Find the solution of the following DE. Show your complete solution 4.

Q: Solve (x + 2y − 1)dx + (2x+y+1)dy = 0 (y − 1)² + 4 (x + 1) (y − 1) + (x + 1)² = 0 (y + 1)² + 4 (x +…

A: Differential equation is of the form Mdx+Ndy=0, if ∂M∂y=∂N∂x then the differential equation is…

Q: Determine whether the series converges. Σk²e-k² The series

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Q: Use the limit definition of the derivate to find the slope of the tangent line to the curve.…

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Q: If f (x) = e sinx, then f'(x) = = A B C D e cos x -e* cos x e* (sin x + cos x) e* (sin x - cos x)

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Q: 42. Approximatesin (x²+1)dx by integrating the 6 th degree power series for the function centered at…

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Q: Consider the points A(3, 1, −2), B(1, −1, 0) and C(0, 2, 1). 1. (vector AB · vector BC) vector AC −…

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Q: Write an equation of the line containing the given point and perpendicular to the given line.…

A: Given line :2x + 9y = 5

Q: (dy/dx) + y cot(x) = - y cos(x) bernoulli differential equation

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Q: For the function f(x)=6/x, apply the definition of the derivative. Evaluate each of the following…

A: f'x=limh→0fx+h-fxh

Q: Eliminate the arbitrary constents 1 y = ex cc₁ cos 2x + C2 sinzx)

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Q: A loan shark lends you $90 at 2% compound interest per week (this is a weekly, not an annual rate).…

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Q: 10.2 textbook. the problem can be found in section (7) Find the arc length of the curve x(t) = t²,…

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Q: Find the general solution of 3 y" = 6x³ y' (6) = 2 y (0) = 1 TUNISINI + *292/

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Q: (3x²y − 1)dx + (x³ + 6y − y²)dy = 0 subject to y(0) = 3

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Q: 12. h(x) = sin x X

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Q: 1. Use the graph of f(x) to find each of the following. a. lim f(x) = x-0 b. lim f(x): X→4- C. lim_…

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Q: (2). 크 2 2 5

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Q: Problem 3: Determine the two-variable function F(x, y) if F₂(x, y) = xexy + y given that F(-1½ ‚Y) =…

A: Please see the below picture for detailed solution.

Q: 30. Determine the particular solution of the following differential equation: 6y' = (2x + 1)(y² - 2y…

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Q: π/2 cos(y) 1/6 So π/6 -y ㅠ y sin (y+z)dz dx dy

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Q: demand functions for a pineapple is given by p=-10x+15.  a.) find the revenue function b.) how…

A: Given query is to find the revenue function and price that maximize the revenue and the number of…

Q: If f(t)=√√²+2√√3³, find f'(t).

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Q: 5. x²y = 4x² + 7xy + 2y₁².

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Q: ) At an annual compound interest rate of 3%, how long will it take you to double your money?…

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Q: WWW 45. Convert the polar point (4, 5) to a Cartesian point. A. (-) B. (-) C. (2√3, 2) D. (-2,2√3)…

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Q: Write an equation for the polynomial graphed below y(x) = 4 3 2 1 1 2 3 Submit Question H a

A: We have given graph of the polynomial  From given graph  Zeros : x=-4,-2,3,4 y-intercept : y=2 Let,…

Q: Solve the following differential equation. 4. (2x¹-2x³) dr +(4x²-61²7+217²) dx=0

A: The given differential equation is: 2x2t-2x3dt+4x3-6x2t+2xt2dx=0

Q: g(x) = 2x-3 at x = 3

A: Given g(x)=x2x-3 at x=3Subtitute x=3 in g(x)

Q: 4) Find the surface area obtained by rotating y = t², t€ [1,4] about the y-axis.

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Q: Question 10: x + 2z = 1 2y-z = 8 xyz = 0

A: Topic = Linear equations

Q: Find the area given by: fin In(x)dx

A: Follow the procedure given below.

Q: Solve for the indicated value, and graph the situation showing the solution point. The formula for…

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Q: - y" - 3y'- 4y = 5 ex ANS. y = (c₁ + x)e²x + c₂e¯x.

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Q: Set up the definite integral required to find the area of the region between the graph of y= 2² - 15…

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Q: Solve for the determinant of the following matrix: 392 -2 8 5 02000 1-6 0-3 3 4 02 -8 5 00 3 1

A: Determinant of upper triangular matrix is product of the diagonal entries of the matrix. So here we…

Q: 3. W ²2/2 √√32 W²22√ √50 - 3

A: Find the value of w^(3/2)sqrt(32) - w^(3/2)sqrt(50)

Q: 11. \mbox{If a particle's velocity is given by)\:v(t)--t+2\:\mbox (and its) distance at 1-2 is…

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Q: Determine if the following functions are homogeneous, and if so, of what degree? 1. z(x, y) = x5 /…

A: We need to check if the following functions are homogeneous, and if so,of what degree they are.1.…

Q: The population of the world x years after the year 2010 is predicted to be 6.9e0.00743x billion…

A: NOTE: Refresh your page if you can't see any equations. . the population(in billion of people) is…

Q: Trig identities. Use what you know to prove the following identities: tan^2(x)+1=sec^2(x)

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Q: Let f(x) = 5x² 20x. (a) Simplify f(10 + h) – f(10) h Algebraically simplify your answer until you…

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Q: if f(3)=4 and f(4) = 5 what are f-1(5), f-1(4), and f-1(3)?

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Q: 1. Let P be a point on the parabola y = 4x2, and let Q be the point where the perpendicular bisector…

A: Given that, P is a point on the parabola y=4x2 and point Q, where the perpendicular bisector of a…

Q: If the area between the curve is 36 units. Find the value of c. 4 f(x)=x²-c C

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Q: II. Show that lim (x,y) →(0,0) x6 + 2y² does not exist.

A: We will show that following limit does not exist.

Q: 6. 3xy dx + (x² + y²) dy = 0.

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Q: 35. \mbox{For}\:t\ge 0\mbox{, an object's velocity is given by}\:v(t)=-t^2+4\mbox{. At} t=0 the…

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Atmospheric pressure P in pounds per square inch is represented by the formula P = 14.7e-0.21x,…

A: To find out the peak of mountain for the given atmospheric pressure.

Q: Suppose you wish to retire at the age of 65 with $90,000 in savings. Determine your monthly payment…

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Q: A. II B. \mbox{II & III) C. III 18 The graph of f' is shown above. Which of the following statements…

A: We have given graph of the function f' From given graph  f'x=0 at x=2 (i) Function has a inflection…