Answers edited by Hammer

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• Prove the statement by mathematical induction?
  
• The set of ordered pairs represents a function. Write a rule that represents the function? (0,0), (1,5), (2, 40), (3, 135), (4, 320). Y=?
  
• How do you find the exact value of the third side given #triangle ABC#, #AB=2.35, BC=6.24, mangleB=115#?
  
• How does "e" (2.718) help apply to applications/implications in real life?
  
• How do you find a power series representation for #1/(1-x)^2 # and what is the radius of convergence?
  
• If the function f(x)=x^3 + e^(x/2) And g(x)= f^(-1)(x) ,then the value of g'(1) is ?
  
• #lim_(n->oo)(sum_(k=1)^n(sqrt(2n^2+k)/(2n^2+k)))#?
  
• Tan (x+(pi/2))=?
  
• How do you evaluate #Tan^-1 (1)#?
  
• How do you differentiate #J(v)= (v^3-2v) (v^-4 + v^-2)#?
  
• Let f(x)=#{tan(e^2)x^2-tan(-e^2)x^2}/sin^2 x#, x is not equal to zero, then the value of f(0) so that f is a continuous function is? 1)15 2)10 3)7 4)8
  
• How is 1+(x^2)/(1-(x^2)) = -1 +2/(1-x^2)? Please leave a detailed explanation
  
• How to rewrite cot(squared)-tan(squared) in terms of sin?
  
• What is tan^2 x can be expand? Like tan . tan ?
  
• Sin(8π+theta)?
  
• How do you factor #4x^2-32x+60#?
  
• What is the Euler's Identity in a nutshell?
  
• #\lim_(n\rarr\infty)(1-4/n)^n#: convergent or divergent?
  
• Express Log(Log(cosπ+isinπ)in the form of A+iB?
  
• How do you solve 3sec^(2)x-2tan^(2)x-4=0?
  
• How to find the value of sin 5π/6?
  
• Express #z_2=4+4i# in polar form?
  
• How do you differentiate #f(x)=x-xe^(x-x^2/2)# using the product rule?
  
• How do you expand #log AB^2#?
  
• At what height would the Kinetic energy of a falling particle be equal to half of its potential energy?
  
• How are momentum and impulse calculated?
  
• How do you implicitly differentiate #2=e^(xy)cosxy #?
  
• How to find the sum of this series?
  
• How do you evaluate #lim_(x->0)# #(cosax-cosbx)/x^2#?
  
• Find the log of? Z=5.2e^0.866
  
• Let #'f'# be an even periodic function with period '4' such that #f(x) = 2^x-1#, #0<=x<=2#. The number of solutions of the equation #f(x) = 1# in #[-10,20]# are?
  
• Find this limit: lim arctan(n!) , n->infinity ?
  
• A triangle has corners at #(9 ,7 )#, #(2 ,1 )#, and #(5 ,4 )#. What is the area of the triangle's circumscribed circle?
  
• What is an integral?
  
• How do I solve for x in degrees given sin 2x - 1 = 0?
  
• How do you solve #\frac { ( x - 4) } { 3} = \frac { 9} { 12}#?
  
• What is #f(x) = int xe^(x^2-1)-x^2e^x dx# if #f(2) = 4 #?
  
• How to solve #3sqrt(lnx)+lnx=4#?
  
• How do you simplify #(sin theta csc theta)/cot theta#?
  
• How to solve this integral?
  
• How do you find the hypothesis of an obtuse and acute triangle given Base = 2 Vertical Side = 4, Angle = 75, which is opposite of the hypothesis, and Hypothesis = x?
  
• How do you simplify #f(theta)=sec(theta/4)-cos(theta/4-pi/2)# to trigonometric functions of a unit #theta#?
  
• (Sinx+cox)dx ?
  
• Does the formula pr = bh apply to inscribed circles in quadrilaterals? or only triangles?
  
• How do you find the area of a parallelogram?
  
• A block weighing #14 kg# is on a plane with an incline of #pi/6# and friction coefficient of #1/5#. How much force, if any, is necessary to keep the block from sliding down?
  
• X-y = π/2 cotx. cosy +siny=?
  
• How do you find the integral of #sin( x^(1/2) ) dx#?
  
• Determine all values of θ between 0 and 4π for which sin θ =√3 over 2 ?
  
• How does "e" (2.718) help apply to applications/implications in real life?
  
• Find the general and principal value of log(-1+I)-log(-1-i)?
  
• Sin^2=4-2cos^2 ?
  
• 4x^3-6x is symmetric with respect to where?
  
• Determine the area of the region enclosed by #y=sqrtx# and #y=x^2#?
  
• P(a, b) is a point in the first quadrant. Circles are drawn through P touching the coordinate axes, such that the length of common chord of these circles is maximum, find the ratio a : b?
  
• How do you solve #3tanx+1=13#?
  
• A circle has a radius of 1.4 millimeters and a central angle EOG that measures 21°. What is the length of the intercepted arc EG? Use 3.14 for pi and round your answer to the nearest tenth.
  
• If I flip a coin, what are my chances of getting head?
  
• Question #6ad83
  
• Use DeMoivre's Theorem to find the three cube roots of 1?
  
• Solve #(n!)/(8!(n-8)!) = (n!)/(16!(n-16)!)# algebraically?
  
• How do you divide #( -i+1) / (2i +10 )# in trigonometric form?