Please

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: I. Evaluate the following integrals. 1 1. d.x " J r(9 – In² r}5/2"

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Q: Find the derivative. f(x) = 2^x {ln[cot(x)]}^2

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Q: 0 e1/x dx х2

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Q: Given the function f(x, y) = {ln (x2 + 4y2 − 4)} / [x + 1] Express the domain of f as a set…

A: The given function,      fx,y=lnx2+4y2-4x+1

Q: 6. Find the surface area generated by revolving the curve x = 5 cos' t, y = 5 sin' t, 0sts, about…

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

A: We have to find 3rd degree polynomial for the given function.

Q: sin x Let g(x) = . 1 Find the derivative a'(x). dt . 2 1+t3 cos? x 1+ sin x sin x 1+ cos³x cos X 1+…

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Q: Find an equation of the plane through the origin that is parallel to the plane 4x – 3y + 7z + 13 =…

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Q: Determine whether the following series converges or diverges. If the series converges, determine the…

A: 1)∑n=1∞ cos2πnan=cos2πnApplying series divergence test;limn→∞ cos2πnlimn→∞ cos2π∞=cos2(0)=1limn→∞=1…

Q: Remember to show your work! 1. The revenue from ring tones was $448 million in 2010 and appears to…

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Q: Let an = n> 1. In(2" + 1)' 1. Determine if the sequence {an}1 is convergent or divergent. 2.…

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Q: A particle moves along the x-axis with velocity given by v(t) = 6t2 – 18 for time t > 0. If the…

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

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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: Graph the sinusoidal function using key points. 41) y = 1 + cos x 2- 1 -2n TC -1- -27 42) y = 4 sin…

A: Let's find.

Q: Find the general solution of 2x². 2² + y? dx Find the general solution of (2x – y) dy 2y – x d.x dy…

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Q: Find dx * and then simplify whenever possible. dx2 1) y = 3t5 – 2t x = 4t3 2) y = t-3 – 7 ,x = t? –…

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Q: Calculate the following limit: lim,1 a2+5x-6 x2-7x+6 O -7/5

A: we have to find the value of given limit limx→1 x2+5x-6x2-7x+6

Q: 9. x =t² +1, y = 3t² + 2t . a) Find dy/dx Show All Work and Give Answer In Simplest Form.

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Q: 3/2 5. Find the exact area of the surface obtained by rotating the curve x =- Show All Work and Give…

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Q: Why do we most often settle for just answering if a series converges instead of trying to find its…

A: This is a problem related to series and sum calculations. Based on the general concepts we will…

Q: Given: 00 (-3)"(x – 2)" n Vn + 2 n=0 Determine the radius and interval of convergence of the power…

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Q: Find the area of the shac y y=xV4-x 2 y 0 21 y=0 2 square units

A: The region is bounded by the curve y=x4-x2 between x=-2 to x=2

Q: calculate the average value of the function f(x) =5cos(x) over the interval [0,pi/6]

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Q: I. Evaluate the following integrals. 1 1. -d.x J #(9 – In² a)5/2°

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

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Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); u = i

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Q: a) y = 6x2/3 - 4х + 1

A: Follow the procedure given below.

Q: EVALUATE THE LAPLACE TRANSFORM OF THE GIVEN FUNCTION USING APPROPRIATE THEOREMS. S(t) = t2 + 3 t".…

A: Given  Laplace transform

Q: 4 xp£

A: We have to find the integral.

Q: A true statement for the function f(x)=1/x is... 1. O f has an extreme value at the point infinite.…

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Q: The task is to evaluate the function using reversed order of integration. •1 eee-x dx dy 1 Jlny

A: Given

Q: A particle moves along the x-axis with velocity given by v(t) = 6t2 at time t = 0, what is the…

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Q: I. Evaluate the following integrals. Зx3—2х2-4х-3 dx x² (x²+x+1) 2.

A: Given: I=∫3x3-2x2-4x-3x2x2+x+1dx   As we know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

Q: Solve the following equation: 16ª = 8ª+1 O 3 O-3 O 1

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Q: find dy/dx. y= (cosx-pix)^(4x)^5

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Q: A mathematical model for the rate at which a drug disseminates into the bloodstream is given by dx =…

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Q: Let g(x) = F(t) dt, where fis the function whose graph is shown. y 3- fAt) 2- 1 t 8 16 24 32 -1 -2…

A: We have to find the local maxima,local minima and concave downward.

Q: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.…

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Q: Convert the angle in radians tc 11) 7.09 12) V6

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Q: 9. x=t2 +1, y = 3t² + 2t . d'y b) Find dx? .2 Show AllI Work and Give Answer In

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Q: Find rdr 2/2- 27 eVE - 27) Option 1 Option 2 Option 3 None of the choices

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Q: Consider the following function. f(x) = x sin(x), a = 0, n = 4, -0.6 s x S 06 (a) Approximate f by a…

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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: Function f(x)=x°-6x+1 , increasing on interval .. (-00, -V3) and (V3, 0) 1. O (-v2, vz) 2. O (-0,…

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Q: IV. Determine if the given is convergent or divergent. #3. S sin(2 tan¬1 n – n) Σ (2 tan-1n – 1) n=1

A: Solution is given below:

Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci. Show…

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Q: e20 -do 1+ 3e20

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

A: Given problem:- f(x) =x2 ,  Find equation of tangent line which parallel to line 8x-y+16=0