Answers created by Antoine

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• A line has a slope of #5#. It passes through the points #(1,4)# and #(6, y)#. What is the value of #y#?
  
• How do you find the midpoint of (-3,5) and (4,-2)?
  
• How do you express #4 cos theta - sec theta + 2 cot theta # in terms of #sin theta #?
  
• How do you find the domain and range of #f(x)=x/(x^2 - 2x -3) #?
  
• Question #45058
  
• A charge of #4 C# is passing through points A and B on a circuit. If the charge's electric potential changes from #22 J# to #15 J#, what is the voltage between points A and B?
  
• How do you differentiate #f(x)= -1 / (x^3-4 )# using the quotient rule?
  
• What is the trigonometric form of # (4-4i) #?
  
• How do you find the limit of #(1-e^(-2x))/(sec(x))# as x approaches 0?
  
• What is the slope of the line #y = 3/4x - 2/7#?
  
• How do you write the vertex form equation of the parabola #y=x^2+2x-1#?
  
• When the son will be as old as his father today, the sum of their ages then will be 126. When the father was as old as his son is today, the sum of their ages was 38. Find their ages?
  
• How do you factor the expression #x^2 - 7x - 18#?
  
• What is the antiderivative of # 1/(xlnx)#?
  
• What is Cos^(-1) [cos(-5pi/3)]?
  
• How do you simplify #5sqrt3 * 8sqrt2#?
  
• What is the complex conjugate of #-2 + i#?
  
• Question #06472
  
• If angle A is three times as large as angle B, and angles B and C sum to 90 degrees, what is the measure of each angle?
  
• What is #Tan(2arcsin(1/3))#?
  
• Find all the solutions for #sinx=a#?
  
• In eight years, peter will be three times old as he was eight years ago, how old is peter now?
  
• How do you use the trapezoidal rule with n=3 to approximate the area between the curve y=x^2 and the x-axis for 1 ≤ t ≤ 4?
  
• How do you use the trapezoidal rule with n=4 to approximate the area between the curve #y=sqrt(x+1)# from 1 to 3?
  
• Determine whether light traveling from diamond (refractive index 2.42)to air,reach air if it approaches at angle (i)65.6° (ii)34.4° (iii)74.4° to glass top surface?
  
• What is the square root of 9?
  
• What is the square root of 6 times the square root of 12?
  
• How do you find an equation to the tangent line to the curve #y = 2 sin^2x# at #x = Pi/4#?
  
• Question #453e6
  
• What are some examples of summation notation?
  
• What properties of light allow shadows to form?
  
• Which one is the phenomenon responsible for the appearance of rainbow in the sky: A)Interference B)Refraction C)Reflection D)Diffraction?
  
• How do you prove #(tan u + cot u)(cos u + sin u) = csc u + sec u#?
  
• How do you classify #4x^2 + 9y^2 = 36#?
  
• How do you convert #(15pi)/6# radians to degrees?
  
• How do you convert #(29pi)/36# radians to degrees?
  
• What is the center of the sphere with the equation #(x-2)^2+(y+3)^2+(z-6)^2=36#?
  
• Find the maximum and minimum values of the following functions (a)#y= 3 sin x+ 4 cos x +2# (b) #y= 6cos x - 4 sin x -2#?
  
• Write #sin x +sin 3x# as a product. Hence,find all angles #x# in the interval#[0,2pi]# that satisfy #sin x +sin 3x - cos x =0#?
  
• A man stands on a crane and throws a water balloon down at at 21 m/s. He finds that it takes 2.4s for the balloon to hit the ground. What is its height one second before it hits the ground?
  
• Question #27939
  
• Question #27945
  
• How do you solve #9y-4(y+5)=40#?
  
• How do you verify #sec^2 x/ tan x = sec x csc x#?
  
• How do you test for convergence for #1/((2n+1)!) #?
  
• Question #3aa50
  
• How do you use the trapezoidal rule with n=4 to approximate the area between the curve #1/(1 + x^2) # from 0 to 6?
  
• How do you graph #f(x) = -(x-2)(x + 5)#?
  
• How do you simplify #(cos theta csc theta)/tantheta#?
  
• What is the inverse function of #f(x)=x-2# and how do you find #f^-1(0)#?
  
• What is #Cot [ arcsin( sqrt5 / 6) ]#?
  
• How do you verify #(1+tanx)/(sinx)=cscx+secx#?
  
• How do you find the value of #cot 180#?
  
• What is the domain and range for #y = 6sin^-1(4x)#?
  
• How do you solve #secxcscx - 2cscx = 0#?
  
• When #P(x) = x^3 + 2x + a# is divided by x - 2, the remainder is 4, how do you find the value of a?
  
• How do you find the exact value of #tan[arc cos(-1/3)]#?
  
• How do you simplify and state the excluded values for #(3x) /( 1-3x)#?
  
• What is the derivative of # arcsin(1/x)#?
  
• How do you simplify #( 5a^2 + 20a) /( a^3-2a^2) * ( a^2-a-12) / (a^2-16)#?
  
• How do you simplify #tan^2x(csc^2x-1)#?
  
• How do you solve the right triangle ABC given A= 40 degrees, C= 70 degrees, a=20?
  
• Question #c76e4
  
• How do you solve #ln x^2=4#?
  
• What is the equation of the oblique asymptote # f(x) = (x^2+7x+11)/(x+5)#?
  
• How do you solve #x + y > 4 + x#?
  
• What is the antiderivative of #(2+x^2)/(1+x^2)#?
  
• What is a transformation?
  
• How to transform an expression to radical form #(81/625)^(-1/4)#?
  
• How do you verify #2csc2x=secxcscx#?
  
• How do you find the exact values of tan 112.5 degrees using the half angle formula?
  
• How do you verify the identity #sec^2(x/2)= (2secx + 2)/(secx + 2 + cosx)#?
  
• How do you solve #1 = cot^2 x + csc x#?
  
• How do you solve #sin (x + (π/4)) + sin (x - (π/4)) = 1#?
  
• How do you verify #(tan^2x)/(secx-1)-1=secx#?
  
• How do you solve #arcsin(x) + arcsin(2x)=pi/3#?
  
• How do you solve #sin3x=cos3x#?
  
• What is #tan(pi + arcsin (2/3))#?
  
• What is #cos (2 arcsin (3/5))#?
  
• What is # cos (Arcsin (3/5))#?
  
• What is #cos[Arcsin(-4/5)]#?
  
• What is #cos (arcsin (5/13))#?
  
• What is #sin(arccos(5/13))#?
  
• What is #Cos(arcsin(-5/13)+arccos(12/13))#?
  
• What is #tan(arcsin(12/13)) #?
  
• What is #Cot(arcsin (-5/13)) #?
  
• The width of a rectangle is one-fifth as much as the length and the perimeter is 120 cm, how do you find the length and width?
  
• How do you solve #ln(x - 3) + ln(x + 4) = 1#?
  
• How do you find points of inflection for #y= sin x + cos x#?
  
• Question #1fec9
  
• How do you find the volume of the solid generated by revolving the region bounded by the curves #y=x^(2)-x#, #y=3-x^(2)# rotated about the #y=4#?
  
• How do you find the exact value of #sin^-1[sin(-pi/10)]#?
  
• How do you calculate #Cos^-1(5/13) - Cos^-1(8/17)#?
  
• How do you calculate #sin(2sin^-1(10x))#?
  
• How do you find the length of an arc of a circle with a radius of 17 cm if the arc subtends a central angle of 45 degrees?
  
• How do you solve the system using the elimination method for x – 3y = 0 and 3y – 6 = 2x?
  
• How do you translate "One quarter of the population p" into an algebraic expression?
  
• Question #33acf
  
• How do you find the derivative of Inverse trig function #f(x) = arcsin (9x) + arccos (9x)#?
  
• What are the maximum and minimum values that the function #f(x)=x/(1 + x^2)#?
  
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