Problem 7. (10 pts) The graph of f'(x) is given below. If f(0) = 5, find...
Given the graph of y=f(x) below, find the value f(1) Given the graph of y = f(x) below, find the value f(1). Сл N 111 -6 -5 -4 -3 -2 -1 2 3 4 5 6 2. 1 1 w -41 - -5 1
9. (5 pts) A graph of f(x) is below. No formula is given. On the second set of axes, draw the graph of the function g(x) = f(x+2)-1. foxy 3 2 -1 1 12 2 3 4 56 1 2 3 56 -6-5 -4 -3 -2 -1 0 -1 -6 -5 4 3 2 -1 0 -1 -2 2 O -3 -30 4 -4 -5 -6 -5 -6
Given the graph of y = f() below, find the value f(-5). 5 . 311 IPOWA -6-5-4-3 1 2 3 4 5 6 7 8
6. Find the exact value of ,* f'(x) dx, if the graph of f(x) is given below. 6 5 3 3 2 1 0 2 3 4 5 6 7 8 9
The graph of f(x) is given below: 11 godina osno obs 11-10-9-8 -7 -6 -5 4 -3 -2 - 1 2 3 4 5 6 7 8 9 10 11 12 a-Draw a tangent to the given figure for x=9 and explain in a few words what this line tells us about the curve of the function f(x). b. In the interpretation of f19), it is said that the result oives an approximation of the function asx is increased by...
For problems 8-12, use the graph of y=f(x) and the table for g(x) and g'(x) to compute the indicated derivatives. Write your final answer and only your final answer) in the space provided. Answers should be exact and fractions should be used where appropriate (do not use numbers in decimal form). 1 -4 -2 g(x) 2 5/2 3 14/5 &'(x) 7/5 1/2 1/4 -1/4 0 2 قيا 2 - 1 -2 - 1/2 4 0 5 6 8 1 6...
35. f(z) (3z+5)5 f(x) = SK-53 x-2 x2 -2x 37. f*)-+1 In problems 54-61, find dy/dx. 54. xy'- xy+10 0 In problems 62-63, find the equation of the tangent line to the given graph at the given point. 62. yxy - 6 0 at the point (1,2) 63. x+xy - vy-3 0 at the point (1,4) In problems 64-78, find y for the equation. 35. f(z) (3z+5)5 f(x) = SK-53 x-2 x2 -2x 37. f*)-+1 In problems 54-61, find dy/dx....
3x +6, if x so (8 pts) 5. Sketch the graph of f(x)= 1 *+3, ifr>0 (9 pts) 6. The number of grams Q of a substance after 7 hours is given by Q=Qe6291How long will it take for 100 grams of the substance to decay to 60 grams? Round your answer to 3 decimal places. [1 27 (9 pts) 7. Find A ', by hand, if A = 1 2 5 -1 1 2
5) The level curves of a function f(x,y) are given in the graph below. 2 X -1 -2 i Estimate f(3,3) ii Estimate Vf(-3, 1) Let u be a unit vector parallel to (1,4). Calculate Daf using your answer from i iv) Find the location of all critical points of the function f, on the set -5 <r< of these is a saddle point) iii) Let D be the domain bounded between the curves y = x and y= 2...
5. Given the graph of y = f(x), shown below, answer the following, by inspection. (0.5 mark each, 4.5 marks total). 2 2 -3 -6 -7 a) f(0) = b) f(2)= c) lim f(x) = d) lim f(x) = e) lim, f(x) = d) lim f(x) = g) lim f(x) = h) lim. f(x) = i) lim f(x) = x 2 3-2-