Answers created by Shiva Prakash M V

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• How do you factor #5x^4 + 2x^2 - 7#?
  
• Find the equation of the straight line with positive gradient and inclined at an angle of 45° to the line 3y-x+1=0 and passing through the point (2,0)?
  
• Explain: What Double Integral represents and write its two applications?
  
• How do you differentiate # f(x)=e^sqrt(1/x^2-x)# using the chain rule.?
  
• How do you graph #y=2cos6pix#?
  
• How do you divide #( - 6 i + 5) / (i+ 2 )# in trigonometric form?
  
• A force of 3kgf is just sufficient to pull a block of 5kgf .Find the coefficient of friction and angle of Friction?
  
• Your average reading speed is 160 words per minute. There are approximately 800 words on each page of the textbook you need to read. Approximately how long will it take you to read 50 pages of your textbook?
  
• How do you solve #|-4x + 10| ≤ 46#?
  
• How do you convert #(4pi)/3# into degrees?
  
• If #3x + 5y = 4# and #8y + 6x = 36#, what is the value of #-y#?
  
• How do you solve f(x)=a(2^kx) with f(0)=10 and f(3)=640. Find f(2).?
  
• How do you find a unit vector (a) parallel to and (b) normal to the graph of f(x) at the indicated points given function: #f(x) = sqrt(25+x^2)# and point: (3,4)?
  
• Can you find [ (2(cos80˚+isin80˚))^3 ] ? then express the answer in rectangular form.
  
• What is the slope of the line normal to the tangent line of #f(x) = sec^3x+sin(2x-(3pi)/8) # at # x= (11pi)/8 #?
  
• How do you differentiate # y =(sqrtx-3)^3 # using the chain rule?
  
• How do you find the derivative of #y=tan(x)# using first principle?
  
• How to find the first term, the common difference, and the nth term of the arithmetic sequence here? 8th term is 4; 18th term is -96
  
• Given the nth term for this arithmetic sequence, how to find the common difference and the first four terms too? #a_n# = 3n - 2
  
• What is the derivative of #Tan^-1 (y/x)#?
  
• How do you solve for a in v=2(ab+bc+ca)?
  
• How do you find the foci for #4x^2 + 20y^2 = 80#?
  
• How do solve the following linear system?: # 4x+3y=1 , -6x-2y=-8 #?
  
• A triangle has sides A, B, and C. The angle between sides A and B is #(pi)/2#. If side C has a length of #12 # and the angle between sides B and C is #pi/12#, what is the length of side A?
  
• How do you solve #2< \frac { 4x + 22} { x + 5} < 3#?
  
• How do you do 5//2x-1 + 6x+7// 1-4x^2 ?
  
• Where do I start when I'm trying to solve a word problem?
  
• How do you solve #3( 2- 5x ) = 2( 3x + 2)#?
  
• How do you solve #2( 5x + 4) = 10x + 8#?
  
• How do you differentiate # f(x) =1- (sec x/ tan x)^2 #?
  
• How do you simplify #tan x/ (sec x - cos x)#?
  
• How do you simplify #sqrt(8/36)#?
  
• How do you simplify # (3 * 10^-2)(4 * 10^-3)#?
  
• Two numbers are in the ration 4:3.If they differ by 18,find these numbers?
  
• There is a narrow rectangular plot.The length and breadth of the plot are in the ratio of 11:4.At the rate of Rs.100 per meter it will cost village panchayat Rs.75000 to fence tge plot.What are the dimensions of the plot?
  
• The sum of two numbers is 48. One number is 3 times as large as the other. What are the numbers?
  
• How do you solve the system of equations #3x - 5y = 24# and #x - 2y = 6#?
  
• What happens when a gas is changed to a liquid?
  
• How do you find the volume bounded by #x-8y=0# & the lines #x+2y# revolved about the y-axis?
  
• If #tan theta = 5/6# and #tan phi= 1/11# then find #tan (theta + phi)# hence show that #(theta + phi) = (pie)/4# ?
  
• How do you convert #y=x-2y+xy^2 # into a polar equation?
  
• How do you simplify this? #" "sqrt(3) + sqrt(1/3)#
  
• #int x/(1+x)(1+x^2)dx# ?
  
• How do you write an equation in slope intercept form given that the line passes through the point J(4, 1) with slope –4?
  
• If an atom has an atomic number 3, how many electrons will it have?
  
• Express #z_1=sqrt(​3)-i# in polar form?
  
• A rectangular room measures 12ft by 15ft. the entire room is to be covered with rectangular tiles that measures 5in by 4in. if the tiles are sold for &2.50 a dozen what will it cost to tile the room?
  
• How do you solve #(1+tanA)^2 + (1+cotA)^2 = (secA+cosecA)^2#?
  
• How do you find a #6^(th)# degree taylor series #of cos(2x)# centered at #pi/6#?
  
• How do you solve #\frac{3}{2x-4}-\frac{2}{x^{2}-x-2}=\frac{9}{x+1}#?
  
• What is the derivative of #-e^(3x^2)#?
  
• Variable acceleration?
  
• Find the slope of the line 1 and line 2. Is each pair of lines parallel, parpendicular, or neither? Line 1: passes through (0,6)and (3,-24) Line 2: passes through (-1,19) and (8,-71)
  
• What is the equation of the tangent line of #f(x)=cos^3x^2 # at #x=0#?
  
• How do you find the integral of #int 1/(1 + tan(x))#?
  
• What is the antiderivative of #(lnx)^2 / x^3#?
  
• How do you find the equation of a parabola with directrix y=0 and focus F(2,2)?
  
• The vertices of a triangle ABC are # A(-6, 3) , B(-3,5) & C(4,-2)# . If the co-ordinate of P are #(x,y)# . How to prove that #PBC/ABC = x+y-2/5 # ?
  
• How do you differentiate #f (x) = 3 arcsin (x^4)#?
  
• How do you solve #log_3x+log_3(x-8)=2#?
  
• How do you solve the system of equations #-x - 8y = - 16# and #6x + 4y = 8#?
  
• How do you simplify #(4+sqrt50)-(3-sqrt(8)) #?
  
• How do solve the following linear system?: #-7x + y = -19 , x - 3y = -6 #?
  
• How do you solve #3( 2x - 10) - \frac { 1} { 3} ( 6x + 9) = - 1#?
  
• Write an equation for the line ?
  
• If #f(x)=x^3-7x^2+5x#, how do you find all values for f(x)=-1?
  
• How do you solve #sqrt3csc(9x)-7=-5#?
  
• What is the standard form of #y= (3x – 4) (2x – 1) (x – 2)#?
  
• How do you convert #2=(9x+y)^2-x# into polar form?
  
• How many real roots are in y=2x^2-7x-15?
  
• How do you write a possible quadratic equation in standard form that has the given roots {1+or-i}?
  
• How do you solve the following linear system: #x - 5y = 3, 2x - 10y = -3 #?
  
• How do you solve #tan(x)(tanx+1)=0#?
  
• What is the area under the polar curve #f(theta) = thetasin(-theta )+2cot((7theta)/8) # over #[pi/4,(5pi)/6]#?
  
• How do you prove #cscx = sec(pi/2 - x)#?
  
• Evaluate the integral with hyperbolic or trigonometric substitution. ?
  
• What is the standard form of # y= (-x+1)^3-(-3x+1)^2#?
  
• How do you prove # (cosx - sinx)/(cos^3x - sin^3x) = 1/(tanxcos^2x + 1)#?
  
• How do you find the exact value for #sin^-1 (cos (2pi/3))#?
  
• (-216×729)^1÷3=?
  
• How do you solve #21n ^ { 2} + 5n - 6= 0#?
  
• How do you simplify #5x(x+4) - 6x(x+3)#?
  
• How do you solve for # \frac { h - 2} { h - 3} = \frac { 1} { - c }# for #h#?
  
• How do you find the values of the other five trigonometric functions of the acute angle A with #cscA=3#?
  
• What are the components of the vector between the origin and the polar coordinate #(5, pi)#?
  
• Surveying: in the surveying map shown below, calculate the distance and direction from point E to point A and estimate the enclosed area?
  
• If p cos^2(x)+sin^2(x)=r,express cos^2(x) n terms of p and r only?
  
• A square has diaonal of 24cm what is the lenght of its sides?. pls help me quick homework due tommorow
  
• What is #f(x) = int xsinx^2 + tan^2x -cosx dx# if #f(pi)=-2 #?
  
• How do you turn r=7 into a polar coordinate?
  
• How do you find the derivative of #[cos(2x^4) - 1]/x^7#?
  
• What is the slope of the polar curve #f(theta) = theta - sectheta+thetasin^3theta # at #theta = (7pi)/12#?
  
• How do you find the x and y intercept of # x - 3y = - 6#?
  
• Solve the equation for 0<x<360 2csc^2x-cot^4x=-1?
  
• How do you simplify #(-x^2 +9x -2) -(9x^2- 4x+ 4#)?
  
• A hexagon has five angles that measure 140° each. What is the measure of the sixth angle?
  
• How do you find the slope and intercept of #y=(5-x)/10#?
  
• What is the period of cos nx?
  
• How do you solve #x+ 1/13= 7/13#?
  
• How do you find the slope of the line passing through the points A(4, 2) and B(-2, 4)?
  
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