Given f(x, y) = 2x² + 6xy³ + 4y5, find the following numerical values: f(3, 3) = 4. f₂(3, 3) =

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Q: Given the points A: (-5,4,0) and B: (2,-2,4), find the vector u = AB ú=< -3 X 2 X 4

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Q: Let y = (x² + 5)5. Find the differential dy when x = 3 and dx = 0.5 - Find the differential dy when…

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Q: Consider the following vector function. Find each of the following. r'(t) = = r'(0) r(t) = cos(t) i…

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Q: The perimeter of a rhombus is 68 inches and one of its diagonals measures 30 inches. Find the area…

A: Topic = Geometry

Q: Let a = - 2ỉ - 4j – k and b = 4j + 2k. Find — ả + b. V

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Q: 12 1층 1 + du 6

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Q: Assume that x and y are differentiable functions of t. For the following, find dx/dt given that x =…

A: given  x2+y2=136d dx(xn)=nxn-1d dx(constant)=0

Q: Find √ √1+x²dx

A: To find out the integration.

Q: Find the derivative of the functio y = sin ¹(6x + 1) y' =

A: Given: y=sin-16x+1

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Q: [5-A] [CLO 12] The line ℓ passes through the points (−3, −4) and (5, 1). Give an equation for the…

A: Given: The line l passes through the points -3,-4 and 5, 1. The objective is to find the equation…

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Q: Evaluate the limit sin 5x lim 10 sin 2x

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Q: 1 2 √x² x + 10x + 61 S -dx =

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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: Find the arc length of y = 4x + 1 on 0 ≤ x ≤ 2.

A: Recall the formula: ddxconstant=0ddxx=1∫dx=x+C

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density…

A: The given region is: D= x,y | 0≤y≤sinπxL, 0≤x≤L  ρ(x,y)=13y

Q: At which points on the curve y = 1 + 60x - 2x does the tangent line have the largest slope? smaller…

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Q: 5 The curve y = -5 x³ + x² + x + 1 "Trident of Newton". y 7 1 X 1 y= is known as the x³ + x² + x + 1…

A: To find the coordinates of the point where tangent to curve is parallel to y=2x.

Q: Find the surface area of revolution about the 2x + 2 over the interval x-axis of y 1 < x < 4.

A: y=2x+2, 1≤x≤4 Differentiating with respect to x, we get dydx=21+0=2

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 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: Evaluate the limit sin 8x lim x 0 sin 2x

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Q: For the formula at the given point, find the equation of the tangent line 5. y = x²e* at the point…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Question 21 Suppose that is differentiable function and f'(r) 2 2r-1 for all are R. If f(0) = 1,…

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Q: Write a rational function whose graph is shown below. -1 + 2 0 -2- T 1 1 + 2 F L 3 + 1 (4,0) 4 1 -10…

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Q: Draw an accurate diagram of what follows and find resulting distance to the port: A ship sails on a…

A: Please see the below picture for detailed solution.

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Given curves: y=x4, y=1 To find: Volume of solid obtained by rotating the region bounded by the…

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

A: Solved below

Q: Find the value of x on the graph of y = x² where the slope is 16. (a) 4 (b)-4 (c) 2 (d) 8

A: To find the value of x on the graph of y=x2 where the slope is 16.

Q: Evaluate the integral. cos y dy 2 sin y + 3 siny-4 S

A: To evaluate∫cosysin2y+3siny-28dy

Q: A function and the graph of a feasible region are given. f = -x + 5y 12 8 y (5,10), 4 8 (10,6) 12 x…

A: Maximum and minimum values of the function can occur at corner points.

Q: Find the derivative of the function. s = 8 t

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Q: [3-R] [CLO 14] Is the following set a function? Briefly justify your answer. M

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Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A: We have to find the monotone intervals and relative extremas.

Q: 15 sin ¹√2x dx = [

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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

Q: h(x)=5.5x-3.42

A: We have given a polynomial  hx=5.5x-3.42 Leading term =5.5x

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: A ship sails on a heading of 240° for 80 km. It then goes on a heading of 140° for 110 km. Determine…

A: To solve the problem, we can use the law of cosines, which relates the lengths of the sides of a…

Q: The​ short-term demand for crude oil in Country A in 2008 can be approximated by q=f(p)=2,443,225p…

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Q: nf is shown. f'(x) 6 X nter your answer using interval notation.) Enter your answer using interval…

A: We have to find the intervals such that function is increasing and decreasing according to the given…

Q: 2 Find the average height of the paraboloid z = x +y over the square 0 ≤x≤ 1,0 ≤ y ≤ 1

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Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

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Q: Question 16 ( Find the slope of this line. Part 2- Full solution problems. A line with positive…

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Q: - 49 -dx = X (Type an expression using x as the variable.)

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Q: volume of the solid formed when the region bounded by y = x and y = = x¹ is rotated about the…

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Q: Consider the center of mass of the following. A lamina occupies the part of the disk x² + y² ≤ 9 in…

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