Suppose that f(2) = -3, 9(2) = 4, f'(2) = -5, and g(2) = 1. Find h'(2). (a) h(x) = 3f(x) - 2g(x) h'(2) h(x) = f(x)g(x) (b) h'(2) (c) h(x) = f(x) g(x) h'(2) (d) h(x) g(x) 1 + f(x) h'(2)
a с е f such that all the entries are b Given that A = d g h nonzero and |A| = 5. (a) Evaluate the following determinants. (1) |2g – a3 2h – a² b 2i – a²c| d f b е ܢ a с a с b с e f (ii) d f 0 7 4 0 g h i (b) What is the volume of the parallelepiped generated by (2d, 2a, 2g), ū = (e, b, h),...
Question 2 f'(x) glx) g(x) g'(x) x 5 6 4 z 3 z -4 3 -2 2 4 5 o -5 8 2 A. find h'll), where h(x)=2x-3f(x) 3 0 a B find hils), where h(x) = f(x) g(x) C. find h (3), where h(x) = f(g(x)) D. find n (4), where h(x)= (g(x))*
8. Using Chain Power Rule a) ∫ (3X^2 + 4)^5(6X) dx b) ∫](2X+3)^1/2] 2dx c) ∫X^3](5X^4+11)^9 dx d ∫(5X^2(X^3-4)^1/2 dx e) ∫(2X^2-4X)^2(X-1) dx f) ∫(X^2-1)/(X^3-3X)^3 dx g) ∫(X^3+9)^3(3X^2) dx h) ∫[X^2-4X]/[X^3-6X^2+2]^1/2 dx
Suppose that f(2) = -5, 9(2) = 4, f '(2) = =1, and g'(2) = 2. Find h' (2). (a) h(x) = 2f(x) – 3g(x) h'(2) = (b) h(x) = f(x)g(x) h(2) = h(x) = f(x) g(x) h'(2) = (d) h(x) = h(x) = (t h'(2) =
Need help with functions. f(x) = V5-x -5 -4 -3 -2 -1 i 2 -2y=h(x) a) f(-4)= d) (h/g)(-2) = b) x so that h(x) = 4. e) f(g()) = c) 2h(4)-f(1)+8 (2) f) g(h(4)) =
These are linear algebra problems. 1 4 1 1 2 7 2 2 Let A 1 4 .. 1 2 find Its Inverse. Decide whether the matrix A is invertible, and if so, use the adjoint method Enter as a matrix, exactly in fractional from if required, if not invertible enter "NA" A-1 la b -2a -2b -2c d e f d = -2,find Given that g hi g-3d h-3e -3f -2a -2b -2c d f g 3d h 3e...
x+5 + 4. Solve +7x+2 x-1 212+5x+2 3x28x+4 (a) You know the drill! Factor the denominators! (NOTE: If you need help factoring these polynomials, see Helping Handout: Lab 1B) i. Factor the first denominator: 6x2+7x +2 = ( OC ) ii. Factor the second denominator: 3x+8x+4-( iii. Factor the third denominator: 2x2+5x+2 = ( ) (b) Rewrite with factored denominators: x+5 x-1 X + (2x+ 1)(3x+2) x+2)(3x+2 ) (c) Find the restrictions: (x+2) (2x+1) AND AND (d) Find the LCM:...
Decide whether or not the matrices are inverses of éach other. and 0 1 -110 10 A]Yes' 」 B) No Find the inverse of the matrix, if it exists. 8) A36 A) B) C) D) T5亏 15 5 15可 15 3 Compute the determinant of the matrix. 2 5 5 9) -2 2 -3 4 2 -5 A)-162 B)-42 C) 42 D) 162 a b c 10) Let d ef g h i 8. Find the determinant below. a b...
Find f(1), f(2), f(3), f(4) and f(5) if f(n) is defined recursively by f(0)=3 and for n=0, 1, 2, ... f(n + 1) = 3f(n) + 7 f(n + 1) = f(n)^2 - 2f(n) - 2