Calculate all four second-order partial derivatives of f(x, y) = 2x²y + 4xy³. = || = )= ||

Q: 32. The vectors (6, 4) and perpendicular. Find k.

A: Given that the vectors are perpendicular

Q: Parameterize the line segment that starts at (3,2) and ends at (-10,5).

A: I am attaching image so that you understand each and every step.

Q: Q1: Find the divergence of the function G(x, y, z)= P(y, z)i + Q(x,z)j + R(x, y)k where i, j and k…

A: Solution : Given function is

Q: 12. Find the area of the region bounded by the graphs of f(x) = sin x and g(x): = cos x, for π/4 ≤ x…

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Q: (2,-4) (0,-6) . Assuming that f(x) is of the form A · Bª, write an expression for f(x): f(x) =

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. 1 y=…

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Q: (a)e²x dx.

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Q: A ladder 10 ft long rests again a vertical wall. If the bottom of the ladder slides away from the…

A: We can solve the given problem by using the concept of derivatives.

Q: 1. Consider the expression √2+√√2+ √2+ √2+.... (a) The recursive sequence an+1 = √2+ an with ao = √2…

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Q: A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The material…

A: A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The material…

Q: c) = 5) =

A: Topic:- application of derivatives

Q: The differential equation exy' + 5x³y = (3x - In x)y-³ is a Bernoulli's equation. Select one: True O…

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Q: 5- find a, b and C if w= a.tan (x²+1)_baxy + cryin (z) t-2 and Z=2t²_ze 2 x= zt², J = ze wy =…

A: z = 2t2 - 2et-2  At t = 2, z = 8 - 2 = 6 dz/dt = 4t - 2et-2  At t = 2 dz/dt = 8 - 2 = 6 x = zt2  x =…

Q: Find the points of local and/or absolute maximum and minimum for the function f(x)=√9-x over [1,9].…

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Q: Without​ graphing, determine whether the following equation has a graph that is symmetric with…

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Q: The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in…

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Q: Find the local linear approximation of the function f(x)= square root of (1+x) at x0=15, and use it…

A: Linear approximation at x = a, L(x) = f(a) + f'(a) (x -a)  Therefore, the linear approximation of…

Q: (b) / 54x+7 dx

A: Topic :- application of integration

Q: 256√√3 4-52.4 4√√2 3 - ANZ 20

A: Topic:- application of integration

Q: A hexagon is a six sided regular polygon, or a 6-gon. Repeat the process above for inscribing a…

A: We have to find the area of hexagon.

Q: Determine whether the following statement is true or false: If both matrices A of the size 3 x 3 and…

A: Giben data÷ A is an invertible (non singular) matrix. B is an invertible (non singular) matrix. Size…

Q: O 8e²-4e-4t ○ 4e²¹-8e-4t Ninguna correcta • u = x(4+ y²), x = e³t & y =

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Q: (x) x + 1/2 Ax² + Bx + C (x² + D)²

A: Topic:- application of derivatives

Q: A quadratic function f is given. f(x) = x² + 4x + 3 (a) Express fin standard form. f(x) = (b) Find…

A: Let's find standard form , x and y intercepts, vertex, domain and range.

Q: Determine the required integrating factor: y'=x-2y cot (2x) O sec (2x) O2cos (2x) O2cot (2x) O sin…

A: y' =x-2ycot2x

Q: Find the indicated midpoint rule approximation to the following integral. 2 -X Se dx using n = 8…

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Q: 5. Find a derivative of an exponential function. 2x y = e 2x e^+1 е

A: Solve for the derivative

Q: Consider a third-degree polynomial f(x), which has the properties f'(1) = 0, f'(3) = 0. Can there be…

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Q: Question Find the Taylor polynomial p3(x) for f(x) = 4e at x = 1. Sorry, that's incorrect. Try…

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Q: 112 15 ket is being launched. After a while, it rises at a constant velocity of 5 miles per second.…

A: Given query is to find the rate of change of height.

Q: 2-x The function f(x) = has x²-6x+5 two Vertical Asymptotes and one Horizontal Asymptote Select one:…

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Q: A Norman window has the shape of a rectangle surrounded by a semicircle (thus the diameter of the…

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Q: A particle starts by moving to the right along a horizontal line; the graph of its position function…

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Q: Sketch the curve of the following:  y = 1 + 1/x + (1/x2)

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Q: (5y²+3 x)dx+7 xydy=0 (*) a) Determine whether the given differential equation (*) is exact SM-Nx -dx…

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Q: A piece of cardboard measuring 10 inches by 12 inches is formed into an open-top box by cutting…

A: Volume

Q: Is x+1 a factor of 5x^4+2x^3−2x^2+3x+1​?

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Q: 10. Find an area between two curves of the given equations. 3 y=-x ²³+2, y=x-3, X=-1₁ X= 1

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Q: Consider the Initial Value Problem: y' = 3y + x - 3, y(1) = -2. An approximation of y(1.2) with step…

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Q: Find an Indefinite Integral. Show all your work 3x-4 dx X

A: Topic - Indefinite integral We are given ∫x3x-4dxwe know that∫xndx=xn+1n+1+C

Q: Show the approximate location on the unit circle of P(t) for the given V t = P(t) = 27π 2 t = P(t) =…

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Q: Consider the image below. -12-10-8-6-4 4 2 FJ -16-14-12-10-8-6 A)-2 B) 0 8+ 64 A)-2 B) 0 41 24 0 -2…

A: Given that graph of fx and gxSolution :10.limx→-3+ fx+gxlimx→-3+ fx  +lim     x→-3+ gx-2+2=0option B…

Q: A cylindrical tank with radius 5 m is being filled with water at a rate of 4 m³/min. How fast is the…

A: Let's find height of the water increasing rate.

Q: Given s(t)=4t+8​, where​ s(t) is in miles and t is in​ hours, find each of the following. ​a) ​v(t)…

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Q: What is the general solution to the equation a cos2x = 0? In the answers, n is an integer.…

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Q: A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is…

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Q: Coefficients Linear in Two Variables Obtain the particular solution when x=3 and y=7: (x + y −4)dx -…

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Q: For the function, do the following. f(x) = 3/1/2 from a 1 to b = 3. Approximate the area under the…

A: We have to find the area using the two methods 1)Riemann sum using 10 rectangles 2) using definite…

Q: Find the critical points in the domain of the function: y=4-x³-3 -3.x. If there are no critical…

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Q: 7. Evaluate Definite Integral 4 X/4 -4 3 dx

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