The heat transfer rate of the rocket engine is given by: dT Q = -kA- dx Where k is the thermal conductivity of its material, A is the cross sectional area and T=T(x) is the temperature distribution. For a. T(x) = tan(x) sec(x) + sin(x²), k=0.7 and A= 10 find Q at x=r/3. b. T(x) = /xcos(4x) +÷, find Q at x = 1/2. c. T(x) = x (**-cos(2x). find Q at x = 1/4. d. T(x) = 100e¬3x + In(4x), k=470, A= 0.01r and x= 1/3; %3D

Q: The heat transfer rate of the rocket engine is given by: dT Q = -kA –dx Where k is the thermal…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: On a particular summer day the temperature function in Celsius is given by (7) T(t+7) T(t) = 20 + 8…

A: The function f(t) is a rule that associates or fixes a number to the particular point t. If the…

Q: dx

A:

Q: An object moving along a straight line has velocity function v(t)=sint, if the object starts at…

A: An object moving along a straight line has velocity function v(t) = sin t. If the object starts at…

Q: If V = x² + y² where, x = a cos t, y= b sin t, find AP and verify the result. dt

A: x=acost y=bsint V=x2+y2 put the values of x and y V=acost2+bsint2 V=a2cos2t+b2sin2t

Q: s of stick t

A: Given that it needs 5meters of stick to make a picture frame.

Q: A 5 kg weight is attached to a spring with constant k = 80 N/m and subjected to an external force…

A: Consider my¨+ky=Ft......1 Given that m=5 kg, k=80 Nm and Ft=140sin3t..…

Q: Consider f(x)=tanx a. Find the linear approximation of f(x) at a=pi/4 b. Use this to estimate…

A: This question can be solved using the formula of linear approximation.

Q: A 7 kg weight is attached to a spring with constant k = 63 kg/m and subjected to an external force…

A: I have explained everything with in the solution. Please go through that.

Q: A 2 kg weight is attached to a spring with constant k = 8 kg/m and subjected to an external force…

A:

Q: Given y = f(u) and u = g(x), find y=8u+1, u = dx (글)x 2 || 3 + dy ᆞ = f'(g(x))g'(x). dx

A: According to Bartleby guide line we only do first part of multiple questions.(A) y=8u+1,

Q: Let X have the pdf 1 p(x) = T(1+ a2)' x E R. %3D Find the pdf of Y = X?.

A:

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.