3. Consider the expression -((4x+3)/(7)). Show all work a. Can the given expression be evaluated at...
3. Consider the expression -((4x+3)/(7)). Show all work
a. Can the given expression be evaluated at x=0? If yes, evaluate it; if no, explain why not.
b. Are there any values of x for which the given expression equals 0? If yes, find them; if no, explain why not.
c. Find all the values of x for which the given expression equals (1/(x-2)).
Homework Answers
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3. Consider the expression -((4x+3)/(7)). Show all
work
a. Can the given expression be evaluated at...
show work, neat writting please and thanks! 9) Given: f(x) = x - 7x2 + 4x...
show work, neat writting please and thanks!
9) Given: f(x) = x - 7x2 + 4x + 12 a) List some possible rational zeros. b) Use the Factor Theorem to determine if (x - 6) is a factor of f(x). (Yes or No? Show your work.) c) If (x - 6) is a factor, use synthetic division to find the other factors. List them here. d) List the zeros of f(x). C) Rational Functions: 10) Given the rational function: a)...
show all work, no written work f(x)= Vx? -2.Vx -3 Given: %3D a. Investigate the function...
show all work, no written work
f(x)= Vx? -2.Vx -3 Given: %3D a. Investigate the function by these criteria: 1) Domain; 2) Axis intersections; 3) Asymptotes (show the relevant limits) 4) Intervals of increase and decrease; 5) Points of relative extremum; 6) Intervals of concavity (upward or downward); 7) Inflection points. 8) Draw the function's graph. b. Find the equations of the tangent lines to the graph of the function at all extremum and inflection points, and add them to...
7. [23] Given the following function:: f(x)-x-4x +6 (a) Find all of the critical points of...
7. [23] Given the following function:: f(x)-x-4x +6 (a) Find all of the critical points of this function. Show your work. (b) Characterize each of the critical points as a local maximum, a local minimum or neither. Show your work. (c) Find all of the inflection points of this function (verify that it/they are indeed inflection points). (d) On what interval(s) is this function both decreasing and concave down? on the interval -15xs1. Show (e)Find the global maximum and minimum...
please show work, im so lost on all of these Given f(x, y) = 4x 5xys...
please show work, im so lost on all of these
Given f(x, y) = 4x 5xys + 3y?, find f(x,y) = fy(x, y) = f(x, y) = 5x2 + 4y? $2(5, - 1) = Given f(x, y) = 4x2 + xy 4x² + xys – 67%, find the following numerical values: $:(3, 2) = fy(3, 2) = Given f(x, y) = 3x4 – 6xy2 – 2y3, find = fry(x, y) = Find the critical point of the function f(x, y)...
3. (Existence/uniqueness theorem, Strogatz 6.2): Consider the system (a) Show by substitution tha...
3. (Existence/uniqueness theorem, Strogatz 6.2): Consider the system (a) Show by substitution that (t) sin, () cost is an exact solution. (b) Now consider another solution, with initial condition a(0)-1/2, y(0) 0. Without doing any work, explain why this solution must satisfy y2 < 1 for all t < oo. For the systems in problems 4-7, find the fixed points, linearize about them, classify their stability, draw their local trajectories, and try to fill in the full phase portrait.
3....
7) For f(x) = x - 4x + 9x? - 201 + 20 a) List the...
7) For f(x) = x - 4x + 9x? - 201 + 20 a) List the potential rational zeros. b) Determine which values from part (a) are the real zeros of the functions. (You need not show work.) 8) Find the complex zeros of each function. a) 2-10 b) x-1=0 c) 4 + 13x2 + 36 = 0 d) 2x + 3x + 2x + 3 = 0
please show all work Directions: Show all work. No credit can be given without proper justification....
please show all work
Directions: Show all work. No credit can be given without proper justification. 1. Solve the initial value problem (a) (3 points) " - 9x = 82(t); (0) = x'(0) = 0 (b) (3 points) " + 16x = 8(t) + cos(t); (0) = x'(0) = 0
3. (Existence/uniqueness theorem, Strogatz 6.2): Consider the systenm (a) Show by substitution th...
3. (Existence/uniqueness theorem, Strogatz 6.2): Consider the systenm (a) Show by substitution that r(t)-sint, y(t) - cost is an exact solution (b) Now consider another solution, with initial condition 2(0) = 1/2, y(0) = 0, Without doing any work, explain why this solution st satisfy a2 + y2 <1 for all t< oo. For the systems in problems 4-7, find the fixed points, lincarize about them, classify their stability, draw their local trajectories, and try to fill in the full...
Please show all work. TIA 3 points -5 3 7 Consider the initital value problem -...
Please show all work. TIA
3 points -5 3 7 Consider the initital value problem - x, x(0) 2 -10 0 The smaller eigenvalue is וג- The bigger eigenvalue is X2- The general solution can be written as xC1 The solution of the Initial Value Problem is eit+ x
Please write neat and show work/steps 3. Consider the function f(x) = (4x +5 on the...
Please write neat and show work/steps
3. Consider the function f(x) = (4x +5 on the interval (-1.1). (a) Find the quadratic Taylor approximation fr(x) > 00 + 10 + c2x2. Calculate the C to four decimal places. (b) Find the quadratic Legendre approximation f1(x) -- 20 +ajx + a2x?. Calculate the a; to four decimal places. If the two approximations differ greatly, something is probably wrong. You may want to consult section 4 in the pdf I sent you...
show work, neat writting please and thanks!
9) Given: f(x) = x - 7x2 + 4x + 12 a) List some possible rational zeros. b) Use the Factor Theorem to determine if (x - 6) is a factor of f(x). (Yes or No? Show your work.) c) If (x - 6) is a factor, use synthetic division to find the other factors. List them here. d) List the zeros of f(x). C) Rational Functions: 10) Given the rational function: a)...
show all work, no written work
f(x)= Vx? -2.Vx -3 Given: %3D a. Investigate the function by these criteria: 1) Domain; 2) Axis intersections; 3) Asymptotes (show the relevant limits) 4) Intervals of increase and decrease; 5) Points of relative extremum; 6) Intervals of concavity (upward or downward); 7) Inflection points. 8) Draw the function's graph. b. Find the equations of the tangent lines to the graph of the function at all extremum and inflection points, and add them to...
7. [23] Given the following function:: f(x)-x-4x +6 (a) Find all of the critical points of this function. Show your work. (b) Characterize each of the critical points as a local maximum, a local minimum or neither. Show your work. (c) Find all of the inflection points of this function (verify that it/they are indeed inflection points). (d) On what interval(s) is this function both decreasing and concave down? on the interval -15xs1. Show (e)Find the global maximum and minimum...
please show work, im so lost on all of these
Given f(x, y) = 4x 5xys + 3y?, find f(x,y) = fy(x, y) = f(x, y) = 5x2 + 4y? $2(5, - 1) = Given f(x, y) = 4x2 + xy 4x² + xys – 67%, find the following numerical values: $:(3, 2) = fy(3, 2) = Given f(x, y) = 3x4 – 6xy2 – 2y3, find = fry(x, y) = Find the critical point of the function f(x, y)...
3. (Existence/uniqueness theorem, Strogatz 6.2): Consider the system (a) Show by substitution that (t) sin, () cost is an exact solution. (b) Now consider another solution, with initial condition a(0)-1/2, y(0) 0. Without doing any work, explain why this solution must satisfy y2 < 1 for all t < oo. For the systems in problems 4-7, find the fixed points, linearize about them, classify their stability, draw their local trajectories, and try to fill in the full phase portrait.
3....
7) For f(x) = x - 4x + 9x? - 201 + 20 a) List the potential rational zeros. b) Determine which values from part (a) are the real zeros of the functions. (You need not show work.) 8) Find the complex zeros of each function. a) 2-10 b) x-1=0 c) 4 + 13x2 + 36 = 0 d) 2x + 3x + 2x + 3 = 0
please show all work
Directions: Show all work. No credit can be given without proper justification. 1. Solve the initial value problem (a) (3 points) " - 9x = 82(t); (0) = x'(0) = 0 (b) (3 points) " + 16x = 8(t) + cos(t); (0) = x'(0) = 0
3. (Existence/uniqueness theorem, Strogatz 6.2): Consider the systenm (a) Show by substitution that r(t)-sint, y(t) - cost is an exact solution (b) Now consider another solution, with initial condition 2(0) = 1/2, y(0) = 0, Without doing any work, explain why this solution st satisfy a2 + y2 <1 for all t< oo. For the systems in problems 4-7, find the fixed points, lincarize about them, classify their stability, draw their local trajectories, and try to fill in the full...
Please show all work. TIA
3 points -5 3 7 Consider the initital value problem - x, x(0) 2 -10 0 The smaller eigenvalue is וג- The bigger eigenvalue is X2- The general solution can be written as xC1 The solution of the Initial Value Problem is eit+ x
Please write neat and show work/steps
3. Consider the function f(x) = (4x +5 on the interval (-1.1). (a) Find the quadratic Taylor approximation fr(x) > 00 + 10 + c2x2. Calculate the C to four decimal places. (b) Find the quadratic Legendre approximation f1(x) -- 20 +ajx + a2x?. Calculate the a; to four decimal places. If the two approximations differ greatly, something is probably wrong. You may want to consult section 4 in the pdf I sent you...
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