Find the directional derivative, Dчf, of the function at the given point in the direction of vector v. f(x, y) =2ln(x²+y²), (2, 3), v = <-3, 2> Duf(2, 3) =

Q: Given the graph of f, find any values of x at which f' is not defined. 13 12- 12 OA. x=0 OB.…

A: The derivative of function f is undefined at when function discontinuous at when a vertical tangent…

Q: f'(x) = f(x) = In[x(x+2) 4 (x² + 6)⁹]

A: The derivative is: f′(x)=x(x+2)(x2+6)31x3+54x2+78x+108​Explanation:The given function…

Q: Find the values of x, y and z that correspond to the critical point of the function: +5g f(x, y) =…

A: .

Q: Sketch a graph of x = = 2t+ 3, y = t + 3. S 3 1 2 3 4 5 -1 -5-4-3-2-1 2 1 -2 -3 45 -4 Clear All…

A: The graph is provided below. The blue line is for y = t + 3 and the red line is for x = 2t + 3 Just…

Q: Q/Derivatives of inverse Trig functions 3 = √√ si y = sin(cos-¹√√1 – In(x − sin x) -

A: The given function is

Q: 6. Sketch an even continuous function with all of the following features: • Absolute minimum at -5 •…

A: Function is even continuous  function.  Absolute minimal at -5 Zeroes at 4 and -4y- intercept at -23…

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: Solve the system of equations 2x - 8y = 148 1x9y=152 by converting to a matrix equation and using…

A:

Q: Hello Continuing with this problem, shown in the picture, where the parameterization for S was…

A: Hence, the surface area of the parametric curve is 2​πExplanation:Step 1: Step 2:Step 3: Step 4:

Q: dy Find • for the function y =23x dx

A: The objective of the question is to find the derivative of the function y = 23x with respect to x.…

Q: what is the volume of the solid formed by revolving y = 13sinx*cosx between x=0 to x=pi/2

A: Answer written in explanation Explanation:Step 1: Step 2: Step 3: Step 4:

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

A: If you've any doubt comment below-Explanation:

Q: what about the local minimum?

A: To find the point(s) of local minimum in the following graph.

Q: #1: For which of the cases below do the given functions form a fundamental set of solutions of the…

A: Summary: - (i) does not form a fundamental set due to missing different exponent solutions and…

Q: Find the length of the arc of the curve y = ln x over the interval: [1,4]. Round the answer to four…

A:

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

A: 16.51​ln∣x−4∣−51​ln∣x+1∣+Cor,51​ln∣∣∣​x+1x−4​∣∣∣​+C17.2ln∣x+2∣−23​ln∣2x+1∣+CExplanation:Step 1:Step…

Q: Tutorial Exercise Find the arc length function for the curve y=2x3/2 with starting point Po(16,…

A:

Q: A model for the surface area of the human body is given by the function S = f(w, h) = w0.425 0.725,…

A: The required answer is 0.4997Please find the attached file for details...Thank you...Explanation:

Q: Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces.…

A: Final answer and explanation are clearly mentioned in the next section.Explanation:Please let me…

Q: The center A and the radius R of the following sphere x² + y² + z² - 2x - 2y2z1 are Ignore "Give…

A: The given sphere is, , we have to find the radius and center of the sphere.Standard form of a sphere…

Q: Find an equation of the tangent plane at the given point: F(r,s) (32 +21), = - - (2,1) z = Submit…

A:

Q: Consider the function f(x) = x² + 2x - 8. (a) Find and simplify: f(z)-(1) 귿-1 (b) Now determine the…

A: C=1/7Explanation:

Q: Solve and include restrictions for: e^(2x-3) = 2^(3-2x) (An explanation to this problem would also…

A: Answer is given below :-Explanation:

Q: If 0=28°, find the distance between two cities, A and B, to the nearest mile. The radius of the…

A: based on the information provided, the approximate distance between cities A and B is 1955…

Q: Find all critical numbers and use the Second Derivative Test to determine all local extrema.…

A:

Q: Exercise 1.- Calculate the mean value of the function f(x) = 3x² + ½ in the nterval [-2,2] and…

A: Mean Value Theorem for Integrals: If is continuous on the closed interval and differentiable on…

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A: The given revenue function

Q: Let f(x,y) = x2+2xy-2y2-10x. What are the critical points, and the saddle point(s), local…

A: ​Saddle point at (310​,35​)No local maximum, No local minimum​Explanation:Step 1:​Given a…

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A:

Q: The graph of a function is given. Choose the answer that represents the graph of its derivative…

A: We need to determine the graph of the derivative from the given graph.

Q: C. Find the equation of the plane that passes through the points A(1,-1,1), B(1,2,0) and C(0,1,-1)

A:

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A: To find the rate of depreciation after 5 years, we need to calculate the difference between the…

Q: Use the compound interest formula, A (t) = P(1 + 77) n After a certain number of years, the value of…

A: The value of investment is : $ 15903.61Explanation:

Q: A manufacturer has been selling 1500 television sets a week at $540 each. A market survey indicates…

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Q: Evaluate the integral using partial fraction method (3x² + 2) dx (x+2) (x²+4)

A: The given integral

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

A:

Q: The voltage V in a simple electrical circuit is slowly decreasing as the battery wears out. The…

A: Please see the explanation Explanation:Step 1:

Q: y= log(ln(2x)) , and explain why there is no y-intercept.  (an explanation of the problem and how to…

A: No y-intercept Explanation:

Q: Solve. log 3x=4 The solution is x= (Simplify your answer.)

A: Log3x=4We have to find value of x

Q: Use the arc length formula to find the length of the curve y=9-4x,-2 ≤ x ≤ 4. Check your answer by…

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Q: Given the given cost function C(x)=8600+640x +0.5x² and the demand function p(x) 2 Find the…

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Q: Use logarithmic differentiation to find the derivative of y with respect to the independent…

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Q: Find the smallest positive value for for which the tangent line to the curve r = 8 = Question Help:…

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Q: Find the solution of the differential equation d² y 3. +4- dx2 dy dx - 4y = 0 a. y= Ae -3x 2x + Be²x…

A: b. y=Ae32x​+Be−2xExplanation:Step 1:Step 2: Step 3: Step 4:

Q: Use the graph to evaluate the limit. lim f(x) 0+x -B 6 30 2 R X +30 G OA. -3 OB. 3 ○ C. 0 OD. The…

A:

Q: Use the One to One Property of Exponentiation to solve the following exponential equation. Input…

A: 23x= 41+xWe have to find value of x using one to one property of exponential

Q: Give the probability distribution for the indicated random variable. (Enter your probabilities as…

A: The probability distribution of X is shown below.x23456789101112P(X=x) 1/36 2/363/36 4/36  5/36 6/36…

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

A: We need to find value of G.

Q: Use a sketch to find the exact value of the following expression. tan cos 16 20 Which of the…

A: Answer Option D is correct sketch. tan(arccos2016​)=43​Explanation:For any query with the solution,…

Q: Show that the pyramids cut off from the first octant by the tangent planes to the surface xyz=5 at…

A: Given surface equation The equation of tangent plane to the curve at point  with normal vector  is