Find the indicated sum.-4 + -9 + -14 + -19 + . . . + a50

A. -6318
B. -6450
C. -254
D. -6325


Answer: D

Mathematics

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Find the unit tangent vector T and the principal unit normal vector N. r(t) = (cosh t)i + (sinh t)j + tk 

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

Mathematics

Solve the problem.A mechanism with two length-adjustable links is depicted below. The adjustable lengths are b and c, the length a is fixed, and the point A can only move horizontally. From the law of sines,  Sketch the graph of b as a function of A for  and B = ?/4.

A.

B.

C.

D.

Mathematics

The two triangles below are similar. Find the unknown side lengths.

A. x = 3.5; y = 3.6 B. x = 3.5; y = 3.9 C. x = 2.24; y = 3.6 D. x = 4.0; y = 3.9

Mathematics

Find the derivative.y = x9 

A. 9x8 B. 8x9 C. 8x8 D. 9x9 

Mathematics