Given f(x,y,z) = x²y³z+ye -√4-x², find the first order partial derivatives f₁, f, f

Q: f'(x) = ƒ' (e³) = f(x) = (ln x)7

A: ∙  f′(x)=x7(lnx)6​∙  f′(e3)=e35103​Explanation:

Q: The diagram below illustrates the number of moose (red curve) and wolves (blue curve) between 1960…

A: The diagram below illustrates the number of moose (red curve) and wolves (blue curve) between 1960…

Q: کا ✩ ផ Consider the following use of logarithmic differentiation to calculate the derivative. Let y…

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Q: Q2\ (A) Find the tangent and normal to the curve x²-xy+ y² = 7 at the point (-1,2).

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Q: 1. Given the differential equation below, find the solution using Laplace transformation. The…

A: The objective of this question is to solve the given differential equation using Laplace…

Q: 10 m₁-m 2 = 5 m₁+ m2 1 Solve for m₁

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: f′(x)=−(3x−5)23​Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Find the length of the parametric curve defined by x = 3 sin(2t), y = 3 cos(2t) from t = 0 to t =…

A: The length of the given parametric curve from  t = 0  to t = 7pi  is42πExplanation:Given parametric…

Q: Below is the graph of the function f (a) and a table of the graph of g (a). Solve the equation g…

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Q: y= (sin(x))6x³-8x+17

A: y=(sin⁡(x))6x3−8x+17Taking natural log both sidesln⁡y=ln⁡[(sin⁡(x))6x3−8x+17]Using logarithm…

Q: Let us model the number of automobile sales in a developing country as N(t) 158,000…

A: a) 22899 cars at 2010b) 122566 cars at 2020c) cars sales stabilize at 158000 cars.Explanation:

Q: 9) A winch at the top of a 12-meter building pulls a pipe of the same length to a vertical position.…

A: The objective of this problem is to find the rate of change in the vertical and horizontal positions…

Q: Question 4 Let f be a function with domain all the reals such that f'(x) = x(x²-1)(x² - 7x+12)…

A: Let a function then the slope of function is given as follows where m is the slope of the tangent…

Q: Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator…

A: x=−1,0,1y=−1Explanation:Given the equation,y=x2−x42+x4​ Solving for horizontal and vertical…

Q: What are the absolute max and min values for the following function: f(x,y) = x3+x2y+2y2 on the…

A: Answer:Absolute maximum value of function = 2Absolutely minimum value of function = 0The detailed…

Q: Find all points (x,y) on the graph of f(x) = 2x² - 3x with tangent lines parallel to the line y =…

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Q: 3x3 +5y3 lim (x,y)-(0,0) x² + y²

A: To find the following limit.

Q: Parameterize x(y) = √√y+5y using y = t Ans=

A: The parameterization of x(y)  using  y = t  is  x(t)=t​+5tExplanation:Given expression is…

Q: https://www.youtube.com/watch?v=rUdcUemO_oYhttps://www.youtube.com/watch?v=W2Y6aSwwVLY Following…

A: 1. The log of the ratio of solution ATo find the decay constant 'k': k = - (1/t) *…

Q: I need help with number 17.

A: If you're seeing the number 17 often, it might mean your guardians are trying to tell you something.…

Q: #3 Given f(x, y)=3x-1, Po (2,-1) (a) find f(xy), (b) evaluate of (2,-1), () find | f (2,-1), (d)…

A: Ans 3 (a): ∇f=⟨∂x∂f​,∂y∂f​⟩=⟨3,y21​⟩ (b): ∇f(2,1)=⟨3,1⟩  (c): ∣∣∇f(2,−1)∣∣=(3)2+(1)2​=10​   (d): The…

Q: Suppose the following is a sample of the day-by-day change, rounded to the nearest 100 points, in…

A: The objective of the question is to calculate the mean and median of the given sample of changes in…

Q: a) Using logarithmic differentiation find f'(x) if f(x) = (3-2x) 3√x³+7

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: dy dx = dy 33 dx = y = ln 3x14 +1 y = x cos(x)

A: The solution and explanation of the given problem are attached below.Explanation:Step 1:

Q: 11. Compute (fog)(x), (fog)(-2), (go f)(x), and (go f)(-2) for each pair of functions. (a) f(x) = x²…

A: (a) :(f o g)(x)  = 9x2-21x-6(f o g)(-2) = 72(g o f)(x)   = -3x2+9x+14(g o f)(-2) = -16 (b)  :(f o…

Q: Graph the function f(x) = log(x-3) + 1. Identify the domain, the range, and the equation of the…

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Q: Vector-valued functions (VVF) r(t) = VVF Point P t value (for point A) 1 t²i + √√4 − t j + √√t+1k…

A: Answers: 1. The domain of a vector-valued function consists of real numbers. The domain can be all…

Q: I need help with this problem and an explanation for the solution described below (Discrete…

A: The objective of the question is to determine the truth value of the statement 'If 9 is not prime…

Q: Find the values of x, y and z that correspond to the critical point of the function: f(x, y) = 4x² -…

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Q: In this problem, you will follow the parts below to solve an inequality involving h(x) = x² - 45.…

A: a).   x = -3 ( Smaller value)        x = 3  ( larger value ) b).     x = 15 c).    Shown on the…

Q: Evaluate the following integrals using partial fraction decomposition, when applicable

A: 26:To evaluate the integral ∫ dx/x^3−2x^2−4x+8​ using the partial fraction decomposition, we first…

Q: Calculus 1 Question. Please help   Thank you

A: Ans : dxdy​=6cos6xExplanation:Explanation:

Q: Hello I am working on applications of inetgration, specifcally, surface area problems. I am…

A: Given integral-To find:Evaluate the integral

Q: a) Find an equation of the tangent line, at the designated point, to each of the following: i) f(x)…

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Q: The diagram below gives part of the graph of function f.. For a0 and |x|<12 Find a and b. Write…

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Q: G=4/5 - 1/3 x 2/15 + 4/45

A: We need to find value of G.

Q: C. Find the equation of the plane that passes through A(1,2,-1) and parallel to the plane - -x+y z =…

A: The given equation of plane is  and the given point is .

Q: Given log x =α, logx x =ẞ, log¸x =y, log¸x = 0, and x 1, find log abcd empt left to earn the full…

A: Thus, \log_a(abcd) = 1 + \frac{1}{\beta} + \frac{1}{\gamma} + \frac{1}{\theta}.Substituting these…

Q: b Question 4) If f(x) is a continuous function on [a, b], then √ f(x)dx = f(b) – ƒ (a) f(x)dx = } a…

A: To provide counter example for given false statements

Q: Given the differential equation below, find the solution using Laplace transformation. The…

A: The objective of the question is to solve the given differential equation for the current I(t) in an…

Q: If possible, find the number k so that f is continuous at every point. 3x+3, x<-2 f(x)= kx+6, x≥-2

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Q: Given the graph of f(x) below, choose the correct option. A. f(x) is decreasing from A to C   B.…

A: Given:a graph of function f(x) with 4 points on graph A, B, C, and D.To find:behaviour of f(x) over…

Q: Find all solutions of the equation in the interval [0, 2π). tan 20+2 sec0=-1 Write your answer in…

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Q: Page

A: The mean value of the probability density function 0  ≤ x ≤ 60 is simply the centroid's…

Q: #6 Find an passing through points (0,3,6), (1,3,9), (-5,3,-1). equation of the plane 72

A: Equation of the plane passing through the given points is y=3.Explanation:To find the equation of…

Q: Use the table of values of f(0) = cos (40) 0 to estimate lim f(x), if it exists. 0-0 0 -0.1 -0.01…

A: From the definition of limit, limit does not exist when the left hand limit and right hand limit is…

Q: f(x, y, z) = xe²yz, P(1, 0, 1), u = (a) Find the gradient of f. Vf(x, y, z) = < (b) Evaluate the…

A: Therefore, the required answers are a) "&gt;▽f(x,y,z)=&lt;e2yz,2xze2yz,2xye2yz&gt;b)…

Q: Evaluate the integral. π/2 0 [5 cos 17t i-4 sin 7t j + sin² 5t k] dt л/2 [5 cos 17t i-4 sin 7t j +…

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Q: 3. Use implicit differentiation to find and (a) xy+yz = x2 (b) xyz = cos(x + y + z) (c) xy² 23 +…

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Q: x = −1 + cos(t), y = −2+ sin(t), 0 ≤t<2π . Sketch a graph of 5 4 3 -5-4-3-2-1 2 1 -1 -2 -3 -4 -5+ 55…

A: Orientation of the graph is Counterclockwise.Explanation: