Find the derivative of f (x) = 4x-10x2+ 8x-2

Q: | #(9 – In² x)5/2 dx I. Evaluate the following integrals. 1 1. -d.x x(9 – In? x)5/2

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Q: dy Find dz and simplify: y = ln(2x + V1 + 2a²)

A: The objective of the question is evaluate the derivative of the given function.

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Q: Use the 3rd Degree Maclaurin polynomial for g(x) to approximate the value of 0.2 cos(0.1). = x COS…

A: Here, the given function is: g(x)=x cosx2 Now, we know the series of cos x, the series of cos x is:…

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A: The given series,        ∑n=0∞(-3)nx-2nn+2

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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

Q: - Evaluate the following integrals. 1 1. J x(9 – In² x}5/2 dx

A: To evaluate: ∫1x9-ln2x52dx Let, I = ∫1x9-ln2x52dx

Q: If f (x) = |x-1| then lim f(x), lim f(x) and lim f(x) are... respectively x-1 x→1- x→1+ x→1 |x-1|…

A: Let's find.

Q: 4. Find the exact length of the curve. Show All Work and Give Answer In Simplest Form. r = cos“ 2

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Q: Find and d²y then simplify whenever possible. dx dx² 1) у %3D 3t5 — 2t x = 4t3 2) y = t-3 – 7 x = t²…

A: As per the request of student 4th and 5th answer has been provided. This question can be solved…

Q: Evaluate the definite integral. "1/4 9 + 5 cos?(8) cos?(e) de

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Q: Find the general solution of the given system. 12 -13 X' = 13 -12 X(t) =

A: We have to find general solution.

Q: Find the distance between the parallel planes – 2x + y + z = 0 and Edit 10x – 5y – 5z – 26 = 0. -

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Q: y = (cos COS T 4x5

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Q: Find f^(100)(x) whenever f(x)=(x+2)^100

A: Let's find.

Q: If m < f(x) <M for a <x s b, where m is the absolute minimum andM is the absolute maximum of f on…

A: We need to find smaller and larger value.

Q: x² dx J (² – 25)5/2

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Q: Find and dx d²y then simplify whenever possible. dx2 1) y = 3t5 – 2t , x= 4t³ |

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The value of dy/dx for implicit function xy – x + y - 2 = 0 at point x = 1 is ... Nilai dy/dx untuk…

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Q: 2x3 – x² + 2x – 2 dx x²(x² – 2x + 2) - -

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Q: sin sin tdt J (4tcos cost)

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: +00 (-1)" cos(g) = >. g²n for all g e R (2n)! n=0 Calculate by using the 4th degree of Maclaurin…

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Q: 9.) S(5t + 2t2 - 5t - 50)dt

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: log;X + (Arcsin5x)³ b. w = + (Arcsin5x)³

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Q: Calculate the integral, assuming that f' f(x) dx = -3, f(x) dx = 3, f* f(x) dx = 10. %3D (Use…

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Q: 4). | (5 sin 2x) dx = 2

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Q: Q2) Solve the D.E xdy + (2y – x* + 3x)dx = 0

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Q: Write the integral that would be used to find the area of the region bounded by x = 1, y = vx and y…

A: Given: y=x, y=-x+6, x=1   From the given curves and line the bounded region is as shown below; Now…

Q: 2. Find dy/dx: a. 3x? – (xy²)½ = 2y³ b. у%3D (сosx — ях)4x*

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Q: +o0 In(tan -1 x) dx 1+x2 1

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Q: Q4) Find plane area inside the polar function r 2 and outside the polar function sin -0) +1 in first…

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Q: 2.x3 – x² + 2x – 2 dx x² (x² – 2x + 2) -

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Q: 3) у %3D 2u* + 1 x = 5u? – 5u -

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

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Q: Let k be a positive real number. Then f(x) = Vk2 -- x2 is continuous on the interval: . (-k, k) b.…

A: To determine the interval in which the function is continuous.

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Q: Evaluate the following integrals. 2x3 – x² + 2x – 2 dx r²(x² – 2x + 2) | | 1.

A: Since you have posted multiple questions which are not interlinked, i can do first question as per…

Q: eries > 22n (2x – 1)". In? +1 n=1 adius and interval of convergence of the power series. argest…

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Q: Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing…

A: We know that Integration power rule is Integration of xn is xn+1/n+1+C  Here C is integration…

Q: 1 + 2x 2. Find the exact length of the curve y =- 2<x<4.Show All Work and Give Answer In Simplest…

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Q: Q2) Solve the D.E xdy + (2y – xª + 3x)dx = 0

A: This is a problem related to differential equation. Based on the general formula we will answer the…

Q: V3/2 1 dx%3D 6). V1- x 1/2

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Q: Find the sum of the following convergent series: [tan(2n – 1) – tan-(2n + 3)]. n=0

A: Here, the given series is: ∑n=0∞tan-1(2n-1)-tan-1(2n+3) which is a telescoping series. Let,…

Q: Example 7 Sketch the curves (c) r 0 (0 > 0) in polar coordinates.

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Q: Q2) Solve the D.E xdy + (2y-x*+ 3x)dx 0

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Q: Sketch the graphs of the function f and g f(x) = x2 + 2, g(x) = 1 Find the area of the region…

A: Sketch the graphs of the function f and g f(x) = x^2 + 2, g(x) = 1 Find the area of the region…

Q: I. Evaluate the following integrals. cln 2 e2" sec-'(e*)dx Jo #3.

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Q: .. ...... .. .. ... .... The formula for the volume of a cone is given below. Find the rate of…

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