What is the average value of the function f(x) = lnm on [1,4]? O A. 0.3034...
Find the average value of the function f over the given region. f(x,y) = 8x + 10y over the triangle with vertices (0,0). (10,0), and (0.6). O A. 30 OB. 80 3 OC. 140 3 OD. 86 3
Find the following. 5/2 3/2 f'(4) if f(x) = 9x -7x O A. 159 OB. 96 OC. 6 OD. 8 Find the equation of the tangent line to the curve when x has the given value. f(x) = Tx 5 ; X= 4 4x O A. y=-25 8 5 OB. y = 13x - 16 O c. y= - 39x - 80 х OD. y 1 + — 5 20
Is fa probability density function? Explain. f(x) = 2 + 2x if - 1 sxs0 0 otherwise Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. No, since I w f(x) dx = 00 OB 00 Yes, since s flex) dx = 1 00 Oc. Yes, since f(x) 2 0 for all xEV-00, 0o) and f(x) dx = 1. 00 OD. No, since f(x) <0 for some xe- 00, ).
QUESTION 23 The function f(x,y) = x3 – x- y2 + 2y has O A 1 saddle pt. and 1 local min. OB. 1 local max. 1 local min. OC. 2 saddle pt. OD. 1 saddle pt. and 1 local max. O E. 2 local min.
QUESTION 16 The function f(x,y) = x -x- y2 + 2y has O A. 1 local max. 1 local min. OB. 1 saddle pt. and 1 local min. O C2 local min. OD. 1 saddle pt. and 1 local max. O E 2 saddle pt.
The DERIVATIVE F"(x) of a function f(x) is given by X f'(x)= 1 + x + 2x3 What is the x-coordinate of the inflection point of the graph of f(x)? O A. X = 0.393 OB. X= -1.607 O c. X=0 OD. The graph off has no inflection point. O E. X = 0.807
Find sin , cos , and tan - O A. sino= _ . cosO=- , tan 0= - 13 O B. sino= - ], COSO = 3, tan o=1/3 o c. sino=- , coso - ., tan og OD. sino - 13. COSO = 1, tan 0=13 Find the exact value of sin 510º. O B. v O A. OC. O D. Find the exact value of tan 111. OA OB. Z OD. 13 OC. 2 Suppose that there is...
Find the vertex of the graph of the quadratic function. f(x) = x²-14X-7 O A. (7-56) OB. (-14, - 7) Oc. (7. - 154) OD. (-7,42)
Question 13 (1 point) Given x + 4 a factor of f(x) = x3 - 12x +16, calculate the full factorization of f(x). OA) f(x) = (x + 22(x + 4) B) f(x) = (x-2)2(x + 4) OC) f(x) = (x + 4)(x + 2)(x - 2) OD) f(x) = (x - 22(x - 4) Question 14 (1 point) For the polynomial, one zero is given. Find all others. (Hint: You may need to use the quadratic formula.) P(x) =...
Find the domain of the function 4 f(x) = X-7 3 x+5 What is the domain off? O A. (-0,7)U(7,00) OB. (-00,00) OC. (-00,-5)U{ - 5,7)U17.00) OD. (-00,0)(0.00)