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)
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 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...
5 Consider the functions f and g whose graphs are given below. z y = f(x) -4 A3 -2 -1 1 2 3 4 y = 9(2) -4 -3 -2 -1 1 2 3 4 1 + f. Find (3) a. Find f'(-3). b. Find f'(1). g. Suppose p(x) = f(x)g(2). Find p'(-3). c. Find f'(3). h. Suppose q(z) = 5(). Find g(3). d. Find t'(-3). g(2) e. Find g'(1). i. Suppose r(x) = x2 f(x). Find r'(1).
Suppose the derivative off exists, and assume that f(4) = 4 and f'(4)=5. Let g(x) = x2 -f(x) and h(x) = f(x) X-5 Complete parts (a) and (b) below. a. Find an equation of the line tangent to y = g(x) at x = 4. Choose the correct answer below. O A. y -64 = 112(x-4) B. y -4 = 5(x-4) OC. y-64 = 40(x-4) OD. y - 4 = 112(x-4) b. Find an equation of the line tangent to...
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
0.09/1 points Previous Answers SCalcET8 5.3.002. Let g(x)-f(t) dt, where f is the function whose graph is shown (a) Evaluate g(x) for x 0, 1, 2, 3, 4, 5, and 6 g(0)0 9(2)-8 g(3)-( 20 9(4)- 9(5) 9(6) ) g(6)- (b) Estimate g(7). (Use the midpoint to get the most precise estimate.) 9(7)- (c) Where does g have a maximum and a minimum value? minimum x= maximum x= (d) Sketch a rough graph of g. 7 83 gtx ry again....
4. If \,f(x)dx = 10 and 1, g(x)dx = 6, then S,[2f(x) – 3g(x)]dx is 31
a. 8.2 Suppose that S* f(x) dx = 6, 5+ g(x) dx = 4, and Sf(x) dx = 2. Evaluate the following integrals: - Sa 2f(x) dx (2 Marks) S*(3f(x) - 29(x)) dx (2 Marks) S* f(x)g(x) dx (2 Marks) SIC) dx (2 Marks) C. d. g(x) Sub Total 20 Marksl
7. Suppose We have three functions f(x), g(x), and h(x), such that f(-2) = 7, 9(-2) = 3, h(-2) = 10, f'(-2) = -14, 5'(-2) = 0, and '(-2) = 100. What is the derivative of In [Chooker)] at x = -2? a)-16 b) -0.22 c) -16.5 d) -33.5 e) -3/4 8. What is the slope of the tangent line (dy/dx) at the point (1,0) to the curve given by the equation (78 + y) = (1 - 4y)? a)...