√X 'csc²yox - √x sinydy =o • Find the general solution of e

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Q: and- I need a clear answer by hand, not by keyboard | dybala Determine the general solution for the…

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Q: 1. Find the solution of the IVP ty' = y +t³ sin(2t) – t³, y(t) = 3/t¹.

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Q: Find y' if y = x²cosx A. 2x cos x + x² sin x B. 2x sinx-x² cos x C. 2x cos x - x² sin x D. 2x sinx +…

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A: SOLVE THE GIVEN

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Q: 2.  Evaluate the integral. 7 5 dx (x − 6)2   please hsow step by step clealry

A: Given Expression: ∫57x-62 dx

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Q: Evaluate the definite integral. */4 sin(t) cos² (t) 6. dt

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Q: Find the following limits: 1 1 5+x 5 x a. lim: x-0 b. x²+1 lim x-1- |x-1| C. -2x lim x +∞ √9x²-3

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A: Given tangent line is .... f(X)= X3 +4X       and slope = -1  f1(x) = ddxx3+4x         = 3x2+4 M =…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) force e (9 + 7e ³/2 dr

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Q: Sketch the graph of a function f for which f(0) = 0, f'(0) = 3, f'(1) = 0, and f'(2) = -1. y y -1 -1…

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Q: 21. f(t) = 4t 10

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Q: 4) Given that lim f(x)=3, what is the value of lim (2 f(x)-5) ? x-4 x-4 A) 3 B) It doesn't exist C)…

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Q: Determine the solution xy³ dx + ye of the 1st Ordered Differential Equatio *dy = e*dy

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A: Concept: Cosine rule: c=a2+b2-2abcosγ Sine rule: sinγc=sinθa

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Q: EXAMPLE 5 Find an equation of the tangent line to the parabola y=x²- 8x +9 at the point (2, -3).…

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Q: 2. A curve is defined by f(x) = a√√x+b, where a and b are constants. the point (4, 6), determine the…

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Q: Evaluate the integral. 6 t² sin(2t) dt

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Q: 5 Spending on travel and tourism (in billions of dollars) for the years 1991-2009 is given in the…

A: Concept: Power function: A function having a single term that is the sum of a real number, a…

Q: 3. Verify Clairaut's Theorem on by showing fry=fyx. f(x, y) = 4 x² + y² + 2

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Q: If y = √4x²+2sin-¹ A. 2-x 2+x A. 0 B. 2+x 2-x ,then y' equals, C. . Find d if y = arcsin√2x +…

A: Topic- Derivative of a function we are given y=4-x2+2sin-1x2and y=arcsin2x+arccos2xwe know…

Q: If f(x)=x²+2x-4, find f(x+1) and f(√2)

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Q: A ladder 15 ft long leans against a vertical wall. If the lower end is being moved away from the…

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Q: 2. Consider the equation du = -0.5y²(y² + 1)(y² − 4)(y + 1)esin y (a) Find all equilibrium…

A: To find the equilibrium solution of the differential equation , set the differential equation to…

Q: 1. Three vectors in space are given as K = 3x + 2y + 42 L = 2x - 3y + 2 M = -x - 4y in cartesian…

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Q: Find the solution of the differential equation that satisfies the initial condition y(1) = −7. 0…

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Q: Solve the following differential equation: 4y'' +12y' + 9 = 0

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Q: Q₁ Find the angle between every two vectors below ( Vate b) f-3i+2k and g=4i+4j-2k

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Q: Determine the acute angle, in degree measurement, between the planes 2x+2y-1z = -3 and 5x+3y + 2z =…

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Q: 9. Figure shows a container for water, ABCDEF, in the shape of a triangular prism. The cross-…

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Q: Use the given graph of f to find a number & such that if |x-1| < 8 then [f(x) - 1|< 0.2. 8 = 1.2 y 1…

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Q: e the integral: [₂³ 1 A r² dr

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Q: 3) If x³ ≤ f(x) ≤ x for x in [-1,1], find lim f(x) if it exists. x-0

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Q: Show that xzxx + yZxy = y²Zyy if z = xy + yln(xy)

A: Given, z=xy+y ln(xy)

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Q: Consider the graph below of the function g(x) to evaluate the integrals The graph consists of two…

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Q: Find y' if y= 48x³+34x2-8x+15 (4x-1)² 48x³+34x²-8x+33 (4x-1)² If y = 3u² - 2u + 4 and u = x² + 3x -…

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Q: Question 16 of 30 Step 1 of 1 01:28:22 You just bought a fish tank that is 27 in. long, 24 in. wide,…

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Q: Laplace (d^2y/dt^2) + 6(dy/dt) + 9y = cost y(0)=1, y’(0)=2 What is Y(s) and y(t)

A: We know the following. L{y''}=s2Y-sy(0)-y'(0)L{y'}=sY-Y(0)L{y}=Y Now,              y''+6y'+9y=cos t,…

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Q: Derive a Differential Equation that is free from arbitrary constants: y = C₁x + C₂e-*

A: Here is the solution:

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Q: Iculate zu for z=₁₁₁x = e Z X 2u cos(3v), y = e²usin(=

A: We are given  z=2x-yx+3y, x=e2ucos3v, y=e2usin3v we have to evaluate zu=∂z∂u