Answers created by Karthik G

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• How do you evaluate #Sin^-1 ( sqrt2 / 2) #?
  
• How do you find the axis of symmetry, graph and find the maximum or minimum value of the function #y=x^2+4x-1#?
  
• How do you simplify #(16x^12 )^(3/4)#?
  
• How do you verify #Cos 2x= 2 sin (x+pi/4) cos (x+pi/4)#?
  
• How do you solve #4/(9y-6)=2#?
  
• What is the Cartesian form of #( 7 , (23pi)/3 ) #?
  
• How do you factor the trinomial #x^2+13x+36=0#?
  
• How do you find the slope and y intercept of #y=4-5x#?
  
• How do you evaluate #sin(11(pi)/2) #?
  
• How do you write the partial fraction decomposition of the rational expression # (x+1)/(x^2(x-2))#?
  
• How do you simplify #( 2 + 3i) - ( -4 - 4i)#?
  
• What is the vertex of # y= 2|x|^2 – 1 #?
  
• What is the antiderivative of #(16 - x)^(3/2)#?
  
• The roots of #x^2 + 2x + c = 0# differ by #4i#. What are the roots, and what is the value of #c#?
  
• What is the derivative of #sqrt(x - 1)/sqrtx#?
  
• How do you find the domain and range for #h(x)=x^2+2#?
  
• How do you solve #(r+7)^(3/2) = 729#?
  
• What is the vertex form of #y=x^2-16x+63#?
  
• What is the slope intercept form of the line passing through #(12,7) # with a slope of #-1/5 #?
  
• What is #sectheta+cos^2theta -costheta# in terms of #sintheta#?
  
• How do you solve #3/2 (x+8)=6x#?
  
• What does #sin(arc cot(5))+5sin(arc tan(2))# equal?
  
• What is the trigonometric form of # (1+5i) #?
  
• What is #sectheta*csctheta # in terms of #costheta#?
  
• What does #arcsin(sin ((-pi)/2)) # equal?
  
• How do you find the derivative of the function: #arccos(arcsin x)#?
  
• How do you divide # (6-i) / (1-i) #?
  
• Is #3x + 5y =0# a direct variation equation and if so, what is the constant of variation?
  
• How do you write an inverse variation equations given x = 12 when y = 3.?
  
• How do you find the x and y intercepts for #x+3y=-1#?
  
• How do you find the axis of symmetry, and the maximum or minimum value of the function #f(x) = 8 - (x + 2) ^2#?
  
• What is the vertex form of #y= 2x^2+4x-30 #?
  
• How do you find the equation of a line that Contains point (5, -3) and is perpendicular to y=5x?
  
• How do you find the slope and y intercept for #x=4#?
  
• What are the zeroes of #f(x) = x^3 – 3x^2 – 16x + 48#?
  
• How do you express #tan theta - cot^2theta # in terms of #cos theta #?
  
• How do you determine the constant of variation for the direct variation given by #4x=-y#?
  
• How do you find the vertex and intercepts for #y = -2(x+1)^2 +7 #?
  
• What are the vertex, axis of symmetry, maximum or minimum value, domain, and range of the function #y = - x^2- 4x + 3#?
  
• How to find the asymptotes of #y = (7x-5)/(2-5x)# ?
  
• How do you know if #g(x) = (x - 1) (x + 3) (1 + x) (3x - 9)# is an even or odd function?
  
• How do you compute (fog) and (gof) if #g(x) = x^2 - 8#, #f(x) = (-x +1)^(1/2)#?
  
• How do you multiply #(3-2i)(5-6i)#?
  
• How do you write the partial fraction decomposition of the rational expression #(x-2) /( x^2+4x+3)#?
  
• How do you find the multiplicative inverse of 5+2i in standard form?
  
• How do you use composition of functions to show that #f(x)=(2+x)/x# and #f^-1(x) = 2/(x-1)# are inverses?
  
• How do you solve #log_ 4 (x – 6) + log _ 4 x = 2#?
  
• How do you express #sin theta - csc theta + sec theta # in terms of #cos theta #?
  
• What is #f(x) = int x^3-x# if #f(2)=4 #?
  
• What is the measure of one of the exterior angles of a regular polygon with ten sides?
  
• How do you differentiate #f(x)=(1-x)tan^2(2x)# using the product rule?
  
• How do you find the inverse of #y=log_2(x+4)#?
  
• What is the inverse of the function #f(x) = -3x + 3#?
  
• How do you find the inverse of #y = (e^x)/(1+2e^x)#?
  
• How do you find the derivative of #y= log _ 10 x/x#?
  
• How do you simplify #(5^8)^3#?
  
• How do you evaluate [sin 70 degrees/cos(-430 degrees)] + tan(-70 degrees)?
  
• How do you simplify #abs(-12 + 22.5i)#?
  
• What is #int (sin x)/(cos^3 x) dx #?
  
• What is the centroid of a triangle with corners at #(2, 7 )#, #(1,5 )#, and #(7 , 5 )#?
  
• How do you integrate #int x cos 3 x dx # using integration by parts?
  
• How do you divide #(4+5i)/(2-3i)#?
  
• How do you find the derivative of #y= int 6*(sin(t))^2 dt# from a=e^x to b=1?
  
• How do you find the amplitude and period of a function #y = -tan(x - pi/2)#?
  
• What is the vertex of #y= -7(2x-1)^2-3#?
  
• For what values of x, if any, does #f(x) = 1/((x+8)(x-7)) # have vertical asymptotes?
  
• How do you solve #tan 27 = cot (x+9) #?
  
• What is #costheta-tantheta*sectheta # in terms of #sintheta #?
  
• How do you express #tan theta - cot theta +sintheta # in terms of #cos theta #?
  
• What is the Inverse cosine of (-rad3/2)?
  
• What is the trigonometric form of # (-5+11i) #?
  
• What is the derivative of # (lnx)^(sinx)#?
  
• What is the derivative of #sin^2(x)#?
  
• How do you find the domain for #f(x)= 2sinx-3#?
  
• How do you solve #4.19=-log x#?
  
• How do you evaluate # e^( ( 5 pi)/4 i) - e^( ( 3 pi)/8 i)# using trigonometric functions?
  
• What is the trigonometric form of # (5-2i)(2+3i) #?
  
• How do you write the partial fraction decomposition of the rational expression #(x+2) / (x(x-4)) #?
  
• If #f(x)= sin6 x # and #g(x) = e^(3+2x ) #, how do you differentiate #f(g(x)) # using the chain rule?
  
• How do you solve #log_5(5)+log_5(2x)+log_5(3)=98 #?
  
• How do you differentiate the following parametric equation: # x(t)=e^(t^2-t) , y(t)=t^2-t #?
  
• How do you find the derivative of #sin(2x+1)#?
  
• Question #30519
  
• How do you factor the trinomial #2x^2 + 9x + 4#?
  
• What is #int tan(2x-3)-cot(3x) #?
  
• How do you multiply #e^(( 11 pi )/ 8 i) * e^( pi/2 i ) # in trigonometric form?
  
• What is the vertex of # y= 1/3(x/5+1)^2+4/15 #?
  
• Is it possible to have a equilateral right triangle?
  
• What is the slope of the line normal to the tangent line of #f(x) = x^3-sqrtx # at # x= 3 #?
  
• What is #cos(2arcsin(-1/2))#?
  
• What is #f(x) = int xe^(x-3)dx# if #f(0)=-2 #?
  
• How do you find the period of #y = tan(8x)#?
  
• Question #4601b
  
• What is the implicit derivative of #3=1/y -x^2 #?
  
• How do you find the critical points to graph #y=sin (x/2)#?
  
• How do you find the inverse of #f(x)= -log_5 (x-3)#?
  
• How do you prove # tan^2x / (secx - 1) = secx + 1 #?
  
• What is #cottheta-csctheta+cos^2theta# in terms of #sintheta#?
  
• What does #arcsin(cos ((-pi)/6)) # equal?
  
• What is #(3tantheta)/4# in terms of #costheta#?
  
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