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A A A A A A A A A Precision ? ( ? AAAAAAAAA 13. For time \( t \geq 1 \), the position of a particle moving along the \( x \)-axis is given by ? \( f(t)=\sqrt{t}-2 \). (At what time \( t \) in the interval \( 1 \leq t \leq 16 \) is the instantaneous velocity of the particle equal to thedverago-velocity of the particle over the interval \( 1 \leq t \leq 16 \) ? (A) 1 (B) \( \frac{121}{25} \) (C) \( \frac{25}{4} \) (D) 25 14. If \( f \) is a differentiable function and \( y=\sin \left(f\left(x^{2}\right)\right) \), what is \( \frac{d y}{d x} \) when \( x=3 \) ? (A) \( \cos \left(f^{\prime}(9)\right) \) (B) \( 6 \cos (f(9)) \) (C) \( f^{\prime}(9) \cos (f(9)) \) (D) \( 6 f^{\prime}(9) \cos (f(9)) \)

          A A A A A A A A A
Precision
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13. For time \( t \geq 1 \), the position of a particle moving along the \( x \)-axis is given by ? \( f(t)=\sqrt{t}-2 \). (At what time \( t \) in the interval \( 1 \leq t \leq 16 \) is the instantaneous velocity of the particle equal to thedverago-velocity of the particle over the interval \( 1 \leq t \leq 16 \) ?
(A) 1
(B) \( \frac{121}{25} \)
(C) \( \frac{25}{4} \)
(D) 25
14. If \( f \) is a differentiable function and \( y=\sin \left(f\left(x^{2}\right)\right) \), what is \( \frac{d y}{d x} \) when \( x=3 \) ?
(A) \( \cos \left(f^{\prime}(9)\right) \)
(B) \( 6 \cos (f(9)) \)
(C) \( f^{\prime}(9) \cos (f(9)) \)
(D) \( 6 f^{\prime}(9) \cos (f(9)) \)
        
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A A A A A A A A A
Precision
?

(
?

AAAAAAAAA
13. For time t ≥ 1, the position of a particle moving along the x-axis is given by ? f(t)=√(t)-2. (At what time t in the interval 1 ≤ t ≤ 16 is the instantaneous velocity of the particle equal to thedverago-velocity of the particle over the interval 1 ≤ t ≤ 16 ?
(A) 1
(B) (121)/(25)
(C) (25)/(4)
(D) 25
14. If f is a differentiable function and y=sin(f(x^2)), what is (d y)/(d x) when x=3 ?
(A) cos(f^'(9))
(B) 6 cos (f(9))
(C) f^'(9) cos (f(9))
(D) 6 f^'(9) cos (f(9))

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Thomas Calculus
Thomas Calculus
George B. Thomas, Jr. 13th Edition
Chapter 5
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A A A A A A A A A Precision ◯ ( □ AAAAAAAAA 13. For time \( t \geq 1 \), the position of a particle moving along the \( x \)-axis is given by □ \( f(t)=\sqrt{t}-2 \). (At what time \( t \) in the interval \( 1 \leq t \leq 16 \) is the instantaneous velocity of the particle equal to thedverago-velocity of the particle over the interval \( 1 \leq t \leq 16 \) ? (A) 1 (B) \( \frac{121}{25} \) (C) \( \frac{25}{4} \) (D) 25 14. If \( f \) is a differentiable function and \( y=\sin \left(f\left(x^{2}\right)\right) \), what is \( \frac{d y}{d x} \) when \( x=3 \) ? (A) \( \cos \left(f^{\prime}(9)\right) \) (B) \( 6 \cos (f(9)) \) (C) \( f^{\prime}(9) \cos (f(9)) \) (D) \( 6 f^{\prime}(9) \cos (f(9)) \)
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