Give the interval where y is decreasing y=x²e^x

Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

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Q: Consider the following. f(x)= -(-3x, X ≤ 6 X > 6 x² - 4x + 9, Find the x-value at which f is not…

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Q: Let y = 2(x - 5)²-6. Part A: Is the given relation a function? Is it one-to-one? Explain completely.…

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Q: an appropriate method. 1₁ Evaluate the integral using 1 x²√x² +9 dx

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Q: 1).Use the direction field below from the differential equation y' = −4y to sketch the graph of the…

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Q: While warming up for a game, two basketball players shoot balls in parabolic paths. The path of the…

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

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Q: Expand f(x) = √3+x as a binomial series. 2 / 3 (¹ + $ 1 E 0 + (¹ + 5, (1 1 O O₁+ (-1)1-3. 5 . n=1…

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Q: Determine the equation of the parabola whose graph is given below. Write your answer in General…

A: We have to find equation of parabola which is given in the graph. We know the equation of parabola…

Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: Find the solution of the initial value problem y" + 2y' + 5y = 8e¯t cos(2t), y(0) = 10, y'(0) = 0.…

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Q: ! x (x3-2x²+x)(x²+1)* Let f(x) are any constants, which of the following decompositions into partial…

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Q: Evaluate F. dr. F(x, y) = 7xi + 6yj C: r(t) = ti + √4-t²j, -2 ≤ t ≤ 2

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Q: 5.5 Find the volume of the solid bounded above by the graph of f(x, y) = xy sin(x²y) and below by…

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Q: question b

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

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Q: 9).  Find the general solution to the differential equation. y' = 2xy2 y =     PLEASE SHOW STEP BY…

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Q: Using rectangles each of whose height is given by the value of the function at the midpoint of the…

A: The objective of the question is evaluate the area by help of midpoint rule.

Q: Use your parametric equations to determine the following: Maximum height Time to land Where to…

A: Disclaimer: Since you have posted the sub multiple parts for the questions ,we will solve the first…

Q: (f) If F(x, y) = 5y sin(xy)i + 5x sin(xy)j, f(x, y) =

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Q: Find r(t) u(t). r(t) = (7t - 6)i +¹+³j + 2k u(t)= t²i4j+t³k r(t). u(t)= Is the result a…

A: Topic = Vector

Q: Find the limit of the transcendental function. Ilm sin 7tx

A: topic- limits

Q: Sketch the plane curve. r(t) = tr + t2j, [01] y 1.0 0.8 0.6 0.4 0.2 y 1.0 0.8 0.6 0.4 0.2 0.2 0.2…

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Q: Given a function f(x) = 3x² + 4, what is the average rate of change of fon the interval [2, 2+ h]? O…

A: Topic = Functions

Q: If the line r = (2-t, -2 + 13t, 8t) is the normal tangent line to the level surface axyz²by² = -14…

A: answer is in next step . please give a like !!

Q: Consider the following equation. y = x² + 1 Find any intercepts. (If an answer does not exist, enter…

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Q: 2) y" + 4y + 4y = 3 sin(3r).

A: We need to solve D.E. NOTE - As per Bartleby's guidelines we can solve one question from multiple…

Q: - Given: ƒ" (x) = (4x + 9)88 (3x + 1)¹4 (5x − 1)º(x − 2)5, where Dom ƒ (x) = (-∞, ∞) . Find all…

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Q: Use the given information in the table below for the indicated critical points and find the local…

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Q: You are given the graph of a function f. Determine the intervals where fis increasing, constant, or…

A: Given,

Q: Find polar coordinates (r, 0) of this point with I with expressed in radians. Lets r > Oand 0≤0<2…

A: The objective is to find the polar coordinate.

Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1,1) in the direction of from the…

A: We have to find the directional derivative.

Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1,1) in the direction of from the…

A: The function is given as , fx,y=lnxy+x2 find the directional derivative at point -1,1 in the…

Q: Evaluate the line integral, where C is the given curve. (Round your answer to one decimal place.)…

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Q: Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist,…

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Q: Find the first derivative f' and the original function f. ƒ"(x) = cos(x), s' () = 5. ()=4 f' (Use…

A: Topic- differential equations

Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1, 1) in the direction of from…

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Q: 7) .  Use separation of variables to find the general solution. (Use C for the constant of…

A: answer is in next step. please give a like !!

Q: (X) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, nd…

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Q: ii) Find the exact area of the surface obtained by rotating the curve 1 12x 3 y = x³ + 9 1 ≤ x ≤ 2,

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Q: i) Find the exact length of the curve 1 + 15 4x3 y = y = ii) Find the exact area of the surface…

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Q: 3).   Draw the directional field for the differential equation. y' = 3y + xy

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Q: Find the Taylor polynomial 7₂ for the function 3 O3+ (x-1)+(x-1)² 54 f(x)=√8+

A: We have to find the Taylor polynomial for the function f(x) at the number a=1. And power series…

Q: A car was valued at $33,000 in the year 1994. The value depreciated to $12,000 by the year 2006. A)…

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Q: Find the limit. 4 Ilm x3 52 5

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) 00…

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Q: Find the general solution to the differential equation. x2y' = (x + 5)y y =   PLEASE SHOW STEP BY…

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Q: 1. For what values of h (if any) does the differential equation have equilibria? dy (y- 5)(y-6) - h…

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Q: 3. Find the exact value of surface area of the solid that is described by the intersection of the…

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