21.3 xdx V16 - 9х4 0.

Q: Given f(x, y) = 6x?y then the total differential df = %3D 12аy dx + 6x? dy O 2xy dx + x² dy O None…

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Q: Consider the function f(x) whose second derivative is f''(x)=8x+8sin(x). If f(0)=4 and f'(0)=4, what…

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Q: Question Use the First Derivative Test to find the location of all local extrema for the function…

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Q: Solve the following items and show your solutions. a.) Find the general and particular solution of…

A: x dydx+2 y =4x2dydx+2x y =4xComparing with Bernouli's equation;y'+P(x) y = Q(x)P(x)=2x, Q(x)=4x

Q: 1. write the slope-intercept forms of the equations of the lines through the given point (a) paralel…

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Q: (b) Draw the graphs of the solution and of the forcing function; explain how they are related. [1, 0…

A: Given

Q: The region bounded by the given curves is rotated about the Specified cukis. Sketch the region and…

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Q: g(x) = e× In x12 g'(x)=

A: topic - derivative of a function

Q: Find the dot product of the following vectors u and v. %3D

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Q: S4tan3 (пх + 1)dx

A: ∫ 4tan3πx+1dx=4·∫tan3πx+1dxLet u=πx+1.=4·∫tan3u1πdu=4·1π·∫tan3udu=4·1π·∫-1+sec2utanuduLet…

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

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Q: dx x'+3 Xん X

A: We have to solve the integral.

Q: 2t2 + 38 sinh 16t

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Q: Find the maximum value of the function f(x) = x3 - 9x2 + 15x - 5.

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Q: Find the gradient of the function at the given point. f(r, y) = 3x+52 +1, (2, 1) %3D O 3i+10 O 3i+5j…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: Where is the function decreasing? * (-1,3) (-2,1) (0,1) O (*-1) O (*, *) O (-1, ) O (-*, 3)

A: A function is said to be decreasing in an interval in which on increasing the value of x, the value…

Q: hFind the gradient of the function at the given point. W = x tan(y + z), (19, 4, –1) Vw(19, 4, –1) =

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Q: A function f(x) passes through the points (15,24), (18,37), and (22,25). Use Newton's Divided…

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Q: EVAUATE FL) OF TRE DIFF ERENTIAL EQUATION AT zEto NITI AL CONDITONE. oit

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Q: Г(81)

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

Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

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Q: Find an equation of the tangent line to the graph of f(x) = xe−x at its inflection point.

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Q: Determine the horizontal asymptote of the function. If none exists, state that fact. f(x) =5 e 4x…

A: Given function is: f(x)=4e4x

Q: dy - (x- y + 1)'dx = 0

A: The objective of the question is slove the differential equations.

Q: Evaluate using Linear Equations. v(dv/dv)=6ve"+x(2v-1) O xv-(3v²+C)elt O None of the choices O…

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Q: Determine whether P = and Q = are orthogonal vectors. If W = and V =, compute V x W. If W = and V =,…

A: Explanation of the answer is as follows

Q: 1 EVA LUATE ECs) OF THE DIFF ARD 4(0)-0. dy dt² dt

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Q: Which of the following is 2 equivalent to tan x + cot x where x = -? 2 sin 0 2 sin 0 2 Option 1…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Use the gradient to find the directional derivative of the function at P in the direction of v. g(a,…

A: Let's find.

Q: dy Find and simplify whenever possible. dx secx+tanx 1. y sec x-tan х

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (9, 5, -1) Vw(9, 5, -1) =

A: Explained below

Q: Consider the function y = 5x4-4x3-3x2+8x-12. What is the average value of the function on [-3, 1] ?

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Q: First of all, what is the difference between implicit and explicit? How does it apply to our…

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Q: What is the value of the trigonometric expression below? * sin 0° + sin 1° + sin 2º + sin 3º + ... +…

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Q: S x³et*dx

A: A detailed solution is given below

Q: Let à =, B = and Č = a) (à · B)č b) Ả · (2C) Find C)

A: A→=1,-2,3, B→=0,2,4, C→=5,-1,-3a)…

Q: At a point 160/3 feet from a building, and in a horizontal line with its base, the angle of…

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Q: 7. (D+ 3)'y = 15x'e-3* 8. (D- 4)'y 15x²e**. 9. D (D – 2)²y = 16e2 10. D2(D + 3)²y = 9e-3x 11. (D² –…

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Q: t3 sin 8t

A: Given problem:- t3 sin(8t)  To find:- Laplace Transformation of given function

Q: find the derivative dy/dx of the functions xlny+ylnx=1

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Q: Solve the following initial value problem. dy 1 --X, x> 0; y(6) = 3 dx x2

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Q: Find the complex zeros of the following polynomial function. Write f in factored form. f(x) = x° -…

A: Here we have to factorize the given cubic equation.

Q: A CAT scan produces equally spaced cross-sectional views of a human organ that provide information…

A: Given information:  The x-sectional area of liver is given at interval of 1.5 cm. Note : The figure…

Q: After a rest of 20 minutes the hikers ascend into a steep climb, still following the trajectory of…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: ocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial…

A: We are asked to find the height of the Rocket

Q: -8e4t* + 2e6t cos 2t

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Q: 4. DETAILS LARCALC11 11.5.056. Find an equation of the plane with the given characteristics. The…

A: Let's find.