Find the linearization L(x) of f(x) at x=a. f(x)=x/2x+9 a=0

Q: sin (x) Since tan (x) = use the Quotient Rule to explain why Veft ( tan (x))=sec (x) dx %3D cos (x) ...

A: We can find the answer as below using quotient rule.

Q: Evaluate the integral. 3. Vx² + 9 dx V x2

A: Evaluate the integral  of √(x2+9) from 0 to 3. 

Q: dy Use implicit differentiation to find dx 4 3 x'+y = 3x+ 6y` dy dx (Type an exact answer, using rad...

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Q: The position of the particle at time t is given by s(t) = t? 10t + 24. The particle is moving from r...

A: solution is given below..

Q: a. Determine an equation of the tangent line and the normal line at the given point on the curve. b....

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

Q: Frank was planning a 10-week bike riding trip through Europe. • He planned on taking $1,500 with him...

A: Trip amount

Q: 8 EXIF W-f Cxr g), X=2u+3 V 9. y -3u - 2V »Provethat wuv bw xX+5 wXy-6WYY 10 11

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Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 8t - 15t ...

A: Topic:- application of derivatives

Q: a) Consider the surface z = Find the tangent plane to the 3. surface at the point (4, 3, 5). (4.04)3...

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Q: What’s -3 x 5

A: Topic:- algebra   

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 4 – 11t m...

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Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) (x...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (- 1)k+1 k9/8 ...

A: The given series is  ∑k=1∞ (-1)k+1k9/8

Q: O solve over all real numbers. 6. cotxsin2x = 5cotx

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: A rocket is fired vertically upward from the ground. The distance sin feet that the rocket travels f...

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Q: (x- 2)" (n+ 1)3" n=1

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Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

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Q: Solve the system of simultaneous equations using Gauss-Jordan method 20x1 - 9x2 + 15x3 = 354 - - 9x1...

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Q: Зх — у %3D 2 x + 2y = 10 x = 2, y = 4

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: The formula for cos(a- B) is sin a sin B- cos a cos B cos a cos B + sin a sin B cos a cos B - sin a ...

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Q: Simplify. Express in terms of tangent and/or cotangent. tan“ x+1 V cot? x+1 cotx tan 4x tanx

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Q: 8x2 + 8x + 2 dx (4x² + 1)

A: 4x^2+1 cannot be fractionised further

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Find your answer below 

Q: 96 95 4 y3 y2 y1 ye x8 x1 x2 x3 x4 x5 x6 (a) Write an expression involving the values of æ and y = f...

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Q: cot x tan' x +- 2 csc x secʻx -1 II

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Q: 13 5 Given: cosa = and A is located in the fourth quadrant; find tang. -5/3 -4/3 -5/4

A: Given that cosθ=35θ lies in 4th quadrantfind tanθ

Q: Consider the following shaded region bounded by the curves y = x/2 and r = y² – y - 4. (a) Draw a re...

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Q: A soccer ball is kicked from the ground with an initial speed of 19.4 m/s at an upward angle of 46.7...

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Q: X = 6. (x)f (q (x 3. = (x)6 (3x 1. Determine the first derivative of the following functions:

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Q: Find the logarithm. log, (4)- Question Help: D Video Message instructor D Post to forum Submit Quest...

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Q: 00 1 dx 2 2 3 X X -9

A: I =∫3∞ 1x2x2-9 dxx = 3 sec tdx =3 sect tant dtx=3 →t =sec-1(0)=0, t=0x=∞→t =sec-1(∞)=π2, t=π2  

Q: If s(t) = 4t3 - 6t2 – 24t + 8, represent the position of a particle traveling along a horizontal lin...

A: Find your answer below 

Q: Sz dx; 2x2-3x+2

A: ∫12x2-3x+2dxComplete the square:∫12x-323/22+78dxSubstitute u=4x-37→dudx=47→dx=74du

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: Elimination of arbitrary constants.

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Q: etermine the equation of the circle graphed below. 10 8. 6. 4 -10 -8 -6 -4 -2 4 6. 10 -2 -4 -6 -8 -1...

A: We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is...

Q: Find an equation for the line tangent to the graph of  F(x)=6xe^x at the point (a,f(a)) for a =3 ...

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Q: Find the indicated derivative and simplify. y' for y = (2 + 7x- 9x²) ex y' =]

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Q: Determine whether the alternating series converges. 2(- 1)*+1 k+ 1 2k + 1 k=1 O The series diverges....

A: Alternating series test: Suppose that we have a series ∑ an and either  an=(-1)nbn  or an=(-1)n+1bn ...

Q: Does the following system have a unique solution? Explain. ​2x – 3y + z – 1 = 0 ​Y – z – 2 = 0 ​X...

A: Cramers rule

Q: In cos (x - c1) + c2 y = In cos x +cj + c2

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Q: f) =e find the equation for the tangent line to f(x) at =0 For the toolbar, press ALT+F10 (PC) or AL...

A: To find the tangent to the following curve

Q: 6x+3 J x+sx +6

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Q: dx Evaluate: V1-u? O T/6 O none of the choices O T/2 O T/3

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Q: If s(t) = 4t3 – 6ť² – 24t + 8, represent the position of a particle traveling along a horizontal lin...

A: Let's find. 

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t-9t met...

A: s(t)=2t³-9t meter  (a) Velocity=v(t)= d/dt(s(t)) v(t)=d/dt(2t³-9t) v(t)=6t²-9 Velocity at t=5 second...

Q: The position of the particle at time t is given by s(t) = t² – 16t + 63. The particle is moving from...

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Q: Using the remainder theorem  determine whether (x-4) and (x-1) are factors of the expression x3+3x2-...

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Q: Given: cosA= -1, sin x = - 12, A is in the third quadrant, and x is in the fourth quadrant; evaluate...

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Q: Find the general Selution yer r the equatiJen S/0x)-14 ()+ 0 By(x) = =D0 dlax

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