We noted tnat Newton's Law of Cooling/ Heating can be modaled by te IVP, AT - hlT-Te), T6) = TE dt - Stabe Newten's Law and define all variableo and constants. - Solue the IVP uoing an integrating facor. - Suppose you preheat your ouen 325° and you want to bake from the refrigerator (32) inte the ouan. If it takio 1.25 hours for the temperature of your bind to reach 170° what io tu heat loss oefficient? to you plae alouely chicken

Q: QU 3 a). A drug in the blood stream decays by according to the equation y'= Cy, where y is the…

A:

Q: Prove the formula for the derivative of a) (Inverse of cotangent) b) (Hyperbolic cosecant) y = csch…

A: formula for derivative of both function is following:-

Q: What is the difference between Secant and Newton’s method? Justify your answer graphically

A: Secant Method: In the field of Numerical analysis, the secant method is an algorithm of finding…

Q: d 17. t?e" dt dx

A: We have to solve

Q: y"" 1 x² ln x

A: As per our guideline, we are supposed to solve only one question. Kindly repost other question as…

Q: Solve Variation of parameters to find y. and Yp and y y" + y = secxtanx

A:

Q: 5) y= 2sin(x + T/4) + 1 Vertical Shift: Phase Shift:

A: If y= A sin(B(x+C))+D then,Amplitude -APeriod -2πBPhase shift -CVertical shift -D

Q: A mass attached to a vertical spring has position function given by s(t) = 8 sin(3t) where t is…

A: Given data : Position function , s(t)=8sin(3t) where t is measured is sec and s(t) in cm.

Q: A mass 5-kilogram attached to end of a spring that is stretched 20 cm by a force of 9N. It is set in…

A:

Q: Explain what method can we use instead of a Newton method when we don't want to find a derivative?

A: To find: Method can be used instead of newton method when we do not want to find a derivative.

Q: 2. Find the derivative of each function. Simplify your answers completely. In10 a) y= log 2a.

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Q: 12y-y=e

A:

Q: Find the indicated derivative dy/dx 3.) x+xy+y=1

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: @ yーJ=ex 12 y3=

A:

Q: If y=In(e), then y' =1. True False

A:

Q: 12 y"-y=e

A: Please refer the attached image for complete solution.

Q: how do I implicitly differentiate, (solve for ds/dt) where: sqrt(t+s) = 2s

A: firstly, we square the both sides.

Q: e'dt

A:

Q: Find 00 et (ii) L-1 [cot"" ())

A:

Q: Use logarithmic differentiation y = (x) ²

A: Topic = Derivative

Q: Tes 4-) Calculate the of the function derivative y sin² ((512)-x) Sin (x+6)

A:

Q: 3. y = x/x + vx

A: As per our guidelines we are supposed to solve only one question i.e. the question no (3). For the…

Q: If csc t = 78.417, then csc(-t) = = If cott = 38.09, then cot(-t) = If sect=482.148, then sec(-t) =

A: If csct = 78.417, csc-t = ? If cott = 38.09, cot-t = ? If sect = 482.148, sec-t = ?

Q: Seax sinh ax dx ах

A: Given integral is  ∫eax·sinhax dx To evaluate the value of given integration, we will use the…

Q: Fill in the blanks for each of the following: a) y = e* is the inverse of the function: b) Simplify:…

A:

Q: y-y-coshx Ans.

A:

Q: y= log, sinx

A:

Q: If e is the angle between the two regression lines of y on x and x on y. Then 1- 7? 2. X y prove…

A: For the provided lines with defined slopes of m1 and m2, the acute angle (defined as θ) is given as:…

Q: Am + bm = S2m = ame™™ + bme¯ L V' 2| dy sin シ (v-) =[V +(-1)"(v' – v)]. тлу L am

A: Here m≠0.

Q: Illustrate the standard error of z'?

A: Standard error (z-standard normal variable): The standard error of the mean is defined as the value…

Q: If + -= v. which of the following equations is correct with f as the subject? Select one: utv f a.…

A: Simple calculation problem...

Q: 95.a)

A:

Q: 1. £[(sint + cost)2] 2. £[sint cos²t] 3. £[31² +2cos 2t)]

A:

Q: Q12. If fla)= tann- 3 secu find f'(a) = find f'E) =

A: first derivative of f(x) is f'(x)= cos x+3sinx

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.