Answers edited by F. Javier B.

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• Vector question?
  
• What is the domain and range of #f(x)=sqrt(4-x)#?
  
• Integrate cos^4x?
  
• The height of a triangle is 5 units more than twice it's base. If the area of a triangles is 21 square units, what is its height?
  
• If #vecu=(3,-1)# and #vecv=(-6,4)#, then how do you find the angle between #u# and #v# vectors?
  
• How do you find the domain, x intercept and vertical asymptotes of #y=log_10(x/5)#?
  
• How do you solve #55> 7- 8x#?
  
• Circle A has a radius of #2 # and a center of #(3 ,1 )#. Circle B has a radius of #6 # and a center of #(8 ,5 )#. If circle B is translated by #<-4 ,-1 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?
  
• V=5i-4j What is the angle of the vector?
  
• Find derivatives of the given functions : x= ln (1+t^2) y= t- arctgt ?
  
• The length of the side of a cube is doubled. What is the new volume?
  
• 1. Algebra: Consider the arithmetic sequence 87, 83, 79, 75, . . .. (You may assume that the pattern displayed continues for the whole sequence.)?
  
• #A × B^x = C/D^x-2# solve for x in log form ?
  
• How to use geometry progession in this situation ?
  
• Integral from 0 to ln 3 of #e^(3x)/(e^(6x)+5)# . Help please?
  
• How to find the minimum from this equation?
  
• What is #c# in this equation #5c-c+10=34# ??
  
• A wire is attached to the top of a flag pole. The wire meets the ground 4 meters from the flag pole. The wire makes a 45° angle with the flag pole. How tall is the flag pole?
  
• Convert 0.0075km squared to m squared?
  
• How do you graph the system of linear inequalities #3y - x < 15# and #y + 2x \geq - 1#?
  
• Can someone help with this?
  
• How do you find an expression for #sin(x)# in terms of #e^(ix)# and #e^(ix)#?
  
• Find the value of k if f(x) has three distinct real roots ?
  
• If the following equation has no real roots, what are the possible values of p for #x^2 + (3p+1)x - p = 0#?
  
• Help please?
  
• How do you solve #abs(4x+2)<6#?
  
• How do you solve #log(x-3)+log x=1#?
  
• Identify and explain any restrictions on the variable x in the expression #sqrt(4x-2)#?
  
• Question #54180
  
• What is an example of an arithmetic sequence?
  
• How do you prove this? 7) For sets A,B,C prove (A - B) ∪ (C - B) = (A ∪ C) - B by showing Left side ⊆ Right side and Right side ⊆ Left side.
  
• How to do the following question?
  
• Solve the equation #ix^3 + 1 - isqrt3 = 0#. Express your answer in trigonometric form?
  
• How do you simplify #i^6(2i-i^2-3i^3) #?
  
• Which equation should be used to graph y=sec^-1(x) on a calculator?
  
• How do you solve #(9!)/(6!3!)# ?
  
• What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term of 3?
  
• How do you simplify #i^6(2i-i^2-3i^3) #?
  
• A circle's center is at #(9 ,1 )# and it passes through #(5 ,4 )#. What is the length of an arc covering #(pi ) /3 # radians on the circle?
  
• What is the volume of the solid produced by revolving #f(x)=x^3, x in [0,3] #around #y=-1#?
  
• #root(6)(-64)=?#Please,give all the possible answers.
  
• How do you solve #1+cosx-2sin^2x=0# and find all solutions in the interval #0<=x<360#?
  
• What is the answer to this problem with explanation?
  
• What are all the zeroes of the function #f(x) = x^2-169#?
  
• Ratio of the volume of cylinder A to the volume of cylinder B?
  
• How can I solve the following limit?, I'm trying to solve with Riemann Integral, but I can't get it.
  
• How do you integrate #int x^3 sqrt(-x^2 + 8x-16)dx# using trigonometric substitution?
  
• Sinx. Cosx=1/2?
  
• When do you have "no solution" when solving quadratic equations using the quadratic formula?
  
• Write down an equation of the plane which passes through the point (−3,5,−1) that is perpendicular to the vector [−1,3,−9]. Leave your answer in the form A x + B y + C z = D, where A, B, C are integers?