Questions asked by Anthony R.

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• Find an equation of the tangent line to the graph of #y=g(x)# at #x=5# if #g(5) = -3# and #g'(5) = 4#? Can you explain this to me in detail?
  
• Demetri is studying a new function g and has concluded that g is decreasing at #x = 5#. Which of the following can Demetri now conclude? [Choose all that apply] (Choices below)
  
• If the tangent line to #y = f(x)# at #(4,3)# passes through the point #(0,2)#, Find #f(4)# and #f'(4)#? An explanation would also be very helpful.
  
• If an equation of the tangent line to the curve #y = f(x)# at the point where #a = 2# is #y = 4x-5#, find #f(2)# and #f'(2)#? I know f(2) is 3 but how do I find #f'(2)#?
  
• May someone please explain how to complete this problem? (See attached image)
  
• If the tangent line to the curve #y = f(x)# at the point where #a = 2# is #y = 4x-5# , find #f(2)# and #f'(2)#? I know #f(2) = 3# but how do I find #f'(2)#?
  
• How do you compute the rate of change of the function #f(x) = 1+1/(x+1)# at the point #x = a#?
  
• How do you find the equation of the tangent line to the curve at the given point. #y=5x−2sqrtx#, #(1,3)#?.
  
• A solution of sodium hydroxide is standardized against potassium hydrogen phthalate. From the following data, calculate the molarity of NaOH solution? (See details below)
  
• A solution of sodium hydroxide is standardized against potassium hydrogen phthalate. From the following data, calculate the molarity of NaOH solution? (See details below)
  
• Let #f(x) = sin(x)#. Find #f^400(x)# (the #400th# derivative of #f(x)#)?
  
• Find all of the points on the curve #y = x^3 +5x^2# where the tangent line is parallel to the line #y = 11x−π#.?
  
• #f# is some differentiable function. #f'#, the derivative of #f# is shown below [note, is not the graph of f itself]. Use the graph to answer the following questions [For parts (a)-(c), select all that apply]? (See image below)
  
• Find all of the points on the curve #y = x^3 + 5x^2# where the tangent line is parallel to the line #y = 11x − π#.?
  
• #f# is some differentiable function. #f'#, the derivative of #f# is shown below [note, is not the graph of f itself]. Use the graph to answer the following questions [For parts (a)-(c), select all that apply]? (See image below)
  
• Let #p(x)=x^3-9x^2+10# Find the absolute maximum and minimum value of #p# on the interval #[-2,8]#?
  
• The normal line of a function #f# at #x=a# is the line perpendicular to the tangent line of #f# at #x=a#. Using the above definition and the fact that #g(-2) = -10#, find an equation of the normal line of the function #g# at #x = -2#?
  
• # lim_(x→0) tan(x)/ (x + sin(x))#?
  
• The normal line of a function #f# at #x = a# is the line perpendicular to the tangent line of #f# at #x = a#. Using the above definition and the fact that #g(−2) = −10#, find an equation of the normal line of the function #g# at #x = −2#?
  
• #lim_(x->0)tan(x)/(x+sin(x))#?
  
• Find #h'(2)#? (see image below)
  
• Determine a function #h# such that#d/(dx)[cot(2x)h(x)] = -2xcot(2x)+2x^2csc^2(2x)#?
  
• A sample in a #1cm# cuvette gives an absorbance reading of #0.558#. If the absorptivity for this sample is #15000 L/(mol.cm)#, what is the molar concentration?
  
• Given the piecewise function: #f(x)= x^2sin(1/x), x != 0# and #0, x = 0# Is#f# continuous at #x=0# and if so, prove it?
  
• Determine a function #h# such that #d/(dx)[sqrt(h(x))] = (3x^2)/(2sqrt(x^3+4))?#
  
• Suppose #g# is a function whose derivative is #g'(x)=3x^2+1# Is #g# increasing, decreasing, or neither at #x=0#?
  
• Suppose #h(x) = f(x)g(x)# Use the above graph determine if h is increasing, decreasing or neither at #x = 4# , #x=1#, and #x=-5#? (See image)
  
• Determine a function #h# such that #d/(dx) [sqrt(h(x))]=(3x^2)/(2sqrt(x^3+4))#?
  
• Sally is differentiating a function #f#. She has gotten the answer, #f'(x) = −x^-2#. Write 3 possibilities for the function which Sally differentiated?
  
• Which of the following set of quantum numbers is not allowed?
  
• Using the equation for kinetic energy: #k=1/2mv^2# Find the instantaneous rate of change of the kinetic energy of a #1500 kg# car which has a velocity of #80 m/s# and an acceleration of #10m/s^2#?
  
• An electron in an hydrogen atom makes a transition from the ground state, #n=1#, to the excited state, #n=5#. Calculate the energy in Joules, frequency in Hertz #(1/s)#, and wavelength in #nm# of the photon?
  
• Two sides of a triangle are #6m# and #7m# in length and the angle between them is increasing at a rate of #0.06# rad/s. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is #π/3# rad?
  
• How fast is the boat approaching the dock when...? (See entire problem below)
  
• A) Calculate the wavelength (in #nm#) of light with energy #1.63*10^-20# J per photon? b)For light of wavelength #410 nm#, calculate the number of photons per joule?
  
• Number of photons used from microwave to heat water?
  
• What is the path length in centimeters when the transmittance is #0.692#, the molar absorptivity is #7.39 xx 10^4 "L/(mol.cm)"# and the concentration is #0.0000923 M#?
  
• Parts #a, c, & d#? (See image)
  
• Calculus question? (See image)
  
• Parts #a, c,# & #d#? (See image)
  
• A fence #8 ft# tall runs parallel to a tall building at a distance of #4 ft# from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
  
• Find the equation of the line through the point #(3, 5)# that cuts off the least area from the first quadrant?
  
• A fence #8 ft# tall runs parallel to a tall building at a distance of #4 ft# from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building? (Round your answer to two decimal places)
  
• The transmittance for a sample of a solution, measured at #590nm# in a #1.5-cm# cuvette, was #76.2%#. What is the corresponding absorbance?
  
• A piece of wire #26 m# long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How much wire should be used for the square in order to minimize the total area?
  
• A piece of wire #26m# long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How much wire should be used for the square in order to minimize the total area?
  
• How to get new concentration from percent transmittance?
  
• How do I find the anti-derivative of #x^3sec^2(x) + 3x^2tan(x)#?
  
• Suppose #f# is a differentiable function such that #f(2)=-4# and #f'(x)<=3# for all #x#. What is the maximum value that #f(5)# could be?
  
• Which of the following integrals computes the area below? (See image)
  
• How to relate the transmittance to the absorbance, concentration, and molar absorptivity?
  
• Transmittance of a solution? Question #3# only
  
• How do I find the specific absorptivity from the following graph?
  
• Can someone explain what is Valence Bond Theory and Hybridization?
  
• Use the graph to determine each local extrema? (See Image)
  
• Which of the following limits computes the integral?
  
• What is the derivative of #((sin(x))/(2x^4+x))^7#?
  
• Can someone explain how do I set up a molecular orbital diagram?
  
• Bond enthalpy question?
  
• Can socratic be something that could be put on a resume? Just curious.
  
• How do I integrate #int# #3xln(x^2+5)dx#?
  
• Given this graph of #f# where does #F# have a local min/max and find the intervals where #F# is concave up/down?
  
• How do I approximate #tan(0.01)#?
  
• Calculate the enthalpy of dissolution in #"kJ/mol"# of #"NaOH"#?
  
• How to find the function #p(t)# which gives the total population of the deer after #t # years? See entire problem below.
  
• Applied integration question?
  
• What is the spectator ion and net ionic equation of #Zn(s)+Ag_2SO_4(aq)->ZnSO_4(aq)+2Ag(s)#?
  
• Limiting Reagent Question?
  
• Find the molecular and empirical formula from the given information below?
  
• If light has a wavelength of #692nm#, then calculate the energy of these photons in Joules?
  
• If an electron in a hydrogen atom makes a transition from the #n=2# level to the #n=4# level, calculate the energy in Joules of this photon?
  
• How do I predict the products, identify the spectator ion, and write the net ionic equation for the following: #H_3PO_4(aq)+3NaOH(aq)-># ?
  
• Enthalpy question?
  
• A balloon with a volume of #2.00L# is filled with helium gas at a temperature of #27.0˚C# and a pressure of #1.20 atm#. How many grams of helium are in the balloon?
  
• Calculate the molar mass in #"g"/"mol"#of diacetyl (butanedione) given that in the gas phase #100# degrees Celsius and #747# torr, a #0.3060# g sample of diacetyl occupies a volume of #0.111L#?
  
• A typical sugar cube has an edge length of #1.0 cm#. If you had a cubical box that contained #3.5 "mol"# of sugar cubes, what would its edge length be? (One mole = #6.02 × 10^23# units.)?
  
• At the instant the traffic light turns green, an automobile starts with a constant acceleration a of #2.30 m/s^2#. At the same instant a truck, traveling with a constant speed of #8.70 m/s#, overtakes and passes the automobile?
  
• Find the initial velocity and constant acceleration of the green car?
  
• Find #(dy)/(dx)# of #y=((x+1)^4(x-5)^3)/(x-3)^8#?
  
• How to you find the sum of these vectors?
  
• Which of the following pairs of vectors will have the smallest cross product? Not sure how to do this.
  
• How do you integrate #intx^2e^(x^3)dx#?
  
• How do I find the limit #lim_(x->oo)e^(-x^2)#?
  
• How do I differentiate #y=(tanx)^(x^2)# using natural logarithms?
  
• If #vec B# is added to #vec C=4.8hati+4.3hatj#, the result is a vector in the positive direction of the y axis, with a magnitude equal to that of #vecC#. What is the magnitude of #vecB?#
  
• A ball is thrown horizontally from a height of #24 m# and hits the ground with a speed that is five times its initial speed. What is the initial speed?
  
• How do you evaluate the limit: #lim_(x->oo)(e^(-2x)-e^(2x))/(e^(-2x)+e^(2x))#?
  
• How do you find the derivative of #y=ln (x^2+y^2)#?
  
• #d/dx (x^(e^(x^2)))#?
  
• Evaluate the limit: #lim_(x->-oo)(2+2^(-x^2))#?
  
• How did they get #6csc2x#?
  
• #int(log_10x)/xdx#?
  
• What is the magnitude and direction of the boat's velocity relative to the ground? (See problem)
  
• Not sure how to begin?
  
• How to find the acceleration of the object? (See image)
  
• #int" "ye^(0.2y)dy#?
  
• Differentiate #y=cosh^(-1)(sinhx)#?
  
• Can someone explain how do find the components of #vecD#?
  
• How do I integrate #int cos^6theta d theta#?
  
• Differentiate #y=xsinh^(-1)(x/3)-sqrt(9+x^2)#?
  
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