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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) sin(5t). lim (e2i + 5t +…

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Q: e Cobb-Douglas

A: answer is in next step

Q: 1. In the differential equation (x+2y-1)dx+(2x+4y-3\dy=0, we let the substitution %3= 2. In the…

A: 1) Here, the differential equation is: (x+2y-1)dx+(2x+4y-3)dy=0⇒dydx=-x+2y-12(x+2y)-3

Q: determine the relation x^2 + y^2 = 13. dy/dx in terms of x and y using implicit differentiation.

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Q: x <0 2r3 + 3r2 – 12x, x 0 10xe", f(r) = a. Find all the critical numbers of f. b. Find the extreme…

A: a)  For x&lt;0    Consider f'(x)=0  ⇒10(ex+xex)=0  ⇒10ex(1+x)=0  ⇒1+x=0  ⇒x=-1For x≥0Consider…

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A: vector: &lt;8,1,3&gt;, point=&lt;0,0,0…

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Q: 1. Consider the function A(x) = -tan(x- x). Determine the equation of the tangent to the curve (x)…

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below.…

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Q: A balloon leaves the ground 50 ft from an observer, rises at the rate of 8 ft/sec. How fast is the…

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Q: 10 dr is The value of J5

A: The given integral,            ∫5101x2dx

Q: x/3 The life (in months) of a certain electronic computer part has a probability density function…

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Q: 00 Let f(t) be a function on [0, 0). The Laplace transform of f is the function F defined by the…

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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: Below is a sketch of the graph of J.

A: we say at x=a limit exist if the both right and left side limit exits and equal at x=a

Q: Evaluate the inditi- 0scten Ctan 2x- sec 20

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Q: Question 2 Let f: (ry. ry) and g:= (cos(t), sin(t)). Then determine the following. (a) fog.

A: This is a problem related to combined function. Based on the general concepts and formula we will…

Q: pind projaB iF A > {l,0,27 B: <6,-2 ,3

A: A=&lt;1,0,2&gt;B=&lt;4,-2,3&gt;projAB=A.BA2.A

Q: Determine the values of x that causing the following series to converge. (3x- 1)n 2n n=1

A: This is a problem related to convergance of the series. Based on the general formula we will answer…

Q: Find the directional derivative of the function at P in the direction of v. g(x, y) = Vx2 + y2, P(3,…

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Q: Use the accompanying tables of Laplace transforms and properties of Laplace tr 9t sin 7t Click here…

A: L9tsin27t=L9t12-cos2·…

Q: Question The statement below is of the form ren de = F6x) + C. Verify whether the following…

A: Note that: ∫-4x55-5cos(x)dx=-45∫x5dx-5∫cos(x) dx=-45x66-5sin(x)+C=-215x6-5sin(x)+C

Q: y = ce2t + Cze -3t y = ce-t/2 + cze¯ -2t

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Q: Verify that the two planes are parallel. -x + 6y + 3z = 7 1 --x+2y +Z 8 Find the normal vector, n,,…

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Q: Solve the following problems completely and accurately. Solving Differential Equations (1) Find the…

A: Since, the student has mentioned to solve question number 1, so we are going to solve only question…

Q: NUMERICAL METHODS QUESTION Consider the differential equation y'(x) = -3x²y², y(0) - 2, which has…

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Q: Hi there, please help me with answering this question, I am a bit confused here. It would be highly…

A: A detailed solution is given below

Q: -5 -4 -3 -2 -1 1 2 5 -2 -3+ What is the least possible degree of the polynomial graphed above? 3.

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Q: 5. R = (sin 2t , cos 2t , 2t3/2), 0 <t<1.

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Q: 4. A certain style of church window has the shape of a semicircle atop a rectangle so that the…

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Q: Sketch flx) = 2 cos x-Sin 2x , osx<2o

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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: Solve the following dy 1. xy = 2y2 - x2

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Q: 1. In the differential equation (r+2y-1)dx+(2x+4y-3)dy 0, we let the substitution %3D

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Q: dy 2. x2 dx xy = (x² + y²) tan-() %3D -

A: Here, the given differential equation is: x2dydx-xy=(x2+y2)tan-1yx...(1)

Q: Decide whether the function defined as follows is a probability density function on the indicated…

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Q: SOLVE the following DIFFERENTIAL EQUATIONS using appropriate method. FULL SOLUTION    (y^2 +…

A: To find the solution of the given differential equation.

Q: Find positive numbers x And y satisfying the equation xy=14 such that the sum 2x+y is as small as…

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Q: Solve the differential equation dy xy y(0) = -3. dx V1+ x? There is no need to isolate y.

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Q: 13.Using integration by substitution in f'æ° (x® – 2)*dæ ,what is du? O A (26 – 2)³ dx (xº – 2)dr…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: y" +y' + 1.25y = 0, y(0) = 3, y' (0) = 1.

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Q: Find a value of k that will make fa probability density function on the indicated interval. f(x) =…

A: See the answer below

Q: that has i +j and i – 18j as adjacent sides. NOTE: Enter the exact answers. ||d||= 19 ||d||=|17.12

A: Vector

Q: %3D It has been determined that the cost of producing x units of a certain item is 8x + 365. The…

A: We have to find profit function.

Q: 1. S V2x – x² dx 2. S* dx 1+x? 1+x3 3. Sv1+ v1+x dx 4. Set up only the integral(s) that will compute…

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Q: Find the solutions of the system of inequalities by graphing: 2x – y 0

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Q: I ntegrate : 1. ト「1G4y? +L dx 64x?+ル 2+16 dx

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Q: Consider the following. y = x2 y = 20 − x   (a) Find the area of the region by integrating with…

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