Provide an appropriate response.The graph below shows the position s = f(t) of a body moving back and forth on a coordinate line. 
is the body moving away from the origin? Toward the origin? At approximately what times is the (b) velocity equal to zero? (c) Acceleration equal to zero? (d) When is the acceleration positive? Negative?
What will be an ideal response?
(a). Moving towards to origin on (1, 2) and (5.7, 7); moving away from the origin on (0, 1), (2, 5.7), and (7, 10).
(b). Velocity is zero at the extrema. These occur at t ? 1 sec and t ? 5.7 sec.
(c). Acceleration is zero at the inflection points. These occur at t ?2.3 sec, t ? 4 sec, t ? 5.1 sec, t ? 7 sec, and t ? 8.5 sec.
(d). Acceleration is positive where f(t) is concave up and negative where it is concave down. Acceleration is positive on (2.3, 4), (5.1, 7), and (8.5, 10). Acceleration is negative on (0, 2.3), (4, 5.1), and (7, 8.5).
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Provide an appropriate response.Determine which technique would be the best initial step to verify each of the four identities below. Each of the identities involves a different technique as the initial step. 
= 
1 - 
= cos2 ? 
= 2 cot ? - 5 csc2 ? + tan2 ? - cot2 ? = sec2 ?Which of the following is not one of the four techniques required? I. Rewrite the
expression in terms of sines and cosines. II. Multiply the numerator and denominator of a quotient by the conjugate of the denominator. III. Use a Pythagorean identity. IV. Separate a quotient into one or more quotients. V. Use factoring techniques. A. technique III B. technique II C. technique V D. technique IV
Write the number in standard form.4 ten thousands + 1 thousand + 3 hundreds + 9 tens + 8 ones
A. 89,314 B. 41,398 C. 4138 D. 43,918
?If the total cost function for a product is 
dollars. Find the minimum average cost.
?
A. ?$14.25 per unit B. $?18 per unit C. ?$14.36 per unit D. ?$14 per unit E. ?$13 per unit
Find the component form of the indicated vector.Let u = 
, v = 
. Find -u - v.
A. 
B. 
C. 
D. 