Evaluate the integral.

A. 7 ln  + C
B. 7 sin x + C
C. ln  + C
D.  ln  + C


Answer: D

Mathematics

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Find T, N, and B for the given space curve.r(t) = (cosh t)i   + (sinh t)j  + k 

A. T = -  (tanh t sech t)i  + j  + (sech t)k; N = (-sech t)i  - (tanh t)k
B. T = (tanh t sech t)i  + j  + (sech t)k; N = (sech2 t)i  - (sinh t)k;  
C. T = (tanh t)i  + j  + (sech t)k; N = (sech t)i  - (tanh t)k
D. T = - (tanh t)i  + j  + (sech t)k; N = (-sech t)i  - (sinh t)k  ; 

Mathematics

Provide an appropriate response.The x- and y-intercepts of the graph of y =   are

A. (0, 0), (±1, 0), (0, -3). B. (±1, 0), (0, 3). C. (3, 0). D. (1,0), (0, 3). E. (0, -3).

Mathematics

Use the quotient rule to divide and simplify.

A. 8x5
B. 8x5 
C. x5 
D. x5 

Mathematics

Use scientific notation to calculate the answer to the problem. Write the answer in scientific notation.

A. 17 × 10-3 B. 1.7 × 10-4 C. 1.7 × 10-5 D. 17 × 10-4

Mathematics