3. y = C₁ + C₂ e-4x

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A: NOTE: Refresh your page if you can't see any equations. . the given position function is  to find…

Q: Rewrite the integral below as a sum of integrals without absolute values, then evaluate that sum.…

A: Topic = Integration

Q: (a) Compute 83 of ∞ (c) Use n = 3 and n=1 2 9n6 (b) Estimate the error in using $3 as an…

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Q: If 1500 square centimeters of material is available to make a box with a square base and an open…

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Q: A rectangular storage container with an open top is to have a volume of 10 m³. The length of this…

A: NOTE: Refresh your page if you can't see any equations. . w=x (width of the box) l=2x (length of the…

Q: the cost of printing,C, is a function of the number of prints, n, the cost of making 100 prints is…

A: the cost of printing,C, is a function of the number of prints, n, the cost of making 100 prints is…

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Q: Find the exact length of the curve. x = et - 9t, y = 12et/2, 0≤t≤ 4

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Q: How do you know your answer is correct? 6 BOTTOM LINE QUESTION Using Formula 2, find the arclength…

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

Q: (1 point) Find the arclength of the curve r(t) = (-5 sint, 6t, -5 cost), -6 ≤ t ≤ 6

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Q: Solve the initial value problem = 2√√t, y(1) = 6. dy dt (Use symbolic notation and fractions where…

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Q: Evaluate the limit, using L'Hopital's Rule. 1 (1 + x4) ² = lim x Number

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Q: Find the x coordinates of the relative extrema of the function f(x) = xe4². Relative maximum at x =…

A: See this solution in below.

Q: Find an equation of the tangent line to the curve at the point (1, 1). y = In(xex³) =

A: Given query is to find the equation of the tangent.

Q: Graph the following function. Then use geometry (not Riemann sums) to find the area and net area of…

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Q: If f(x) = sin(x³), find f'(x) Find f'(1)

A: See this solution in below.

Q: For the function f(x) = sin(x), write Newton's formula as [A Xn+1 = F(xn) = xn for solving f(x) = 0.…

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Q: Solve for y. Give an exact answer. 2y - 5 = eln(20) y =

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Q: 1. Find the most general antideriva_ tive of the follouting function. a) h(x) = 8x² + x√x+e-x² b)…

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Q: 8²% Classify the partial differential equation: 6- dx² -16 <0, Hyperbolic -24 < 0, Elliptic O 240,…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Given f(x) = 3, find f'(x). Type In(x) for the natural logartihtm function or use the equation tool.…

A: Given: Now,           f'(x)=3x' Apply the derivative exponent rule:  ddxax=axlna        =3xln3

Q: Let c be a constant. The function (0, 1) and (2, ∞0) (0, 2) (2,00) f(x) = 2 is concave up on the…

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Q: The gas law for an ideal gas at absolute temperature 7 (in kelvins), pressure P (in atmospheres),…

A: NOTE: Refresh your page if you can't see any equations. . P=pressure T=temeprature V=volume R, n=…

Q: Find the integral of the following function by parts So al cos 0 + b do where a = 6.5, b = 10 in…

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Q: Use Newton's method with the specified initial approximation x₁ to find x3, the third approximation…

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Q: 14. S X (x² + 1)² dx

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Q: 3. If 1,300 square centimeters of material is available to make a box with a square base and an open…

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Q: If f(x) = 4 2:2 find f'(4).

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Q: The midpoint of AB is at (-4,-2). If A = (4, 6), find B. B is:(

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Q: Find the particular solution. (2xy sin x + x²y cos x) dx + (x² sin x + 2)dy = 0; when x = 0, y = 4

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Q: 3. Find the sum of the series k=0 (−1)k2k 62k+¹(2k)!

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Q: Find the angle of intersection of the two curves: C1: x2 = -12y C2: y2 = 9x

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Q: Suppose that ¹+y¹ = 82. dy (1) Use the method of implicit differentiation to find da dy dx (2) Find…

A: x4 + y4 = 82 we want to find dydx = ?

Q: Use the power series 1 1 + x Σ(-1)^x, x < 1 n=0 to find a power series for the function, centered at…

A: Please see the below answer.

Q: Determine the value of the absolute value expression A B 2443 2 2443 2 Select one: O a. A O b. B O…

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Q: Given the demand equation x = 120e-P/26, where p represents the price in dollars and a the number of…

A: elasticity of demand  E(p)=px*dxdp.......(1)

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Q: 201092 USAIG 30. The graph of g consists of two straight lines and a semi- circle. Use it to…

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Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) log3(x² -…

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Q: Does the following function satisfy all the properties of a cost function? c(W₁, W₂, y) = y(W₁ +…

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Q: An air freshener starts with 36 grams and evaporates. In each of the following cases, write a…

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Q: Determine the singular points of the given differential equation. Classify each singular point as…

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Q: A forest fire is found at midnight. It covers 1100 acres then. It is spreading at a rate of f(t) =…

A: We have to find the area covered in next 16 hours.

Q: 2. Let g(x)=ff(t) dt, where f is the function whose graph Indi rique à bas a mowed to is shown. (a)…

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Q: (1 point) For the curve given by r(t) = (8 sin(t), -1t, -8 cos(t)), Find the unit tangent T(t) = (…

A: unit normal vector  N(t)=T′(t)||T′(t)||.

Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) log5 (x + 7) -…

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. y =…

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Q: Let y = (5x³ + 9)7 dy dr. Find dy d.x

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