Given f(x, y, z)= = fz(x, y, z) = fy(x, y, z) = fz(x, y, z) = √−4x – 5y – 2z, find

Q: 5 The exact value is: Find the exact value of exact value and the value calculated using the…

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Q: The cost function for q units of a certain item is C(q) = 95q + 101. The revenue function for the…

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Q: Find dx if y=e²x⁹ 1) dy=9e² dx 2) dy dx 3) dy=2x²e²r³-1 dx 12,9 4) dy=18x³ In (2⁹ dx 5) dy=18x³²x⁹…

A: Topic- Derivative of a function We are giveny=e2x9and we know thatddxef(x)=ef(x)f'(x)ddxx9=9x8

Q: x y z Find the derivative of the function f(x,y,z)=+ = + y z x OA. √3 ²/ √² OC. 2-√2 3-√3 O B. O D.…

A: Please see the below picture for detailed solution.

Q: The radius of a spherical balloon is measured to be 7 inches, with a possible error of 0.03 inch.…

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Q: 12. What's the solution set to the following system? x² + y² = 9 9x² +25y² = 225

A: To solve the given system

Q: 4t -4t Given that y(t) = C₁e¹t + c₂e² is the general solution of the differential equation y" - 16y…

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Q: Use the following graph of f' to sketch a graph of f. 20 16 12 co -M 12 16 F

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Q: • Find the extreme values of g(x, y) = x² + y² + x²y on the circle x² + y² = 12 using the method of…

A: The given function is: g(x,y)=x2+y2+x2yConstraint is:  f(x,y)=x2+y2-12=0

Q: Express the plane z = x in cylindrical and spherical coordinates.

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Q: ind the area of the region pictured below that is bounded by the functions v(y) = 2y — 6, u(y) = −2y…

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Q: (6) Let F be a field and x € F. Prove that -(-x) = = X.

A: Solution: Given that

Q: f(x)=9x/2x+4   f′(x)= f′(9)=

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Q: 1) x² + y² = 2 2 = 36

A: Implicit differentiation. Find y.

Q: Suppose that the dollar cost of producing x appliances is c(x) = 1500 + 110x -0.2x². a. Find the…

A: NOTE: Refresh your page if you can't see any equations. . the average cost function is given by

Q: Use the substitution x = 44dx x²√√√x² + 4 2 tan (0) to evaluate the indefinite integral

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Q: 36. The 28th term in the expansion of (A - B)30

A: Formula: nth term in (x+y)n expansion is Tr = nCr-1 xn-(r-1).yr-1

Q: Suppose u and v are functions of x that are differentiable at x=0 and that u(0)=2, u′(0)=3, v(0)=7,…

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Q: Find the measure of the angle between the three-dimensional vectors a and b. Express the answer in…

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Q: Let f be a function such that Evaluate the limit lim ef(x) - 1 x3 2x6 ef(x) - 1 x3 2x - 6 (a) lim…

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Q: 8. What's the solution to the system of equations below? x-y+z=-1 x+y+z=1 x+y-z=-7 O A. {(4, -4,1)}…

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Q: Find the limit lim x →∞ (e-x^2)

A: lim x →∞ (e-x^2)

Q: Given this plane equation 3 x − 2 y + z = 16| Identify (by Lagrange multiplier method) the point on…

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Q: n astronaut conducting an intergalactic experiment on plan the edge of a short cliff. The height of…

A: a.  for cliff height , put t = 0 Height of cliff = 10 m

Q: 2) Form a differential equation by eliminating the arbitrary constant a and b from the equation y =…

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Q: 2. Let f(x) = x² x3+1' Determine the exact location of any turning points. Use the second derivative…

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Q: Given the following information, determine the value of x: u = [2x, 5], v = [3x, 1 and += 7x.

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Q: Find the transform of the given function by use of a table. f(t) = e-4t 1 A F(6) ---¹²-4 B 4 F (8) =…

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Q: For the graph, which of the numbered points are inflection points? (Enter your answers as a…

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Q: 2 y =tan ¹ ( 7²2 )

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Q: Find the indefinite integral. (Use C for the constant of integration.) 72 ee +1 72 e +1 -x + C dx X

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Q: Verifying a Solution In Exercises 5-10, verify that the function is a solution of the differential…

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Q: 3. a) Find all critical points of the curve f(x) = x²(3x − 1)6. 4x+8 b) At what point(s) on the…

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Q: The graph of a function fis is shown below. Sketch the graph of the derivative f B --2 5 3 2

A: The graph of the function fx is To determine: The graph of the derivative f'x of the function fx.

Q: Determine the type, order, degree and linearity of each differential equation. a. b. C. d dy 14…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Please identify and sketch the level curves and traces of the curve 4x - y² - 2z = 0.

A: Level curve of function 4x-y2-2z=0

Q: Use the indicated x-values on the graph of y = f(x) to find the following. m 9 с fgh X Find…

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Q: 1) Solve the following inequality: a) using sign diagrams, b) Graphically. Show all diagrams and…

A: We need to find out the solution of the given inequality using sign diagrams, and graphically also.

Q: Find the differential dy of the function y = 4x²-x+ 3 Select one: O a. (8x-1)dx O b. (x²-x² + 3x) dx…

A: Solve for the differentiation

Q: V=r of a spherical balloon changes with the radius. ate (in/in) does the volume change with respect…

A: Topic:- application of derivatives

Q: Find the domain f(x) = 1 - ex^2 / 1 - e1-x^2 *Please use handwriting not type script, i understand…

A: Find the domain f(x) = 1 - ex^2 / 1 - e1-x^2

Q: The growth in the number (in millions) of Internet users in a certain country between 1990 and 2019…

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Q: A taxi company in Indiana charges a flat rate of $5.00 for the first 2 miles, then a rate of $0.80…

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Q: Given: 2.Circles tangent to the x-axis. Answers: 2. [¹+ (v)²] = [W²+¹+ (v)³]}

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Q: Use the graph of the line given below to answer parts a) and b). a Find the slope of the line given…

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Q: Find the inverse transform of the given function of s. F (s) = 3s + 8 s2 + 8s + 20 A f B f (t) =…

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Q: Using the diagram below, write AG using at least two other vectors. Use only AB, AD, and AE in your…

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Q: C. ОЛ |y=x² y = x(4-x) + X d. y 0 y = sin x y = cos x X

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: The population of a town can be modelled by the exponential equation P(n) = 12000(1.02)n-2015, where…

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Q: DIFFERENTIAL EQUATION (6²-2xy²) dy 1. (2y³ +4²) dx = 1 2. 2yy" + (y)² = 0 3. (2xy) dx + (y² + x²)dy…

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