Find the derivative of the function. Express the answer using positive exponents only. y = (4x5 – 11)3

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 17 Σ…

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Q: Find the derivative. Simplify where possible. |(a) y = ln(coshx)

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Q: Current Attempt in Progress Find the solution of the given initial value problem y" + 9y' = 0, y(0)…

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Q: y" + 6y' + 8.96y = 0 y" + 2ny' + 7²y = 0 y" + 4.5y' = 0

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Q: Solve the problem. A certain object moves in such a way that its velocity (in m/s) after time t (in…

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Q: Find a positive number z such that the sum of its reciprocal and 5,324 times its square is as small…

A: Let the number is x than we need to minimize function f(x)=1x+5324x2, x≥0

Q: If f(x) and g(x) are continuous functions, then S[f()+g(x)] dx = JS f(x) dx + ƒ g(r) dr. O A. False…

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Q: 00 e ms lledioland 5: A party planner is trying to hang a sign between a house and a palm tree for…

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Q: Find and describe the intersection of the following planes: T:3x+2y+5z-4 = 0 T: 4x-3y+=+1=0

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Q: The angle of clevation rm a puinit on the prosnd N the top of e tree in 33.6 depreces. The angle of…

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Q: II) By using the limit definition of derivative, prove the identity J dzf(2)8' (2) = - / da f…

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Q: 3. Suppose f(x) dx = 8 , f (x) dx = -2, g(x) dx = 3 Evaluate the following integrals: a) 3f(x) dx =…

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A: The given line 35x+12y=0

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A: We have to find the change in cost C.

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Q: n y = -5e0.

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Q: Hence, determine whether the function is continuous at x = 2x. ) Find the value of k such that the 5…

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Q: The result of the following double integral is 2 2 у ST (6 x² y - 5 e)dxdy= ? 0. -2 y 909 -20e? +…

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Q: Find an equation of the tangent line to the curve at the given point. y = sec(x) – 2 cos(x), P = 1 3

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Q: 4 8 Suppose the sequence {b1, b2, b3, ...} is given by {-1, , 9' 27 Which, if any, of the following…

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Q: 4. The outline of a rugby ball has the shape of + = 1. The ball itself is the y2 30 16 revolution of…

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Q: EXERCISES 4:Find the tangent line at the given point 1. Xy = -4, (2, –2)

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Q: t³ Vt² + 4dt

A: To evaluate the given integral by using integration by parts.∫-11t3t2+4 dt

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Q: of ду

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Q: 4. Express the following single logarithm: as a i) log3 54 -log3 6 ii) 2 In (5a’b) – In (125 aº b²)…

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Q: Find the tangent lines as directed. To the ellipse x²+4y²=8 parallel to the line x+2y=6.

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Q: -f(x – 2)dx

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Q: Solve the following system if possible (ie find point or line of intersection) and classify it using…

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Q: Find the tangent lines. To the cubic y=x³-2x+3 parallel to the line 10x-y=3

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Q: Find the general solution of the following differential equation. y" + 6y' – 16y = 0 NOTE: Use c,…

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Q: Evaluate the following integral by changing to cylindrical coordinates: 4–y2 3 xz dzdrdy. x²+y2…

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Q: The function T(t) = 43.6 + 5t - 0.3t2, 0 sts 6, gives the temperature T as a function of time t.…

A: Given query is to find the average temperature for the 6 hour period.

Q: 2x²+5x 3<0 1 Add file 16) Use the position function below to solve the following problem. A…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3) Chain rule: y = (3x2 - 3x- 2)2 1/2

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Q: Plot the following functions over the defined

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Q: 4. Find the critical points of each function and use the Second Derivative Test to classify the…

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Q: How many different direct routes are there from point A to point B in the following figure? A

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z² (9,…

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Q: Q2/ Complete the following table to find the values a , b,c and s y A -1 2845 308 3162 S 3544 a 2…

A: Given

Q: Question Given the triangle below, find the angle 0. 19 10 Give your answer in radians rounded to…

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Q: Use the limit definition of the derivative to compute the equation of the tangent line of f (x) =…

A: We have to compute the equation of the tangent line of f (x).