Answers created by Lotusbluete

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• What is the derivative of #cos^2(x^3)#?
  
• Is #f(x)=(x^2e^x)/(x+2)# increasing or decreasing at #x=-1#?
  
• Is it possible to factor #y=2x^2 + 13x + 6 #? If so, what are the factors?
  
• How do you integrate #int9/((x^2+9)(x+3)(x-3)) dx# using partial fractions?
  
• How do you solve #6/(x-4) = 5/2#?
  
• How do you prove #sin (x+y)sin(x-y) = cos^2y-cos^2x#?
  
• How do you find the inverse of #y=ln(x/(x-1))#?
  
• How do you differentiate #f(x)=sin(1/sqrt(3x^2-4) ) # using the chain rule?
  
• How do you integrate #int(x+1)/((x-5)(x+8)(x+4))# using partial fractions?
  
• What is the derivative of #f(x) = ln sqrt ((2x-8 )/( 3x+3))#?
  
• How do you find the derivative of #y = (1 + cos^2x) / (1 - cos^2x)#?
  
• How do you solve the inequality # 1/(x+1)>3/(x-2)#?
  
• How do you divide #( x^5 - x^3 + x^2 - 2 x - 5)/(x - 2 )#?
  
• How do you differentiate #g(x) = (1/(x^3-1))*sqrt(1+e^(x))# using the product rule?
  
• What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 15 and 13?
  
• How do you find the derivative of #y= ((e^x)/(x^2)) #?
  
• How do you divide #(2+5i)/(5+2i)#?
  
• What is #8x^3 * 7x^2#?
  
• How do you simplify #7+4i div 2-3i#?
  
• How do you differentiate #g(x) = sqrt(x^3-4)cos2x# using the product rule?
  
• How do you simplify #2/9 * 3/5 / (1/2 + 2/3)#?
  
• How do you graph and solve #5 + |1-x/2| >=8#?
  
• How do you divide #u^2 /( u^2-4)#?
  
• How do you divide #(2x^4+4x+1)/(2x+3)#?
  
• How do I find the area of a parallelogram ABCD with AD = 34 and BC = 30, and measure of angle C, 90 degrees?
  
• How do you find the domain of the following function #g(x) = log_3(x - 4)#?
  
• How do you solve #ln((e^(4x+3))/e)=1#?
  
• How do you differentiate #f(x)= (x^3+2x+1)*sqrtsinx# using the product rule?
  
• How do I find the derivative of #ln (6^s)#?
  
• How do you solve the inequality #2x^3 + 13x^2 -8x - 46 >=6#?
  
• Question #03501
  
• How do you solve #log (x+9) - log x = 1#?
  
• How do you solve rational equations #2/(3x+1) = 1/x - (6x)/(3x+1)#?
  
• How do you write the partial fraction decomposition of the rational expression #(s^3+s-4)/( (s^2+1)(s^2+4))#?
  
• How do you differentiate #f(x)=e^(-x)sinx# using the product rule?
  
• How do you solve #z(2 - z) < z - 12#?
  
• A square and an equilateral triangle have the same perimeter. If the diagonal of the square is #12sqrt2# cm, what is the area of the triangle?
  
• Can #y= x^2-3x-28 # be factored? If so what are the factors ?
  
• How do you differentiate #f(x)=cose^(4x)# using the chain rule.?
  
• What is the inverse of #y= e^(x-1)-1# ?
  
• A square has sides of length #s#. A rectangle is #6# inches shorter than the square and #1# inch longer. How do you write an expression to represent the perimeter of the rectangle?
  
• How do you graph and solve #|2x+3| <= 7#?
  
• How do you solve #2 ln x+ ln x^2=3#?
  
• Is #f(x)=-2x^5+7x^2+8x-13# concave or convex at #x=-4#?
  
• How do you differentiate #f(x)=ln(x/(x-1))#?
  
• What is the equation of the line normal to # f(x)=(x-4)(x-2)+2x^2-3x+4# at # x=0#?
  
• Given the set: # {-2,10,-8,-14,x,7,-6} #, for what x would the mean of the set be -8?
  
• How do you simplify # (5-i)/(2-i) - (3-7i)/(2-3i)# and write in a+bi form?
  
• How do you solve # log_2(24) - log_2(3) = log_2x#?
  
• If #f(x)= 1-x^3# and #g(x)= 1/x# how do you find f(g(x))?
  
• How do you solve #log(x^2+4)-log(x+2)=2+log(x-2)#?
  
• How do you graph and solve # abs(x + 4)<= -3#?
  
• How do you solve the inequality #-2x + 3 >7#?
  
• How do you divide #(x^4-2x^2+3)/(x-1)#?
  
• How do you factor the expression #x^2 - x - 6#?
  
• Is it possible to factor #y=2x^2+7x+3 #? If so, what are the factors?
  
• What is the derivative of # f(x)=(sin^2x)/(1-cosx)#?
  
• What is the an equation of the line that goes through (−1, −3) and is perpendicular to the line #2x + 7y + 5 = 0#?
  
• How do you solve the triangle given a = 9, b = 8, and α = 75 degrees?
  
• How do you evaluate #log_15(15)#?
  
• How do you integrate #int (x^2 + 1)/ ((2x-1)(x+1)(x-1)) dx# using partial fractions?
  
• How do you divide #( 2x^3-3x^2+3x-4)/(x-2)#?
  
• What is the equation of the normal line of #f(x)=-2x^3-8x^2-2x# at #x=-1#?
  
• How do you solve #ln (x) + ln (x-2) = ln (3x+14)#?
  
• What is the derivative of #f(x)=1/(xsin^2x+xcos^2x)#?
  
• How do you simplify #sin(a - b)/sina x cosb = 1 - cota x tanb#?
  
• How do you solve #2sintcost-cost=0#?
  
• How do you simplify #(1 - cos^2 theta)/(1 + sin theta) = sin theta#?
  
• How do you decide whether the relation #x = y^2 - 2y + 1# defines a function?
  
• How do you verify #cos4x = 8cos(^4)x - 8cos²x + 1#?
  
• How do you calculate the area of a parallelogram if only two diagonals are given?
  
• How do you find the compositions given #f(x)= 5/(x-6)# and #g(x) = 4/5x#?
  
• How do you find the derivative of #[3 cos 2x + sin^2 x]#?
  
• How do you find the area of a trapezoid when you have the length of every side but not the height?
  
• A trapezoid has an area of 18m square and parallel sides that measure 4m and 2m. Wat is the height of the trapezoid?
  
• How do you differentiate #f(x)=sin((x/(x^2-1))^(3/2))# using the chain rule?
  
• How do you solve #5(2^x) = 3 - 2^(x+2)#?
  
• What is the area of a trapezoid with base lengths of 12 and 40, and side lengths of 17 and 25?
  
• How do you solve #2log_8(2x-5)=4#?
  
• How do you solve #log (x + 3) = log (6) - log (2x-1)#?
  
• How do you find the derivative of #cos(pi*x^2)#?
  
• How do you find the inverse of #f(x) = 3 ln (x-2)#?
  
• How do you find the area of a parallelogram with two sides and an angle?
  
• How do you find #int (x^2) / (x^2 -3x +2) dx# using partial fractions?
  
• The length of the small leg of a 30°-60°-90° triangle is 3. What is its perimeter?
  
• How do you calculate the area of a circle with a radius of 5cm?
  
• A right triangle is formed by the origin and the x- and y-intercepts of the line #11x - 4y = 22#. What is the area of the triangle?
  
• How do you differentiate #f(x) = (x/4)(e^(-x/4))# using the product rule?
  
• What is the derivative of #f(x)=e^(lnx^2)*lne^x#?
  
• What is the area of this regular hexagon?
  
• How do you integrate #int (x+4)/(x^2+4x-5) dx# using partial fractions?
  
• How do you factor completely #x^3+x^2+x+1#?
  
• How do you use polynomial division to determine whether x=3 is a root of #x^3+x^2+15-x#?
  
• How do you differentiate #log_2(x^2sinx) #?
  
• Question #fe6b2
  
• How do you simplify #((2x^-5y^2) / (4x^3y^-4)) ^-3#?
  
• How do you differentiate #f(x)=sqrtsin(1/lnx^2)# using the chain rule?
  
• How do you simplify #2sqrt(-49) + 3sqrt(-64)#?
  
• How do you solve #5/x - 2 = 2/(x+3)#?
  
• How do you find the inverse of #f(x) =e^(2x-1)#?
  
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