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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