Answers edited by mason m

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• What is the vertex form of #y=x^2 - 9x + 2 #?
  
• How do you implicitly differentiate # x^3 - 3xy + 2y^3 = 3#?
  
• What is the difference between a Taylor series and a MacLaurin series?
  
• How do you prove #(1 - sin2x) /(cos2x) = (cos2x) / (1 + sin2x)#?
  
• What are the critical points of #f(x) = e^x(3x^2 - 2x +5)#?
  
• How do you simplify #(7-4i)+(8+6i)#?
  
• What is the ordered pairs that satisfy the equation #6x - 1y = 21#?
  
• Is #f(x)=(x^2+2x-2)/(2x-4)# increasing or decreasing at #x=0#?
  
• How do you write the equation #x^2 + y^2 – x + 2y + 1 = 0# into standard form?
  
• How do you factor #8x^3*y^6 + 27#?
  
• How do you divide #3+i div 1-4i#?
  
• How do you solve #4sinxcosx=1#?
  
• What is the derivative of #sqrt( x^2-1)#?
  
• How do you differentiate # y = sin (x^2+2)# using the chain rule?
  
• What planet has a similar size as Earth?
  
• How do you find the derivative of # sin(2x + 2)#?
  
• How do you find the area of a trapezoid with base length 28, height 10, top side 8, and side lengths 12 and 15?
  
• How do you find the inverse of #g(x)= log_3(x+2)-6#?
  
• How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_pi 14.2#?
  
• What is the equation of the tangent line of #f(x)=1/(2x)+4 # at #x=2#?
  
• How do you differentiate #f(x)= tanx# twice using the quotient rule?
  
• What is the standard form of #y= (3/5x^2-1/2)(1/6x+7/8) #?
  
• What is the equation of the line tangent to # f(x)=4x^2 + 4x - 4# at # x=-2#?
  
• What is the equation of the line tangent to #f(x)=cos x + sin^2 x # at #x=0#?
  
• What is the value of #x# in a triangle with angles #70, 60#, and #8x + 2#?
  
• How do you combine #3/(x-3) - 1/x #?
  
• How do you find the derivative of #1/(x-5)#?
  
• What is the formula for the radius of a semi-circle?
  
• A rectangle has sides of #(7 + sqrt2)# feet and #(7 - sqrt2)# feet long. What is the area and the perimeter of the rectangle?
  
• How do you differentiate #f(x)=sinx+cosx-x^3# using the sum rule?
  
• How do you differentiate #f(x)=4/sqrt(x-2)# using the quotient rule?
  
• The hypotenuse of a right triangle is 10 inches. The lengths of the two legs are given by 2 consecutive even integers. How do you find the lengths of the two legs?
  
• How do you write the equation of the circle whose diameter goes from A(7,-2) to B(1,12)?
  
• How do you differentiate #f(x)=(e^x-3lnx)(tanx+2x)# using the product rule?
  
• What is the equation of the tangent line of #f(x)=cotx*secx# at #x=pi/4#?
  
• How can I predict molecular geometry?
  
• Given the functions #g(x) = 3/(x - 1)#, #f(x) = (x - 1)/(x - 3)# what is g(f(x))?
  
• Is #f(x)=4x-e^(3x-2) # increasing or decreasing at #x=-2 #?
  
• How do you find the second derivative of #y=cos(x^2)# ?
  
• How do you find the zeros of # y = 7x^2 + x -2 # using the quadratic formula?
  
• How do I algebraically simplify this expression #((x-5)/2-1)/3#?
  
• What is the name of #Al(OH)_3#?
  
• How do you differentiate # g(x) = (4cosx) / (sin^3x) #?
  
• What is the instantaneous velocity of an object moving in accordance to # f(t)= (t^2sin(t-pi),tcost) # at # t=pi/3 #?
  
• Why is derivative of constant zero?
  
• What is the general form of the equation of a circle given the Center (-1,2) and Solution Point (0,0)?
  
• How do you differentiate #f(x)=(ln(x))^x #?
  
• What is the derivative of #sqrttan x #?
  
• How do you find the complex conjugate of #-0.5 + 0.25i#?
  
• How do you add variables in math like #6x + 8y#?
  
• How do you find the derivative of #y=sin^2x/cosx#?
  
• What is the equation of the line passing through #(93,78)# and #(-68,44)#?
  
• How do you find local maximum value of f using the first and second derivative tests: #f(x)= x^2 + 8x -12#?
  
• What is a non-square rhombus?
  
• How do you differentiate # y=sec^2 (3 - 8x)# using the chain rule?
  
• What is the complex conjugate of #10+6i#?
  
• How do you find the area of an equilateral triangle that has a perimeter of 30 inches?
  
• A second order reaction is 40% completed after one hour. What is the rate constant for this reaction?
  
• A rectangle is to have an area of 16 square inches. How do you find its dimensions so that the distance from one corner to the midpoint of a nonadjacent side is a minimum?
  
• For what values of x, if any, does #f(x) = x/(xe^x-3) # have vertical asymptotes?
  
• How do you calculate something on a pH scale?
  
• What part of the cell membrane is hydrophilic?
  
• If #f(x) = -2x^2 + 2x -2#. what is #f(a-1)#?
  
• What is the domain of the function #p(w)=2/(3w^9)#?
  
• What is the equation of the line normal to #f(x)= xsin^2(2x) # at #x=pi/8#?
  
• Question #58899
  
• How do you write a polynomial function given the real zeroes -2, -1, 0, 1, and 2 and coefficient 1?
  
• What is the distance between #(6,-2)# and #(-9,13)#?
  
• How do you differentiate #f(x)=(ln(x-(e^(tan(x^2)))))^(3/2)# using the chain rule?
  
• If one leg of a triangle is 4 feet and the other leg is 12 feet, what is the hypotenuse?
  
• How would you balance: AlBr3 + K2SO4 --> KBr + Al2(SO4)3?
  
• How do you write #30 times 29# using factorials?
  
• What kind of atoms are found in lipids?
  
• What is the derivative of #sqrt( 2)#?
  
• Why is derivative of constant zero?
  
• What is the charge on the polyatomic ions nitrite and chlorite?
  
• How much will it cost to paint a circular sign with a radius of 4 feet if the painter charges $1.50 per square foot?
  
• How do you solve for x in #9^x=1/81#?
  
• How do you simplify #sqrt(-24) / sqrt(-2)#?
  
• How do you find the asymptotes for #f(x) = x / (3x(x-1))#?
  
• How do you factor the trinomial #a^3 - 6a^2 - 27a#?
  
• What is the density of acetylene gas measured at pressure of 0.75 atm and temperature of 250°C?
  
• What is the Pascal triangle up to 30 rows?
  
• For what values of x is #f(x)=(x^2−x)e^x# concave or convex?
  
• Is #f(x)=-2x^4-x^3+4x+4# concave or convex at #x=-1#?
  
• How do you find the end behavior of # f(x) = (x+1)^2(x-1) #?
  
• How do you find the inverse of #f(x)= -log_5 (x-3)#?
  
• What is #sin(x-90)#?
  
• 9 is what percent of 9?
  
• What are the extrema of #f(x) = 64-x^2# on the interval #[-8,0]#?
  
• What is the value of cos 75°?
  
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