Find the homogenous liner equation  y = x2sinx + e5x

Q: 1.) dy dx 2x-y² 1+2yx = 0

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A: Let's find equation of boundary layers.

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Q: Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.) f(x) =…

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Q: Compare the the planes below to the plane -5x + 5y - 5z = 0. Match the letter corresponding to the…

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A: Given: m(t) = 26.4+0.4t - 0.001t2 where M(t) is measured in kilograms and t is days since May 25.…

Q: y = -14x+49. X-7

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Q: Find values of cl and c2 so that the given functions will satisfy the prescribed initial conditions.…

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Q: Q1. Find the general solution for the following differential equation: -y² (x²ex² - y²)dx + xydy=0

A: Solution is given below:

Q: Find the solution of the differential equation (x + 3y)dx − xdy = 0. a. 2y - x = Cx³ b. 2y + x = Cx³…

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Q: 2. A circular walkway is to be built around a monument, with the monument as the center. The…

A: The equation of the circle with the centre   ( h, k) and radius r is given by      (x - h)2 + (y -…

Q: The rate at which the total average number of COVID cases is increasing at x=20 tents and dx/dt=2…

A: The given area is 21,600 square meter. One third of the area will be used to plant mango tree. The…

Q: Find a value of h for which y 3.0 2.5 2.0 1.5 1.0- 0.5 0.5 ƒ(2 + h) − ƒ(2) h 1.0 1.5 = 0. f(x) 2.0…

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Q: A hardware store purchased a tool at P20,000 per unit. At what price should the tool be sold so that…

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Q: The equation of motion of a particle is s= t3 - 27t, where s is in meters and it is in seconds.…

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Q: 3. For the curve y = x³ + 2x² + 4,Solve the equation of the normal line at point (-3,-5)

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Q: Q3. Use the chain rule method to find dt If (z=x. y), where x = cos (t) and y=sin (t)

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Q: Solve the problem. An object of mass m is dropped from a helicopter. Assuming that air resistance is…

A: Topic = Differential equation

Q: (√9x²–5x+1+3x). Evaluate_lim (√97²

A: Here we have to use the concept of the limits. I have appended formula used in the solution part

Q: y = √x = 1 -

A: Let us take f(x)=x-1. Now,            =12x-1x-1' =12x-1· 1=12x-1

Q: Identify and sketch the domain of f(x,y) = √4x²-y In x

A: We know, The function ln x defined for x≥0 The function x-a is defined for x≥a

Q: Consider f(x, y) = √x+y+√√x=y. Compute and sketch the domain of ?х '

A: We need to graph domain of ∂f∂x

Q: Find an equation of a plane containing the line r = (0, 4, 4) +t(6, -4, 2) which is parallel to the…

A: Given line equaltions:- r=0,4,4+t6,-4,2 Let b→ is vector in which given line directed ⇒b→=6,-4,2 and…

Q: 2. Given: f(x)= 5x² + 13x+6 |x+2| [4 - 3x] + x, if x < -2 if x ≥ -2 Determine if lim f(x) exists. If…

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Q: 3. f(x) = tan(sin x²) 4. y = log2 (5x³− x² + 1)

A: Given functions are  a. fx=tansinx2b. y=log35x3-x2+1 We have to differentiate both of them.

Q: Q5/ A: Solve the following differential equation by Laplace : dy d²y dx² , dx = −6, y(0) = 3 dx 4y=…

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Q: A = Γλ-4 0 0 X 0 0 2 3 A-1

A: Given :A=λ-4000λ203λ-1

Q: lim [[ 2-y]] + x2 z-k+zk _2-4h (!) Y→-2+ _zy + [[2-y]] y² +y-2

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Q: following limits, if they exist. lim (x,y) →(0;0) x³ + x²y + 2y³ x² + y² ;

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Q: Find the solution of the DE y' a. y² = -x² (1-In(kx²)) 2 In(kx) 1 y² = −x² (2 + ¹n(kx²)) 2 d. y² =…

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Q: Use a calculator to estimate the valuse of the limits correct to two decimal places lim h - 0…

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Q: The given table represents a pattern of exponential growth.   x      1        2          3 h(x)…

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Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: Question 5 of 14 > Determine f'(a) for a = 2.5, 4, 7. 5 4 3 2 1 SEP 19 y f'(2.5) = 1 2 3 4 5 6 789…

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Q: Given that f(x) = x² - 9x and g(x) = x -9, find: a) (fog)(3)- b) (gof)(3)=

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Q: In the following exercises, compute the antiderivative using appropriate substitutions, and state…

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Q: Write the Cayley table for the group U(15).

A: As per the instruction, we will be answering the first one.

Q: 2y + [[2-y]] -m √→-2²¯ y² + y -2 lim 2y + [[2-y]] Y→-2+ y² +y-2

A: Topic:- application of limits

Q: Determine f'(a) for a = 2.5, 4, 7. 5 4 3 2 1 y 1 234 567 89

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Q: Part I: Directions: Complete the table below. EQUATION CENTER 1. C(0,0) 6. 4. x² + y² = 64 x² + y² -…

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Q: 4. You have 20 ft of wire that you want to cut and fold into two different shapes, a circle and a…

A: Given length of wire = 20 ft

Q: 10 07 0 1 0 -5 0 1]

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Q: A circular walkway is to be built around a monument, with the monument as the center. The distance…

A: First of all make a figure with monument at origin and both boundaries.

Q: Solve the problem. dP =kP+N, where N is a constant representing the net The rate of growth of a…

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Q: 1. A single-lane street 10 ft wide goes through a semicircular tunnel with radius 9 ft. How high is…

A: Concept: As we know that the equation of the circle is represented by x2+y2=r2 Here y is represents…

Q: 1. Find the minimum amount of fencing required to surround a rectangu- lar area of 100 square feet.

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Q: 1 ƒ(4 + h) − ƒ(4) - X h (Express numbers in exact form. Use symbolic notation and fractions where…

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Q: 6S-4 Q4/A: 1- L-1. 52-48+16 B: Fit a second order polynomials to the data in the following: X 5 6 Y…

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Q: Exercise 3 nd the order of the following differential equations: a.) y" - 2(y")² = (y'-2y)³ d²y V…

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