5. dx y?. dy + 2xy = sin y,x(n) = 1

Q: Find the equation of the tangent line to the graph f(x)=x^4 +2x^2 -x at x=1. Write your equation in…

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Q: Opens left or right Vertex: (-7, 9) Passes through: (-4, 8)

A: Given:   Vertex: (-7, 9)   Passes through: (-4, 8)

Q: Find the relative maximum and minimum values. x²+4y² +14 f(x,y)= e Select the correct choice below…

A: Accordinh to question,Given Function,fx,y = ex2 + 4y2 + 14

Q: The integral is improper. Select one: O True O False S 1 x - 1 dx

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Q: 128. Express the equation (x + y)² = x − y in polar form.

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Q: A circle is inside a square. The radius of the circle is increasing at a rate of 3 meters per day…

A: This question is based on derivative application.

Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

A: The function is given by fx = 3x2+5x-3x2+3x-10 To evaluate: The equation of vertical Asymptotes and…

Q: 80 1 n+8 Does the series (-1) converge absolutely, converge conditionally, or diverge? n=1 Choose…

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Q: Sales Analysis The total sales S (in thousands) of a video game are given by at² t² + b' where a =…

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Q: 1. y" - 2y' - 3y = 5e¹, y(0) = 1, y'(0) = 0 2. y" + 2y + 5y = 3 sin(2x) 3. y" - 4y + 4y = -7x+4x²,…

A: Since you have posted multiple questions. As per guidelines we"ll solve only  first question. If you…

Q: To receive credit, all work must be completed and shown on the assignment paper. 1) A rocket will…

A: Given:

Q: Does the series (-1)- Σ(-1) 4+² n=1 8 OA. OB. n5 Choose the correct answer below and, if necessary,…

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Q: 8. f(sin3x – cos4x) dx

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Q: Find the solution of the given initial value problem 50y" + 15y"+y' = 0, y(0) = -2, y'(0) = -10,…

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Q: Write an equation (any form) for the quadratic graphed below 4 3 2 -5 -4 -3 -2 -1 y = 1 -2 -3 1 2 3…

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Q: Complete detailed solution. What is the derivative of 3 f(x)=4x² + -5 √√x

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Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

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Q: Consider the system of differential equations x₁ = 10/3x₁ +4/3x2 x2 = 8/3x₁ +14/3x2 9 where x1 and…

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Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

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Q: f sin³ ycosydy

A: I have stated the used formulas in the solution

Q: Determine the values of r for which the differential equation y"" + 5y" + 6y' = 0 has solutions of…

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Q: 00 Does the series (-1)+1(0.9)" converge absolutely, converge conditionally, or diverge? n=1 ...…

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: Find all other zeros of P(x)=x²³ - 7x² + 19x - 13, given that 3 - 27 is a zero. (If there is more…

A: NOTE: Refresh your page if you can't see any equations. . the given zero is so other zero must be

Q: Find the equation of the plane that passes through the point (4,-1,2) and is orthogonal to the line…

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Q: a) b) c) The height of a rock climber thours after she begins her ascent up a mountain is modelled…

A: Average rate of change  of a function f(x) over a interval [a,b] is given by Avg.=f(b)-f(a)b-asee…

Q: Use a graphing utility to complete the table and estimate the limit as x approaches infinity. Then…

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Q: Evaluate the integral using the indicated trigonometric substitution Select the correct answer. 9 1…

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Q: Solve given differential equation - ydx-xdy=y3dx+y2xdy; when x=2, y=4

A: The objective of the question is solve the differential equation at particular value.

Q: 1. Find the area between y= |x|^y=2-1x₁

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Q: (a) Give the definition of line integral of a vector field over a path. (b) Compute the line…

A: Use line integral concept

Q: 7. The value of f √x dx 1+√x A. x-2√x + 2 ln (1 + √√x) + C B. x-2√x -2 1n (1 + √√x) + C C. x-2√x+2…

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Q: 1) Given f(x) = -6x +5 and g(x) = 2x + 3 b) Find f (f ¹) (2)

A: We need to find f(f-1)(2).

Q: Use the Green's Theorem area formula, shown below, to find the area of the region enclosed by the…

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Q: The graph of a quadratic function with vertex (2, -1) is shown in the figure below. Find the domain…

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Q: T - Compute u v if u and v are unit vectors and the angle between them is 73 2 u*V= (Type an exact…

A: In this question, we want to find the dot product of the given vectors u and v.

Q: Find the outward flux of the field F = 6xyi + 4yzj + 2xzk across the surface of the cube cut from…

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Q: lim x→0 x⁹⁹ sin (7x) (sin x) 100

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Q: Find the limit. O 0-00⁰ 05 O 8 0 -15 lim x² + 5x -50 x + 10 X→-10

A: Our Aim is to find the limit of the expression given below:-limx→10 x2+5x-50x+10 -(i)

Q: 2. √ (e²x +e-2x) S 2 dx 1/

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Q: xy Find all second order derivatives for r(x,y)= 8x +9y xx (x,y) = Tyy (X,Y)= Exy(x,y)=ryx (x,y) = [

A: Given :rx,y=xy8x+9y

Q: Graph the line with slope - 10.1. 3 passing through the point (-2,-2). 4 X O 5 ?

A: Equation of the line , y=mx +b ; where , m is the slope .

Q: Find the least squares regression line for the points. (0, 0), (1, 1), (3, 6), (4,7), (5,8) y= Use…

A: The given points are 0,0,1,1,3,6,4,7,5,8

Q: a)₁- b) [ : Evaluate the integral 3x - 1 (x + 4)(2x - 1) : Evaluate the integral dx x√x² - 64 6 c)…

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Q: Solve the given differential equation. All solutions should be found. (7y6 + 2x³y) dx (6xy³ + xº) dy…

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Q: -1 Find the derivative of the function: y=6 sin ¹¹ (x²). y'= y'= O y'= 12x y'= -X 2x 2 + X 12x 4 4 X…

A: Given y =6 sin-1 (x2 )

Q: 6. The value of f A. + C B. C. D. (4-x² +C 4√4-x² 4√4-x² dx (4-x²) 1.5 +C +C

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Q: 15. Find the volume by the parabole y² = of the solid generated by revolving y-axis, the area…

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Q: Evaluate the limit using the Basic Limit Laws and the limits limx→explq = cp/q and limx→ck = k.…

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Q: Estimate the slope of the tangent line of the function y(t) = √√/4t + 1 at the point t = 3. (Use…

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