Find the second-degree Taylor polynomial for f(x) = 4x? – 3x + 8 about a = 0. P2(x) = What do you notice about your polynomial?

Q: (a) f(x) = (2x – 1)*(3x – 2)³ (b) f(x) = [(x – 3)(5x + 1)]³ (c) f(x) = Vx cos ((3x + 2)²) %3D CoS (d...

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Q: 3. у %3D In(5 — е**) 4. x = et (cos 2t + 2 sin 2t)

A: Topic:-  derivatives 

Q: The demand equation for a certain product is 3p+2q = 1900, where p is the price per unit in dollars ...

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Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the ...

A: As per our guideline we are supposed to answer 3 subparts of a question 

Q: 2. Graph the function f (x)= x+ Vlx\ . Zoom in repeatedly, first toward the point (-1, 0) and then t...

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first ...

Q: (x² + 1)y' + 2.xy + 2x = 0

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Q: . (Subsonic flight) The efficiency of the engines of subsonic airplanes depends on air pressure and ...

A: y'(x) ∝ ydydx = -k y(Pressure decrease with moving above sea level)∫ dyy = ∫ k dxln y = -k x + ln Cy...

Q: 5-4x2 dx 3+ 2x

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Q: Solve the differential equation (r² + 1)y – 2ry – 2x = 0 using the method of exact equations;

A: Differential equations

Q: Modeling a plane for takeoff. Using differential get the takeoff speed after 1 min. • (Airplane take...

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Q: Question 1: Find the limits of the functions below a) lim,-3 2x3 sin x b) lim,

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Q: 2x – x3 - 1. Evaluate dx. J (x – 1)²(x² + 1) - 2. Use the previous item to determine if the improper...

A: We have to solve integration

Q: 2x dæ (ӕ — 1)* (а? + 1)

A: NOTE: Refresh your page if you can't see any equations. . use the partial fraction  ..................

Q: Find an equation of the line that is tangent to f(x) = x and parallel to the line y = 3x + 1 (Hint: ...

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Q: Determine point(s) where the tangent

A: First we find out the slope of given Line and curve then find out the point.

Q: 3. A woman in a hot air balloon drops her GoPro Hero 10 when the balloon is 175 ft above the ground ...

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Q: Let

A: We will find the partial derivative with respect to x. 

Q: 14. Jim (x-3)csc TDX x→3

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Q: Evaluate the following limits. + Vw)(2 – w² + 3w*) 1. lim (1

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

Q: Consider the following functions. f(x) = x and g(x) = |x| %3D Step 2 of 4: Find (f - g)(-2).

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Q: terms of the variable. dx 140 (1+x² )?

A: Given problem:-

Q: Write a function in any form that would match the graph shown below. 20 16

A: Given: - The graph of the function is, To find: - A function in any form that would match the graph...

Q: A box with a top is constructed from a piece of 200-cm by 400 out and the flaps are folded to make a...

A: Given: - A box with a top is constructed from a piece of 200 cm by 400 cm cardboard. The shaded regi...

Q: 2x – x3 dæ (x – 1) (æ² + 1)

A: The objective of the question is evaluate the indefinite integral.

Q: 2x – x3 dx (x – 1)° (x² + 1)

A: If value of integral is finite then convergent otherwise divergent

Q: t' sin (2t*) dt Evaluate O 1/8 t^4 sin(2t^4) - 1/16 cos(2t^4 )+c O -1/8 t^4 sin(2t^4 )+1/16 cos(2t^4...

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Q: Directions: Find the derivative of the following functions: 1. y = sec 5x 2. y = 4 cot u 3. y = cos ...

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Q: Use the disk/washer method to set up a definite integral (set up only, do not evaluate the integral)...

A: Given :x=2yx=0y=9rotate about x=7

Q: For the given function f(x), determine the equation of the tangent line at the point P(1,1) f(x) = v...

A: Equation of tangent line

Q: Use the method of partial fractions to evaluate each of the following integrals. dx 206 J-10x² +9

A: Given:   ∫1x4-10x2+9dx

Q: d²s dt2 sin 3t + cos 3t |

A: In this question, we need to find s.

Q: (I+ 3x)²

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Q: 1 - cos2A The (1 eJ (1+1+ cos2A) dA is equal to A. tan 2A + C B. cos 2A + C C. cos A + C D. tan A + ...

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Q: Fo, and then find xo = In9 a?(x + In9)² 2! a (x + In9) 4! In9)? a^(x – In9)4

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Q: - 3x 2 + (コメオリ)』 = e Jス

A: Given: - The differential equation is, xdydx+(3x+1)y=e-3x To solve: - The solution of the given equa...

Q: Find the radius of convergence and the interval of convergence. 00 (x – 3)* 2* k=0 1) First apply th...

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2x - 4xy + 3y -...

A: f(x,y)=2x2-4xy+3y2-4x+4y+5fx=4x-4y-4consider fx=0⇒4x-4y-4=0⇒x-y-1=0⇒x-y=1 fy=6y-4x+4consider fy=0⇒6y...

Q: I have included one line of the whole solution in the questionnaire. Analyze if this included part o...

A: y = ln(1-5y2 +y3) now differentiate it y' = (-10y+3y2 )/(1-5y2 +y3) here between (+) sign so there a...

Q: 2(14 – 2)² dx = (14 – x)² dx %3D

A:     ∫ x1314-x2dx=∫ 196x13-28x43+x73dx=∫ 196x13dx-∫ 28x43dx+∫ x73dx=147x43-12x73+310x103Add a constan...

Q: Evaluate 4dx (5x – 3) O 4/5 In(5x-3)+c O 5/4 In(5x-3)+c 5 In(5x-3)+c O 4 In(5x-3)+C

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Q: Question 2. Prove g*g"t" is not regular.

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Q: Evaluate the following integrals. dr x²Vx² – 9 13

A: We put x= 3sec(u) and differentiate both sides with respect to u and find the value of the given int...

Q: a) f (x) = 6x5 – 3x? + 9x – n b) h(x) =D + vZx-제

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Q: _8. If y = (2x + 7)², then what is ? dx а. dx dy 2(2x + 7) C. dx dy = 2 %3D dy dy b. dx = 4x d. = 8x...

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Q: Question 3: Evaluate the following limits, if they exist, by using the graph -5 -4 -3 -2 -1 3 -1 -2 ...

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Q: Find the points on the surface z = xy + 81 closest to the origin. The points on the surface closest ...

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Q: dx 4. S x²Vx2-9

A: 4). Given: I=∫dxx2x2-9   ....(1)   As we know from the trigonometric identities; 1). cosx=1secx 2). ...

Q: Evaluate the algebraic expression for the given values of the variables. -x - 3xy + 3y°; x= - 1, y= ...

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Q: 1. Determine which sets are vector spaces with standard vector addition and scalar multiplication. I...

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Q: 500 where r is the mortgage A county realty group estimates that the number of housing starts per ye...

A: According to bartleby guidelines I can only answer one of the questions given.