taking common and from expression
we know since there is even power
Domain is
12. Suppose f(x) is defined as shown below +3 if s 2 f(x) = 3x if x <2 Determine whether or not that f is continuous at 2. 13. Evaluate the following limit.
Use L'Hospital's rule to find the limit lim(3 – x?) x->0
(6) Use Matrices to find the solution set of xty-22=3 34-y +z = 5 3x + 34-6=9
Find, with justification, what the absolute maximum value of f(x) = x3 – 3x on the set of real numbers x satisfying x4 + 36 < 13x2. If time does not permit you to finish this question during the exam, please submit what you have and briefly explain what you would have tried.
3x+2 f(x) =( :) (x-> +1) Your problem: using the rules of differentiation, find the derivatives of the collowing: f)-(3442) fool(3x+2) (-5x + x + 1) - 2 1 =(-15x 10x" + (-2x = 2) =>15x410x5 - 2x = = 3x -3x- 27 (X)(3+0)-(3x+2)(1) x² g'=(x) =F12x15x4_2 = -5x6 xb * please check my work, if wrong, please write out correct solation! Chain Rule: When functions are composed, to take the derivative involves both the outside function and the inside...
How : For what values of a, b is gu)-ax+bx, x 23a-b, ocX<2 X72 3X-5 continhows at every X How Apply tépetal Rule liult x-2 X2 x?_u How : For what values of a, b is gu)-ax+bx, x 23a-b, ocX<2 X72 3X-5 continhows at every X How Use the Implicit differentiation to find dy
FIND THE LIMIT OF THE FUNCTION 1 1 lim x 3 X-3X-3 1 A) = 0 B) = c) II 3 9 D) = 0 1 E) = > =; 6) H)= Select one: a. A b.C C. G d. E e. H f. F g. D
7. Solve the inequality: -3x+5> 5. Solve the equation 3. Solve the formula H_29 3b 34 for (10) 4. a). Solve the equations. -6(x-1)-13-3(x-2) b) 43 6
Evaluate the following integrals. Integral x*ln(x^2+3x+2)dx 2. (8 points) Evaluate the following integrals. Answers without supporting work will re- ceive no credit. (a) (5 points) | < ln(x2 + 3x + 2) dx
33. Let S(x)=x?>(5 - 7x). Find the interval over which f(x) is increasing. 34. Let (x)=x*(8-3x). Find the interval over which f(x) is decreasing. 35. Let S(x)=x*-4x' +4x?. Find the intervals of increase and decrease. 36. The function f(x) = x* - 10x has a relative minimum at x = 37. The function f(x)=x*- 2x® has a relative maximum at x = 38. When a circular plate of metal is heated in an oven, its radius increases at the rate...