Answers edited by Massimiliano

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• If you heat a uniform metal plate with a hole in it, will the hole get larger or smaller?
  
• How do you find the dimensions (radius r and height h) of the cone of maximum volume which can be inscribed in a sphere of radius 2?
  
• How do you find the second derivative of #y = x^4 tan x#?
  
• How do you factor #x^6 + 8#?
  
• How do you solve #2cos x+3= sin2x# on the interval [0,2π]?
  
• Question #1e981
  
• How do I find the additive identity matrix?
  
• How do you factor #x^2 - 27#?
  
• How do you use the difference of two squares formula to factor #3K^2 - 75H^2#?
  
• What is the last digit in the number #7^(7^(7^(7^(7^(7^7)))))# ?
  
• How do you find the derivative of the function #f(x)=x^2-3x# using #f(x+h)-f(x)/h#?
  
• What is the formula for #(a+b)^3#?
  
• How do you write the rational expression #(x^3+5x^2+6x)/x^-4# in simplest form?
  
• How do you solve #Sin x + Sin 2x + Sin 3x + Sin 4x = 0#?
  
• Question #e2f59
  
• How do you integrate #(x+1)/(x^2+2x+1)#?
  
• Why is the derivative of #ln -x = 1/x#?
  
• Question #a85ff
  
• How do you find the area of the parallelogram with vertices k(1,2,3), l(1,3,6), m(3,8,6), and n(3,7,3)?
  
• How do I find the limit as #x# approaches infinity of #(1.001)^x#?
  
• How do you find the period of #cot((10pi)/x)#?
  
• Question #26de5
  
• How do you solve #Tan 2x - tan x=0#?
  
• What is the domain of the function #f(x)=(x+9)/(x-3)#?
  
• How do you find the complement and supplement of an angle if the angle is 85 degrees?
  
• How do I sum the series #sum_(n=1)^oon(3/4)^n#?
  
• How do you find the solution to the quadratic equation #2x^(2/3) + 5^(1/3) = 12#?
  
• How do I find the additive identity matrix?
  
• Question #b91f5
  
• What is the amplitude of #f(x)=4sin(x)cos(x)#?
  
• Question #9ef51
  
• How do I evaluate #int3 sin(ln(x))dx#?
  
• How do you factor #16x^2-25#?
  
• What is the transverse axis of a hyperbola?
  
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #g(x) = int(1 / (t^3 + 1)) dt# from [1,x]?
  
• How do I find the arc length of the curve #y=ln(cos(x))# over the interval #[0,π/4]#?
  
• How do you graph an ellipse written in standard form?
  
• How do you find the exact value for #cos165# using the half‐angle identity?
  
• How do I find the limit of #(xy)/sqrt (x^2+y^2)#?
  
• How do you know #{-1,1,-1,1,-1,1,...}# converges or diverges?
  
• The perimeter of a triangle is 60 cm. and the lengths of the sides are in the ratio of 4:5:6. How do you find the length of each side?
  
• How do I find the derivative of the function #y=ln (sqrt(x^2-9))#?
  
• How do you find the exact value for #sin105# using the half‐angle identity?
  
• How do you give the equation of the normal line to the graph of #y=2xsqrt(x^2+8)+2# at point (0,2)?
  
• What is the antiderivative of #sec^5xtan^7x#?
  
• How do you use logarithmic differentiation to find the derivative of the function #y=x^x#?
  
• Question #fb773
  
• How do you find the integral of #1/sqrt(1-4x^2)dx#?
  
• How do you solve the proportion #20/25=w/130#?
  
• How do you find the derivative of #arccos(x^2)#?
  
• Question #608f0
  
• How do you add repeating decimals?
  
• How do you rewrite the expression #(–2x^5)^5(4x^5)^-1# with positive exponents?
  
• Question #9c6a4
  
• How do you solve #2^(x+1)=3^x#?
  
• Question #d178e
  
• How do you solve #sin(2theta) + sin(4theta) = 0#?
  
• How can I tell if a line is tangent to a circle?
  
• How do you find the derivative of #ln((4x^2)+9)# and what are the intervals for which the results are valid?
  
• Suppose a force of 100 newtons is used to push an object a distance of 5 meters in 15 seconds. Find the work done and the power for this situation
  
• How do you rationalize the denominator and simplify #(sqrt (77))/ (sqrt (35))#?
  
• How do you determine the measure of the central angle that is formed by an arc length of 4cm in a circle with a radius of 2.5cm?
  
• How do you find a formula for the nth partial sum of the series [5/1*2]+[5/2*3]+[5/3*4]+...+[5/n(n+1)]+... and use it to find the series' sum if the series converges?
  
• How do you find the first five terms of the Taylor series for #f(x)=x^8+x^4+3# at #x=1#?
  
• Question #b676d
  
• Question #1092f
  
• How do you find a formula for the sequence -2, 1, 6, 13, 22..?
  
• How can you evaluate: #int_0^2(1/(1+x^4))dx# ?
  
• What is the derivative of #(cos x) / (1 + tan x)#?
  
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #h(x) = int arctan t dt# from [2,1/x]?
  
• How do you solve #sqrt( 9 + x) + sqrt(1+x)=sqrt(x + 16)#?
  
• How do you use part 1 of the fundamental theorem of calculus to find the derivative of #g(x)= int cos(sqrt( t))dt# 6 to x?
  
• How do you integrate #inte^(cos)(t) (sin 2t) dt# between #a = 0#, #b = pi#?
  
• How do you find the derivative of #tan^2(3x)#?
  
• How do you find parametric equations for the tangent line to the curve with the given parametric equations #x=7t^2-4# and #y=7t^2+4# and #z=6t+5# and (3,11,11)?
  
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