Can you please help with the assignment questions. Thank you

Q: Find the Taylor polynomial of orders 0, 1, 2, and 3 generated by f at a. IT f(x) = sin x, a = - 4 Po...

A: Taylor polynomial

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid generate...

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Q: Calculate the first four terms of the sequence, starting withn = 1. bj = 2 1 b, = bn-1 + bn-1 (Give ...

A: b1=2bn=bn-1+1bn-1

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 12...

A: Given series ∑n=1∞ n1212nso an=n1212n

Q: 9. Evaluate the integral J 4x2+9 1 dx

A: We can solve the integral as below.

Q: Find the minimum speed of a particle with trajectory c(t) = (t,14) for t 2 0.5. (Use decimal notatio...

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Q: 2b). Let y* + 5x2y² + yx = 624. A) Find y'

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Q: A particle is moring along ASit reaches to the point 2,6), the y-cordinate S decrea Sing ata rate of...

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: The given integral,        ∫1∞dxx+13

Q: Answer the following True or False: If g(x) is the inverse of a differentiable function f(x) with de...

A: Find your answer below 

Q: Find lim (x,y,z)-(0,0,0) x²+y2+z4 xy+yz?+xz2 if it exists, or show that the limit does not exist.

A:

Q: Evalvate the limit lim Cosx In(x- In

A: Given that: limx→π+cosx.ln(x-π)ln(ex-eπ)

Q: Find the directional derivative of f(x,y) = sin(x+2y) at the point (1, -3) in the direction θ=3π/4

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Q: Let S = E a, be an infinite series such that SN = 3 - n=1 10 16 (a) What are the values of E an and ...

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Q: Find a simplified form of the difference quotient for the function. 8 f(x) = x2

A: We have to find simplify form

Q: Find the first partial derivatives of the function f(x, y, z) = xz – 5x²y³z*.

A: Find the first partial derivative of function f(x,y,z)

Q: Find the indefinite integral in each of the following. Show all necessary solutions. (2x – 3)dx 2. V...

A: Given :∫(2x-3)dxx2+2x+2

Q: oint (, y; 2) is tiver by The temperature at a point (x, y, z) is given by T(«, у, 2) — 1500е s me w...

A:

Q: Compare the right-hand and left-hand derivatives to determine whether or not the function is differe...

A: Follow the procedure given below. 

Q: Find the linearization L(x) of the function at a. f(x) = –9x?, a = -9 L(x) =||

A: Given:- The function is, f(x)=-9x2 To find: - The linearization L(x) of the given function at a=-9

Q: Find equations of the tangent plane and normal line to the surface z + 19 = xe cos z at the point (1...

A: We have to find tangent plane equation and normal line.

Q: 28. 16(V1+x -1) lim

A: Topic = Limits

Q: Write the equation of a sine function that has the given characteristics. The graph of y = Vx, shift...

A: The graph of y=√x shifted 4 units to the right

Q: Find the equation of the tangent line on the function f(x) = arctan (x²) at the point (1,).

A: We can find the equation of tangent line to the curve as below.

Q: If f(x) = 5 sin () , then f'(x) =

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Q: This question has several parts that must be completed sequentially. If you skip a part of the quest...

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Q: f(x) to 2. 2.

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Q: f f(w) = tan (3w), find f'(w). Use exact values. f'(w) =

A: Given query is to find the derivative of the expression.

Q: Find the Taylor series generated by fat x = a. f(x) = 9*, a = 3 Choose the correct answer below. 729...

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Q: Find the derivative of the function by the limit process. Find an equation of the tangent line to th...

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Q: 1+x2+y2 Determine the set of points at which the function F(x, y) = is continuous. 1-x2-y2

A: In this we have to check Discontinuity of equation. 

Q: The following is the graph of a function f(x). 4 3+ 2+ 1- 1, -1 -1- -5 -4 -3 -2 4 -2 -4 -5- Clear Al...

A: Graph of f^-1(x) is symmetrical about line y=x.

Q: The graph of y = \xl, shifted 9 units to the left Oy = |x - 9| O y = |x| + 9 Oy = |x + 9| Oy = Ixl y...

A: If a function is given as y=f(x), then To shift it up wards by k units we use y=f(x)+k To shift it d...

Q: integral f theta^2  cos 3(theta)   d theta

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Q: Describe the level surfaces of the function f (x, y, z) = y2 + z2.

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Q: answer

A: Please refer to the image below

Q: Find the derivative of the folowin g tetion 5(tansc) BIY= Tin1o](Sin )C cosse) Cy'= Dy= %3D Sn( cot>...

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Q: Use y - x(x - 5)2 and its derivative dy - 5x(x - 3)(x - 5) to find each of the following. 18 dx 18 F...

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Q: Use the Integral Test to determine whether the infinite series E 41 is convergent. (Use symbolic not...

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 (-...

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Q: 7. Find T, N, ar, an at t=n. r(1) = 4cos(1)i–4sin(r)j-3rk

A: Tt = r'(t)r'(t) and N(t) = T'(t)T'(t) aT = r'(t) .r''(t)r'(t) and aN = r'(t)×r''(t)r'(t)

Q: Find the absolute maximum and the absolute minimum of f(x,y)= 3xy-3x-6y+1 on the closed triangular r...

A: Given:- The function is, f(x,y)=3xy-3x-6y+1on the closed triangular region whose vertices are (0,0),...

Q: sin x lim 1-e* x→0

A: Given query is to find the limit of the expression.

Q: If f(r) 5 sin (2²), find f'(x). Find f'(0.5).

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Q: Evaluate the improper integral. (Use symbolic notation and fractions where needed. Enter symbol co i...

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Q: Use a calculator to solve the following equation for 0 on the interval (0, T). 1 cot (0) Find all th...

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Q: Find the missing values assuming continuously compounded interest. (Round your answers to two decima...

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Q: Find the abs extrema as well as all values of x where they occur for the domain.   f(x)= x/12 + 1/...

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Q: The three series An, EBn, and ECn have terms 1 1 An 1 Cn = Bn n10 n Use the Limit Comparison Test to...

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Q: Solve eX =9 for x. ... The solution is x (Type an integer or decimal rounded to four decimal places ...

A: Consider  ex=9