2. -7-8X-x²

Q: Solve through Bernoulli's Equation: * - y = xy O y-l +x – 1 = ce¯* O y + x – 1 = ce"

A: The standard form of Bernoulli's equation is: dydx+Py=Qyn Where; P & Q is the function of x.…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

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Q: Find 4小1 机g:f el fof (メ= 区 x = 3x # S 3. f位)EX

A: We have to find the fog gof and fof functions.

Q: (x² + y) dx – xydy = 0 O 2y = x In cx2 O y? = x? In cx? O O

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Q: find the inverse laplace tramsform 3/(s-2)^2+4

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Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations hat are…

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Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations that are…

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Q: Find the most general antiderivative or indefinite integral. csc 30 de csc 30 - sin 30

A: The objective is to evaluate the integral.

Q: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), в(2, -1,…

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Q: (4) Consider the function f(r) = r +2- 36r +4. (a) Find the local maximum and minimum values. (b)…

A: As per bartleby guidelines we only give first question answers.

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: Solve for the following application of first order differential equations. Show your solutions. 5. A…

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

A: A detailed solution is given below

Q: Ina swimming pool measuring 90 m by 40 m, 150 men take a dip. If the average displacement of water…

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Q: What is the maximum value of f(x)= 2x4+16x3+40x2+64x+7 on [-8,-2]? a. -57 b. 4 096 c. -121 d. 2…

A: Given: fx=2x4+16x3+40x2+64x+7 ; x∈-8, -2   As we know that; The Power law; ddxxn=nxn-1

Q: E Homework: Section 4.7 Use the given zero to find the remaining zeros of the function. h(x) = x -…

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Q: Evaluate the following indefinit 4. Ssin'x cos*x dx

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Q: Direction: ate the following arbitrary constants to obtain the DE. а 3. y = () + bx

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Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

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Q: A number is one more than thrice the other number. What is the minimum product of the two numbers?…

A: Given query is to find the product of the numbers.

Q: An angle's initial ray points in the 3-o'clock direction and its terminal ray rotates CCW. Let θ…

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

Q: Use loganithmic differentiation to evaluate f'(x). 10 (x+2)" f(x) = (4x- 16)" %3D 11

A: Given problem:- f(x) = (x+2)10/(4x-16)11 To find:- Use logarithmic differentiation to evaluate…

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

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Q: Bernoulli's Equation Solve:

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Q: What is the amount of material in a hollow cylinder of height 20 cm, given that the sum of the…

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Q: . Find two vectors that are orthogonal to the plane containing the points P = (3,0,1), Q = (4, -2,1)…

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Q: A mass that weighs 8 lb stretches a spring 48 in. The system is acted on by an external force of 8…

A: Given

Q: Direction: Solve the following equations using separation of variables. 2. y' = x(1+ y²)

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Q: Funetion Values. Find Re f. and Im fand their values at the given point z. f) = 1/1-2) at 1- i 2) at…

A: Since we have the function                                             fz=11-z then we have to find…

Q: TOPIC: Applications of Integration Plane Area Area between curves Volumes of Solids of…

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

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Q: 1. (3x²+ 2y²)dx + 2xydy=0 2. (x- 3y + 3)dx + (3x + y + 9)dy = 0

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Q: der the following planes. 5x + 2y – z = 44 x – 4y + 2z = 0 (a) Find the angle between the two…

A: Angle between planes and line of intersection of planes

Q: 18. lim x+oo 3 20. lim log,

A: Given function f(x)=log12 x we write    log10 x=  log x     and we know thhat    log10 10=1

Q: What are the relative extrema of the function f(x)=x^3+3x^2-24x+7 a. relative minimum of -4,…

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 – 2xy + y²,…

A: Given: f(x,y)=x2-2xy+y2, (5,7,4).

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: We can solve the given problem as follows:

Q: Shasta was working at differentiating a function p(x) and they found that p'(0) = In Unfortunately,…

A: We will determine the value of the constant a as following.

Q: *5. Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

A: We need to use the approximated formula of area of the respective methods.

Q: t/3 cos e sin 20 de T/6

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Q: Solve the system by graphing each equation and finding the point of intersection. -12 + 6 x + 2 y -…

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Q: For an integral of the form f sin™(x)cos"(x)dx, saving one sine factor and converting the rest to…

A: Given data÷

Q: Direction: Find the differential equation of the family of curves described. 5. Circles with fixed…

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Q: Exact ODE y'sin2nx-nycos 2rx

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Q: (3 - 2 3 – 4cos dx

A: The given integration,     ∫3-4cosxπ2 dx

Q: 10. csc?e cot e1-5 cot 6 de ſ csc

A: Let's find.

Q: dx x'+3 Xん X

A: We have to solve the integral.

Q: Find the general solution for the following equation: y''' + 3y'' – 4y' – 12y = 0

A: Solve the differential equation by assuming eλx for some constant λ.

Q: Determine whether the planes are parallel, orthogonal, or neither. 4x – 20y – 4z = 4 3x – 15y – 3z =…

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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,…

A: To determine the point of intersection of the given line and plane.