Recent content by velouria131

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    Base Case in Strong Induction Proofs

    I am dealing with sets of problems that go as such: "How many n-cent postages can be formed from x and y cent stamps" For instance, I am doing a problem where x and y are 4 and 11 respectively. I don't understand how to determine a base case. I know that I must proof P(k + 1) for all P(i)...
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    If n is an integer, and 3n+2 is even, prove that n is also even

    I am still not sure where I would take this proof. I apologize in advance as this is maybe the third proof I have done, and lack serious intution. How would I go about asserting that 6k + 5 is odd for any integer k? Would I do this: 6k + 2 = 2m + 1 m = 3k + 2 ...however, this feels like...
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    If n is an integer, and 3n+2 is even, prove that n is also even

    I am coming across hiccups in my proof process. I am given this problem - Prove: if n is an integer and 3n + 2 is even that n is also even. I have to apply a contrapositive proof to this problem. The form is then \negq therefore \negp .The problem becomes - if n is odd, prove that 3n+2 is even...
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    Finding Tension in String Connected to Electrically Repelled Sphere

    Yes, absolutely. There is a diagram I can include if that is needed. The horizontal components are equivalent. However, the masses are not given, so I haven't a clue how to find the y component of the tension in the second string.
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    Finding Tension in String Connected to Electrically Repelled Sphere

    Homework Statement Two uniformly charged spheres are suspended by strings of length L from vertically adjustable supports. The spheres are in static equilibrium. The angles with respect to the vertical are Q=14.9°, and T=20.7°. The tension in the string supporting sphere Z (Z with respect to...
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    Limits of integration for regions between polar curves

    Thanks for the reply and welcoming! I still have a few questions about this nonetheless. I do not understand what you mean be "ignore the region". In the particular example I provided, I could not find the limits of integration because setting the two equations equal resolved two points. Only...
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    Limits of integration for regions between polar curves

    Alright. I completely confused about determining the area between regions of polar curves. However, I do feel that I have a solid grasp in finding areas for single functions. For a given function in polar form, I know that I find the limits of integration by setting the function equal to zero...
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    Relationship Between Kinetic Friction and Mechanical Energy

    There would be a change in kinetic energy but no change in potential energy. When pushing a box across a floor with friction, kinetic energy is lost to the frictional force which runs parallel to the direction of motion?
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    Relationship Between Kinetic Friction and Mechanical Energy

    Exactly. All of the above was taken as incorrect by the online homework program I am using. I am now stumped as to which one is the odd problem out.
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    Relationship Between Kinetic Friction and Mechanical Energy

    Homework Statement Which of the following statements about friction is correct? I. Kinetic friction always decreases the mechanical energy of a system. II. The static friction force cannot change the mechanical energy of a system. III. The force of friction always points in the direction...
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    Define Angle of Projection with The Given Parameters

    Alright, let's see. You say there are four expressions? T = sqrt of (-g)^2 -v^2(sinx)^2. T * vcosx is the horizontal distance and 1/2*T*vsinx is the maximum vertical distance. Am I missing something? Now, I guess the problem I am having (at this point) is conceptualizing as to what I am supposed...
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    Define Angle of Projection with The Given Parameters

    I appreciate the help, that clears up quite a bit. I have just woken up, and upon reading this recognize how expressions may be constructed representative of the angle theta using these two vt graphs. However, will this enable me to solve for an actual angle? Or by expression in terms of the...
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    Define Angle of Projection with The Given Parameters

    Homework Statement A projectile is launched with a speed v at an angle theta above the horizontal. Ignore air resistance. Derive an expression for the angle theta in terms of the parameters of the problem such that the horizontal distance from the launch of the object is N times greater than...
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