Question 2 Find an equation for the line tangent to the given curve at the indicated point. y6, x3=y2+9x at (0, 1) Oys-1 3

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A: Since you have asked multiple questions in a single request we would be answering only the first (7t...

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Q: Question 2 12x +1 dxp. (2x- 1)2 (3x + 2)² Evaluate:

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Q: 1. What is (3x) ? 2. What is (x*+ x)? 3. What is (2-32)? 4. What is (6v - 3v + Sv)? 5. What is (x-1)...

A: As per the guidelines we can solve 3 parts only 

Q: 14e" dx 1+ e20

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Q: cot (2x) -dx. Evaluate the integral V cot2 (2x)- 15 csc (2x) CSC A --Arcsec 8 +C 4

A: I=∫ cot(2x)cot2(2x)-15I =-∫ -cot(2x)csc(2x)csc(2x)csc2(2x)-1-15 dxcsc(2x)=u-2 cot(2x)csc(2x) dx = du...

Q: lim (Vx2 + 4x + x)

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A: By using the synthetic division to determine we have to check whether x-c is a factor of the given p...

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A: Given that for a certain ice cream company indicates that if the price per cup of ice cream is $50.0...

Q: Compute the LU factorization of the following matrix. No row interchanges will be necessary. You can...

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Q: Calculate F. dS where F = (e" sin y, e" cos y, yz²) S is the surface of the box bounded by the plane...

A: We have to find double integral of F. ds

Q: 1. Consider the function f(x) whose graph is given below. If a discontiuity is Emumerate all discont...

A: Discontinuity

Q: Find the nth Taylor polynomial for the function, centered at c. 1. f(x) n = 4, c = 3

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e¯X, n = 5 Ps(x) = %3D MastarIt

A: Given

Q: When you perform polynomial long division on the rational expression a²+3x+3 the numerator of the re...

A: The rational expression,    x2+3x+3x+1

Q: The graph shown below is f(x) = x2. If g(x) = f(t)d t, find g(3). AY 8 6+ 21 X 4 O g(3) = 9 O g(3) =...

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Q: Using Figure 1, complete the following function. Figure 1 csce = r/u v/u v/r r/v u/v u/r O O O

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Q: A ladder 35 feet in length rests against a vertical wall. The foot of the ladder is 10 feet from the...

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Q: Find the distance between the points (distance formula) 1.(3, 2), (4, -3)

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Q: 一站 Page > of 3 2. (b) of nonzero vector v is The directional derivative off (x, y) at the point (co,...

A: All parts are true. 

Q: Differentiate. f(e) = e cos(e) sin(8) f'(e) = cos (0)sin(0) – Osin (0) +0 cos (0)

A: I have stated the used formulas in the solution

Q: 1. lim (10²-3log x-2(logx)²) X-10

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

Q: Use the binomial series to find the Maclaurin series for the functi 1 f(x) (1 + x)3 |(2-3) f(x) = Yo...

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Q: Find the nth Maclaurin polynomial for the function. 4x - 1 f(x) : n = 4 x + 1 Pa(x) =

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Q: 1 Use the Cauchy's integral test to show that Σ diverges n. In n. In In n n=2

A: Cauchy -Integral  Test series ∑n=1∞ an      converges if integral ∫1∞ f(x) dx finite and  diverge if...

Q: Use the following results, if needed, to determine whether each series converges or diverges. uk con...

A: (a) To test the convergence of the series ∑k=2∞1kln k5-1k5, we will analyze the convergence of the s...

Q: Evaluate lim (r+ 2) cot(²+5x+ 6). 2+-2+

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Q: 8. What is de x2+1

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Q: Question Define Q as the region that is bounded by the graph of the function g(y) = - Vy – 1, the y-...

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Q: Show that the lines having the equations 4x – 3y + 12 = 0 and 8x – 6y + 15 = 0 are parallel.

A: According to question,Given equation of lines,4x - 3y +12 = 08x - 6y +15 =0

Q: The student should estimate the equation 0.24 0.24 + tan [0.247 + 2(0.27)n] π 1 1 =-+-tan(Tx + 2ny) ...

A: Given function: gx,y=xπ+xπtanπx+2πy Point: 14, 14 To estimate: 0.24π+0.24πtan0.24π+20.27π Formulas u...

Q: Answer number 2 to 5. I don't want to waste my money here. I know you can asnwer more than one quest...

A: Topic:- limit 

Q: show that for positive epsilon, |x-4| |3x-12|<e

A: a⇔b implies if a holds then also b holds and vice versa.

Q: 5. S 5u³ In 4u du

A: Note :- These are the multiple questions and according to company guideline we can maximum one quest...

Q: Name: Section: Find the derivative of the following. Show your solutions. 1. What is (3x) ? 2. What ...

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Q: dx The integral where u= f(x) and for some constant, k. Compute (2). reduces to ex + 1 e2 +1 A e? e ...

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Q: Solu) du. rg(u) = Using u-substitution, the integral u+1 reduces to a new integral , evaluate the ne...

A: Explanation of the answer is as follows

Q: lim

A: Put x=0 this is not a indeterminate form. 

Q: Consider the following function. f(x) = −x2 − 14x − 9 Find its average rate of change over the inter...

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Q: Find the nth Maclaurin polynomial for the function. 2x – 5 - f(x) n = 4 %3D X + 1 P(x) = %3D

A: According to question,Given Function,fx = 2x-5x+1n = 4

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: Use Pascal's triangle to expand (2x+3)6 Use Pascal's triangle to find the first three terms only of ...

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Q: 2. (a) With reference to a Cartesian coordinate system 0xyz, find the plane that contains the points...

A: Position vector of points, A→2,1,3 ; B→3,0,2 ; C→-1,1,4The position vectors are relative to origin.T...

Q: Followings are given for f(x) function and its derivative f' (x) Sf(0) =1 f' (0) =5 |F(2)=3 f' (2) =...

A: The given problem is solved below in detail.

Q: Question Define R as the region that is bounded by the graph of the function f(x) = + 2, the x-axis,...

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Q: х — 2 1. f(x) (2? — х + 1)2

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