Answers created by Leland Adriano Alejandro

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• What is the Cartesian form of `(-2,(-11pi) /16)`?
  
• How do you differentiate `2=ye^(x-y^3)+xe^(x-y)`?
  
• How do you find the important points to graph `f(x)=x^2+2x`?
  
• How do you find an equation of the tangent line to the curve at the given point `y=3arccos(x/2)` and `(1,pi)`?
  
• How do you differentiate `e^(-10x)`?
  
• What is `int ( 2 + x ) / sqrt ( 4 - 2x - x^2 dx`?
  
• What is the area enclosed by `r=theta^2-2sintheta` for `theta in [pi/4,pi]`?
  
• `int color(white)(.) sin(x^2)` ?
  
• A snowball melts at a rate of 0.05 [cm3 / s]. At what speed does the surface area decrease when the sphere is 10 [cm] in diameter?
  
• Prove that the radius of the circle with equation x² + y² = 25 is perpendicular on the tangent line in P(3,4) to the circle? Thank you!
  
• Points A and B are at `(9 ,9 )` and `(7 ,8 )`, respectively. Point A is rotated counterclockwise about the origin by `pi` and dilated about point C by a factor of `2`. If point A is now at point B, what are the coordinates of point C?
  
• What is the equation of the line with slope `m= -3/17` that passes through `(11,1)`?
  
• How do you solve `-9(-a – 1) = 8a + 14`?
  
• How do you know how many solutions `2x^2+5x-7=0` has?
  
• How do you simplify `2(8+x)+2x-x`?
  
• What is the period of `y=sin6theta`?
  
• Question #3bad8
  
• What is the vertex form of `y= (13x-4)(2x-12)+2x^2+2x`?
  
• How find the values of x when given y?
  
• Question #2e813
  
• How do you find the axis of symmetry, graph and find the maximum or minimum value of the function `y=x^2+6x+2`?
  
• What is the 4th coordinate for the given coordinates (-1,2),(3,6), and (-2,4) to become a parallelogram?
  
• How do you find the critical numbers for `h(t) = (t^(3/4)) − (9*t^(1/4))` to determine the maximum and minimum?
  
• Question #027a6
  
• Question #d5882
  
• A line segment is bisected by a line with the equation `5 y + 2 x = 1`. If one end of the line segment is at `(3 ,4 )`, where is the other end?
  
• Question #6607c
  
• Question #e19c2
  
• A line passes through `(4 ,9 )` and `(2 ,7 )`. A second line passes through `(5 ,6 )`. What is one other point that the second line may pass through if it is parallel to the first line?
  
• How do you find the local maximum and minimum values of `g(x)=x^3+5x^2-17x-21`?
  
• How do you find the derivative of `f(x)=-3x+7`?
  
• What is the equation of the line tangent to `f(x)=2xcos3x` at `x=pi/3`?
  
• How do you differentiate `1=e^(xy)/(e^x+xy)`?
  
• How do you find the derivative of `5^tanx`?
  
• Question #fc138
  
• Question #8c45d
  
• Question #f058d
  
• How do you integrate `f(x)=(x^2+x)/((3x^2-1)(x+7))` using partial fractions?
  
• What is the equation of the line tangent to `f(x)=ln(x^2+3)/x` at `x=-1`?
  
• Jon's weight loss for each week of the month is 4 lbs., 3.5 lbs., and 2 lbs. He gained 4.5 lbs. the last week. If Jon originally weighed 153 lbs., how much does he weigh now?
  
• How do you find the Least common multiple of 4, 30?
  
• How do you write the prime factorization of 22?
  
• How do you evaluate `abs(j-h)` when h=5, j=6?
  
• How do you solve `\frac { 3} { 2} f = \frac { 1} { 2}`?
  
• How do you evaluate `(-2)+3`?
  
• How do you find the ratio in simplest form: 30 minutes to 2 hours?
  
• How do you evaluate `10-(-10)-7-5`?
  
• How do you write the prime factorization of 28?
  
• I cannot spend more than $35 at the school Book Fair. Posters are $5. How many books could I buy if they are $6.50 each and I want to buy one poster?
  
• A road repair crew can usually fix 825 potholes each week. How many potholes can they fix in 6 weeks?
  
• What is the unit rate of $30 for 4lb?
  
• A triangle has corners at `(-4 ,2 )`, `(7 ,1 )`, and `(2 ,-7 )`. If the triangle is dilated by a factor of `2/5` about point #(-1 ,4 ), how far will its centroid move?
  
• What is the perimeter of a triangle with corners at `(1 ,5 )`, `(6 , 2 )`, and `(2 ,7 )`?
  
• The base of a triangular pyramid is a triangle with corners at `(3 ,8 )`, `(2 ,7 )`, and `(3 ,6 )`. If the pyramid has a height of `4`, what is the pyramid's volume?
  
• The base of a triangular pyramid is a triangle with corners at `(5 ,8 )`, `(3 ,4 )`, and `(4 ,8 )`. If the pyramid has a height of `6`, what is the pyramid's volume?
  
• A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of `7` and `8` and the pyramid's height is `5`. If one of the base's corners has an angle of `pi/4`, what is the pyramid's surface area?
  
• A triangle has corners at `(7 ,3 )`, `(2 ,5 )`, and `(1 ,4 )`. What is the area of the triangle's circumscribed circle?
  
• A triangle has corners at `(3 , 3 )`, `(4 ,2 )`, and `(8 ,9 )`. What is the radius of the triangle's inscribed circle?
  
• The base of a triangular pyramid is a triangle with corners at `(6 ,5 )`, `(2 ,2 )`, and `(4 ,7 )`. If the pyramid has a height of `8`, what is the pyramid's volume?
  
• For what value of k are the graphs of `12y= -3x+ 8` and `6y= kr- 5` parallel? For what value of k are they perpendicular?
  
• How do you solve `\frac { 1} { 4} x - 10= 2`?
  
• How do you change the rectangular equation `x+y=0` into polar form?
  
• How do you solve `-1/2x+1=-x+8`?
  
• What is the perimeter of a triangle with corners at `(1 ,4 )`, `(6 ,7 )`, and `(4 ,2 )`?
  
• How do you differentiate `arcsin(csc(4x)) )` using the chain rule?
  
• What is the range of the function `f(x)=3x^2+6x-8`?
  
• How do you divide `(-3x^3 - 12x^2-6x+5 )/((5x+2)`?
  
• Two circles have the following equations `(x +5 )^2+(y +6 )^2= 9` and `(x +2 )^2+(y -1 )^2= 81`. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
  
• How do you find the volume of the box given height: 2x - 1, Length: 5x - 4, width: x + 3?
  
• How do you write the standard form of the equation of the circle whose diameter has endpoints of (-2, 4) and (4, 12)?
  
• How do you write the nth term rule for the arithmetic sequence with `a_7=34` and `a_18=122`?
  
• Given `(2x)/(4pi) + (1-x)/2 = 0`, how do you solve for x?
  
• How do you evaluate `sin(sin^-1(3/5))`?
  
• How do you simplify the expression `sin(arctan x)`?
  
• `A(-2, -1), B(2, 2), C(-1, -4), D(3,-1)`. What is the length of `AB` and `CD`?
  
• How do you write the point-slope form of an equation for the line through points at (8,4) and (7,6)?
  
• How do you find the domain and range of `(2/3)^x – 9`?
  
• How do you rationalize the denominator and simplify `4sqrt(7/(2z^2))`?
  
• What is the slope of the line normal to the tangent line of `f(x) = cosx+sin(2x-pi/12)` at `x= (5pi)/8`?
  
• How do you differentiate #y=b^x?
  
• What is `-5/8 -: 8/9?`
  
• What is the period of `f(t)=sin( ( 2t ) /3 )`?
  
• How do you divide `(-6x^4-3x^3-2x^2-4x-7)/(x^2+3)`?
  
• In an isosceles triangle, if the measure of the vertex angle is 106°, what is the measure of each base angle?
  
• Question #c7f2c
  
• How do you find the axis of symmetry, graph and find the maximum or minimum value of the function `y = 2x^2 - 4x -3`?
  
• What is the slope of the tangent line of `r=2theta-3sin((13theta)/8-(5pi)/3)` at `theta=(7pi)/6`?
  
• How do you find the midpoint of A(7,-2) and M(10,10)?
  
• If a 12-hour clock face reads exactly 7 o'clock, what time would the clock show 11,997 hours later?
  
• A circle has a center that falls on the line `y = 1/3x +7` and passes through `( 3 ,7 )` and `(7 ,1 )`. What is the equation of the circle?
  
• How do you write `0.00000000016` in scientific notation?
  
• How do you find the exact value of `sin(cos^-1(sqrt3/2))`?
  
• How do you divide `( 2i -4) / ( 7 i -2 )` in trigonometric form?
  
• Thomas records the masses of several rocks as 7.40 g, 7.85 g, 7.60 g, and 7.40 g. What is the mode of Thomas's data set?
  
• How do you graph `y=2x-5`?
  
• How do you find the domain of `y=sqrt(x^2+4)`?
  
• `12^a = 18` & `24^b=16` then find the value of b in terms of a ?
  
• How do you simplify `2-5(9-4*sqrt(25))^2` using order of operations?
  
• How do you solve `x^2(4-x)(x+6)<0`?
  
• How do you solve `log_7(-2b+10)=log_7(3b)`?
  
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