Find the derivative of the function at the given point in the direction of A. f(x,y,z)=2x-4y+7z, (-9,6,-8), A=3i-6j-2k

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Q: Let a = - 4i +3j - 5k and b = 5i +2jk. Find - 2a - 36. V

A: a→=-4i+3j-5kb→=5i+2j-kC=-2a→-3b→

Q: ts, Consider the ellipse 4x² + 2xy + 2y² = 88. (a) The derivative on this curve is dx dy dx…

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Q: Consider the curve r(t) = (6 cos(t), 6 sin(t), e), 0 ≤ t ≤ π. Find r'(t). r'(t) = Consider the plane…

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Q: Find the extreme values of f(x,y) = 4x + 6y subject to the constraint x² + y² = 13. 2 OA. The…

A: Question Find the extreme values of f(x,y) = 4x+6y subject to the constraint x2+y2=13

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Q: Determine the PDE of all surfaces cutting the family of cones given by x²+y²-a²z²=0

A: The family of cones given by the equation:   x^2 + y^2 - a^2*z^2 = 0

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Q: Suppose a product's revenue function is given by -8q² + 800q, where R(q) is in dollars and q is the…

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Q: Given u = 2 – 8j and d =−8+3j, find | + ả| and || + ả Give EXACT answers. You do NOT have to…

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Q: Find a formula for the n" partial sum of the series 5- th The formula for the nth partial sum, s of…

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Q: (a) Use differentiation to find a power series representation for 1 (6 + x)2 f(x) = f(x): 00 Σ n = 0…

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Q: 21. A one-sided limit can be used to determine the behaviour of a graph on either side of a 22. A…

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Q: Differentiate. h'(0) = h(0) = 0² sin(0)

A: Derivative

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Q: Suppose a product's cost function is given by - 3q² + 800q, where C(q) is in dollars and q is the…

A: The details solution of the given question is given below in step 2.

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Q: x ». Let g(t) be the function whose graph is given below. Let G(x) = g(t) dt, 0 ≤ x ≤ 5. Where does…

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Q: V 5 4 3 2 1 -1 -2 -3 -4 The graph above shows the base of an object. Compute the value of the volume…

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Q: Let a = (5, 1, 0) and b = (2, – 4, − 1).

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Q: The area under the curve of the function f, using the Riemann sum, will be exact if we let the n or…

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Q: Let f(x) = x² 50x² – 8. Calculate the derivative f'(x) = Calculate the second derivative f"(x) =…

A: Please see the below picture for detailed solution.

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Q: You are designing a rectangular poster to contain 32 in² of printing with a 2-in margin at the top…

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Q: Solve the given differential equation. 3ydx - 3xdy + xdx = 2dx

A: 3ydx-3xdy+x9dx=2dxwe know ∫xndx=xn+1n+1+cd dx(yx)=xdy-ydxx2

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Q: Given f(x, y) = 100x + 80y - 2x²- 4y² - xy Evaluate f(10, 9)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 3. Use the Gizmo to experiment with more functions of the form y = b*. Select the Show probe and…

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Q: A tepee has a circular floor with a diameter of 4 meters. What is the floor's circumference? typed…

A: Given :  A tepee has a circular floor with a diameter of 4 meters. Find :  What is the floor's…

Q: Name the method by determining whether I'Hôpital's Rule should be used or not. CSC x lim x+0+ √x

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Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated…

A: If x=c is a critical point of the function f(x) if f(c) exists and if either f'(c) =0 or f'(c) does…

Q: In this problem, p is in dollars and q is the number of units. Suppose that the demand for a product…

A: Given: Demand for product is given by 2p2q = 30000+9000p2, where p is in dollar and q is the number…

Q: what about b, thanks

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

A: Given:-  The solid obtained by rotating the region in the first quadrant bounded by the curv x = 0,…

Q: Use the Method of Undetermined Coefficients to find a particular solution to the equation and the…

A: The given differential equation: y''+3y'+2y=4x2-3ex ; y0=9, y'0=5

Q: Find an equation of the tangent line to the curve at the point (1, -1-). y = x³e-x y =

A: To Find: Tangent line to y=x3e-x, at point 1, 1e

Q: The derivative of a function is given f'(z) = (2²-21-8)g(x) for some unspecified function g such…

A: The first derivative of a function is given by fx = x2-2x-8gx,   gx>0 To determine: The point…

Q: As a graduation present Natalie received a sports car which she drives very fast but very smoothly.…

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Q: Instagram has a revenue function of R(q) = 5q 2 − 10q+ 600 and a cost function of C(q) = 3q 2 + 200,…

A: Note: As per our guidelines, we are supposed to answer only one question with a maximum of three…