Find the domain of the function for the given range.f(x) = -x + 9
Range = {-5, 0, 5, 6}
A. Domain = {-14, -9, -4, -3}
B. Domain = {-14, -9, -4, -3, 0}
C. Domain = {0, 3, 4, 9, 14}
D. Domain = {3, 4, 9, 14}
Answer: D
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Find the gradient field of the function.f(x, y, z) = z sin (x + y + z)
A. ?f = -cos xi - cos yj + (sin z - z cos z)k B. ?f = z cos(x + y + z)i + z cos(x + y +z)j + (sin(x + y + z) + zcos(x + y + z))k C. ?f = -z cos(x + y + z)i - z cos(x + y +z)j + (sin(x + y + z) - zcos(x + y + z))k D. ?f = cos xi + cos yj + (sin z + z cos z)k
A projectile is fired from a height of 350 ft with an initial speed of 200 ft/sec and an angle of elevation of 30°.
a. What are the scalar tangential and normal components of acceleration of the projectile? b. What are the scalar tangential and normal components of acceleration of the projectile when the projectile is at its maximum height?
Use Cramer's rule to solve the system. If D = 0, use another method to complete the solution. 3x - 2y + 2z - w = 2 4x + y + z + 6w = 8-3x + 2y - 2z + w = 5 5x + 3z - 2w = 1
A.
B.
C. ?
D.
Solve. Write your answer in simplest form.You have three bolts that are in.,
in., and
in. long. You select the shortest of these to join two plates. Which length was selected?
A. in.
B. in.
C. in.