function f a 1) what is the n f(x) at x=c? what does Taylor} Theo rem say Taylor polynomial

Q: A leaky 10-kg bucket is lifted from the ground to a height of 13 m at a constant speed with a rope…

A: Let x meters be the height of the rope, 0≤x≤13 Therefore mass of the rope, M1=(0.5)(13-x)…

Q: Consider the cubic polynomial 1(X) =X - X. Find the equation of the tangent line of f(x) at the…

A: Topic:- application of derivatives

Q: 9. Convolution integral theorem is to handle * function of two variable's All summation of two…

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Q: Use partial fractions to evaluate the definite integral. Use a graphing utility to verify your…

A: Now, use the partial fraction to reduce the integral and after that integrate it.

Q: A CAT scan produces equally spaced cross-sectional views of a human organ that provide information…

A: Step 1: Hello. Since you have posted multiple questions and not specified which question needs to be…

Q: Use partial fractions to evaluate the definite integral. Use a graphing utility to verify your…

A:

Q: Integration factor of the differe ntial

A: The given differential equation: xdy-ydx=x2y3dx It can be written as dydx-yx=xy3  (i)  (First order…

Q: Find the area (in square units) of the region under the graph of the function f on the interval [7,…

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Q: 9. To verify Rolle's Theorem which one is essential? Continous in closed interval and differentiable…

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Q: A leaky 10-kg bucket is lifted from the ground to a height of 12 m at a constant speed with a rope…

A:

Q: A CAT scan produces equally spaced cross-sectional views of a human organ that provide information…

A: Gien, Cross section area of 15 cm long human liver with 1.5 spaced are,…

Q: Which one is correct? a) Forward difference method is a method of numerical integration b) Backward…

A: In numerical analysis, there are different methods for approximating integrals and differential…

Q: tagrange interpolation polynomial for " the" qunction y = Sinł e, Construct the taking the points…

A:

Q: Let f: (-pi/2 , pi/2) -->R be given with f(t) = tan-1(t) What is taylors polynomial P1(t)  of the…

A: f(t)=tan-1(t),  f(0)=tan-1(0)=0first we find the derivative of f(t) f'(t)=11+t2f'(0)=11+0=1taylor…

Q: sin(0.7z). 3) Find the Taylor polynomial T(z) for having 3 nonzero terms sin(0.7z) T(z): %3D

A: 4. Given that, the function is fx=sin0.7xx. Note that, the Taylor series expansion for…

Q: Compute the number of units x that determine the maximum profi

A: Given that: Cost function , C(x)=30x+100Revenue function, R(x)=-x2+90x

Q: A thin metal plate of uniform density covers the area between the curves y = 2+ 6x – x² and y = 2 –…

A:

Q: A leaky 10-kg bucket is lifted from the ground to a height of 14 m at a constant speed with a rope…

A: Follow step 2 and 3 .

Q: Find the area (in square units) of the region under the graph of the function f on the interval [−6,…

A: Now the diagrammatic representation of the area is,

Q: Find the area in which region lies in first quadrant bounded by v=∛u ,x-axis and line v=u-n. Where n…

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Q: 8. The order of differentiation in multiple integration of continuous integrand A. has six…

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Beta Function Prove that Vtan a do - 1//2.

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Q: A CAT scan produces equally spaced cross-sectional views of a human organ that provide information…

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Q: Empirical Rule.

A: Given that  The pair of kidneys weight normally distributed ( bell-shaped)  with  Mean (μ) = 325…

Q: 2) Dilate ATRK if T(-1,-2), R(1,0), K(0,1) by a scale factor of 3 from the origin.

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Q: acting on it by use of the component method. Show all your work and be sure to make a final…

A: component

Q: Lower and upper bounds are incorrect.  Here is the correct upper bound calculation and answer.…

A:

Q: convolution Theorem to Poove that =Lie-sint-cost) Use 2

A: Convolution of function: The convolution of function f(t) and g(t) is denoted by f*g and defined as,…

Q: e integrand of the definite integral [(8 – x²) – (z³)] dr 2

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Q: Prove of divergence in detail please.

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Q: Find the area (in square units) of the region under the graph of the function fon the interval [1,…

A: to find- area of the region.

Q: Consider the function f(x)=-/2·cos(x)-x+÷ on the open interval (-x , T). Find the intervals of…

A:

Q: Fourier transform

A: This question is related to fourier transform, We will solve it using given information.

Q: nat value of th

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Q: Find the area (in square units) of the region under the graph of the function fon the interval [-2,…

A:

Q: 2 cos x centered at x = 0. Find the Taylor polynomial of degree 2 for f(x)=: 2+x 2 cos x Then use…

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Q: 2e^-x(4-x^2) Upper limit :10 Lower limit : -2

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Q: A CAT scan produces equally spaced cross-sectional views of a human organ that provide information…

A: Given information:  The x-sectional area of liver is given at interval of 1.5 cm. Note : The figure…

Q: f(x) = x*exp(-ax²)

A: Given function is f(x)=xe-ax2 Since we know ℱe-ax2=12ae-ω24a

Q: honic function

A:

Q: A CAT scan produces equally spaced cross-sectional views of a human organ that provide information…

A:

Q: Fourier Transform

A: Fourier Transform is f(t)=F[ω]=[∫−∞∞f(t)e−jωtdt]

Q: Function 1 2 x +1 on the interval (-3,3) and has n=5. Evaluate the function using integration.

A: We will use basic integration.

Q: Find the centroid of the region lying underneath the graph of the function f(x) = 23x' over the…

A: Centroid bounded by the region

Q: A CAT scan produces equally spaced cross-sectional views of a human organ that provide information…

A: Given that  Cross sectional areas are  By using the midpoint rule to find the volume of the region

Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

A: Given: y=7xy=0x=0x=4

Q: ax Use the trapezoidal rule with n 20 trapezoids to evaluate 1= ], 1+2x Also, find the accurate area…

A: I = ∫₁⁷((Vdx) / (1+2x)) I =V  ∫₁⁷((dx) / (1+2x)) where V = 63  Use trapezoidal Rule Now, function y…

Q: 9. Convolution integral theorem is to handle * function of two variable's All summation of two…

A: Convolution integral theorem

Q: +ナノスマー ) rapezoi

A: Given: Trapezoidal rule We have to show that error bound is Mb-a212n2

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.