If P (x) = x4 -3x3 +5x-7 and R(x) = 3x4 +2x - 4, find P (x) - R (x)
Find the derivative of f(x) = 3x4 - 8x2+2x–7.
Find the derivative of the following function. f(x) = (2x - 3)(3x4 +7x) f'(x) = 2(3x4 + 7x)+(2x - 3)(12x3 +7) f'(x) = 2 + (12x3 + 7) f'(x) = 2(12x3 + 7) f'(x) = 2(3x4 +7x) – (2x - 3)(12x3 + 7)
Find y'. y = log7(x4 – 3x3 + 4) y' = Find y'. y = [In(x4 +7)]2 y' =
17. MULTIPLE CHOICE Let f(x) = x4 - 3x3 + 5x - 3. Use synthetic substitution to find f(-2). F 37 H -21 G 27 I -33 Given a polynomial and one of its factors, find the remaining factors of the polynomial. 18. 2x3 + 15x2 + 22x – 15; x + 5 19. 23 - 4x2 + 10x - 12; x - 2
(7 points total) Calculator allowed. Let f(x) = -x2 + 4, g(x) = x4 + 3x3 – x2 + 1, and let R be the region enclosed by f(x) and g(x). y -5 -2 0 . -5 -10 -15 Made with Desmos (a) (2 points) Find the area of R, round to three places. (b) (3 points) Suppose R is the base of a solid whose cross-sections are semi-circles perpendicular to the x-axis. Find the volume of the solid. Round...
Solve the linear system x + 2x2 + 3x3=7 2x, + 5x2 + 3x3 = 12 X, + Ox₂ + 8x₂ = 10.
For h(x) = x5 – 3x4 + 2x2 – 5x + 8, use the Remainder Theorem to find h(-4). Please show your work
Find f'(x) and (c) Function Value of c R(x) = (x + 2x)(2x + 2x - 2) c=0 x) (8x3+2)(x4 + 2x) + (2x4 + 2x - 2)(4x3 + 2)
**PLEASE USE MATLAB 2. For each system of linear algebraic equations, determine if the system is underdetermined, has an exact solution, or is overdetermined. If the system is underdetermined, find the general solution and then find a particular solution and check your answer. If the system is exact, find the unique solution and check your answer. If the system is overdetermined, find a least squares solution. 3x, + 2x,-4x, + x,-2 -x, +5x2 + 2x, + 3x4 = 4 4x,...
4. Express the quadratic form f(x. x3, xz) = x2 – 2x, x2 + 5x/X3 – x2 + 3x2x3 +3x3? In the form of xTAx. a) A is an upper triangular matrix. b) A is a symmetric matrix.