Answers created by Lotusbluete

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• What is #(2-(1*6) - (9-5))) -: 4#?
  
• What are all the factors of 360?
  
• How do you divide #1/10 -: 6/19#?
  
• How do you find the zeros of #f(x) = x^3 + 4x^2 - 25x - 100#?
  
• How do you condense #6log_2 (2/3)+2log_2(1/6)-4log_2(2/9)#?
  
• If #A= <6 ,9 ,-1 ># and #B= <9 ,-1 ,8 >#, what is #A*B -||A|| ||B||#?
  
• Question #6b302
  
• Using the integral test, how do you show whether #sum1 / (n (log n)^p ) # diverges or converges from n=3 to infinity?
  
• How do you find the determinant of #((1, 2, 1), (-2, 0, 2), (1, 4, 3))#?
  
• A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of #10 #, #8 #, and #16 #, respectively. What is the rectangle's area?
  
• How do you find the inverse of #A=##((1, 1, 1, 0), (1, 1, 0, -1), (0, 1, 0, 1), (0, 1, 1, 0))#?
  
• What is the angle between #<9,7,1># and #<8,3,6> #?
  
• How do you find the determinant of #((1, 2, 0, 0, 4), (0, 3, 0, 0, 5), (0, 1, 0, 2, 0), (3, 0, 0, 1, -1), (0, -2, -1, 0, -3))#?
  
• How do you prove #(1+tan x) / (1+cot x) = 2#?
  
• How do you express #4 cos^2 theta - sec^2 theta + 2 cot theta # in terms of #sin theta #?
  
• How do you simplify #csc x(sin x + cos x)#?
  
• Using the limit definition for derivatives, how do you find the derivative of (a) #f(x)=x^2-6x#; (b) #f(x)=4sqrt(x)#?
  
• How do you simplify #-1^15#?
  
• How do you find the inverse of #A=##((3, 1, 0), (1, -1, 2), (1, 1, 1))#?
  
• Using the limit definition, how do you find the derivative of #f(x)=3(x^(-2)) #?
  
• How do you solve #x-y+z=3# and #2y-z=1# and #-x+2y= -1# using matrices?
  
• How do you verify #sinx/cosx + cosx/sinx = 1#?
  
• How do you differentiate #f(x)=x/ln(sqrt(1/x))# using the chain rule?
  
• How do you simplify #sqrt(7497)#?
  
• How do you prove # tan^2x-1 = 1+tanx #?
  
• How do you simplify #i^38#?
  
• A bag contains 3 red, 5 yellow, and 7 purple marbles. What is the probability of drawing a purple marble followed by a red marble?
  
• How do you prove #sin^(2)(x+π/4)-sin^(2)(x-π/4)=2sinx*cosx#?
  
• How do you divide #(x^4 - 7x^3 + 2x^2 + 9x)/(x^3-x^2+2x+1)#?
  
• How do you use the ratio test to test the convergence of the series #∑ ((4n+3)^n) / ((n+7)^(2n))# from n=1 to infinity?
  
• How do you simplify #i^3(2i^6-4i^21)#?
  
• How do you expand #ln(x(x+11))^3#?
  
• A triangle has sides A, B, and C. Sides A and B are of lengths #5# and #7#, respectively, and the angle between A and B is #(3pi)/4 #. What is the length of side C?
  
• How do you solve # sin x = -cos^2x-1# in the interval [0, 2pi]?
  
• What is the distance between #(2 , (5 pi)/8 )# and #(3 , (1 pi )/3 )#?
  
• How do you find the determinant of #((-9, -7), (4, 5))#?
  
• The square of #x# is equal to 4 times the square of #y#. If #x# is 1 more than twice #y#, what is the value of #x#?
  
• How do you prove #sin(x) x tan(x) + cos(x) = sec(x)#?
  
• How do you simplify #i^15#?
  
• Circle A has a center at #(1 ,-2 )# and a radius of #3 #. Circle B has a center at #(-4 ,-8 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them?
  
• How do you differentiate #f(x)=cos^2(1/(3x-1))# using the chain rule?
  
• How do you express #sin^2 theta - sec theta + csc^2 theta # in terms of #cos theta #?
  
• Circle A has a center at #(3 ,1 )# and a radius of #6 #. Circle B has a center at #(-2 ,1 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them?
  
• A circle's center is at #(4 ,6 )# and it passes through #(3 ,1 )#. What is the length of an arc covering #(pi ) /3 # radians on the circle?
  
• How do you find the value of #cot((3pi)/2)#?
  
• How do you differentiate #log_2 (x)#?
  
• How do you integrate #int (x-9)/((x+3)(x-7)(x-5)) # using partial fractions?
  
• How do you differentiate #f(x)=xlnx # using the product rule?
  
• How do you solve #log_4 x^2 - log_4 (x+1) = 5#?
  
• A triangle has sides A, B, and C. Sides A and B are of lengths #6# and #1#, respectively, and the angle between A and B is #(7pi)/8 #. What is the length of side C?
  
• How do you simplify #sqrt3/(sqrt6 -1) - sqrt3/(sqrt6 + 1)#?
  
• A parallelogram has sides A, B, C, and D. Sides A and B have a length of #7 # and sides C and D have a length of # 4 #. If the angle between sides A and C is #(7 pi)/12 #, what is the area of the parallelogram?
  
• How do you find the derivative of #sqrt(x-3)# using the limit process?
  
• How do you simplify #sin(x+y)+tan(x-y)*cos(x+y)# to trigonometric functions of x and y?
  
• How do you find the area #(x - 2 )² + (y + 4 )² = 9#?
  
• What is the slope of #f(x)=-e^(x-3x^3) # at #x=-2#?
  
• How do you use the binomial formula to find expand #(2x+3)^3#?
  
• A triangle has sides A, B, and C. Sides A and B have lengths of 10 and 8, respectively. The angle between A and C is #(11pi)/24# and the angle between B and C is # (3pi)/8#. What is the area of the triangle?
  
• Question #b7e2c
  
• Question #a2cb0
  
• How do you graph #(x+2)^2 + (y+1)^2 =32#?
  
• How do you solve #log_[2] (x+20) - log_[2] (x+2) = log_[2] x#?
  
• Given #f(x) = (3-2x) / (2x+1)# and #f(g(x)) = 7 - 3x# how do you find g(x)?
  
• What is #int x/ sqrt(x^2 - 8^2) dx#?
  
• How do you simplify #sqrt(7x)(sqrt x-7sqrt 7)#?
  
• What is the probability of getting a sum of either 7, 11, or 12 on a roll of two dice?
  
• How do you use the definition of a derivative to find the derivative of #f(x) = x + sqrtx#?
  
• How do you simplify #(3+i)/ (-2+i)#?
  
• A 6-foot ladder touches the side of a building at a point 5 feet above the ground. At what height would a 15-foot ladder touch the building if it makes the same angle with the ground as the shorter ladder?
  
• A parallelogram has sides 12cm and 18cm and a contained angle of 78 degrees. Find the shortest diagonal?
  
• Five cards are dealt from a standard deck of 52 cards. How many different 5-card hands will contain exactly 3 kings and exactly 2 aces?
  
• How do you graph # x^2-14x+y^2-14y+89=0#?
  
• A parallelogram has sides A, B, C, and D. Sides A and B have a length of #5 # and sides C and D have a length of # 6 #. If the angle between sides A and C is #(7 pi)/18 #, what is the area of the parallelogram?
  
• How do you find the compositions given #f(x) = 2x + 3# and #h(x) = 2x^2 + 2x + 1#?
  
• How do you solve #(x-3)^2-18=0#?
  
• How do you express #f(theta)=sin^2(theta)-3cot^2(theta)+csc^4theta# in terms of non-exponential trigonometric functions?
  
• How do you find the roots, real and imaginary, of #y= 2 x(x - 4) -(2x-1)^2 # using the quadratic formula?
  
• How do you find all the real and complex roots of #x^4-5x^3+11x^2-25x+30=0#?
  
• What is the equation of the normal line of #f(x)=-x^4+2x^3+2x^2-x-4# at #x=1#?
  
• How do you divide #5x^2 - 6x^3 + 1 + 7x# by #3x - 4#?
  
• If #f(x) = x^3 - 15/x#, what is #f(-1/3)#?
  
• How do you prove: # sinx/cosx + cosx/sinx = 1#?
  
• How do you factor #r^4 + r^3 − 3r^2 − 5r − 2#?
  
• If A = {x | x is an odd integer}. B = {x | x is an even integer}, C = {2, 3, 4, 5}, and D = {14, 15, 16, 17}, what are the elements of the set A #nn# D?
  
• How do you find the derivative of #cos (2x)#?
  
• Question #00484
  
• A triangle has sides A, B, and C. Sides A and B have lengths of 12 and 5, respectively. The angle between A and C is #(5pi)/24# and the angle between B and C is # (7pi)/24#. What is the area of the triangle?
  
• The sum of three consecutive even integers is 228, how do you find the integers?
  
• How do you express #f(theta)=-cos^2(theta)-7sec^2(theta)-5csc^4theta# in terms of non-exponential trigonometric functions?
  
• How do you evaluate #Log_10 (1/10^x)#?
  
• How do you find the roots, real and imaginary, of #y=(x – 7 )^2-8x+4# using the quadratic formula?
  
• Given #f(x) = 2x - 5# and #g(x) = 2x^2 + 7# how do you find f(g(x))?
  
• Is it possible to factor #y=x^2-7x+10 #? If so, what are the factors?
  
• How do you differentiate #f(x)=1/(ln(1-(e^(-cos(x^2)))))^(3/2)# using the chain rule?
  
• What is the equation of the line that is normal to #f(x)= cosx-sin^2x# at # x=(4pi)/3 #?
  
• A triangle has sides A, B, and C. The angle between sides A and B is #(7pi)/12#. If side C has a length of #1 # and the angle between sides B and C is #pi/12#, what is the length of side A?
  
• How do you find the derivative of #f(x) = cos(pi/2)x# using the chain rule?
  
• How do you find the inverse of #f(x) =(x + 2)^2 - 4#?
  
• How do you solve #−10 + log_ 3 (n + 3) = −10#?
  
• How do you rationalize the denominator of #(7-sqrt5)/(7+sqrt5)#?
  
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