Find the limit of the sequence. {√3, √3√3, √3√313...

Q: Solvex - y = x² sinx dx Select one: O a y= cx? − xỉcosx O b. y = cx+xcosx O c. y = cx-xcosx Od. y=…

A: Topic = Differential equation Correct Option  = c

Q: Find the general solution of the given differential equation. 6  dy dx + 42y = 7 1.Give the largest…

A: Solution is given below:

Q: 7. List all critical points of g(t) = (t - 3)et -t(t-4).

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Q: What else do you observe? Concept Check: Evaluate the following integrals: fe3xe 1. -5x dx

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Q: i am just very confused, i know all of this is correct but i dont know the basic rules of sets

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Q: Find the volume of the solid that lies under the hyperbolic paraboloid z = 3y2x2 + 4 and above the…

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Q: Find the centroid of the quarter of the unit circle lying in the third quadrant. ICM усм

A: The equation of the circle is x2+y2=1 The radius of the unit circle is 1 unit.

Q: Problem 1 Given a first-order differential equation: √1 + x² dy-ydx = 0 a) What is the best solution…

A: Sqrt(1+x2)dy -ydx=0

Q: Show that the triangle with vertices A, B, and C is a right triangle. d(A, B)2 = 145 d(A, C)² + d(B,…

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Q: Are 2 -baz

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Q: Q2. Solve the following ODE with condition y(2) = -4 and y' (2) = 14. y" + 2y + 5y = 50t - 100

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Q: 1. Find the Critical values. for f(x) = x² + 4x³+4x²

A: GIVEN :fx=x4+4x3+4x2

Q: Let r(t) = (t², 1 — t, 4t). Calculate the derivative of r(t) · a(t) at t = 9 assuming that a(9) =…

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Q: Find two positive numbers satisfying the given requirements. The product is 1200 and the sum of the…

A: Let the number be x and y Given: xy = 1200 To find x, y for which x + 3y is minimum

Q: Find the area of the region bounded by the y-axis, the line x=3, and the functions f(x) = (x² - 3x +…

A: We have to find the area of the region bounded by the y-axis, the line x=3, and the functions…

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral £{f(t)} =…

A: Given function is ft=9,    0≤t<30,    t≥3 We need to find laplace tranform of the given function.

Q: Find an equation of the level curve of the function z(x, y) = ey (x² + y2) that passes through the…

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Q: Let f be a differentiable function. A line is tangent to both of the curves y= √1+x2 and y = f(x)…

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Q: 7. f(x) = log₁0 (1 + (OSX) 10

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Q: d Perform the following Operations on the | 14 = (-2₁-3₁-5), V = (4₁-2₁-1) to W² = (-404) R₁W = [ (u…

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Q: Calculate the first four partial sums of the given series, S₁, S2, S3 and S4. Also, determin whether…

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Q: r(t) = (12t, 7+3 cost,4+3 sint)

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Q: 3. On what intervals is h(x) = x² - 10 arctan(x²) increasing and on what intervals is it decreasing?

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Q: - 2q + 250, where q is the quantity Let the demand function for a product be given by the function…

A: Given,Demand Function D(q) = -2q + 250(A) Revenue from selling 105 itemsRevenue function = q ×…

Q: 25. If a and h are real numbers, find the following values for the given function. The function is…

A: The numbers a and h are real numbers. The function is f(x)=x2-x+1

Q: Solve the inequality. State the solution in interval notation: x ≤ < 1 - 2x x-2

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Q: 3. The volume of a right circular cylinder with base radius r and height h is given by V = πr²h Find…

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Q: Step 4 Finally, determine(-3x + 7) and (x + 7) and simplify the result. dx dx 1. du 1 dv + U dx V dx…

A: formulas we use: ddxf+g=dfdx+dgdxddxkx=k; k is a constant.dkdx=0; k is constant.ddx(x)=1.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find an equation for the tangent plane to the surface 6 z + 2 = xy cos(z) at the point (2, 1, 0).…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 4x³ - 6x² -…

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Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 64°C, it…

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Q: torgent 2. A particle moves along the curve implicitly defined by x²y³ + yx³ = x² - y². When the…

A: Differentiate wrt t  and put value

Q: List the first 4 terms of the sequence starting from n=1 n {(-1)^ ^ +1} ₁ n 2

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Q: The total spent on research and development by the federal government in the United States during…

A: Total spent on research S(t)=3.1ln(t)+22 billion dollars Total spent on in 2012    t= 12

Q: The graphs of the function F (left, in blue) and G (right, in red) are below. Let P(x)=F(x)G(x) and…

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Q: Differentiate y = 6 + sin x x + cos x

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Q: 1. Find the double integral over the region R bounded by the functions. Choose the more convenient…

A: To find:- ∬Rx3y2dA ; y=x,y=0,x=1 ∬xeydA ; y=x,y=0,x=1 ∬RxydA ; y=x2+1,y=3-x2

Q: x-y ≤ 0 2x - y ≤ 8 0≤x≤ 11

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Q: 1+3 Sketch a detailed graph of the function g(x) asymptotes and draw them on the graph as dashed…

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Q: 3. Find the value of x for which the slope of the tangent line to the curve y = 100e is - 500. -5x…

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Q: f(x) X 2 tan r -

A: We have to solve given Questions.

Q: Axe - N 6x²

A: Given Function:- y=Axe-6x2

Q: Find the directional derivative Du f(−5/6,1) for the function f(x,y)=cos(π(3x+4y)) in the direction…

A: Given fx, y=-cosπ3x+4y v=9, 12

Q: If g(x)=xf(x), where f(3)=4 and f'(3)=-2. 1. Find an equation of the tangent line to the curve of g…

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Q: 4. * f(x) = x² ex

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Q: Solve the inequality. State the solution in interval notation: 6x4 + 12x³ < 48x²

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Q: 20. Evaluate the limit or show that the limit does not exist. Show proper work. sin y cos y ye (a)…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Find the cross product axb 6=(-4,3-5) Where a= (-3, -5,0) and (483 axb = <D₁ 0₁ 02

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