It's -5j2 -8j -9
-4j-1-4j+6 = -8j+5
8j
To solve for "j" in the equation 8j - 18 = 14, you can isolate the variable by adding 18 to both sides of the equation. This will give you 8j = 32. Then, divide both sides of the equation by 8 to find that j = 4.
-15
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To find the new coordinates of the particle after 3 seconds, we need to integrate the acceleration function twice. Given the force function F = 4i + 8j + 10k, we can find the acceleration using Newton's second law (F = ma) and then integrate it twice to find the position function. The final position coordinates can be determined by plugging in t=3 seconds into the position function.
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That completely depends on what numbers 'j' and 'k' are, and it changes immediately if either of those changes.
a. The velocity of the particle is the derivative of its position function with respect to time. In this case, the velocity would be v = 4t^2j + k. b. The acceleration of the particle is the derivative of its velocity function with respect to time. So, the acceleration would be a = 8tj.