Prove that cos(3t)=4cos^3(t)-3cos(t). Use this to show that we can trisect any angle if we know h...
Prove that cos(3t)=4cos^3(t)-3cos(t). Use this to show that we can trisect any angle if we know how to solve a cubic equation c=4x^3-3x, where c is a constant. Then explain how to solve the equation c=4x^3-3x by intersecting two parabolas. Draw these parabolas.
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Prove that cos(3t)=4cos^3(t)-3cos(t). Use this to show that we can trisect any angle if we know h...
Explain each step Consider the motion of a particle with equation of motion 2E + 3a: + 2x = 3 cos t + 4 sin t. (a) Find P such that Pcos(t +d)=3cos t + 4 sin t. (There is no need to determine >.)...
Explain each step
Consider the motion of a particle with equation of motion 2E + 3a: + 2x = 3 cos t + 4 sin t. (a) Find P such that Pcos(t +d)=3cos t + 4 sin t. (There is no need to determine >.) (b) We now look at the long-term behaviour of the particle. By choosing to start measuring t at a suitable point, we may assume that ф-0 (there is no need to show this)E the amplitude...
How to prove this 3. [BC#1.5.8] Show that for any complex numbers zi,22 E C, we...
How to prove this
3. [BC#1.5.8] Show that for any complex numbers zi,22 E C, we have = a1 +bi, etc.), or you can appeal to po- This can be done directly ( lar/exponential form(s)...
Question 8 please 5. We start with Schrodinger's Equation in 2(x,t) = H¥(x,t). We can write...
Question 8 please
5. We start with Schrodinger's Equation in 2(x,t) = H¥(x,t). We can write the time derivative as 2.4(x, t) = V(x,+) - (xt), where At is a sufficiently small increment of time. Plug the algebraic form of the derivative into Schrodinger's Eq. and solve for '(x,t+At). b. Put your answer in the form (x,t+At) = T '(x,t). c. What physically does the operator T do to the function '(x,t)? d. Deduce an expression for '(x,t+24t), in terms...
math final 172 Problems 16-17 are worth 8 credits each 1 Let fx)9 and let ga)-1. Specity the domain of f(x)/slz). 2. Draw the graph of y 3cos 2x from z0to x-2 3. Draw the graph of y 4-+2. 4Write a...
math final 172
Problems 16-17 are worth 8 credits each 1 Let fx)9 and let ga)-1. Specity the domain of f(x)/slz). 2. Draw the graph of y 3cos 2x from z0to x-2 3. Draw the graph of y 4-+2. 4Write an equation of the line perpendicular to the line y-2r-3 through (4,1) and sketch its graph. 5. Draw the graph of y- -2r-2 and label its maximum 6. Draw the graph of y-V-I 7. In triangle ABC, side a-8 in.,...
please explain the steps as well! it’s imp for me to understand this question. i have attached the table for last part...
please explain the steps as well! it’s imp for me to understand
this question. i have attached the table for last part of the
question
Consider the second order non-homogeneous constant coefficient linear ordinary differ- ential equation for y(x) ору , dy where Q(x) is a given function of r For each of the following choices of Q(x) write down the simplest choice for the particular solution yp(x) of the ODE. Your guess for yp(x) will involve some free parameters...
1. (10 points) We want to compare the numbers 3 and -6. Using 4-bit signed 2's complement numbers, show how we can use the process of binary addition to calculate a result that will tell us how t...
1. (10 points) We want to compare the numbers 3 and -6. Using 4-bit signed 2's complement numbers, show how we can use the process of binary addition to calculate a result that will tell us how these two numbers compare. (Just show the calculation here. The next part will be the interpretation of the result.) Now briefly explain how this result can be interpreted by a hardware circuit to indicate how the two numbers compare. (You don't need to...
need to solve the mathematical model to prove that we can get the equations i Q1...
need to solve the mathematical model to prove
that we can get the equations i Q1 a methematically
QI. A vertical pile is used to transfer the vertical load from the soft ground surface to the rock surface. It is assumed that the stiffness of the rock is sufficient to prevent any vertical displacement so that the lower edge of the rod may be considered as fixed. The soft ground acts on the pile along its length with a force...
Please show full working. Please only answer if you know how. Calculate the 2-D flux of a constant vector field F-a across a curve C : r(t) :r(t)s l y/ t 3. (z < t < b. İll(licatiu" il . Wha...
Please show full working.
Please only answer if you know how.
Calculate the 2-D flux of a constant vector field F-a across a curve C : r(t) :r(t)s l y/ t 3. (z < t < b. İll(licatiu" il . What is the ilux when the curve C is closed? Explain e positive direction
Calculate the 2-D flux of a constant vector field F-a across a curve C : r(t) :r(t)s l y/ t 3. (z
Use the solution you found in Part 1f to show that the Gompertz model can be...
Use the solution you found in
Part 1f to show that the Gompertz model can be rewritten as
dP/dt=−λe^(−rt)P, where λ is a positive constant.
j) Consider grouping the factors in the equation like this:
dP/dt=-(λe^(-rt))P. Make an interpretation of this equation. In
other words, what assumption about tumour growth would lead us to
write down such an equation?
k) Now consider grouping the factors in the equation like this:
dP/dt=−λ(e^(-rt)P). Again, explain what assumption about tumour
growth would lead...
1. Use the Keynesian cross model and show graphically in which direction will equilibrium level of...
1. Use the Keynesian cross model and show graphically in which direction will equilibrium level of income (or output) change. For each of the following, write down the formula for the size of the change of income (i.e. write down the formula for ∆Y): (i) An increase in government purchases (ii) An increase in taxes (iii) An increase in government purchase and an increase in taxes of equal amount (Nb: You must draw a SEPARATE graph for parts (i) and...
Explain each step
Consider the motion of a particle with equation of motion 2E + 3a: + 2x = 3 cos t + 4 sin t. (a) Find P such that Pcos(t +d)=3cos t + 4 sin t. (There is no need to determine >.) (b) We now look at the long-term behaviour of the particle. By choosing to start measuring t at a suitable point, we may assume that ф-0 (there is no need to show this)E the amplitude...
How to prove this
3. [BC#1.5.8] Show that for any complex numbers zi,22 E C, we have = a1 +bi, etc.), or you can appeal to po- This can be done directly ( lar/exponential form(s)...
Question 8 please
5. We start with Schrodinger's Equation in 2(x,t) = H¥(x,t). We can write the time derivative as 2.4(x, t) = V(x,+) - (xt), where At is a sufficiently small increment of time. Plug the algebraic form of the derivative into Schrodinger's Eq. and solve for '(x,t+At). b. Put your answer in the form (x,t+At) = T '(x,t). c. What physically does the operator T do to the function '(x,t)? d. Deduce an expression for '(x,t+24t), in terms...
math final 172
Problems 16-17 are worth 8 credits each 1 Let fx)9 and let ga)-1. Specity the domain of f(x)/slz). 2. Draw the graph of y 3cos 2x from z0to x-2 3. Draw the graph of y 4-+2. 4Write an equation of the line perpendicular to the line y-2r-3 through (4,1) and sketch its graph. 5. Draw the graph of y- -2r-2 and label its maximum 6. Draw the graph of y-V-I 7. In triangle ABC, side a-8 in.,...
please explain the steps as well! it’s imp for me to understand
this question. i have attached the table for last part of the
question
Consider the second order non-homogeneous constant coefficient linear ordinary differ- ential equation for y(x) ору , dy where Q(x) is a given function of r For each of the following choices of Q(x) write down the simplest choice for the particular solution yp(x) of the ODE. Your guess for yp(x) will involve some free parameters...
1. (10 points) We want to compare the numbers 3 and -6. Using 4-bit signed 2's complement numbers, show how we can use the process of binary addition to calculate a result that will tell us how these two numbers compare. (Just show the calculation here. The next part will be the interpretation of the result.) Now briefly explain how this result can be interpreted by a hardware circuit to indicate how the two numbers compare. (You don't need to...
need to solve the mathematical model to prove
that we can get the equations i Q1 a methematically
QI. A vertical pile is used to transfer the vertical load from the soft ground surface to the rock surface. It is assumed that the stiffness of the rock is sufficient to prevent any vertical displacement so that the lower edge of the rod may be considered as fixed. The soft ground acts on the pile along its length with a force...
Please show full working.
Please only answer if you know how.
Calculate the 2-D flux of a constant vector field F-a across a curve C : r(t) :r(t)s l y/ t 3. (z < t < b. İll(licatiu" il . What is the ilux when the curve C is closed? Explain e positive direction
Calculate the 2-D flux of a constant vector field F-a across a curve C : r(t) :r(t)s l y/ t 3. (z
Use the solution you found in
Part 1f to show that the Gompertz model can be rewritten as
dP/dt=−λe^(−rt)P, where λ is a positive constant.
j) Consider grouping the factors in the equation like this:
dP/dt=-(λe^(-rt))P. Make an interpretation of this equation. In
other words, what assumption about tumour growth would lead us to
write down such an equation?
k) Now consider grouping the factors in the equation like this:
dP/dt=−λ(e^(-rt)P). Again, explain what assumption about tumour
growth would lead...
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