Answers edited by maganbhai P.

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• What is the derivative of the function ? y = x √ 2x + 3
  
• How do you evaluate #\int \cos 3x \sin ^ { 2} x d x#?
  
• If a circle has a radius of 8 inches. What is the area of the circle in square inches rounded to the nearest tenth inch?
  
• What is the derivative of #f(x) = 1- sec x/ tan x#?
  
• How do you find the definite integral of #(x dx) / [(x^2 +1)(ln (x^2 +1))]# from #[1, 2]#?
  
• #y=x/(2x-3)# then find #(d^2y)/(dx^2)#?
  
• How to integrate #1/(1+cosx)# ?
  
• How do you find#int x/sqrt((x^2-4x+9) )dx # using trigonometric substitution?
  
• How do you solve #sec(x)-1=tan(x)#?
  
• How do you prove #intcosAxdx = 1/AsinAx+c# ?
  
• Question #6527d
  
• How do you find #int (x^3+x^2+2x+1)/((x^2+1)(x^2+2)) dx# using partial fractions?
  
• If #f_1(x) = 2^(f_2(x))#, where #f_2(x) = 2012^(f_3(x))#, where #f_3(x) = (1/2013)^(f_4(x))#, where #f_4(x) = log_2013 log_x 2012#, then the range of #f_1(x)# is?
  
• 1) If θ is a fixed real number with 0≤θ<2π Show that for all real x, cos(x)+cos(x+θ)=Acos(x+φ) where φ=θ/2 and A=2cos(θ/2) 2) Determine θ if A=1/4 and if A=-1?
  
• Solve by using the quadratic formula?
  
• How do you integrate #int (2x-2)/ (x^2 - 4x + 13)dx# using partial fractions?
  
• If the volume of a cylinder is 384∏ and the height is 6, what is the length of the radius?
  
• How do you solve 3 tan 2 x = √ 3 tan x in interval 0<=x<=360?
  
• This is a trigonometric equation I can't figure out? #cot^2x = -2cotx -1#
  
• What is 1+tan2x / 1-tan2x?
  
• How do you use the quotient rule to differentiate #(2lnx^3) / sqrt(2-x^2)#?
  
• How do you find the derivative of #y = arctan [ tanx / (sqrt(2+tan^2(x))) ] + ln [tanx + sqrt(2+tan^2(x)) ]#?
  
• How do i integrate x^4/(x^2+1)^3 ?
  
• What is the derivative of #f(x) = 1/(xlnx)#?
  
• Which is an arithmetic sequence?
  
• How do you solve #3cscA-2sinA-5=0#?
  
• Solve (2+sqrt3)cos theta=1-sin theta?
  
• Could you demonstrate this equation?! And thanks you btw! 3arctan(2-sqr(3))=arctan1/2 + arctan1/3
  
• Find the 24th term in the expansion of #(a+b)^25#?
  
• What is the evaluation of the following of Integral?: #int1/(cos3x-cosx)dx#
  
• Find derivative of sin(x+1) ?
  
• X-y=3 x-2y=0 values for x and y?
  
• How do you integrate #int 1/sqrt(2x-12sqrtx-5) # using trigonometric substitution?
  
• Cot2θ+tanθ = ? Write Answer With Explanation...
  
• How do you solve #7d ^ { 2} + 10d + 168= 0#?
  
• How do you find the indefinite integral of ∫ dx/ (√5-x^2) ^3 ?
  
• Find Dy/dx Help i have no idea how to use the chain rule here? y=ln(tan^-1(ex))
  
• What is the integral of #sin^6(x)#?
  
• How do you solve for 0 ≤ x < 2π using the equation 4sin ² x - 1 = 0 ?
  
• How do you prove #sin^2x/ (cos^2 +3cosx+2) = (1-cosx)/ (2+cosx)#?
  
• The difference of two numbers is 3 and the difference of their square is 69. What are the numbers?
  
• If y=root1-x/1+x.then prove that (1-X)^2dy/dx+y=0?
  
• How to solve for x when restricted to interval [0,2pi] tan(x/2)=(2-sqrt(2))/2sinx?
  
• How do you solve #intxsqrt(x^2+8)*dx# using trig substitution?
  
• Evaluate #int_0^1 (t/(1+t^3))dt#?
  
• Convert 3/4radian into degree?
  
• How do you solve this equation?
  
• How do you simplify #1- (sin^2 theta/ (1-cos theta))= -cos theta#?
  
• Solve (sinx)(tanx) = 3sinx for 0 < x < 2pi. Round your answers to the nearest hundredth of a radian ?
  
• Solve the homogeneous ode 2xy²dy-(x³+2y³dx=0?
  
• #y=sin(msin^-1x)#, then check whether or not #(1-x^2)y_(n+2)-(2n+1)xy_(n+1)+(m^2-n^2)y_n=0#, also find #y_n(0)#?
  
• How to solve sin5x = -sin3x?
  
• How toIntegrate 7/(e^9x-13) dx?
  
• What is the equation of the line through points (-2, 5) and (3, 5)?
  
• Which of the following equations is parallel to y = (2/3)x + 6 and contains the point (4, -2)?
  
• How to Verify that sin(A+B) + sin(A-B) = 2sinA cosB ?
  
• How do you solve sin2θ=-cosθ ?
  
• How would one complete the square: #x^2 + 6x +# _?
  
• #int 1/(1+x^3) dx# is equal to?
  
• #2e^(x)=3-e^(x+1)# what is the value of #x# in this question?
  
• How do you integrate (x+3)ln^2(x+3)dx?
  
• #y=Pe^(ax) + Qe^(bx)# Show that #(d^2y)/dx^2-(a+b)dy/dx+aby=0#?
  
• P and Q are the roots of 3x*2-12x+6. Find 1/p*2 - 1/q*2 ?
  
• How to calculate the integral?
  
• How do you differentiate #h(x)=((x^3+1)sqrtx)/x^2# using the quotient rule?
  
• What is the limits?
  
• How do you find the value of #sec [Cot^-1 (-6)]#?
  
• How do you evaluate the integral #(secx tanx) / (sec^2(x) - secx)# dx?
  
• How do you integrate #int x^3sqrt(16-x^2)# by trigonometric substitution?
  
• Evaluate the value of ((x+4)^2-4)/x as x approaches to 0?
  
• What is #f(x) = int xcotx^2 dx# if #f((5pi)/4) = 0 #?
  
• What is the equation of the line that passes through #(1,5)# and #(-2,14)# in slope intercept form?
  
• 2sin^(2)x-sinx=1 Find the general form and all solutions in the interval [0,2pi) ?
  
• A full of water bucket is 32 kg. When the water is half, the bucket weight is 20 kg. What was the only bucket weight?
  
• #\int(x^2dx)/(\sqrt(4-9x^2))#?
  
• How do you find the antiderivative of #e^(2x) * sin(4x)dx#?
  
• How do you find the integral of #int 1/(t^2-9)^(1/2)dt# from 4 to 6?
  
• Find the sum of #1^2 + 5^2 + 9^2 + … 81^2#?
  
• Solve #{ 2+2sin2x } /{ 2(1+sinx)(1-sinx) } =sec^2x+tanx# ?
  
• Differentiation of secx(tan√x)? In few steps.
  
• g(x)=#int_sqrtx^xtan^(-1)tdt# Find? 1) g(#sqrt3#) 2) g'(#sqrt3#) 3) g"(#sqrt3#)
  
• How do you solve?
  
• How do you evaluate the integral #int 1/(sintheta+costheta)#?
  
• How to integrate #int(x^3 dx)/sqrt( x^2 + 4)# by using substitution?
  
• How to solve for t? #3e^t=5+8e^(-t)#
  
• Integrate #x^3*√(16-x^2)# by using Trigonometric Substitutions (only)???
  
• Factorize: x^4+x^3+x^2+2 ?
  
• Let #f(x)=5x+4# and #g(x)=x−4/5# , find: a). #(f@g)(x)# ? b). #(g@f)(x)# ?
  
• Implicit domain how to prove #dy/dx# = #-(sqrt(1-y^2))/(sqrt(1-x^2)# ?
  
• Differentiate #cos(x-2)/sinx#?
  
• How do you solve #x^2-10x+16=0# using the quadratic formula?
  
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