1) What is the slope of the graph y = 5e³x at x = 1?

Q: Find the Taylor Series about a for tan x

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Q: Question 4 (a) Solve the following: √4x¹dx (b) Explain with the aid of a sketch how this value can…

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Q: [ (ax + b) c+b) dx = ○ / (ax + b) ² + C O O4a ¹ª (ax + b) ² + C O4a (ax + b)² + C O4 (ax + b) + C 7a

A: You must have basic idea about indefinite integral in order to understand this better.

Q: 20 e dx x Inx

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Q: 1)y = (8 +7x³)

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

Q: Question 4 (a) Solve the following: 4x¹dx (b) Explain with the aid of a sketch how this value can be…

A: we have to find the value of integral ∫-22 4x4  dx

Q: Which of the following is an example of a series such that Σa converges but Σ|a|diverges? Α.Σ." 3 n…

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Q: Find the area of the region enclosed by the curves y=2 sin x y = 2 sin x and y=2 sin 2x for 0≤x≤ T.…

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Q: Show that the interval [a,b] is complete

A: Given

Q: Find the maximum and minimum value of the function and the inflection point of the given curve…

A: Given :

Q: 6- Find the volume of a solid, use the Cylindrical Shells method, which involves rotating the region…

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Q: 2. If F = (3x² - 3yz)i + (3y²-3xz)-(32²-3xy find div curl

A: Given problem:-

Q: Solve for the volume of the solid generated by revolving about the y-axis the area under y x = 4 to…

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Q: Differentiate the function with respect to the independent variable. x f(x) = 4x cos+ + cos f'(x) =…

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Q: Calculate the value of the following limits algebraically, (if they exist): 2x²-3x-9 a) lim x-3 x-3…

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Q: = Calculate the area bounded by the curves: A. y = x² and y² = X.

A: Note: Hi and thanks for your question! Unfortunately, as per our guideline, only one question should…

Q: Find the midpoint of the line segment shown below. 6+ 4 Midpoint 11 224 -4 5 -6+

A: We need to find mid point.

Q: Consider the function below. z²+4 z-2i z # 2i f(z) = (3 + 4i z = 2i Is f(z) continuous at z = 2i? If…

A: Let's solve.

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using vertical element…

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Q: Use the sum and/or difference rule(s) to find the derivative of the following functions: with…

A: We have to find derivative of given function.

Q: 2 X 2 - a² dx X

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Q: Find the point(s) on the surface y2-xz = 4 that are closest to the origin and find the minimum…

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Q: Find F(s). ℒ{et sin 3t}

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Q: integrate using partial decomposition (y^2)/(y+1)(y-1)

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Q: r(t) = (t sint, 1 - cost) at the maximum point (x, y) = (1, 2) which occurs when t = . You will need…

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Q: Show your step-by-step solution. Find all the relative extrema and saddle points, if any, of the…

A: To find out the relative extrema and saddle points.

Q: What is the z-transform of the ?signal x(n)=(0.5)nu(n) Roc |Z| 0.5 Option 1 1 (1-0.5z-¹) 1…

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Q: 7. Find the parametric equations of the line passing through A(1, -2, 6) and which is perpendicular…

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Q: Solve the following Differential Equations with Laplace Transforms y" - by' + 15y = 2 sin (3t), y…

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Q: 2x² + 3x + 3 (x + 1)³ - dx

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Q: 1)y=(8+7x³) Find the derivative of the following functions 2)y = (x +5)*(2x + 3) 3)y=√(x²+3)²

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Q: Solve the differential equation for initial value problem using the method of undetermined…

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Q: (g) Plot the following set in the complex plane: {z EC ||z- (1 + i)| ≤ √2} U {ze C| Im z>2}.

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Q: S dx (x²+2x+10) ²

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Q: a. [8t7dt dx b. S sin x tanx C. d. S [ 26* dx 3d8 √8

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Q: Find y': y = cot 0 sin 0 O sin² 0 1-tan²0 O1+sin² 0 cos³0 O-1-cos² e sin³0 3

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Q: 5 n=1 (n-1)! (n + 2)!

A: We can say that if sum of the series is finite then the series is converge.

Q: Find y': y = ez² + 3x² + e²e Oy = e + 3x ln x + e²ex Oy' = e + 3x²-1 Oy = e + 3x² In a Oy = e +…

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Q: Find dy dx In y = e sinx Ody dx dy dx O dy dx O dy da - = = 1 = ye" sin x ye" cos x 1- ye" cos x yey…

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Q: Find the derivative of the following exponential and trigonometric functions: please attach your…

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Q: Question 4 (a) Solve the following: (b) Explain with the aid of a sketch how this value can be…

A: Above question is solved.

Q: Find the average value of the function f over the interval [0, 15]. 4 f(x) = x + 1

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Q: Use the Laplace transform to solve the given initial-value problem. y'' − 4y' + 4y = t,    y(0) =…

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Q: Find the arclength of the curve y = 3x² + 5 on [0,3].

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Q: Question 4 (a) Solve the following: [²4x¹dx (b) Explain with the aid of a sketch how this value can…

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Q: Integration of { 8t^7dt

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Q: Differentiate the function with respect to the independer X f(x) = +e5x + e 2 e (x) = 0

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Q: Let V be the volume of the solid obtained by rotating the region above the x-axis and below the…

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Q: dr Suppose dx dt dy 4, = 3. Find given that r = dt dt x = 8 y = 2 Write your answer in exact form,…

A: Topic = Derivative

Q: x5 + x² + 4x³ + 4x² + 4x + 4 dx (x² + 2)³

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