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16. Which one is false sum of infinite geometric series? A sum _(k=1)^infty 5((1)/(3))^k-1=(15)/(2) c sum _(i=1)^infty 5^3-k=(125)/(4) B. sum _(k=1)^infty 2^1-k=3 D. sum _(k=1)^infty ((3)/(4))^k+3((2)/(3))^k-1=(81)/(128) 17.Consider the given recurring decimal of the sum of the infinite converting geometric series then which one is false? A 0.dot (5)dot (6)=(56)/(99) B 0.dot (4)=(4)/(9) C 0.dot (4)dot (7)=(47)/(99) D. None 18. Which one of the following pair of numbers rate of change is correct? A. (0,9) and (9,9) , Rate of change=0 C. (-2,4) and (3,-6) Rate of change=2 B. (4,9) and (5,9) Rate of change=-3 D. (4,7) and (5,6),Rate of change=1 19.Le t f(x)=3x-2 interval [1,5] then average rate of change is equal to A. 6 B C. 4 D. I 20.Le t f(x)=4x^2-1 , at x=2 then instantaneous rate of change is equal to A. 14 B. 15 C. 16 21.Let f(x)=x^2 at x=-1 , then the slope (gradients) of the tangent line of the function is equal to A. -1 C. 2 D. -2 B. 1 22.Let f(x)=(1)/(x) at point (2,(1)/(2)) then the slope of tangent line to the graph of the function is equal to A. (1)/(4) B. (1)/(3) C. (-1)/(3) D. (-1)/(4) 23.Le t y=(9)/(x^3) , then (dy)/(dx)vert _(x=-1) and (dy)/(dx)vert _(x=3) is equal D. -27 and - A. 27 and (1)/(3) B. -37 and (-1)/(3) C. 17 and (1)/(3) 24.Le t f(x)=(2x+1)^6 then f'(x) is equal to C 12(2x+1)^3 D. 12(2x+ A. 12(2x+1)^6 B 12(2x+1)^4 25.Le t f(x)=sqrt (x^2+2x-1) then f'(x) is equal to C (2x+2)/(sqrt (x^2)+2x-1) D. (2x)/(sqrt (x^2)+2x) A. (2x+2)/(2sqrt (x^2)+2x-1) B. (1)/(2sqrt (x^2)+2x-1)

Pergunta

16. Which one is false sum of infinite geometric series? A sum _(k=1)^infty 5((1)/(3))^k-1=(15)/(2) c sum _(i=1)^infty 5^3-k=(125)/(4) B. sum _(k=1)^infty 2^1-k=3 D. sum _(k=1)^infty ((3)/(4))^k+3((2)/(3))^k-1=(81)/(128) 17.Consider the given recurring decimal of the sum of the infinite converting geometric series then which one is false? A 0.dot (5)dot (6)=(56)/(99) B 0.dot (4)=(4)/(9) C 0.dot (4)dot (7)=(47)/(99) D. None 18. Which one of the following pair of numbers rate of change is correct? A. (0,9) and (9,9) , Rate of change=0 C. (-2,4) and (3,-6) Rate of change=2 B. (4,9) and (5,9) Rate of change=-3 D. (4,7) and (5,6),Rate of change=1 19.Le t f(x)=3x-2 interval [1,5] then average rate of change is equal to A. 6 B C. 4 D. I 20.Le t f(x)=4x^2-1 , at x=2 then instantaneous rate of change is equal to A. 14 B. 15 C. 16 21.Let f(x)=x^2 at x=-1 , then the slope (gradients) of the tangent line of the function is equal to A. -1 C. 2 D. -2 B. 1 22.Let f(x)=(1)/(x) at point (2,(1)/(2)) then the slope of tangent line to the graph of the function is equal to A. (1)/(4) B. (1)/(3) C. (-1)/(3) D. (-1)/(4) 23.Le t y=(9)/(x^3) , then (dy)/(dx)vert _(x=-1) and (dy)/(dx)vert _(x=3) is equal D. -27 and - A. 27 and (1)/(3) B. -37 and (-1)/(3) C. 17 and (1)/(3) 24.Le t f(x)=(2x+1)^6 then f'(x) is equal to C 12(2x+1)^3 D. 12(2x+ A. 12(2x+1)^6 B 12(2x+1)^4 25.Le t f(x)=sqrt (x^2+2x-1) then f'(x) is equal to C (2x+2)/(sqrt (x^2)+2x-1) D. (2x)/(sqrt (x^2)+2x) A. (2x+2)/(2sqrt (x^2)+2x-1) B. (1)/(2sqrt (x^2)+2x-1)

16. Which one is false sum of infinite geometric series? A sum _(k=1)^infty 5((1)/(3))^k-1=(15)/(2) c sum _(i=1)^infty 5^3-k=(125)/(4) B. sum _(k=1)^infty 2^1-k=3 D. sum _(k=1)^infty ((3)/(4))^k+3((2)/(3))^k-1=(81)/(128) 17.Consider the given recurring decimal of the sum of the infinite converting geometric series then which one is false? A 0.dot (5)dot (6)=(56)/(99) B 0.dot (4)=(4)/(9) C 0.dot (4)dot (7)=(47)/(99) D. None 18. Which one of the following pair of numbers rate of change is correct? A. (0,9) and (9,9) , Rate of change=0 C. (-2,4) and (3,-6) Rate of change=2 B. (4,9) and (5,9) Rate of change=-3 D. (4,7) and (5,6),Rate of change=1 19.Le t f(x)=3x-2 interval [1,5] then average rate of change is equal to A. 6 B C. 4 D. I 20.Le t f(x)=4x^2-1 , at x=2 then instantaneous rate of change is equal to A. 14 B. 15 C. 16 21.Let f(x)=x^2 at x=-1 , then the slope (gradients) of the tangent line of the function is equal to A. -1 C. 2 D. -2 B. 1 22.Let f(x)=(1)/(x) at point (2,(1)/(2)) then the slope of tangent line to the graph of the function is equal to A. (1)/(4) B. (1)/(3) C. (-1)/(3) D. (-1)/(4) 23.Le t y=(9)/(x^3) , then (dy)/(dx)vert _(x=-1) and (dy)/(dx)vert _(x=3) is equal D. -27 and - A. 27 and (1)/(3) B. -37 and (-1)/(3) C. 17 and (1)/(3) 24.Le t f(x)=(2x+1)^6 then f'(x) is equal to C 12(2x+1)^3 D. 12(2x+ A. 12(2x+1)^6 B 12(2x+1)^4 25.Le t f(x)=sqrt (x^2+2x-1) then f'(x) is equal to C (2x+2)/(sqrt (x^2)+2x-1) D. (2x)/(sqrt (x^2)+2x) A. (2x+2)/(2sqrt (x^2)+2x-1) B. (1)/(2sqrt (x^2)+2x-1)

Solução

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ElaineMestre · Tutor por 5 anos

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16. The false sum of an infinite geometric series is:<br />C $\sum _{i=1}^{\infty }5^{3-k}=\frac {125}{4}$<br /><br />17. The false statement about the recurring decimal is:<br />A $0.\dot {5}\dot {6}=\frac {56}{99}$<br /><br />18. The correct rate of change is:<br />D. $(4,7)$ and $(5,6),Rate\quad of\quad change=1$<br /><br />19. The average rate of change for \( f(x)=3x-2 \) on the interval \([1,5]\) is:<br />C. 4<br /><br />20. The instantaneous rate of change for \( f(x)=4x^{2}-1 \) at \( x=2 \) is:<br />B. 15<br /><br />21. The slope of the tangent line for \( f(x)=x^{2} \) at \( x=-1 \) is:<br />D. \(-2\)<br /><br />22. The slope of the tangent line to the graph of \( f(x)=\frac {1}{x} \) at point \( (2,\frac {1}{2}) \) is:<br />D. \(\frac {-1}{4}\)<br /><br />23. For \( y=\frac {9}{x^{3}} \), \(\frac {dy}{dx}\vert _{x=-1}\) and \(\frac {dy}{dx}\vert _{x=3}\) are:<br />A. 27 and \(\frac {1}{3}\)<br /><br />24. The derivative \( f'(x) \) for \( f(x)=(2x+1)^{6} \) is:<br />B. \(12(2x+1)^{5}\)<br /><br />25. The derivative \( f'(x) \) for \( f(x)=\sqrt {x^{2}+2x-1} \) is:<br />A. \(\frac {2x+2}{2\sqrt {x^{2}+2x-1}}\)
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