What was the original proof that Pythagoras himself used to prove his theorem?
  
• What is the width of a rectangle if its perimeter is 216 centimeters and its width is 24 centimeters less than its length?
  
• Given a right triangle ABC with right angle at C, if a is 4 and c is 8, what is b?
  
• The length of a rectangular pool is 2 feet less than twice the width. If the area of the poet is 264 f`t^2`. What are the dimensions of the pool?
  
• A rectangle has a perimeter of 70 centimeters and a length of 21 centimeters. What is its width?
  
• How are the Pythagorean Theorem and the Distance Formula related?
  
• How do you differentiate `f(x)=(2x^2-x+1)/(2x-1)` using the quotient rule?
  
• How do you solve for x?: `e^(-x)+x = 1/3?`
  
• What is `int_(2)^(3) (x-1)/(x^3)+x^2dx`?
  
• Question #af811
  
• On what intervals the following equation is concave up, concave down and where it's inflection point is (x,y) `f(x)=x^8(ln(x))`?
  
• How do you differentiate `f(x) = tan(x + sec x)`?
  
• What are the removable and non-removable discontinuities, if any, of `f(x)=(3x^2-7x-6 )/ (x-3 )`?
  
• How do I find the direction angle of vector `<-sqrt3, -1>`?
  
• How do you solve `x log 4 +log 8 = -x log 2 + log 10`?
  
• What is the inverse function of `F(x) = (7/x) - 3`?
  
• How do you take the derivative of `Tan(2x+1)`?
  
• What is the directrix of a parabola?
  
• In a triangle ABC, the measure of angle A is fifteen less than twice the measure of angle B. The measure of angle C equals the sum of the measures of angle A and angle B. What is the measure of angle B?
  
• What is `int x^2ln((1+x)/(1-x))dx`?
  
• Does `a_n=(2+n+(n^3))/sqrt(2+(n^2)+(n^8))`converge? If so what is the limit?
  
• What are the extrema and saddle points of `f(x,y) = 2x^(2) + (xy)^2 + 5x^2 - y/x`?
  
• How do you find the exact value of `sec(theta) = -1`?
  
• What is `lim_(t-> 0) (1/t -1/t^2-t)`?
  
• Do polynomial functions have asymptotes? If yes, how do you find them?
  
• What is the complex conjugate of `-1 + 2sqrt2i`?
  
• How do you find the first and second derivatives of `(3x-2)/(2x-5)` using the quotient rule?
  
• What is the farthest apart the particles ever get if the positions of two particles on the s-axis are `s_1=cos(t)` and `s_2=cos(t+pi/4)`?
  
• How do you find the derivative of `y=ln(1+e^x/1-e^x)`?
  
• How do you integrate `int 3xe^(x^2+1) dx`?
  
• How do you integrate `(1+x) /(1+ x)^2 dx`?
  
• How do you integrate `(sqrt (x +1) / x) dx`?
  
• How do you solve `sin^2 x- 8 sin x - 4= 0` and find all values of x in the interval`[0, 360^o)`?
  
• How do you differentiate `(4x-3)/sqrt (2x^2+1)`?
  
• How do derivatives relate to limits?
  
• How do you find the indefinite integral of `(10e^(-2x^5))/x^6 dx`?
  
• How do I evaluate `int1/[x^2(sqrt(25-x^2))] dx` ?
  
• How do you Use Simpson's rule with `n=10` to approximate the integral `int_0^2sqrt(x)*e^(-x)dx`?
  
• What is the derivative of `sqrt(200-x^3)`?
  
• How do I evaluate the integral `intsin4x cos2x dx`?
  
• Question #d0701
  
• How do you find the exact length of the polar curve `r=1+sin(theta)` ?
  
• How do you draw the slope field of the differential equation `dy/dx=x/4(3-y)` ?
  
• How do you use L'hospital's rule to find the limit `lim_(x->oo)xsin(pi/x)` ?
  
• Question #21638
  
• What is the cube root of `(sqrt3 -i)`?
  
• How does the formula `1/90((b-a)/2)^5(f^(4)(zeta))` work for calculating error?
  
• How do you apply the exponential properties to simplify `(-8x)^3(5x)^2`?
  
• How do you graph exponential decay?
  
• How do I use properties of limits to evaluate a limit?
  
• Question #c8320
  
• Why do you need to find the trigonometric form of a complex number?
  
• Question #830d3
  
• How do you graph the equations `(x - 2)^2 + (y + 2)^2 = 8` and `r = 4 \cos \theta - 4 \sin \theta`?
  
• Question #f2e4c
  
• What is the derivative of a hyperbola?
  
• What is the integral of `e^(x^3)`?
  
• What is the radius of convergence?