Given the function f(x, y, z) = (sinx)(cosy)(ln z), find the total derivative with respect to x, df/dx at the point (1,2,3).

Q: Which of the following is the complete set of roots of the auxiliary equation for y'"-3y"+3y'-y=0. A…

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Q: dz Use an appropriate form of the chain rule to find z = 7x³y³; x = 5, y = tº Enter the answer in…

A: To find the derivative of z with respect to t

Q: 28. f(x) = e(et)

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Q: 6. (Problem # 55, p. 53) When log y is graphed as a function of log x, a straight line results.…

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Q: 3x fe³x dx

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Q: 1 For each of the following problems, find the solution of the initial value problem in explicit…

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Q: Find a and b such that f is differentiable everywhere. 8 cos(x), x < 0 ax + b, X 20 a b = || f(x)

A: Since the function is differentiable everywhere so it will be differentiable at x=0

Q: 4. Σ n=0 3η + 2 5n3 +1

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Q: If a is a nozero real number, then lim (A) 0 B (c) 1 1 2a² D does not exist x²-a² x4-aª is

A: Use limit concept

Q: Question 5 The curve y²-x²= -5x is a solution to the differential equation y'= (2x - 5)/2y A FALSE…

A: Given differential equation, y'=(2x-5)/2y So, 2ydy=(2x-5)dx

Q: - 2 to The region bounded by the line 2x + 3y = 6 and the x and y axes is rotated around the line y…

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Q: A college professor never finishes his lecture before the end of the hour and always finishes his…

A: This is a problem related to probability. Please follow the procedure given below.

Q: Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear…

A: Note: Due to guidelines I can solve only the first question. Solution: Here coefficient matrix A…

Q: The cost of a four-year private college education (after financial aid) has been estimated to be…

A: This is a problem related to compound interest. Based on the general formula of it we will find out…

Q: You have the following data Y=12, 8,16, 7, 8, 9, 20, 4 The Skew modulus is

A: Skew modulus = 3(mean- median)/standard deviation

Q: Find the points of intersection of the graphs of the functions y = 35 - 21x and y = 15x9x² (enter…

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Q: Question 13 What is the general solution of the differential equation y" - 2y'+y=0? y=Cu +Cre B…

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Q: 3x-5 1) Solve <2 algebraically. x+2 2) Graph f(x) = asymptotes. x²+4x-12 x+2 You need to show your…

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Q: a. Construct a rational function whose only asymptotes are y = 4 and x = 1, and whose x intercept is…

A: Given that Asymptotes y=4   horozontal asymptotes.x=1  vertical asymptotesx intercept is 14,0y…

Q: Solve the following differential equations. Show your complete and detailed solutions. dy xy-y +…

A: See the details solution in below

Q: The graph below is the function f(x) -5-4-3 -2 5 4 3 4 F-2 -2 -3 -4 Select all statements below that…

A: Here we have to choose the correct options.

Q: Find the general solution to each of the following differential equations. Write the solution in…

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Q: Determine the value of k such that x²y=1+x is a solution to (x²y + k) dx + x³dy=0

A: We have to find value of k.

Q: A student's course grade is based on one midterm that counts as 10% of his final grade, one class…

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Q: 6. f(x) = sin(2x)

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Q: A corporation recently sold zero-coupon $700 bonds maturing in 3 years with an annual yield of 8%.…

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Q: Find the distance between the point (3,-1,1) and the line going through the points (1,2,3) and…

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Q: 9. Find the exact value of the distance between the lines L₁ : x = −3+3t, y=1+t, = = −4+4t L₂ :…

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Q: What is the general solution of the differential equation y" - 2y +y=0? A B © (D) y=C₁₂e¹+C₁₂xet y=C…

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Q: 33. f(0) is undefined. lim f(x) = 4 x-0 ƒ(2) = 6 lim f(x) = 3 x-2

A: This is a problem related to graph of the limit function. Please follow the procedure given below.

Q: Given the function f(x) - 4x² + 4x + 1. Find the average rate of change of f from x = -5 to x = 6…

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Q: Let r(t) = (sin(t), cos(t), 3 sin(t) + 4 cos(2t)). Find the projection of r(t) onto the xz-plane for…

A: Answer: The solution is as given below:

Q: Determine convergence or divergence using any method covered in the text so far

A: NOTE: Refresh your page if you can't see any equations. . use the comparison test

Q: Find a function of the form y = function shown below: -13 12 -10 -9 -6 -5 -2 ^^ y = A sin(kx) + Cor…

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Q: Determine the value of ksuchthatf (x)= kx2 ifx ≤ 2 2x+k ifx>2 iscontinuouseverywhere.Then, kerk

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Q: (a) Graph the pdf. f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 0 0.025 0.025x+0.4 dx= (b) Calculate P(X ≤ 4). 2…

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Q: Find the information for the function, f, graphed below. State your answers using interval notation.…

A: NOTE: Refresh your page if you can't see any equations. . as we can see the function is increasing…

Q: Q / If you have th matrices S and M be the determinant of [₁ L60 55 48 M= 10] 14 43 10 /M*S/= S

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Q: 2. What equal payments at the end of 2 years and 5 years will equitably replace these obligations,…

A: Explanation: P = A(1 + i/n)^nt P = 4000(1+.09/2)^(2*7)P = 4000(1.045)^14P = 4000(2.369)P = 9476.00…

Q: Determine the value of ksuchthatf(x) = Blank 1 Add your answer 7x=2 kx² yxs ifx > 1…

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Q: 2. Newton's law of cooling states that the temperature of an object changes at a rate proportional…

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Q: y" + 20y' + 64y = 60e-4x

A: To find the solution

Q: Find the general solution of the differential equation y(i) + 2y ''' —y" – 2y'=0.

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: Graph the set of points of discontinuity for the following function: 1 f(x, y) xy+6

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Q: If p = .20, how large a sample is needed to justify using the normal approximation to the binomial…

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Q: The 30th term of an arithmetic sequence is 147 and the common difference is 4. What is the first…

A: It is given that 30th term of an arithmetic sequence is 147 and the common difference is 4.

Q: Which of the following is an integrating factor for the differential equation dy/dx - y = 1? A B 2et…

A: See the details solution in below

Q: Parametrize the intersection of the surfaces y² − z² = x − 5, y² + z² = 9 using trigonometric…

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Q: 5. 0= n n!

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Q: Let r(t) = (sin(t), cos(t), 3 sin(t) + 7 cos(2t)). Find the projection of r(t) onto the xz-plane for…

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