solve and name each system question Solve and name each system of equation 12. 4x + 3y =-13 -x + y = 5 13. 7x + 2y = 6 14x + 4y 12 14. 9x-5y 1 -18x + 10y = 1 15. 2x + y + z = 9 -x-y+ z 1 3x-y +z 9
Question 19 Solve the equation by expressing each side as a power of the same base and then equating exponents. B(x - 10/6 - Vo {16} (13) © 22} (12) 5 Poin Question 20 en Select the function for the graph from the functions listed.
The function g is defined as follows. x² + 6x - 16 x ²5 x 14 Find g(3). Simplify your answer as much as possible. If applicable, click on "Undefined". o 5 Undefined ? x
5. [12 Marks) Consider the level surface of the function f(x, y, z) defined by f(x, y, z) = x2 + y2 + x2 = 2a?, (1) where a is a fixed real positive constant, and the point u = (0,a,a) on the surface f(x, y, z) = 2a. a) Find the gradient of f(x, y, z) at the point u. b) Calculate the normal derivative of f(x, y, 2) at u. c) Find the equation of the tangent plane...
Solve for x: |x +61-2 = 13 Find the zeros of the function algebraically & state their multiplicity. Then use the multipliciyt to determine the graph's behavior at each zero. Sketch a graph of the function, labeling each zero as an ordered pair. f(x) = (x² + 12x + 32)
(2 points) For x € (-15, 12] the function f is defined by f(x) = x (x - 8) On which two intervals is the function increasing? to and to Find the region in which the function is positive: to Where does the function achieve its minimum?
Let h(x) = ln(x^2 + 1) be a function defined on (−∞,∞). Find the equation of the tangent line to the curve of h(x) at x = 1. Use the exact values only
11. Find all variables if both are parallelograms 16 w 45 z 12.) Solve for x if the picture is a parallelogram 41 ix + 5 13.)Find the value of x if the figure is a rectangle 10m x -2 11. Find all variables if both are parallelograms 16 w 45 z 12.) Solve for x if the picture is a parallelogram 41 ix + 5 13.)Find the value of x if the figure is a rectangle 10m x -2
5. Consider Legendre equation for a function y(x) defined in the interval -1. Changing the variable y(cos θ) x cos θ in equation (1) derive the trigonometric form of Legendre equation for a function T (0) where 0 θ π: sin θ Then the general solution to (3) is T (0) y(cos θ) AP, (cos0) + BQ, (cos0). 5. Consider Legendre equation for a function y(x) defined in the interval -1. Changing the variable y(cos θ) x cos θ in...
х 0<I< 3. The tent function is defined by T(x) = 1 - < x < 1 2 otherwise (a) Express T(2) in terms of the Heaviside function. (b) Find the Laplace transform of T(x). (c) Solve the differential equation y" – y=T(x), y(0) = y'(0) = 0