Question 1: Differentiate the functions. 3 a) f(x) = 1– 5x +x7 b) f(x) = (x³ + 4)²

Q: 8 プ+5

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Q: dx The integral can be re-written as (A) (2-2 V1-m ) lim m- 00 B none of the choices lim (-2+2 /1-m ...

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Q: Calculate F. dS where F = (e sin Y, cos y, yz?) S is the surface of the box bounded by the planes x ...

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Q: Make an appropriate u-substitution, and then use the given Integral Table to evaluate the integral. ...

A: Topic = Integration

Q: A vertical wall makes an angle of radian measure źr with the ground. A ladder of length 20 ft is lea...

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Q: Let g(x) be the inverse function to the differentiable function f(x). If f(0) : = 1 and f'(0) = 3, f...

A: Given, g(x) is inverse of differentiable function f(x). f(0)=1 f'(0)=3

Q: rivat If f be fu Hence, we vative of vative of vative of

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Q: 3.2 m high and 6.4 m from a wal

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: Explanation of the answer is as follows

Q: 2x² + 3x +3 dx (x + 1)

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Q: A region is enclosed by x = y² and x = k , where k is a positive constant. The area of the region be...

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: f(x) =(x^2/3 − 1)^2 -Take note that the 2/3 is the exponent of x -please answer sub part c,d,and e...

A: According to question,Given Function,fx= x23 -12

Q: nt) Detemine coefficients a and b such that p(x) x + ax +b satisfies p(1) = 0 and p(1) = -4. %3D %3D...

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Q: kt Use the exponential decay model, A= A, e k, to solve the following. The half-life of a certain su...

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Q: 5x² tan( 3x³) dx. If u= 3x³, then the resulting integral is Jf(u) du. Find . 5/2 A 18 5/2 18 5 18 D ...

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Q: If the limit of x->3- and x->3+ is +♾️, while f(3) is 2, is this a removable or infinite essential d...

A: Given

Q: 6 du Consider dx. Transforming the integrand, the result will be where k is a constant. What is u an...

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Q: Graph the two equations x+y= 0, and y = - (x-1) and find the points in which the graphs intersect

A: 1. Given x+y=0y=-xtf x=0,y=0if x=1 ,y=-1if x=2,y=-2Graph passing through origin .2. y=-x-12if x=0,y=...

Q: Alzheimer's Disease As baby boomers enter their golden years, the number of people afflicted with Al...

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Q: In general, a partial fractions integral with a repeated irreducible quadratic factor will result in...

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Q: 4 8 %3D 4x+ 12 2-9 x-3

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Q: Given the following power series, find the radius of convergence. HINT: Determine if you want to use...

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Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and then find the nth Maclaurin polyno...

A: f(x) = 16 ln(1+x)f0(0) =16 ln(1)f0(0) =0f1(x) =f'(x)=16x+1f1(0)=16f2(x) =f''(x)=-16(x+1)2f2(0)=-16f3...

Q: dx J. (3+x²)$/z

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Q: Use technology to maximize the following. You may round answers to 2 decimal places if desired. Maxi...

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

A: solution:-f(x)=1x2,     n=4,       c=4f'(x)=-2x3f''(x)=6x4f'''(x)=-24x5f4x=120x6

Q: Suppose that ()=-6 and ()-4, and let g(x) f(x) sin cos x and h(x) = Answer the following questions. ...

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Q: I = 2т dxdydz Is

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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: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: ∑k=0∞78k+2

Q: (a.) the critical

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e-X, n = 5 2 3 4 5 P5(x) = 1-x+ 6 24 120 ...

A: Note that, the function ex is: ex=1+x+x22!+x33!+x44!+x55!+...⇒e-x=1+(-x)+(-x)22!+(-x)33!+(-x)44!+(-x...

Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x f(x) = 1 + ±x+ ...

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Q: Let y(x) be the solution to the following initial value problem dy (In x)4 y(1) = 3 dx xy² Find y(e)...

A: Given:  dydx = (ln x )4 x y2    y(1) = 3  

Q: Let f(x) = 7x2(x – 11) + 12. Find the critical points c that correspond to local minima.

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Q: (4x + 8x - 9x - 7)dx 2. 2x -1

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Q: Use the difference a -a, to show that the given sequence (a,] is strictly increasing or strictly dec...

A: The given sequence is; {an} = n/(3n-2).

Q: Find f'(x) for f(x) = (x² +4) sec(x) f'(x) = x^2secx+tanx+4secx tanx+2x secx %3D

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Q: 10. Using Stoke's theorem, evaluate y dx+ xz dy+x² dz where C is the boundary of the triangle cut fr...

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Q: Question 3 Given: Using u-substitution and transformation of integrand, what is u and du? dx. 3Vx-2r...

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Q: Consider dx. Which of the following options is correct? 9+x6 1. lim Arcsin lim Arcsin 6. 6. 3 B none...

A: Given

Q: sin 3x Given: -dx What is the appropriate formula to find the integral? cos? (3x) (4-3 sec 3x) du (A...

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Q: Find the nth Maclaurin polynomial for the function. f(x) = eX, n= 5 Ps(x) = ||

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Q: Consider -dx. Using u-substitution and transformation of integrand, then the power formula applies; ...

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Q: Ay 165- P(1.5, 132) The tangent line to the graph of f(x) at the point P(1.5,132) is shown to the ri...

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Q: You plan to save money for a down payment of $42,000 to purchase an apartment. You can only afford t...

A: Please see the below picture for detailed solution. 

Q: Find the area of the shaded region in the figure. (Round your answer to two decimal places.) 120 ° 8

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Q: Evaluate the limit. (Use symbolic notation and fractions where needed. Enter DNE if the limit does n...

A: The given limit,       limx→9ex2-e81x-9

Q: A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will res...

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