Use differentials to approximate the arc length of the graph of the equation from P to Q. Round answer to four decimal places. Select the correct answer.
P (3,12), Q (3.2, 13.24)
a. 6.0828
b. 3.6497
c. 1.2166
d. 2.4331
c. 1.2166
Mathematics
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Solve the differential equation subject to the given condition. Note that y(a) denotes the value of y at t = a. 
= -6y, y(0) = 15
A. y = 6e-15t B. y = e-6t + 15 C. y = 15e-6t D. y = -15e6t
Mathematics
Simplify the expression by using a sum or difference identity.sin (25°) cos (95°) + cos (25°) sin (95°)
A. - 
B. 
C. - 
D. 
Mathematics
Solve the problem.The hyperbola 
- 
= 1 is shifted horizontally and vertically to obtain the hyperbola
- 
= 1Find the foci of the new hyperbola.
A. (-23, 2), (27, 2) B. (-18, 2), (22, 2) C. (2, -23), (2, 27) D. (2, -18), (2, 22)
Mathematics
Use the power rules to simplify the expression. Use positive exponents to write the answer.
-5
A. 
B. - 
C. 
D. - 
Mathematics