Answers edited by Gió

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• How do you find the equation of the tangent line to the graph of #y = sin(x)# at #x = pi#?
  
• How do you find the equation to the tangent line of #y=cos3x# and its tangent at the point #(pi/4, -sqrt2/2)#?
  
• What does the Heisenberg Uncertainty Principle state that it is impossible to know?
  
• How do you solve #2x + 3y - z = 1#, #3x + y + 2z = 12#, and #x + 2y - 3z = -5#?
  
• How do you multiply # (2sqrt5)^2#?
  
• How do you simplify #(a^-3 b^(4/3))^-3#?
  
• Microwave radiation has a wavelength on the order of 1.0 cm. Calculate the frequency and the energy of a single photon of this radiation. How to calculate the energy of an Avogadro’s number of photons (called an einstein) of this radiation ?
  
• The elastic constant of a spring holding an object in equilibrium is 600 N/m. How can I find the extension of the spring with respect to its initial length if the object has a mass of 480 g?
  
• How do you solve #sqrt(4a+7) = -sqrt(a+2)#?
  
• How do you differentiate #x^3-xy+y^2=4#?
  
• The absorption of light of frequency 1.16 × 1011 Hz is required for CO molecules to go from the lowest rotational energy level to the next highest rotational energy level. Determine the energy for this transition in kJ/mol. h = 6.626 × 10-34 J · s ?
  
• How do you differentiate #f(x) = x^2 - 4x + 3#?
  
• Show that the roots of the equation #16x^4 - 20x^2 + 5= 0# are #cos((kx)/10) #for #k = 1,3,7 # and # 9# And Deduce that #cos^2(pi/10)cos^2((3pi)/10) = 5/16#?
  
• How do you solve #(x - 12)(5x - 13) = 0#?
  
• How do you solve #2z + 9.75 - 7z = -5.15#?
  
• What is the derivative of #x = tan (x+y)#?
  
• Question #9a86b
  
• Question #fa6d4
  
• How do you solve #sqrtx+12=x#?
  
• What is the number if a number when increased by 40% becomes 42?
  
• How do you find the integral of #sin pi x# on the interval 0 to 1?
  
• How do you rationalize #sqrt22/sqrt33#?
  
• Question #68199
  
• How do you graph #x+y=-2# using slope and y intercepts?
  
• What is the derivative of (x^2)(sinx)(tanx) without using the chain rule?
  
• How do you solve by completing the square #2x^2+4x+12=0#?
  
• Question #75ff5
  
• Question #c4cde
  
• How do you find the equation of tangent line to the curve #y=4x^3+12x^2+9x+7# at the given point (-3/2,7)?
  
• If the temperature of the turkey is 150°F after half an hour, what is the temperature after 55 minutes if you know roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table in a room where the temperature is 75°F?
  
• How do you determine if the lines #-12x+9y=15# and #-4x+3y=5# are paralle , perpendicular or neither?
  
• How do you divide #(2.0 x 10^-8) / (8.0 x 10 ^2)#?
  
• What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is #2x + y - 1 = 0#?
  
• Question #3cf9b
  
• How do you find all points of inflection for this function: #y = 4 / (9 + x^2)#?
  
• How do you verify the identity #(2tanx)/(1+tan^2x) =sin2x#?
  
• What volume in liters does 1.67 g of N2 occupy at 22.0 degree C and 756 torr?
  
• How do you solve the trig equation: #sin^2x + sinx = 0# from [0,2pi]?
  
• Question #0bb8e
  
• Question #357ad
  
• How do you show that the point #(p,4p^2)# lies on the curve #y=4x^2# for all real values of p and then find the equation of the tangent to #y=4x^2# at #(p,4p^2)#?
  
• How do you find the integral of #1/(x^(2)sqrt(256-x^2))#?
  
• How do you simplify #9xy^2sqrt(400x^4y^16)#?
  
• How do you find the domain of the function: #f(x) = sqrt(5-3x)#?
  
• If a + b + c = 0 Then prove # 1/( x ^b + x ^ (-c) + 1 ) + 1/( x ^ c + x ^(-a) + 1 ) + 1/( x ^a + x ^(-b) + 1 )= 1#?
  
• If sin x = 0.5299 and cos x = 0.8481, then what is the value of tan x?
  
• Question #f548b
  
• How do you find the derivative of #y= e^-x (5x^2 - 2x)#?
  
• How do you differentiate #y = cos^3(3x+1)#?
  
• How do you divide #(sqrt(24w^2))/(sqrt(3w^4))#?
  
• How do you write an equation in point-slope form for the line with the given slope 8/3 and through the given point (-2,-7)?
  
• How do you find the second derivative of #f(x)=(3+2x)e^(-3x)#?
  
• Without graphing, how do you determine whether each equation #Y=72(1.6)^x# represents exponential growth of exponential decay?
  
• What is the slope of the line #3x + y = 5#?
  
• Question #59573
  
• How do you find an equation of the tangent line to the curve at the given point if #y = sec (x) - 2 cos (x)# and #p=(pi/3, 1)#?
  
• What is the derivative of #(x+cosx)/tanx#?
  
• Question #26090
  
• What are the spectral series we see in the Hydrogen atom emission spectrum?
  
• An 8-hour exposure to a sound intensity level of 90.0 dB may cause hearing damage. What energy in joules falls on a 0.800-cm-diameter eardrum so exposed?
  
• Question #f716b
  
• How do you find the derivative of #e^(2x)# using the product rule?
  
• How do you determine the amplitude and period for #y = -2/4 cos (7/2)#?
  
• How do you prove #(sinx+cosx)^2 + (sinx-cosx)^2 = 2#?
  
• The length of the base of an isosceles triangle is 30 m. The angle opposite the base measures 32 degrees, how do you find the perimeter of the triangle?
  
• How do you find the limit of #(4x^2)/(x-2)# as x approaches 2?
  
• For the curve #y=x-x^2#, how do you find the slope of the tangent line to the curve at (1,0)?
  
• What is the derivative of #sin(x)/[1-cos(x)]#?
  
• How do you factor #x^2+1#?
  
• Question #5b7be
  
• How do you find all points of inflection for #f(x)=x^4-6x^3#?
  
• Question #ab876
  
• Can the instantaneous rate of change be zero?
  
• How do you multiply #(3c+1)(5c-2)#?
  
• How do you integrate #sin^(-1)x #?
  
• What is the derivative of #sin^2 (6x)#?
  
• How do you find the slope and tangent line to the graph #y= -3x^5-8x^3+4x^2# at x=1?
  
• How do you differentiate #sin (xy) = x^2 - y^2#?
  
• What is the antiderivative of #(1/(2x))#?
  
• How do you add #sqrt18 - 2 sqrt2#?
  
• Question #73543
  
• How do you solve #7(4 - 2x) + 16 + 2x = 12#?
  
• How do you solve #10^(2x-5)=1000#?
  
• How do you find the average or mean slope of the function #f(x)=3x^3–2x# on the interval [–4, 4]?
  
• How do you find the domain and range of #y = −3x^2 − 3x + 4#?
  
• How do you find the slope of the line whose equation is #2x – 4y = 10#?
  
• Question #fa5ff
  
• Evaluate #inte^(2x)sinx#?
  
• How do you differentiate #f(x) = [1 + sin(2x)]/[1 - sin(2x)]#?
  
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