Given f(x, y) = 4x5 - 3xy¹ + 2y³, find the following numerical values: fr(2,4)= fy(2, 4) = Question Help: Video Calculator Submit Question

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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: 3. a) Find the limit of the sequence an = (2n²+3)(n-1) n(n² + 1)

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Q: Suppose the demand for a certain brand of a product is given by ​D(p)=−p^2 / 416+450​, where p is…

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Q: Find the average rate of change of f(x) = x² from x = 1 to x = 4. (a) 3 (b) 5 (c) 15 (d) 6

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

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A: Given: F=7y dx - 7x dyand Let  x= cos t,   y= sin t    ⇒   dx = -sin…

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Q: Let a = 7i+j and b - 67 - 7j. Find a - b .

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Q: Find parametric equations of the line that contains the point P(3, 1,-2) and intersects the line L:…

A: The solution is shown below-

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: Find the absolute extrema if they exist, as well as all values of x where they occur, for the 7+x…

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Q: Sketch-the-graphs.y = x² + 1, y = -x² + 2x + 51

A: we need to sketch the graphs of the function.

Q: Evaluate the double integral. √ 9x (25+ y²)-¹dA; R R is the region in the first quadrant enclosed by…

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Q: Find the absolute maximum and minimum of the function on the given domain. f(x,y)=2x² + 7y² on the…

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Q: Find the volume of a pyramid with height 29 and rectangular base with dimensions 3 and 8 using…

A: Let h be the height of the pyramid, and l and w be the length and width of the pyramid. Note that,…

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

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Q: Find the absolute maximum and absolute minimum values of the function over each of the indicated…

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Q: Evaluate cos (8x) sin-2 (8x) dx. S cos ³ (8x) sin-2 (8x) dx =

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Q: The vectors [.. -9 are linearly independent if and only if k # ū -4 4 13+ k_ " -3 7 16

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Q: Find the particular solution to the given differential equation that satisfies the given conditions.…

A: Given differential equation:- x2+y28dy=7xdx+ydy

Q: Find lim f(x) if, for all x > 1, x → 00 4 12ex - 24 4ex X 3√x √x-1

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Q: Given the points A: (-6,-4,2) and B: (3,-2,0), find the vector u = AB

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Q: Let a = (0, -4, - 3) and b -4, -3) and 6 = (-2, 1, 0). Find the angle between the vector (in…

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Q: The radius (R₁) of one ball bearing is 1.0 mm greater than the radius (R₂) of a second ball bearing.…

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Q: Use a differential to approximate. (Give your answer correct to 4 decimal places.) 4(3.98) (3.98)² +…

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Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate…

A: Given function is:fx=-0.001x2+4.2x-80We have to find the absolute extrema of the function.

Q: Question 18 ( has exactly Show that the equation one real solution. 207e +2023 In z=7²4

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Q: In this problem, p is in dollars and q is the number of units. (a) Find the elasticity of the demand…

A: Given: p+8q=240

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? *x+9² [1,…

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Q: a) Suppose that lim n-00 ∞ The series Enan n=1 an+1 an 1 == 2 converges ✓ by the ratio test <

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Q: The cost of producing x bags of dog food is given by C(x) = 900+√700 + 50x²-x where 0≤x≤ 5000. Find…

A: The cost of producing x bags of dog food is given by Cx=900+700+50x2-x, where 0≤x≤5000. To find the…

Q: Given c = - 2 + 10j and u = -107 + 3j, find |e+u and le| + |ú. Give EXACT answers. You do NOT have…

A: I have solved step by step in detail....go through the solution

Q: A tank contains 500 gallons of salt-free water. A brine containing 0.25 lb of salt per gallon runs…

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Q: 12 1층 1 + du 6

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Q: The cost of producing x bags of dog food is given by C(x) = 900+√700 + 50x²-x where 0≤x≤ 5000. Find…

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Q: The number of visitors P to a website in a given week over a 1-year period is given by P(t) = 115 +…

A: Solution: Given data, P(t) = 115 +t-83e0.02t where t is the week and 1≤t≤52.…

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

A: Need to write down the method to determine that l hospital is applicable or not.

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A: given diagram of polar region

Q: Q12 Construct the equation of the line passing through (0, -2) and (3,5).

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Q: Given the vector u = (-5,4), find the magnitude and angle in which the vector points (measured…

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Q: Use logarithmic differentiation to find the derivative of the function. y'(x) = y=(√x)⁹x

A: The given function is: y=x9x

Q: Q16 A helicopter is rising straight up in the air. The distance from the ground t seconds after…

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Q: Sketch the region of integration and convert the polar integral to a Cartesian integral or sum of…

A: Please see the below picture for detailed solution.