quations of Order One: Homogeneous Equations Instructions: Obtain the family of solution of the following equations. 1. (x2 + y2)dx + xydy = 0

Q: lim Z-0 /52 +196 – 14 I

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Q: A chain 10 feet long weighs 8 pounds per foot and is hung from a platform 35 feet above the ground.…

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Q: dy Find when dx x(t) = 3te, y(t) = 4tet. 1. 2. 3. 4. dy dx dy dx dy dx dy dx 3e¹(1+t) 4 + et 3e (1…

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Q: If f(x) = 3x² - 7x +4, find f'(2). 5 Use this to find the equation of the tangent line to the…

A: To find equation of tangent line to the given parabola y= 3x^2-7x+4 at point (2,2).

Q: Find the unit vector in the same direction as v. v=i-6j 1 6 37 (Simplify your answer. Type an exact…

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Q: dy Solve the following implicit partial derivative dx and select the correct answer: -y²=6 X x² + y²…

A: The given equation is; x/(x2+y2) -y2=6.

Q: 1. Calculate the derivative of y with respect to x. Express derivative in terms of x and y. e2xy =…

A: We are authorized to answer one question at a time, so we are answering the first one. Please repost…

Q: 1. g(x)= 3tan 3x 2. y=x sin¹2x+cot¹ √x 3. f(x)=sin ¹. ¹ 4. y = (arc csc 2x) 5. G(x) = 5x Cos ¹2x 6.…

A: Let's find derivative.

Q: 9. Earned Run Average. A pitcher's earned run average E varies directly as the number R of earned…

A: Topic- direct and inverse proportion We are given,  A pitcher's earned run average E varies directly…

Q: . y = sec(x)√1+cot² x csc³(x)

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Q: 8x² + 3 x² - 49 Enter the number of critical points/numbers of f(x). Consider the function f(x) =…

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Q: Determine the critical points of the function f(x,y) = x2y2

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Q: 2. Find the limit of the sequence defined by an = wit 1+ 71 2 n don

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Q: Free Response. 1. Find the width and height of an older 50-inch television whose screen has an…

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Q: Find lim f(x), where lim x→4 f(x)-5 X-4 X-2 = 13

A: We need to apply the limits to find the expected value

Q: a. b. 1. C. d. e. f. g. h. i. j. (2y³ +42) dx = (6-2xy²) dy y² = ex s = [C(x - C₂)]³ 9y+2 y -to (sec…

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Q: The equation for the tangent line to the curve x² + y = 4 when x = 6 is y = i X + i

A: Topic =  Derivative

Q: EXERCISE 56 Evaluate each of the following limits. 1. lim x ln x. Ans. *0. 3. lim x csc 2x. 4. 2.…

A: 1) limx-0 xlnx 2) limx-infinity x sin(pi/x) 3) limx-0 x csc(2x). Repost the next questions.

Q: Let C be the curve obtained by intersecting the two surfaces x³ + 2xy + yz = 13 and 3x² − yz = −5.…

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Q: Use an appropriate substitution to solve the equation Observe that, if n = 0 or 1, the Bernoulli…

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Q: ƒ(x, y) = x²y — 2x² + 2xy − 4x. -

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Q: The series is absolutely convergent on the following interval. x-5 <1 |x - 5] < 10 x € (-5, 15) An…

A: Given series ∑k=1∞(-1)k10k(x-5)k

Q: d the maximum of the objective function C = 7x + 8y subject to the feasibility region below. 2 H-…

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Q: r1/3 (a) [1¹/² r1/3 (b) [11/² X 1+9x² 1 1+9x² dx dx

A: To solve the given integrals

Q: f(x)=6x²-4x5+3x³+x+1. Which of the following statements is true for the polynomial function f? O a.…

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Q: Find the limit of the following. lim 848 2 (√9x² + 3x - √9x² - 2x)

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Q: SX IF X <1 Let F(X) = (^(X-2) IF XZ1 a, Find Limx→1¹ and lim x⇒ F(x) b. does LIM X→1 f(x) exist? C,…

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Q: verify that the function y = C₁ x ² + C₂ x ³ is a the differential equation: solution to and 2 x ²y"…

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Q: Design a differential equation whose fundamental solutions are y₁ (t) = e-t/2 and y2(t) = e-2t.

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Q: x+y = y² ln x dx

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Q: The point (-12,4) is on the graph of y = f(x). Find the corresponding point on the graph of y = 9…

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Q: For the function f(z)=-2sin (-). determine its amplitude and period, and then graph it for two…

A: Given a the trigonometric equation of the sine wave, y=Asin(Bx+C)+D Amplitude is |A| Period is 2π|B|

Q: Let C be the curve of intersection of the spheres x² + y² + z² = 27 and (x − 2)² + (y − 2)² + z² =…

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Q: Find the fundamental set of solutions of the DE y" + 4y + 4y = 0. Use the Wronskian or any other…

A: Given the DE is y''+4y'+4y=0.

Q: Suppose g(x, y) = x³ - 6xy + 6y². Answer the following. In each case give all three coordinates of…

A: See this solution in below.

Q: Given that - 8i is a zero, factor the following polynomial function completely. Use the Conjugate…

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Q: 21. Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: Use the Theorem of Pappus to find the volume of the torus formed by revolving the circular region…

A: Given expression: x-92+y2=9       ..........(1)

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: Given: Now, the velocity of the ball will be f'(t)=-32t+319. And when it strikes the ground is…

Q: V. Identify the value/s of x for which the corresponding function evaluation is true. Show complete…

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Q: d'y Find for the curve given parametrically dx² by x(t) = 4+t², y(t) = 1² +2+³.

A: Correct Option =first option

Q: 6. dx-2xcsc dy 11 2y - 2x³ cos 2y sec 2y a. b. C. d. e. f. g. h. i. j. C = ln 1 y² = ex s = [C(x -…

A: We know, 2sinx*cosx=sin2x csc2mx-cot2mx=1, for any real m ∫csc2mxdx=-cotmxm ∫cotxdx=ln|sinx|…

Q: 1) Find second order equations for which the following are general solutions. b) y(t) = C₁e²¹ + С₂e¹…

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Q: y varies jointly as x and z and inversely as w, and y=3/2 when x = 2,z = 3 and w = 4. Please explain…

A: Given,y varies jointly as x and z and inversely as w,  y=xzw

Q: Find the limit algebraically: √x - 11 lim 101 Mo 121)

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Q: that passes through the origin. Z = dz dt = 9te6z

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Q: 3 Given Cost and Revenue functions C(q) =q³-10q² +56q+5000 and R(q) = -3q² +2600q, what is the…

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Q: 4. y = (arc csc 2x)

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: Topic- Application of derivatives We are given, height of a ball launched in the air t seconds after…

Q: II. For each of the following ellipses, find the center, principal axis, vertices, co - vertices,…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.