Answers edited by John D.

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• Question #53a4c
  
• Question #51a7e
  
• Question #c6a5a
  
• Question #1488e
  
• How do you determine all values of c that satisfy the mean value theorem on the interval [-1,1] for #(x^2 − 9)(x^2 + 1)#?
  
• Question #8bf85
  
• Thoughts on the recent announcement made about the future of the Socratic website? Share them here!
  
• Question #585c4
  
• How do you find the derivative of #w=1/sinz#?
  
• How do I find #log 10#?
  
• How do I graph #16x^2+y^2+32x-18y=119# algebraically?
  
• How do you graph and find the discontinuities of #y=2/(x+1)#?
  
• What Is #y+3=7(x-2)# written in standard forma?
  
• Question #68c69
  
• If the area under the curve of f(x) = 25 – x2 from x = –4 to x = 0 is estimated using four approximating rectangles and left endpoints, will the estimate be an underestimate or overestimate?
  
• Is #f(x)=1/(x-1)-2xlnx# concave or convex at #x=0#?
  
• How do you solve # sqrt3cscx-2=0#?
  
• How do you evaluate the expression #(1/5)^-4/((1/5)^-2(1/5)^-5)# using the properties?
  
• How do you factor #(3x^2+4x-15)/(2x^2+3x-9)#?
  
• What is the derivative of #sec^2(x^3)#?
  
• How do you solve #\frac { 7} { x + 6} + \frac { 5} { x - 6} = \frac { 6} { ( x + 6) ( x - 6) }#?
  
• A model train, with a mass of #4 kg#, is moving on a circular track with a radius of #15 m#. If the train's kinetic energy changes from #32 j# to #12 j#, by how much will the centripetal force applied by the tracks change by?
  
• How do you integrate #(3x+5)/(x^2+4x+13)# using partial fractions?
  
• Question #5dd43
  
• What is the surface area produced by rotating #f(x)=1/e^(x^2), x in [-1,1]# around the x-axis?
  
• How do you find the domain and range of #y=-abs(x)+2#?
  
• How do you solve for y in # x = | y + 5 | #?
  
• Question #7b4a1
  
• Question #3dc62
  
• What is the derivative of #cot^2(x)#?
  
• The absolute temperature of a gas is increased four times while maintaining a constant volume. What happens to the pressure of the gas?
  
• How do you differentiate #f(x)= ( 2 - xsecx )/ (x -3) # using the quotient rule?
  
• How do you find the Maclaurin Series for #cos (x)^2#?
  
• How do you solve #|6x - 5| > 0#?
  
• Dose #sum ((n^2+3)/(2+n^2))^(n^3)# with #n = 0 -> # infinity converge ?
  
• A piston is connected by a rod of #14 cm# to a crankshaft at a point #5 cm# away from the axis of rotation. Determine how fast the crankshaft is rotating when the piston is 11 cm away from the axis of rotation and is moving toward it at 1200 cm/s?
  
• What are the x intercepts for #f(x) = -2x^2 + 4x + 3#?
  
• How do you evaluate #2+6(9-3^2)-2#?
  
• What is the area between #y = secx# and #y = cosx# on #[-pi/4, pi/4]#?
  
• How do you find the derivative of #w=1/sinz#?
  
• A rectangle has length #3sqrt5 - 4sqrt3# feet and width #2sqrt5 + 5sqrt3# feet, what is the perimeter?
  
• Question #75b0d
  
• The area of a rectangular playing field is 192square meters. The length of the field is x+12 and the width is x-4. How do you calculate x by using quadratic formula?
  
• How do you find the integral of #int 1/(1 + cos(x))#?
  
• Using the double angle of half angle formula, how do you simplify #cos^2 5theta- sin^2 5theta#?
  
• Question #c43f5
  
• How do you graph inverse trig functions?
  
• How do you factor #x^6-2x^3+1#?
  
• How do you prove #(cosx/(1+sinx))+((1+sinx)/cosx)=2secx#?
  
• How do you write all the names that apply to #7/8#?
  
• How do you simplify #\sqrt { 27} + 2\sqrt { 48}#?
  
• Carbon atoms have four electrons in their outer shell. This means that a single carbon atom can form up to how many bonds with other atoms?
  
• How do you verify the identity #cosx-1=(cos2x-1)/(2(cosx+1))#?
  
• How do you graph the system of linear inequalities #x<5# and #x> -4#?
  
• If I have a circle with with an arc length of 31 in. and a radius of 12 in., then what is the angle in radians?
  
• How do you express #499,000# in scientific form?
  
• Question #f69d9
  
• Question #02b85
  
• What is percentage composition of element by mass in the lithium nitride salt, #Li_3N#?
  
• If (1+3+5+...... +a ) + (1+3+5+ .......... +b) = (1+3+5......... +c), where each set of parentheses contains the sum of consecutive odd integers as shown such that a+b+c = 21, a>6. If G = Max{a,b,c} and L = Min{a,b,c}, then? The question has multiple ans
  
• How do you solve #5e^3t = 8e^2t#?
  
• Question #f669d
  
• How do you find the standard form of the equation of the ellipse given the properties foci #(+-3,0)#, length of the minor axis 10?
  
• How do you use the chain rule to differentiate #f(x)=sec^2(3x^6-6x+7)tan^2(16x^-2+61cos(x^2))#?
  
• How do you test the alternating series #Sigma (-1)^(n+1)(1+1/n)# from n is #[1,oo)# for convergence?
  
• What are the asymptotes and removable discontinuities, if any, of #f(x)= 2/( e^(-6x) -4) #?
  
• How do you evaluate #|9+ - 12+ 5+ - 8|#?