xcsc (y/x) -y]dx + xdy=0 Prove that it is a Homogenous DE using homegeneity test (degree n) and solve for general solution, arbitrary constant and its particular solution.

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A: We have to check wheather it is true or not

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A: Determine the point(s) where the function below has a maximimum and/or a minimum. Find BOTH…

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A: Here we have concave upward and concave downward.

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A: The objective of the question is checking the continuity of the given functions.

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Q: If 0 ≤ an ≤ b, and Σb, diverges, then Σan diverges.

A: Let's solve.

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Q: Use the basic integration rules to find or evaluate the integral. e In(2x) 1+ ln 4 [eind X X dx

A: The given integral ∫1eln2xxdx

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Q: Find the exact value of each of the remaining trigonometric functions of 0. 2 5 sin - and tan 00 cos…

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Q: Ľv 3x² - 2x + 3. (3x - 1). dx O -4.87 -3.92 -2.22 O -1.67

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Q: Which if the following is a power series representation of the function - 1+x? f(x) = = +∞ Σ(-x" -…

A: Given: function f(x)=-1+x1-xwe know that11-x=1+x+x2+x3+..........=∑xn0∞where…

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Q: If u = X + y+z a) 0 y 2+x ди + then the value of x x+y x b) 1 c) u d) None ax +y + ay +2 ди əz IS:

A: Question - 21 Given, u=xy+z+yz+x+zx+y To find, x∂u∂x+y∂u∂y+z∂u∂z Formulas used:…

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Q: 1 x5 10 (266)6 This can be transformed into a basic integral by letting Consider the definite…

A: Given query is to transform the integral using substitution.

Q: Solve the given Bernoulli equation by using this substitution. O O O y = ± y = ± y = ± y = ± y = ±…

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Q: II. Consider the function f(x, y) defined for all (x, y) by ƒ(x, y) = 232/32 + 2xy + 4x²y (a) Find…

A: Here we have to find the critical points.

Q: The shaded area bounded by y=x^2 and y=x^3 is 0.016 0.083 O 0.055 O 0.16 (1, 1)

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A: The objective of the question is choose the correct option to make a parabola

Q: Solve the given differential equation. All solutions should be found. dy dx e5x+10y ot (1603) NOTE:…

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Q: Find the solution of the given initial value problem. ty' + 4y = t²t+7, y(1) = 2, t> 0

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Q: Match each of the following parametric Equations with a plane curve : x(t) = - 3t y(t) = 1 - 9t² TER…

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Q: Find all points of inflection and discuss the concavity of f(x) = x^2 *(3x - 5)^1/3

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Q: Find the differential equation of the family of circles with centers on the line x – 2y = 3 and…

A: Given:  circles with centers on the line x – 2y = 3and passing through (3, 0).

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Q: Given: F(s) = (5s+6)/(s²+9). Evaluate: f(1)

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Q: Evaluate the limit ALGEBRAICALLY (by simplifying), NOT just by graphing: lim h→0 (6 + h)² - 36 h

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Q: Factor the polynomial completely. P(x) = 625x4 − 25

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Q: The population of Toledo, Ohio, in the year 2000 was approximately 480,000. Assume the population is…

A: This question can be solved using the concept of general form of exponential growth function.

Q: Consider the function f(x) Find the value of A: A = - 6x² + 6x 5. f(x) has a critical point at x =…

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Q: Find the divergence of the vector field of F(x,y,z) = sinxi + cosy j + z² k. cos x + sin y + 2z O…

A: Option C is correct. To finde divergence I used divergence formula.

Q: Find div F and curl F if F(x, y, z) = xz¹i+ 4ya²j+6z²yk. div F= curl F=

A: Vector

Q: 13. +27x-27 √x² dx √x² - 6x +9 2 (Ans: x³ + x² + 36x + 81ln|x − 3| + C)

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Q: Let y = sin (5x). If Ax= Ay~ = error = Find the percentage error - Question Help: Video Submit…

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Q: If a rock is dropped from a height of 197 ft, its poistion t seconds after it is dropped until it…

A: Given that,  Height from which the rock is dropped is 197ft Function defining position of rock at…

Q: Consider the following function. y = 6x In(x) Find y'(x). Y'(x) = 6 + 6 in (x) Find y"(x). y"(x) = 6…

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Q: Use Green's Theorem to evaluate the line integral along the positively oriented curve C that is the…

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Q: Calculate the indicated Riemann sum Sn​, for the function ​f(x)=x2−9x−4. Partition [1,7] into six…

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