4X² + y2 = 45 4(x-1) ² + y²= 25 Solve algebraically Check for non-Real solutions
Solve the system by the method of elimination and check any
solutions algebraically. (If there is no solution, enter NO
SOLUTION. If the system is dependent, express x and
y in terms of the parameter a.)
(x, y) = (___________________________________________)
Solve the system of linear equations and check any solutions
algebraically.
2x + 4y + z = 3 x – 2y 3z = 4 x + y – z = -1
9. (4pts) Consider the linear functions f(x) 6-x+3(x-4) and g (x)-3(x+)-5(+1). Solve f(x) g() algebraically, showing all steps. (You may also check graphically) 10. 4pts) Test algebraically whether the function f(x)-4x- is even, odd, or neither even nor odd. Show your work. (You may also check your results graphically.) 11. (4pts) Determine whether the graph of y =-x' + 4x is symmetric with respect to the x-axis, the y-axis, and/or the origin. Use your graphing calculator make a sketch below...
(1 point) It can be shown that yı = e-4x and y2 = xe-4x are solutions to the differential equation y + 8y +16y=0 on the interval (-00, 00). Find the Wronskian of yn y (Note the order matters) W(y1, y2) = Do the functions yn y form a fundamental set on (-00,00)? Answer should be yes or no
16. a.) Show that Y. and Y2 = In x are both solutions of the non-linear differential equation y' + (y') = 0 by substituting. b.) Is Y + Y also a solution, yes or no? Demonstrate by substituting, c.) Is 99, + 2Y2 also a solution, yes or no? Demonstrate by substituting.
Solve the system of linear equations.
Solve the system of linear equations and check any solutions algebraically. parameter a.) x + y + z = 18 2x y + z = 24 3x - Z = 15 (x, y, z) =
solve the following exponential equations, algebraically using
logarithms. then, check your answer using technology. express tour
answers to the nearest tenth. pls help me fill in the blanks
too.
Solve the following exponential equations, algebraically using logarithms. Then, check your using technology. Express your answers to the nearest tenth. 9. answer 2-5-3-4 53-7 c. b 4-85 a. Algebraically (2 marks) Algebraically (2 marks) Algebraically (2 marks) Graphically (1 mark) Graphically (1 mark) Graphically (1 mark) y,= Coordinates of intersection Coordinates...
Solve each equation
algebraically and check answers.
3. Solve each equation algebraically; check your answers. (a) 32x-9 = 243 (b) n(x2 – 2x + 2) = 0 () log(7x - 4) = 1
solve the rational equation check extraneous solutions x2-2x+1/x3+x2-2x=1 -x2+4x/x2-9=4x
4. Verify that yi xPJp(x) and y2 - xPYp(x) are linearly independent solutions of xy" + (1-2 )y, + xy-0, x > 0.
4. Verify that yi xPJp(x) and y2 - xPYp(x) are linearly independent solutions of xy" + (1-2 )y, + xy-0, x > 0.