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Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give...
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x)...
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = In(x), (1,91 Yes, it does not matter if is continuous or differentiable, every function satisfies the Mean Value Theorem. Yes, f is continuous on [1, 9] and differentiable on (1,9). No, f is not continuous on 1, 9). No, f is continuous on [1, 9] but not differentiable on (1,9). There is not enough information to verify if this function satisfies the Mean...
pls show steps on how to, thanks! Does the function satisfy the hypotheses of the mean...
pls show steps on how to, thanks!
Does the function satisfy the hypotheses of the mean value theorem on the given interval? Give reasons for your answer. X - X f(x) = - 2 5x51 1<x54 2x2 - 3x + 1 Choose the correct answer. O A. No, f(x) is continuous at every point in (-2,4] but is not differentiable at every point in (-2,4), O B. No, f(x) is differentiable at every point in (-2,4) but is not continuous...
part a and b a. Determine whether the Mean Value Theorem applies to the function f(x)...
part a and b
a. Determine whether the Mean Value Theorem applies to the function f(x) x+ on the interval(-4,-3) b. If so, find or approximate the point(s) that are guaranteed to exist by the Mean Value Theorem a. Choose the correct answer below O A. No, because the function is not continuous on the interval (-4,-3), and is not differentiable on the interval (-4,-3). OB. No, because the function is differentiable on the interval (-4,-3), but is not continuous...
a. Determine whether the Mean Value Theorem applies to the function f(x) = x + on...
a. Determine whether the Mean Value Theorem applies to the function f(x) = x + on the interval [3,5). b. If so, find or approximate the point(s) that are guaranteed to exist by the Mean Value Theorem. a. Choose the correct answer below. O A. No, because the function is continuous on the interval [3,5), but is not differentiable on the interval (3,5). OB. No, because the function is differentiable on the interval (3,5), but is not continuous on the...
Determine whether the Mean Value Theorem applies to the function fx) -2-x2 on the interval [-2.1 ...
Determine whether the Mean Value Theorem applies to the function fx) -2-x2 on the interval [-2.1 . If so, find the point(s) that are guaranteed to exist by the Mean Value Theorem. a. Choose the correct answer below O A. No. because the function is differentiable on the interval (-2.1), but is not continuous on the interval [-2.1 O C. No. because the function is not continuous on the interval [ -2.1). and is not differentiable on the interval (-2.1)...
a. Determine whether the Mean Value Theorem applies to the function f(x) = x + on...
a. Determine whether the Mean Value Theorem applies to the function f(x) = x + on the interval [3,6]. b. If so, find or approximate the point(s) that are guaranteed to exist by the Mean Value Theorem. a. Choose the correct answer below. O O A. No, because the function is not continuous on the interval [3,6], and is not differentiable on the interval (3,6). B. No, because the function is differentiable on the interval (3,6), but is not continuous...
A. Determine whether the Mean Value Theorem applies to the function fx)xon the interval [3,7 b. I...
a. Determine whether the Mean Value Theorem applies to the function fx)xon the interval [3,7 b. If so, find or approximate the point(s) that are guaranteed to exist by the Mean Value Theorem. c. Make a sketch of the function and the line that passes through (a,f(a) and (b.f(b). Mark the points P (if they exist) at which the slope of the function equali of the secant line. Then sketch the tangent line at P A. No, because the tunction...
7. a. Determine whether the Mean Value Theorem applies to the function f(x) = 7 -...
7. a. Determine whether the Mean Value Theorem applies to the function f(x) = 7 - x? on the interval (-1,2) b. If so, find the point(s) that are guaranteed to exist by the Mean Value Theorem. a. Choose the correct answer below. O A. Yes, because the function is continuous on the interval [-1.2] and differentiable on the interval (-1.2). O B. No, because the function is differentiable on the interval (-1.2), but is not continuous on the interval...
20. The function f(x)=e satisfies the hypotheses of the Mean Value Theorem on the interval [0,...
20. The function f(x)=e satisfies the hypotheses of the Mean Value Theorem on the interval [0, 16] Find all values of c that satisfy the conclusion of the theorem. a. - Sin 2e b. Sin c. -Sin d. Sin 2e2
Let us verify the Mean Value Theorem with the function f(x) = VE on the interval...
Let us verify the Mean Value Theorem with the function f(x) = VE on the interval (2,8). Solution. We have f is continuous on (2,8) f is differentiable on (2,8). f'(o) – f(8) – f(2) 8 - 2 We have f'(x) = The only value that satisfies the Mean Value Theorem is
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = In(x), (1,91 Yes, it does not matter if is continuous or differentiable, every function satisfies the Mean Value Theorem. Yes, f is continuous on [1, 9] and differentiable on (1,9). No, f is not continuous on 1, 9). No, f is continuous on [1, 9] but not differentiable on (1,9). There is not enough information to verify if this function satisfies the Mean...
pls show steps on how to, thanks!
Does the function satisfy the hypotheses of the mean value theorem on the given interval? Give reasons for your answer. X - X f(x) = - 2 5x51 1<x54 2x2 - 3x + 1 Choose the correct answer. O A. No, f(x) is continuous at every point in (-2,4] but is not differentiable at every point in (-2,4), O B. No, f(x) is differentiable at every point in (-2,4) but is not continuous...
part a and b
a. Determine whether the Mean Value Theorem applies to the function f(x) x+ on the interval(-4,-3) b. If so, find or approximate the point(s) that are guaranteed to exist by the Mean Value Theorem a. Choose the correct answer below O A. No, because the function is not continuous on the interval (-4,-3), and is not differentiable on the interval (-4,-3). OB. No, because the function is differentiable on the interval (-4,-3), but is not continuous...
a. Determine whether the Mean Value Theorem applies to the function f(x) = x + on the interval [3,5). b. If so, find or approximate the point(s) that are guaranteed to exist by the Mean Value Theorem. a. Choose the correct answer below. O A. No, because the function is continuous on the interval [3,5), but is not differentiable on the interval (3,5). OB. No, because the function is differentiable on the interval (3,5), but is not continuous on the...
Determine whether the Mean Value Theorem applies to the function fx) -2-x2 on the interval [-2.1 . If so, find the point(s) that are guaranteed to exist by the Mean Value Theorem. a. Choose the correct answer below O A. No. because the function is differentiable on the interval (-2.1), but is not continuous on the interval [-2.1 O C. No. because the function is not continuous on the interval [ -2.1). and is not differentiable on the interval (-2.1)...
a. Determine whether the Mean Value Theorem applies to the function f(x) = x + on the interval [3,6]. b. If so, find or approximate the point(s) that are guaranteed to exist by the Mean Value Theorem. a. Choose the correct answer below. O O A. No, because the function is not continuous on the interval [3,6], and is not differentiable on the interval (3,6). B. No, because the function is differentiable on the interval (3,6), but is not continuous...
a. Determine whether the Mean Value Theorem applies to the function fx)xon the interval [3,7 b. If so, find or approximate the point(s) that are guaranteed to exist by the Mean Value Theorem. c. Make a sketch of the function and the line that passes through (a,f(a) and (b.f(b). Mark the points P (if they exist) at which the slope of the function equali of the secant line. Then sketch the tangent line at P A. No, because the tunction...
7. a. Determine whether the Mean Value Theorem applies to the function f(x) = 7 - x? on the interval (-1,2) b. If so, find the point(s) that are guaranteed to exist by the Mean Value Theorem. a. Choose the correct answer below. O A. Yes, because the function is continuous on the interval [-1.2] and differentiable on the interval (-1.2). O B. No, because the function is differentiable on the interval (-1.2), but is not continuous on the interval...
20. The function f(x)=e satisfies the hypotheses of the Mean Value Theorem on the interval [0, 16] Find all values of c that satisfy the conclusion of the theorem. a. - Sin 2e b. Sin c. -Sin d. Sin 2e2
Let us verify the Mean Value Theorem with the function f(x) = VE on the interval (2,8). Solution. We have f is continuous on (2,8) f is differentiable on (2,8). f'(o) – f(8) – f(2) 8 - 2 We have f'(x) = The only value that satisfies the Mean Value Theorem is
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