Answers created by Rohan A.K

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• How do you solve #2(y-7)^2=64#?
  
• What is the derivative of #sqrt(x^2-1)#?
  
• Radium-221 has a half-life of 30 seconds. How long will it take for 94% of a sample to decay?
  
• Jim has three times as many comic books as Charles. Charles has #2/3# as many books as Bob. Bob has 27 books. How many does Jim have?
  
• How do you solve #(x+1)/(x-1)=2/(2x-1)+2/(x-1)#?
  
• Question #e22ad
  
• If #f(x) = x^2 - 6# and #g(x) = 2^x - 1#, how do you find the value of #(g*f)(-3)#?
  
• How do you change 1400 to radian measure in terms of pi?
  
• How is the graph of #h(x)=3+5/2x^2# related to the graph of #f(x)=x^2#?
  
• How do you find the equation of the tangent line to the graph #y=x^2e^x-2xe^x+2e^x# through point (1,e)?
  
• How do you differentiate the following parametric equation: # x(t)=cos^2t, y(t)=sint/t #?
  
• How do you evaluate #h(-10)# given #h(n)=n+4#?
  
• Question #8be2a
  
• What are the domain and range of #f(x) = logx-5#?
  
• An ocean wave as a wavelength of 10 meters. These waves pass by a stationary boat every 2.0 seconds. What is the speed of the waves?
  
• How do you find the derivative of #ln(x^2+1)#?
  
• How do you write the equation of the line given the slope and the y-intercept. m = 2, y-intercept (0, 3)?
  
• How do you solve #e^(2x)+9e^x+36=0#?
  
• How do you find the second derivative of #y=x^5#?
  
• An object with a mass of # 12 kg# is lying on a surface and is compressing a horizontal spring by #50 cm#. If the spring's constant is # 6 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?
  
• An electric toy car with a mass of #6 kg# is powered by a motor with a voltage of #4 V# and a current supply of #7 A#. How long will it take for the toy car to accelerate from rest to #8/3 m/s#?
  
• The position of an object moving along a line is given by #p(t) = 3t - tsin(( pi )/6t) #. What is the speed of the object at #t = 2 #?
  
• An object's two dimensional velocity is given by #v(t) = ( 3t^2 - 5t , t )#. What is the object's rate and direction of acceleration at #t=2 #?
  
• What is the force, in terms of Coulomb's constant, between two electrical charges of #-45 C# and #42 C# that are #15 m # apart?
  
• If an object with uniform acceleration (or deceleration) has a speed of #2 m/s# at #t=0# and moves a total of 20 m by #t=4#, what was the object's rate of acceleration?
  
• A ball with a mass of #400 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #32 (kg)/s^2# and was compressed by #3/7 m# when the ball was released. How high will the ball go?
  
• A bacterial culture starts with 2,000 bacteria and doubles in size every 6 hours. How do you find an exponential model for the size of the culture as a function of time t in hours?
  
• A ball with a mass of #80 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #9 (kg)/s^2# and was compressed by #3/5 m# when the ball was released. How high will the ball go?
  
• How do you solve #-5 + 2 ln 3x = 5#?
  
• What is the force, in terms of Coulomb's constant, between two electrical charges of #-3 C# and #-4 C# that are #4 m # apart?
  
• An object travels North at #5 m/s# for #6 s# and then travels South at #2 m/s# for #4 s#. What are the object's average speed and velocity?
  
• If a #2 kg# object moving at #12 m/s# slows to a halt after moving #144 m#, what is the coefficient of kinetic friction of the surface that the object was moving over?
  
• A cart travels 4 meters east and then 4 meters north. How do you determine the magnitude of the cart's resultant displacement?
  
• A model train, with a mass of #4 kg#, is moving on a circular track with a radius of #3 m#. If the train's kinetic energy changes from #8 j# to #48 j#, by how much will the centripetal force applied by the tracks change by?
  
• How do you find the derivative of # 6x^(- 7/8)#?
  
• An astronaut with a mass of #75 kg# is floating in space. If the astronaut throws an object with a mass of #7 kg# at a speed of #1/4 m/s#, how much will his speed change by?
  
• What is the average speed of an object that is still at #t=0# and accelerates at a rate of #a(t) =t^2-1# from #t in [2, 3]#?
  
• An astronaut with a mass of #75 kg# is floating in space. If the astronaut throws a #8 kg# object at a speed of #3/4 m/s#, how much will his speed change by?
  
• How do you factor #12x^2-40x-32#?
  
• How do you solve #6=1-2n+5#?
  
• An object with a mass of # 12 kg# is lying still on a surface and is compressing a horizontal spring by #3/2 m#. If the spring's constant is # 6 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?
  
• If the length of a #2 cm# spring increases to #6 cm# when a #3 kg# weight is hanging from it, what is the spring's constant?
  
• If a #4 kg# object moving at #6 m/s# slows to a halt after moving #35 m#, what is the coefficient of kinetic friction of the surface that the object was moving over?
  
• A spring with a constant of #6/7 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #3/5 kg# and speed of #5/3 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?
  
• The force applied against an object moving horizontally on a linear path is described by #F(x)= 1/x #. By how much does the object's kinetic energy change as the object moves from # x in [ 1, 3 ]#?
  
• If an object is moving at #2 m/s# over a surface with a kinetic friction coefficient of #u_k=6 /g#, how far will the object continue to move?
  
• How do you differentiate #f(x)=e^(5x^2+x+3) # using the chain rule?
  
• A ball with a mass of #12kg# moving at #4 m/s# hits a still ball with a mass of #2 kg#. If the first ball stops moving, how fast is the second ball moving?
  
• How do you find the limit of #(e^x + x)^(1/x)# as x approaches 0?
  
• How do you find the line that passes through (4,3) and (5,8)?
  
• A car starts from rest and after 7 seconds it is moving at 42 m/s. What is the car's average acceleration?
  
• What is the total charge of 75.0 kg of electrons?
  
• What is the derivative of #-sin^2(x)#?
  
• How much momentum does a #2 kg# object moving at #4 m/s# have?
  
• A model train, with a mass of #6 kg#, is moving on a circular track with a radius of #4 m#. If the train's kinetic energy changes from #24 j# to #42 j#, by how much will the centripetal force applied by the tracks change by?
  
• How do you differentiate #f(x)=2ln(1/x)^2# using the chain rule?
  
• What is #f(x) = int (3-x)e^x dx# if #f(0)=-2 #?
  
• How do you graph #y + 2 = 7#?
  
• If a #10kg# object moving at #1 m/s# slows down to a halt after moving #3/2 m#, what is the friction coefficient of the surface that the object was moving over?
  
• Question #716c5
  
• Question #29635
  
• Using the limit definition, how do you find the derivative of #f(x)= 2x^2-x#?
  
• How do you simplify #e^(3 ln(x)) #?
  
• What is the value of the summation #sum_(i=1)^4(2i + 6i^2)#?
  
• How do you find the inverse of #log _(1/2) (x+4)=y#?
  
• How do you find the length of the curve for #y=2x^(3/2)# for (0, 4)?
  
• How do you differentiate #f(x)=log (x/5)#?
  
• What is the derivative of #sqrt(x+1)#?
  
• What is the domain of #g(x) = sqrt(-3x - 2)#?
  
• How do you find the sum of the infinite geometric series 15 - 3 + 0.6 - 0.12 + . . .?
  
• How do you solve #log_10 0.01#?
  
• How do you find the inverse of #y = -log_4x#?
  
• How do you find the inverse of #f(x)=(7/x)-3#?
  
• What is the distance between the y-intercepts of the graph of #x + 8 = 2(y+3)^2#?
  
• What is the equation of the line tangent to # f(x)=1/(1-x)# at # x=0#?
  
• How do you graph #x-y=1# by plotting points?
  
• How do you graph #y=sqrt(x-3)#?
  
• An astronaut with a mass of #95 kg# is floating in space. If the astronaut throws an object with a mass of #7 kg# at a speed of #7/4 m/s#, how much will his speed change by?
  
• If a #6kg# object moving at #4 m/s# slows down to a halt after moving 12 m, what is the friction coefficient of the surface that the object was moving over?
  
• An object with a mass of #3 kg# is revolving around a point at a distance of #4 m#. If the object is making revolutions at a frequency of #5 Hz#, what is the centripetal force acting on the object?
  
• What is the angular momentum of an object with a mass of #7 kg# that moves along a circular path of radius #12 m# at a frequency of # 2/3 Hz #?
  
• What is the speed of an object that travels from #(4,-7,1) # to #(-1,9,3) # over #6 s#?
  
• If a spring has a constant of #6 (kg)/s^2#, how much work will it take to extend the spring by #50 cm #?
  
• The force applied against a moving object travelling on a linear path is given by #F(x)= 2x^3+6x#. How much work would it take to move the object over #x in [2, 3] #?
  
• How do you graph the equation by plotting points #4x - 3y = 6#?
  
• What is the slope of the line passing through the following points: #(4, -1) , (-1, 5) #?
  
• What is #int sinx cosx #?
  
• How do you find the inverse of #f(x) = log 2^x#?
  
• How do you find the inverse of #y=log_3 9x#?
  
• Let #f(x) = klog_2x# Given that #f^-1 (1) = 8# , what is the value of k?
  
• How do you solve #2^(x+2) = 8#?
  
• How do you solve #logx+log(x+1)=log6#?
  
• How do you integrate #int 1/sqrt(x^2-6) # using trigonometric substitution?
  
• For #f(x)=2^x # what is the equation of the tangent line at #x=1#?
  
• An object with a mass of # 18 kg# is lying on a surface and is compressing a horizontal spring by #60 cm#. If the spring's constant is # 8 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?
  
• How do you find the inverse of #f(x)=2-2x^2#?
  
• What is the integral of #int sin^3 3x cos 3x dx#?
  
• How do you find the inverse of #f(x)=e^x-1#?
  
• How do you solve #-x/9= 5/3#?
  
• What is the derivative of #6/tan(2x)#?
  
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