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2 1 3 4 1 -1 2 5. Suppose A= b and Adet(A) = 5. What are the values of the C a ef g h) following determinants? [3 marks] 4 3 1 2 -1 2 1 a. 2e 2f 2g 2h d b c 4 3 2 1 3 2 -1 b. c+2x d+3x b-x a+x h f 3 4 5 -1 2 3 -2 C. d a+3b C g h e+3f f Page 5 SPRING 2019 ASSIGNMENT FILE...
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) =
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))*
8.2 Suppose that ,* f(x) dx = 6, 8* g(x) dx = 4, and S f(x) dx = 2. Evaluate the following integrals: a. -S2f(x) dx (2 Marks) b. Si(3f(x) – 2g(x)) dx (2 Marks) c. $*f(x)g(x) dx (2 Marks) d. S@dx (2 Marks) [Sub Total 20 Marks]
Suppose that f(5) = 1, f '(5) = 8, g(5) = −9, and g'(5) = 2. Suppose that f(5)-1, f(5) 8, g(5) =-9, and g'(5) = 2. Find the following values (a) (fg)'S) (c) (g/0(5) Suppose that f(5)-1, f(5) 8, g(5) =-9, and g'(5) = 2. Find the following values (a) (fg)'S) (c) (g/0(5)
(2) Find the values of land g with l> 0 and g > 0 that maximize the utility function U = f(l,g) = 844/591/5 subject to the constraint 10l + 8g = 40. (2) Suppose So f(x) dx = 7, Sº f(x) dx = -3, and Søg(x) dx = 2. Evaluate the following integrals: (a) 195f (x) dx (b) Sš (–39(2)) da (c) S (3f(x) — 9(z)) da (d) S8 (f(x) + 2g(x)) dx
Use for #4, 5. Let f(x) = 3* and g(x)= (1/2)". Find each function value. Circle the correct choice. 4. Find f(-2) a. 9 b. -9 c. = ICE d. - 5. Find g(-3) a. - b. 8 d. d. - 8 ( EX
Need some explanation on these please and thank you so much! Suppose f(x) is an invertible differentiable function and f(4) 5, f(5) 3, f'(4) 3, f' (3)-4 Find (l) (5). b) -3 d) 3 e) 9-7 4 g none of the above The graph of f"(a) (the second derivative of f) is shown below. Where is fCx) concave up? -4-3-223 4 6 a) (-0o,-6) u (5,7) -3, 6) D(-6,5) U (7,00) g)none of these. Suppose f(x) is an invertible differentiable...
3. (10 points) Given that f(1) = 5, f'(1) = 4, 9(1) = 2, and g'(1) = 3, find alat (f(z)g(x)) = and d ( f(x) dx
Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. 21) y=3f(x - 2) - 5 A) (4, -3) B) (0, -3) (7) D) (4,7)