Let a metallic rod 20 cm long be heated to a uniform temperature of 100° C. Suppose that at t = 0, the ends of the bar are plunged into an ice bath at 0° C and thereafter maintained at this temperature, but that no heat is allowed to escape through the lateral surface. Find an expression for the temperature at any point in the bar at any later time.

Q: he following function: =: Find fxy. f(x, y) = 5x4y6x4y5 - 21

A:

Q: cos(iz) = 0 iff Select one: Зп + kT. a. 1 b. z = = + k. 2 T C. Z = + kT. 2 O d. z = k.

A: cosπz=0

Q: If sinα = −4/5, where α ∈ QIV, and tanβ = 3/2, where β ∈ QIII. Determine the exact value of…

A:

Q: to メ+1

A: The solution are next step..

Q: X Find the average value of y= 4 cos on I 2 ST 6

A: The objective is to find the average value of the function y=4cosx over the interval -π2,5π6.…

Q: Show that the equation e-2x + 4 cos(13x) = 0 has a unique solution for x E 13

A: The equation is given by: e-2x+4cos13x=0 Solve to get:…

Q: Find the approximate value of cos (sin(-0.44). cos (sin -1(-0.44) = [ (Round to four decimal…

A: We will find the approximate value of cossin-1-0.44 in the following step.

Q: 1. Calculate the frequency of the sound when given the period a. T= 2.3 msec. f= Type here your…

A:

Q: Eliminate the parameter t in the following. x = 2 + 4 tan (t), y = 5 + 4 sec (t) =D1 %3D

A: Elimination is the removal of variables from a system of equations through substitution or other…

Q: MY DATA 1.34 RBC Counts The red blood cell count EX0134 of a healthy person was measured on each of…

A: From the given information,

Q: An Alternating current "i" at any time t is given by i = sin 3t.Find the RMS Value of the current…

A: This question is related to integration.

Q: Given tan(0) , then cos(0) 6 Determine the values of a and b. [ Select ] a = b = [Select]

A: This

Q: 3. Find . a. y ( +2r + 10) cos(r)

A: Find the derivatives of the given functions. Use the derivative formulas:…

Q: 21. x = y=- z = %23 25° 46°|

A:

Q: Sketch the graphs of y = sin x and y = cos x. For each graph, label the following: a the critical…

A: To graph the functions y=sin x and y=cos x and to find the critical points, amplitude and the…

Q: Solve the following equation for β. Find the smallest positive degree value.  cos(β)/3 +0.42=0.16…

A: The equation is cosβ3+0.42=0.16 To find: The smallest positive degree value of β.

Q: 10. A man programs his sprinkler system using the equation 15 sin (kt), where t is in seconds. If he…

A:

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

A:

Q: 8:56 O A ll 81% i Find the MLJIK · K 60° L. a. 240° b. 120° C. 60° d. 300°

A:

Q: Q6: When the input to a given system audio is (4 cos 800 at + cos 2000nt)mv, the measured frequency…

A: Given that  ei=4 cos 800πt+cos 2000 πt Frequency = 600 kHz     V = 1 mv e0=a1ei+a2ei2  ----(1) To…

Q: If P(B)=0.43 P(A)=0.9 P(BIA^) =0.7' P((AnB")n (A°NB)) and Find O A. 0.07

A: P(A) = 0.9 P(B) = 0.43 P(B|Ac) = 0.7 P(Ac) = 1-0.9 = 0.1P(Bc) = 1-0.43 = 0.57 Probability:…

Q: 10. Given sin (t) ==. Find each: a. sin (-t) b. sin (n – t) C. sin (n + t) d. sin (t + 47t)

A: Given: sin(t)=47

Q: 3. Calculate L {e=# cos(2t – 7)} COS

A: Given function is as below :

Q: Find the value of k if 1 х cos(3x) dx 1 3* x sin(3x) + — сos (3x) + C. k

A: .1. ʃ (u.v)dx= u ʃv.dx - ʃ(d/dx(u) . ʃv.dx)dx       Where u and v are function of x 2. ʃ sin(ax) dx=…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.