A covered mug of coffee originally at 210 degrees Fahrenheit, if left for t hours in a room whose temperature is 60 degrees, will cool to a temperature of 60 + 150e−1.7t degrees. Find the temperature of the coffee after the following amounts of time. (Round your answers to the nearest degree.) (a) 15 minutes _______ °F (b) an hour ________ °F

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Q: 2. ( ) Consider the function f(x) = x* – 4x3 + 4x2 + 4 Draw the graph of this function. Identify the...

A: a. The given function is f(x) = x4-4x3+4x2+4 and its graph can be plotted as    

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Q: = cos (0.57 x) defined over [0.25, 1.25]. Using Bisection method, the absolute error lexact- :approx...

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Q: #16) Use the given information to sketch the graph of f. assume that f is continuous on its domain a...

A: G

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Q: Find a possible formula for the trigonometric function whose values are in the following table. 6. 1...

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A: Given : f(z)=1c-z ,z0 =2    TAYLOR SERIES IS: f(z)=f(a)+f'(a)(z-a)+f''(a)(z-a)2/2 +.....  f'(z) =-1(...

Q: #1

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A: Solve the following differential system:x'y'=-1210-12xyHint:A has a repeated eigen value and a singl...

Q: #19 from textbook

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Q: Problem 3. (10+10 points) Consider the following two sequences of real numbers 4n – 3 1 1 Yn = 12 1 ...

A: Given two sequence    xn=4n-32n  and yn=112+122+132+...+1n2

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A: To find out the limit of rational function, we first check that the limit of denominator is not zero...

Q: bints) Linear System Application - Movie Theater Tickets ovie theater charges $ 9 for adults and $ 7...

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Q: 4- Please solve this question with all steps. Many Thanks and Thumb

A: We have to solve given problem:

Q: Find the area of the shaded region. (Round

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Q: Why is the proof incorrect ?

A: Here, <N≅<PON≅OP andOR≅OQ From the above condition (A-S-S) we can not conclude  ∆ONR≅∆OPQ  

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A: Given that , For a function f(x,y): fxx=x2 , fyy=y2 ,  fxy=2 Critical points of f(x,y):  P(1,1) and ...

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A: Note: Since you asked multiple questions, I solved first one if you want answer of other questions p...

Q: All three parts of these questions refer to the two vector fields:

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Q: 2.4.1. Show that the random variables X1 and X2 with joint pdf f(21, #2) = { 0 1212(1- 2) 0<x1< 1, 0...

A: Here Marginal pdf of X1 = f(x1) =f(x1)=∫01f(x1,x2) dx2 =∫0112x1x2(1-x2) dx2 =∫0112x1(x2-x22)dx2     ...

Q: メ y= Ce + C,e , (-0∞, 0); g- y = 0, Y(0) = 0, y'o) = 1 %3D %3D %3D f=メ, f,0 =メ)f 11 2. A 4x-3x %3D (...

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Q: 4. Describe the range of w= f(2) =2 defined on the set S = {z+zy: -y c,c> 0} %3D

A: given w=fz=z2 range defined on set  S=x+iy:x2-y2=c,c&gt;0  

Q: Advanced Math Question

A: The objective os to find an equation of the tangent line to the surface x2+8y2+z2=468 at the point 6...

Q: 7- Please solve this question with all steps. Many Thanks and Thumb

A: Given series is ∑n=1∞n3e-n/2 The integral form to find convergence is: ∫1∞fxdx In the limit form it ...

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Q: 2 whose eigenvalues and eigenvectors are ri = 1, ui and r2 = -1, u2 Let A = ´a(t) b(t) ( dt). Find e...

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Q: Clair decided to set up a scholarship for college students. She deposited $1200 in an account at the...

A: Formula used: Geometric series 1+r+r2+…+rn=rn+1-1r-1          if r&gt;1. Given: Clair deposited $120...

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A: ANSWER:

Q: Decide if the series converges absolutely, conditionally, or diverges. (Try using the limit comparis...

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Q: find the equation of the tangent line to the graph of x^3 - xlny + y^3 = 2x + 5 at the point where x...

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Q: :The value of -2|U(A)| is

A: If the value of U(A) is (5) or (-5) then |U(A)| =5 then   -2|U(A)|=-2*5=-10. Otherwise answer is non...

Q: dy A3. The integrating factor for the differential equation +ycot x=x' is: dx c) e° d) sin b) tan x+...

A: A3. Given, the differential equation dydx+ycotx=x3 which is in the form of dydx+Py=Q Here, P=cotx an...

Q: QUESTION 12 What is the axis of symmetry for h(x)=4x²+5x -6? а. X = 5 Ob. X= - 8 3 O d.x = -5 4

A: Concept: 5xIf f(x) is quadratic function of the form h(x) =ax2+bx+c Then axis of symmetry of f(x) is...

Q: Help me fast....I will give Upvote

A: Re writing the given equation: y''-y'+5y=ut-2e4-2t.  Let Ys be Laplace transform of y(t) so taking L...

Q: Consider the vector field F = (y sin z)i + (x sin z)j + (xy cos z)k

A: The circulation is denoted by ∮CF.dl. Now using stokes theorem:  ∮CF.dl=∯∇×F.dS

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A: Given the region D: y≥0, x2+y2≤1. 

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A: Given mx=x2+6x−27 (a) We have to find the axis of symmetry of mx=x2+6x−27 For the parabola in standa...

Q: Find the maximum and minimum values of f(x, y, z) = x + y + z subject to theconstraints x2 -y2 = z, ...

A: The surface is given by f(x, y, z) = x + y + z. The constraints are x2 -y2 = z, x2 + z2 =4. Consider...

Q: Hello can you solve how the isolation was done and which rules were applied to Isolate P in order  t...

A: The object is to isolate the variable P in the given equation: P=R+G−tPi

Q: 9- Please solve this question with all steps. Many Thanks and Thumb

A: Given series is   12+x253+x485+... ... ...∞=∑n=0∞x2n3n+22n+1 Comparing given series with ∑n=0∞an we ...

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Q: The answer is 10/3gm. Please show me how to get to the answer.

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Q: The solution of the recurrence relation an=7an-1 +8an-2 with a0=4 and a1=5 is:   a an = 7n +(8)...

A: an=7an-1+8an-2      with a0=4  and a1=5 an-7an-1-8an-2=0  characteristics equation will ber2-7r-8=0r...