Find the directional derivative of the function at the given point in the direction of vector v. f(x, y) = 6 + 2x√y, (3, 4), v = <12, -9> Duf(3, 4) =

Q: #6: A particular solution of the differential equation _y" – 12y + 35y = ex cosx has the following…

A: Option E ) e7x(Acosx + Bsinx)Explanation:Step 1:Given non homogeneous differential equation has…

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A: By using the one to one property of exponentiation to solve the following equation.

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A: Please refer to the explanation, THANKYOU !!Explanation:

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

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A:

Q: For time t = 0, the velocity of a particle moving along the x-axis is given by v(t) = cos(8e-0.2t).…

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

Q: ☐ ☐ 1. Evaluate the Integral リ x7 خروجه 5x8 +3 dx

A: 401​ln(58+3)+CWhere C is a constant.Explanation:Step 1: Step 2: Step 3: Step 4:

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A: Given: To Find: (a) To find the zeros of f and to determine where it is positive and where it is…

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A: The condition of existence of the limit at

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A: Therefore, the required answers are a) 117.694561 degreesTo get this in radians, multiply it by…

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A: The given function is

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A: C=1/7Explanation:

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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…

Q: PLEASE ANSWER THE QUESTION ACCORDING TO INTERVAL NOTATION. AND PLEASE WRITE THE ANSWERS AT THE END…

A: a) (−23pi​,−2pi​)b) (0,0)c) (0.57,0.07904)d) (−6.18,−pi)∪(0,0.57).Explanation:a. Given the function…

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A: Greatest Integer function: The greatest integer function is a function that results in the integer…

Q: Q4\ Sketch the plane curve represented by the vector valued function = (3 cost)i(4 sint)j ŕ(t) NA…

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Q: Do not round until the final answer. Then round to the nearest cent as​ needed.

A: A thorough explanation is provided below.   Explanation:                                  So, the…

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Q: Find the partial derivatives of the function მა მო მო მs მო Ət w = 9r2 + 3s2 + 32 G

A: ∂r∂w​=9r2+3s2+3t2​9r​∂s∂w​=9r2+3s2+3t2​3s​∂t∂w​=9r2+3s2+3t2​3t​     Explanation:

Q: (a) Graph each of the following functions on the same screen, using the viewing rectangle [0, 1,…

A: for question a see the attachment for explanation and answerafter plotting the points on the graph…

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Q: Q.2

A: The answer is given below.Explanation:

Q: 8sin 75 = 4

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Q: > #11 Given z = f(x,y) = 3xy , у find the equation of the tangent plane to the graph, when x=1, y=3.

A: Equation of tangent is z=4x−34​y−2Explanation:

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

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A: answer is attached below if you find it helpful please provide the same Explanation:

Q: 2 Find the point on the sphere x²+ y²+z²=4 farthest from the point (1,-1,1)? ans.i- 2 (금) v i

A: Let the point  on the sphere which at largest distance from the point By using distance formula Let…