Select all of the equations that represent a nonlinear function. O y 3x2+ 9x +6 y x(3x + 10) 3
16. GEOMETRY A triangle has an area of 3x2+ 9x-54 square centimeters. f the height of the triangle is x+6 centimeters, find the length of the base.
7. Show that the equation f(x) = x^3 + 3x^2 - 9x + 7 = 0 has a solution for some x is E(-6; -5). Apply Newton’s method with an initial guess x0 = -5 to find x2. 8. Find the intervals of increase and decrease of the function x2e^-2x. 9. Sketch the graph of the curve y = x3 + 3x2 - 9x + 7. Be sure to find the intervals of increase, decrease and constant concavity and all...
3. (12 pts) Find the absolute maximum and absolute minimum of f(x) x3 3x2-9x -4 on the interval [0, 4]. 12 AT 4. (10 pts) Sketch the graph of a function f(x) which has the following characteristics: (2) 1, f(5) 5, lim f(), i f)1, m끊f(x)-1, and limo f(x) = 4. 3. (12 pts) Find the absolute maximum and absolute minimum of f(x) x3 3x2-9x -4 on the interval [0, 4]. 12 AT 4. (10 pts) Sketch the graph of...
Evaluate the following integrals. S 5x-2 dx x2-4 s 9x+25 (x+3)2 dx 2 x3+3x2-4x-12 dx x2+x-6
6) Graph by using the first and second derivative tests of f(x) = x +3x2 - 9x +4
Use the given definition to find f(A): If R(x) = 40 + 2x + 3x2 + ... + ant" is a polynomial function, then for a square matrix A, RA) = aol + A +1242 + + F(x) = 4 - 9x + x? --13] VA) 11
Evaluate the integrals. 3x2 - 4x+7 dx (x2–2)2
Prove that the polynomial 9x^4 + 4x^2 − 3x + 7 is irreducible in Q[x].
Solve the following for x 4x ≡ 7 (mod 19) 6x ≡ 8 (mod 31) 9x ≡ 7 (mod 16)