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?