Find the general solution of (x+2y– 4)dx-(2x+5-y)dy=0

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

A: In order to find the critical values we need to differentiate f(x) with respect x and then equate it…

Q: af Given f(x, y) = In(6x² + 8y²) then %3D

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: The vector v has,magnitude, v=2angle, θ=0°

Q: A student throws a ball upward from a height of 48 feet, initially at 32 ft/sec. The function that…

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Q: The sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

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Q: 2. The function g(x) is defined for -3 sx< 3. The behaviour of g'(x) and g"(x) is given below. -3…

A: The function gx is defined for -3≤x≤3, The behaviour of g'x and g''x is given below. By using the…

Q: x²+1, xs1 f (x) dx if f (x) = 2, raluate x> 1 A) 10 20 B 3 12 8 D 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: mt) cos(r b) f(x) = /2r(4°

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: a- Described the order of integration when you have a double integration.

A: Simplify the theory.

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

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Q: 3dt 1. (2t+8) Vt+1

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Q: 4. (a) Show that the line l given by l: 1= 2+3t, y=1+4t, z= 5+ 2t, te R, lies in the plane II given…

A: Given problem:- Show that the line  given by   l : x = 2 + 3t , y = 1 + 4t , z=5+2t ,t in R   lies…

Q: 1„2 The graph shown is f (x) = ±x². 4 3 21 1 54 3-2 -14 1 2 3 4 5 -2 3 4 If g(x) = `f(t) dt, what is…

A: This is a problem of antiderivative function. Based on the general formula we will answer the…

Q: 2x + 5x 1. Ar + Ba + Cz² + D¤ Consider the function f(x) = An antiderivative of f(x) is F(z) where A…

A: Answer is solved in step 2 using integration.

Q: If C is the line segment from (1, 5) to, (0,0), find the value of the line integral: So(4y? i + 4x…

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Q: The integral of the given function ſ cos 3ydy is a. sin 3y +sin³3y + . sin³3y – sin³3y +sin53y + C…

A: Topic :- application of integration

Q: Find the general solution: dy = tanxtanydx %3D

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Q: 2 -3 sin x 2. Find + 4e*+3 dx. cos? x

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Q: 4. [V40-4v-v² dv

A: Please see the answer below.

Q: Question 7 Given f"(x) = 2z – 6 and f'(- 2) = – 4 and f( - 2) = 2. Find f'(x) = and find f(4)…

A: Given query is to integrate and find the function.

Q: 25x -9 – dx

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Q: Solve the differential equation. 4 + Vr du dr 5 + vu II

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Q: Find the gradient of the function at the given point. In(x2 - у) - 3, (2, э) Vz(2, 3) = %3D

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Q: 4. V40-4v-v dv

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Q: Si x³VI+x* dx? After substitution is performed, what is equivalent to 82 4 vũ du 82 Vũ du 82 Vu du 4…

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Q: 6x4-5x3 +4x2 - 3x + 27 dx. Find 2x2

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Q: a) Find the degree 4 Taylor polynomial T(x) for the function f (x) = 2e" centered at the point a 3.

A: Given that fx=2ex  centered at the point a=3we defined the nth taylor polynomial centered at x=a Tn…

Q: Given: -8 17 cose = 15/17 -8/17 8/17 -15/17

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Q: Given the following vectors, add the vectors and find the magnitude and angle of the resultant…

A: 4. Given, v=(5,9) u=(-5,-9) According to given, Resultant(R)=((5-5)²+(9-9)²)1/2 R=0 Angle is given…

Q: Integration by Trigonometric Subshtunon Jx(x?_ax+4) $12 XP

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Q: AVERAGE VALUE OF THE FUNCTION QUESTIONS PT. II A. y = 3cos(x)-5, [--pi, pi] B. y = 3ex + 4, [0, 3]…

A: We need to find average vale.

Q: Find all solutions to the equation. 2 sin 0+/2 =0 Write your answer in radians in terms of t. TC…

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Q: How do you take the integral of 2 * sqrt(t^2 + 1) ?

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Q: 8. Below is the graph of Se)%3Dx+x-5x+3: a) Find the zeros. b) For each zero use synthetic division…

A: Topic:- calculus

Q: 40- 4v-v dv

A: ∫xn dx =xn+1n+1+C ∫cos(ax) dx =1a sin(ax)+C

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: dy = (Type an integer or a simplified fraction.)

A: Topic:- double integration

Q: Find the limit of s(n) as n 00. 1 n(n + 1) s(n) 2

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Q: A tractor pull contest is held at a county fair. The tractors in the contest pull a sled on which…

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Q: (b) Use implicit differentiation to find when Sr' + ry - Se'g

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Determine if the given function is on the given interval Continuous

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Q: Consider the parametric equations below. x = 1+t, y = 1 - 3t, -2sts 3 (a) Sketch the curve by using…

A: Consider the parametric equation  x=1+t,y=1-3t,    -2≤t≤3

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

A: topic - application of derivatives

Q: 1. Find the radius of convergence and interval of convergence of the series. (a) (-1)"(n+1)"a²" n=1

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Q: A copper ball is heated up to 100°C. It is then placed in a water whose steady temperature is at 25…

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Q: Directions: In implicit differentiation, we differentiate each side of an equation with two…

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Q: 2. State the domain, range, asymptotes and graph the following function 4x-3 x+4 lity: Investigate…

A: Given query is to find domain range and asymptot of the function.

Q: 3dt 1. J (2r+8) fr+1 Suv-2+1 ¢v 25x -9 dx 3. 4. V40-4v-v dv

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