Differentiate. Simplify the answer. F(x) = 1+ xex

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

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

A: ∑k = 1∞ (-56)kRatio test;ρ = limk→∞ |ak+1ak| ρ =limk→∞  | -56k+1-65k | ρ =limk→∞  | (-56)k-56 (-65)k...

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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: Given function is f(x)=e4x, c=0 Find the Taylor series  

Q: ズ→27 7. lim v3x2 – 2x + 8 ズ→2 8. lim vx (2x) ズ→20 x+5 9. lim -15 V 2

A: Given query is to find indicated limits.

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A: We have to find if the given series is a convergent series or a divergent series.

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Q: Let f(x) = x“.4x3 Find the derivatine of P (x) and the points, (X,y), where te tingent line is heriz...

A: f(x) = x4 - 4x3f'(x)=ddx(x4 - 4x3)f'(x) =4x3 - 12x2

Q: graph of f(x). 3 4.

A: Find your answer below 

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Q: Activity 2. Evaluate the following limits by applying the different Limit Theorems discussed. 4. lim...

A: Let f(x) be a given function. If f(a) is defined and f(a)=L, a finite real number. Then, limx→af(x)=...

Q: Anti-derivative of this function:  h(θ) = 4 csc θ cot θ + 2 sec2 θ

A: Indefinite Integration

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Q: Determine if lim f (x) = f(c). Write YES if limf(x) = f(c), otherwise NO. Show your proof 1. f(x) = ...

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: Find the slope of the secant line between the values x1 and x2 for each function y = f (x). f (x) =...

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Q: Directions: Consider the function f(x) as shown in the graph below. Determine the limits of a functi...

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Q: Find the radius of convergence of the power series. (If you need to use oo or -0o, enter INFINITY or...

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Q: If the substitution u = x/2 is made, the integral given below is equivalent to 1– (;)° -dx =D 1- u? ...

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Q: find the solutions of these differential equations a. (x + 2y − 1)dx + (2x + 4y − 3)dy = 0

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Q: Sketch the region bounded by the graphs of the curves y = V+ 4, y= 4 – x, and r= 4. Then find the vo...

A: Given :    y = √x + 4     y = 4 - x     x = 4   Volume about x = 4

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)* Σ f(x) = n ...

A: First we use binomial series. 

Q: Derivatives (Show your solution) 1. Find Ay and Ay/Ax given (a) y = 2x +1 and x changes from 3.3 to ...

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Q: A person starts walking from home and walks: 5 miles East 5 miles Southeast 6 miles South 2 miles So...

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

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Q: 10 30, 14 identify the interval on which f is concave down. For the above rational function f(x)

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Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(r) = V9r + ...

A: Given:       fx=9x+5 at x=1  Instantaneous rate of change :    If y=fx, the instantaneous rate of ch...

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Q: x(x2 + y2)2 (ydx − xdy) + y6dy = 0

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Find the radius of curvature of the curver= 4+3 sin 0 at 0 = 0. 3.7665 3.7566 O3.6765 3,5667

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

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Q: (5- 4x2 dx 3 + 2X 4,

A: We can find the integral as below.

Q: S" (2x + 1)ea(x+x)dx, b > 0, a is a constant

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Q: In cof '3x sinAte ech x² 2

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Q: 2. Consrler he follawing linea prcoromming problem a) Construct Ale sholck lca associated th problem...

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Q: Your parents are considering a 30 year $100,000 mortgage that charges 0.5% interest each month.Formu...

A: Given  P= 100000 r= 0.5% n = 360

Q: de 20. J 90² +120 +9 (3y– 2)cy 24. Jy² +2y+17

A: To evaluate the given integrals.

Q: - Find the antiderivative, FCx), and Check your answer of the funetionçiven xZ+3x+5 by f (x)=

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Q: 3. A wagon is pulled a distance of 48 metres by a force of 30N applied at an angle of 51° to the roa...

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Q: Given f(x) = 1 find the average rate of change of f(x) on the interval [6, 6 + h]. Your answer will ...

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Q: One of the methods discussed in Chapter 2 leads to a solution of the following first order different...

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Q: Determine the area of the region bounded by the graph of the curve y- 2 = 2xy and the lines x = 3, y...

A: y2-2=2xyy2-1y=xCurves ⇒ x =y2-1y & x=3   Bounded between : y=1 , y=5 Area be given by A A = ∫y=1...

Q: Find the following limit: Vx² +3 - 2 lim X-1 x? - 1

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Q: solution using Integrating Factors Found by Inspection y(x^3y^3 + 2x^2 − y)dx + x^3(xy^3 − 2)dy = 0...

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Q: 3

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Q: x(2x+3) 17. f(x) =- (x° +1)

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

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Q: Write the vector shown below as a combination of vectors i and i shown above Vector = Note: In both ...

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Q: The integration expression Jsin(3In(x)+ 4)cos(3In(x) + 4)dx must be transformed into using suitable ...

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