Graph the pair of parametric equations by hand, using values of t in [-2,2]. Make a table of t-, x-, and y-values, using t = -2, -1, 0, 1, and 2. Then plot the points and join them with a line or smooth curve for all values of t in [-2,2]. Do not use a calculator.x = 3t + 1, y = t + 1 

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Mathematics

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Solve the problem.Given the velocity and initial position of a body moving along a coordinate line at time t, find the body's position at time t.v = -14t + 5, s(0) = 11

A. s = -7t2 + 5t + 11 B. s= 7t2 + 5t - 11 C. s = -7t2 + 5t - 11 D. s = -14t2 + 5t + 11

Mathematics

Answer the question.You are hiking on a mountainside, following a trail that slopes downward for a short distance and then begins to climb again. At the bottom of this local "dip", what can be said about the relationship between the trail's direction and the contour of the mountainside? [Hint - Think of the trail as a constrained path, g(x, y) = c, on the mountainside's surface, altitude = f(x, y). Consider only infinitesimal displacements.]

A. At the bottom of the dip, the trail is headed in the direction of the mountain's steepest ascent. B. The mountainside rises in all directions relative to the dip. C. At the bottom of the dip, the trail is headed perpendicular to the mountain's contour line which passes through that point. D. At the bottom of the dip, the trail is headed along the mountain's contour line which passes through that point.

Mathematics

Write the phrase as a variable expression. Use x to represent "a number."The product of 6 and a number

A.  
B. 6 + x
C. 6x
D. 6 - x

Mathematics

Verify the identity.  = tan 5x 

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Mathematics