Please show me how to get to the answer. **Worksheet: 2.2p3 Integration by Parts****Math& 152**4. A particle that moves along the \( x \)-axis has velocity \( v(t) = t^2 \sin(2t) \) at time \( t \) seconds. a) If the particle starts at \( x = 4 \) and positive velocity indicates travel to the right, what is the particle’s \( x \)-coordinate when \( t = 10 \) seconds? b) Find the average velocity of the particle over the first 10 seconds. The text in the image reads:"4. \( x \approx \approx -11.987, 1.599 \text{ units/second} \)"This appears to be a mathematical or physics expression indicating a value for \( x \) given in terms of two approximations or calculations. The first part, \( -11.987 \), likely refers to a specific value or point, while the second part, \( 1.599 \text{ units/second} \), suggests a rate of change or speed associated with this value.Interpretation for Educational Context:This expression could be used to teach concepts involving approximation in mathematics or physics, illustrating how certain values are estimated for practical applications. It highlights the importance of precision and units in scientific calculations, emphasizing the significance of both the numeric value and the context (e.g., units/second) in which it's applied.

Name: Please show me how to get to the answer. **Worksheet: 2.2p3 Integratio
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Please show me how to get to the answer. **Worksheet: 2.2p3 Integration by Parts****Math& 152**4. A particle that moves along the \( x \)-axis has velocity \( v(t) = t^2 \sin(2t) \) at time \( t \) seconds. a) If the particle starts at \( x = 4 \)