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5. Given the graph of y = f(x), shown below, answer the following, by inspection. (0.5...
5g) Should be f''(x)>0. Thank You! 5. Sketch the graph of the curve which satisfies the...
5g) Should be f''(x)>0. Thank You!
5. Sketch the graph of the curve which satisfies the given information. (7 marks) a) f(-0.5) = 1 b) f(-0.5) = 0, $(4) = 0 c) f'(x) < 0 for x <-2, -2<x<-0.5, x > 4 d) f'(x) > 0 for -0.5<x< 1, 1<x<4 e) f'(6) = 0 f) f'(x) < 0 for x <-2, 1<x<6 9) S(0) > 0 for - 2<x< 1, x>6 h) lim f(x) = 00, lim f(x) =-, lim...
Problem #7: The graph of z = f (x, y) is shown below. In each part,...
Problem #7:
The graph of z = f (x, y)
is shown below. In each part, determine whether the given partial
derivatives are positive, negative, or zero. (Note that the
function is symmetric about 0 in both the x- and
y- directions.)
(a)
fx(−2, 2) and
fxx(−2, 2)
(b)
fy(−2, 2) and
fyy(−2, 2)
(c)
fx(0, −2) and
fxx(0, −2)
(d)
fy(0, −2) and
fyy(0, −2)
(A) negative, positive (B) negative, zero (C)
positive, negative (D) positive, zero (E) zero, ...
Consider the function y=f(x) whose graph is given below. Identify the following: A. domain: B. range:...
Consider the function y=f(x) whose graph is given below. Identify the following: A. domain: B. range: c. lim f(2)= D. lim $(=) E lim f(x) & lim f(x) G. lim f(z)- H. lim f(z) 1. lim f(1) J. Lim f(x)= K vertical asymptote(s): L. horizontal asymptote(s):
1. The graphs of f and g are given below. Use the graphs to answer the...
1. The graphs of f and g are given below. Use the graphs to answer the following questions. y=80) y = f(x) 1 की Graph of y = f(x) Graph of y = g(x) a) f(-1)+(-1) b) f(0) + 9(0) c) f(2) + 9(2) d) limg-2-(3) + g(x)) e) lim-1-((x) - 9(x)) f) lim +1+(f() - 9(x)) g) lime-1(f(x) - 9(x)) h) lim2+2x29(2) i) Find the point(s) of discontinuities of f(x). Explain why the function is discontinuous at those points....
Answer both and show work. 1y=fle) L-5. Given the graph of the function f(x) shown to...
Answer both and show work.
1y=fle) L-5. Given the graph of the function f(x) shown to the right-the same graph is - used for L-2. Identify any points where f(2) is not con- tinuous and explain why using precise mathematical statements in relation to how the definition of continuity is not sat- isfied. You may refer to work in L-2 rather than repeat it. L-3. Given the function g(2) defined piecewise below, determine each of the following values, showing clearly...
Problem #7: The graph of z =f(x,y) is shown below. In each part, determine whether the given part...
Problem #7: The graph of z =f(x,y) is shown below. In each part, determine whether the given partial derivatives are positive, negative, or zero. (Note that the function is symmetric about 0 in both the x- and y- directions.) 15 10 (a) f(-2,-2) and f.-2,-2) (b) f(-2,-2) and yy(-2,-2) (c) fr(2,0) and f(2,0) (d) f/2.0) and fy(2.0) (A) positive, positive (B) negative, negative (C) zero, positive (D) zero, zero (E) negative, positive (F) zero, negative (G) positive, zero (H) positive,...
The graph of z = f (x, y) is shown below. In each part, determine whether the given partial derivatives are positive, negative, or zero. (Note that the function is symmetric about 0 in both the x- and y- directions.)
Problem #7:The graph of z = f (x, y) is shown below. In each part, determine whether the given partial derivatives are positive, negative, or zero. (Note that the function is symmetric about 0 in both the x- and y- directions.)(a) fx(2, 2) and fxx(2, 2)(b) fy(2, 2) and fyy(2, 2)(c) fx(−2, 0) and fxx(−2, 0)(d) fy(−2, 0) and fyy(−2, 0)(A) zero, positive (B) negative, negative (C) negative, zero (D) zero, negative (E) positive, negative (F) zero, zero (G) positive, positive (H) positive, zero (I) negative, positive Problem...
I rate quickly The black curve, shown below, is the graph of the function y =...
I
rate quickly
The black curve, shown below, is the graph of the function y = f(x). Which of the following describes the slope of the blue line? f(x) 5 4 3 ws 2. х 3 6 12 15 18 o a) f(15) - f(3) 12 b) f(9- h) – f(h) lim h0 9 Oc) f(9- h) - f(9) lim h0 9 d) f(9+h) + f(-9) lim h0 h
(1 point) Shown below is the graph of y- f'(x), NOT the graph of y-f(x). (Click on the picture fo...
(1 point) Shown below is the graph of y- f'(x), NOT the graph of y-f(x). (Click on the picture for a better view.) From the information in this graph we can conclude that a good approximation to f(-5.04)- f(-5) is 0.08 Shown below is the graph of a different function, y - g(x). (Click on the picture for a better view.) Indicate the labeled point at which g(x) changes sign: a g'(x) changes sign: d g"(x) changes sign: c
(1...
The graph of y = f(x) is shown to the right. Identify the intervals on which...
The graph of y = f(x) is shown to the right. Identify the intervals on which f'(x) > 0. a b d fah IT с Which of the following shows every interval on which f'(x) > 0? Choose the correct answer below. O A. (ac), (d.f) O C. (5.c), (e,f), (g,h) O B. (a.c), (e,f), (g,h) OD. (5.c), (d,f), (g,h)
5g) Should be f''(x)>0. Thank You!
5. Sketch the graph of the curve which satisfies the given information. (7 marks) a) f(-0.5) = 1 b) f(-0.5) = 0, $(4) = 0 c) f'(x) < 0 for x <-2, -2<x<-0.5, x > 4 d) f'(x) > 0 for -0.5<x< 1, 1<x<4 e) f'(6) = 0 f) f'(x) < 0 for x <-2, 1<x<6 9) S(0) > 0 for - 2<x< 1, x>6 h) lim f(x) = 00, lim f(x) =-, lim...
Problem #7:
The graph of z = f (x, y)
is shown below. In each part, determine whether the given partial
derivatives are positive, negative, or zero. (Note that the
function is symmetric about 0 in both the x- and
y- directions.)
(a)
fx(−2, 2) and
fxx(−2, 2)
(b)
fy(−2, 2) and
fyy(−2, 2)
(c)
fx(0, −2) and
fxx(0, −2)
(d)
fy(0, −2) and
fyy(0, −2)
(A) negative, positive (B) negative, zero (C)
positive, negative (D) positive, zero (E) zero, ...
Consider the function y=f(x) whose graph is given below. Identify the following: A. domain: B. range: c. lim f(2)= D. lim $(=) E lim f(x) & lim f(x) G. lim f(z)- H. lim f(z) 1. lim f(1) J. Lim f(x)= K vertical asymptote(s): L. horizontal asymptote(s):
1. The graphs of f and g are given below. Use the graphs to answer the following questions. y=80) y = f(x) 1 की Graph of y = f(x) Graph of y = g(x) a) f(-1)+(-1) b) f(0) + 9(0) c) f(2) + 9(2) d) limg-2-(3) + g(x)) e) lim-1-((x) - 9(x)) f) lim +1+(f() - 9(x)) g) lime-1(f(x) - 9(x)) h) lim2+2x29(2) i) Find the point(s) of discontinuities of f(x). Explain why the function is discontinuous at those points....
Answer both and show work.
1y=fle) L-5. Given the graph of the function f(x) shown to the right-the same graph is - used for L-2. Identify any points where f(2) is not con- tinuous and explain why using precise mathematical statements in relation to how the definition of continuity is not sat- isfied. You may refer to work in L-2 rather than repeat it. L-3. Given the function g(2) defined piecewise below, determine each of the following values, showing clearly...
Problem #7: The graph of z =f(x,y) is shown below. In each part, determine whether the given partial derivatives are positive, negative, or zero. (Note that the function is symmetric about 0 in both the x- and y- directions.) 15 10 (a) f(-2,-2) and f.-2,-2) (b) f(-2,-2) and yy(-2,-2) (c) fr(2,0) and f(2,0) (d) f/2.0) and fy(2.0) (A) positive, positive (B) negative, negative (C) zero, positive (D) zero, zero (E) negative, positive (F) zero, negative (G) positive, zero (H) positive,...
I
rate quickly
The black curve, shown below, is the graph of the function y = f(x). Which of the following describes the slope of the blue line? f(x) 5 4 3 ws 2. х 3 6 12 15 18 o a) f(15) - f(3) 12 b) f(9- h) – f(h) lim h0 9 Oc) f(9- h) - f(9) lim h0 9 d) f(9+h) + f(-9) lim h0 h
(1 point) Shown below is the graph of y- f'(x), NOT the graph of y-f(x). (Click on the picture for a better view.) From the information in this graph we can conclude that a good approximation to f(-5.04)- f(-5) is 0.08 Shown below is the graph of a different function, y - g(x). (Click on the picture for a better view.) Indicate the labeled point at which g(x) changes sign: a g'(x) changes sign: d g"(x) changes sign: c
(1...
The graph of y = f(x) is shown to the right. Identify the intervals on which f'(x) > 0. a b d fah IT с Which of the following shows every interval on which f'(x) > 0? Choose the correct answer below. O A. (ac), (d.f) O C. (5.c), (e,f), (g,h) O B. (a.c), (e,f), (g,h) OD. (5.c), (d,f), (g,h)
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