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Q: -4 tan-(x) dx 1 Find (x + 1)2

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Q: f the limit of the nth term of a series converges to 0, then the series onverges.

A: This is the false statement. So i am providing an example in my handwritten note, so that it'll be…

Q: (-1)"n²n! 2n n=1 IM³

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Q: Find the particular solution of the following ODE given that y(0)=0 and y'(0)=3: d'y dy +10 +25y = 0…

A: Explanation of the answer is as follows

Q: Compute ||A|| ||A|l, and ||A|l 2 8 A = 35 %3D

A: Given

Q: Question- Let R be the region bounded by x= y - 25, and x= 1. Then draw the region a evaluate the…

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Q: A bacteria culture is growing at a rate of r(t) = 8e0.6t thousand bacteria per hour after t hours.…

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Q: 6. A square plate 3 ft on each side is submerged with the top side parallel to the surface, 5 ft…

A: This is a problem related to force exerting on square plate by water. Based on Archimedes principal…

Q: If the region R is bounded between two circles x2 +y? = 1 and x²+y? = 16 , then we have: J| x²+y?)…

A: Let's find.

Q: Find an equation for a parabola with focus (7,-2) and directrixx = = 4.

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Q: #2. Determine if the function g(x)-3x+5x is even, odd, or neither (a) using algebraic approach, (b)…

A: Odd even function

Q: 1. For the shaded region shown, determine the following using vertical strip: 5 a. Area x= 2y - 3 4…

A: The given equations are: x=2y-3 and y=x-22-12. Fromx=2y-3, we get: y=x+32. Plug this into the other…

Q: 7. Use linear approximation to approximate the value of log(99) without the need for a calculator.…

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Q: dy Suppose 2e-2* and y(1) = 4. dx What is y(2)?

A: Given,  dydx=2e-2x and y(1)=4

Q: Find the area bounded by the curve y=x^2 − 4, the lines y = 0 and x = 4

A: The graph is shown below:

Q: Solve the initial value problem y" – 6y + 25y = 0, y(0) = 2, y (0) = -3. %3D

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Q: Consider the region bounded by x = 3y and x = y^3. A solid is formed by rotating the region about…

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Q: Given the curve y=x2 and a point (5,17) Find the x intercept of the tangent line to the curve…

A: We have to find x-intercep for the given Questions

Q: Solve the system of equations. x+2y = 0 8y = - 4x Solve the first equation for x. x +2y = 0 x = y

A: x+2y = 0 8y = -4x 2y = -x put this in equation  so the the equation has infinite solution    x + 2y…

Q: (a) Shift it to the right 2 units. Denote the function that results from this transformation by fl.…

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Q: The auxiliary equation for the differential equation y" – 4y" – 12y = 0 is Select one: m – 4m2 – 12…

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Q: Find and sketch the domain for the function. f(x.y) = In (x? + y? - 4)

A: We can solve this as follows:

Q: Some type of phenomenon occurs at x=0 for the function f(x)=cos x-x^2 sinx, f(0) is a(n) A. maximum…

A: Given the function is f(x) = cos x - x2 sin x

Q: Write the radius of the circle x 2 + y 2 = 5 25 √5 5

A: General equation of circle is given by  (x-h)2+(y-k)2=r2  Where (h,k) is the circle and r is the…

Q: -3 d) de e) co f) dx x-2 + 4 cot x dx e2x - 1

A: Solution in step 2

Q: Question 6 of 10 n(x) = csc°(;w) Select the correct response: csc(-a) + cot(x) CSC - 1 sece'(승)…

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Q: Find the consumers' surplus at a price level of p= $160 for the price-demand equation below. p =…

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Q: r the function. (Center your power series r - (Enter vour a nswer using interval notatio

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Q: Find an equation of the plane. The plane through the point (7, 0, 5) and perpendicular to the line x…

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Q: Consider the differential equation y" – 11y" + 28y = 0 Write the auxiliary equation of the given…

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Q: The result of the following double integral is 2 SS T oxy²z dxdzdy = ? -2°0 None of he others O -21…

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Q: 1. Eliminate the parameter to find a Cartesian equation of the curve given parametrically by (x(t),…

A: Recall: sin2t+cos2t=1

Q: x2 - 4ху- 2у2-2 %3D0 4xy to

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Q: The SMPT group at UB sells past final exams packages (small and large) for $2 and $3 respectively.…

A: topic - linear equations

Q: Find the particular solution y = f(x) that satisfies the given differential equation and initial…

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Q: Given the differential equation y'' – 4y' + 3y = 0, y(0) = 0, y'(0) - 2 Apply the Laplace Transform…

A: L yn = snY(s) -sn-1y(0) -sn-2y'(0) -...-sy(n-2)(0)-yn-1(0).

Q: Provide a step-by-step solution to the following differential equation (linear quation) y' = x3 -…

A: I am attaching image so that you understand each and every step.

Q: 2) Zy? + X :0 + x -1 :0

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Q: Find the volume of the solid that results when the shaded region is 2 y = x revolved about the…

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Q: For which values of t is the curve concave upward? x=cos(2t) y=cos(t)

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Q: 3. Let f(r, y) = I sin ry. Find: %3D (a) fa(1,9) (b) fy(r, y) (c) fyy(I, y) (d) fyz(I, y)

A: Given,            fx,y=xsinxy

Q: 3. Let f(r, y) =r sin ry. (a) fa(1,9) (b) fy(r, y)

A: Given: f(x,y)=xsinxy

Q: The auxiliary equation of the homogeneous linear equation y" – 24y' – 16y = 0 is m2 – 24m – 16 = 0…

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Q: consider the point (-3,-3) in rectangular coordinates.  give 2 different ways to represent the…

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Q: 1. The rodius of a circle is 9 centimeters. What is the area?

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Q: Use double integration to find the volume of the solid bounded by the cylinder x? + y? = 64 and the…

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Q: Find the volume of the pyramid with base in the plane z = and sides formed by the three planes y -9…

A: To solve the following problem

Q: dy Suppose 9 x²– 2 ( 3 x³-2x+3) and y(1) = 3. dx What is y(2)?

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Q: Find the particular solution of the following ODE given that y(0)=7 and y'(0)=0: d’y dy dx -+3-10y=0…

A: To find the particular solution of ode

Q: Solve the following problems, Write your solutions and answers in a sheet of paper. 1. A crcular…

A: Area of circle A=πr2a)r=32 cmPool area =π r2                 =π(322)                 =1024π  cm2The…