Use the estimate to approximate f(99). (Use decimal notation. Give your answer to four decimal places if necessary.) f(99) = Find the error using a calculator.

Q: Is Wa subspace of the vector space? If not, state why. (Select all that apply.) W is the set of all…

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Q: Calculate the area of the parametric surface given by: r(u, v) = 2 sin u cos vi + 2 sin u sin vj + 2…

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Q: S₂ (1-t) ² dt 2

A: Solution

Q: Determine the location and value of the absolute extreme values of f on the given​ interval, if they…

A: The function is given as , fx=8x33+14x2-16x find the location and value of the absolute extreme…

Q: Evaluate the indefinite integral given below. Provide your answer below: f(-5x-3)³ dx = ¯ [(-5 (-5x…

A: The objective is to evaluate the integral.

Q: Determine whether the series is absolut Σ n = 1 sin(n) 57 O absolutely convergent conditionally…

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Q: Calculate two iterations of Newton's Method to approximate a zero of the function using the given…

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Q: Find the largest interval centered about x = 0 for which the given initial-value problem has a…

A: We have to find the largest interval centered about x = 0 for which the given initial-value problem…

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an 00 Since…

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Q: Find the indefinite integral. x + 7 √x² + 14x5 Step 1 J To find the indefinite integral dx x + 7 x²…

A: Topic = Integration Fill the blanks with   du = (2x+14) dx

Q: The arithmetic sequence bn is defined below. Find b3. b1=-2 D=-4 B3=?

A: The objective of the question is determine the b3 of given arithmetic sequence.

Q: Please solve for part a of the problem provided in the photo below

A: Use partial derivative

Q: Solve

A: Topic:- solution of differential equations

Q: Let g(x, y, z) = xy + yz + zx. Find a nonzero vector perpendicular to the level surface g(x, y, z) =…

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Q: Define f by f(x,y) = ["h(t) where h is some continuous function of one variable such that h(0) h(1)…

A: We have to solve above question.

Q: Use the properties of the derivative to find the following. r(t) = ti + 4tj + t2k,   u(t) = 5ti +…

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Q: 7. Suppose the equation əz ar is a differentiable function of r and y implicitly defined by 2³ = y²…

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Q: Q2: Solve the following first-order differential equation x.e +y.- = 0 for y(0) = 1; x = 0. dx (2)…

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Q: 17. Assume that f'(x) = (x - 1)(x - 2)²(x-3)³. (a) Find the interval(s) on which is increasing. (b)…

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Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: answer is in next step . please give a like !!

Q: Find all solutions to the equation. tan 0-1=0 Write your answer in radians in terms of it, and use…

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Q: The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: lim X→+ 2 In x² 3 In (x+4) ³

A: This question is based on limits solved using L hospitals rule.

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: Topic = Series

Q: Use the table below to answer the following question. What does the number "10" in the lower right…

A: We have to choose correct option.

Q: Find the solution of the equation correct to four decimal places. In (ex-3) = 6 Select the correct…

A: Given that     ln(ex - 3) = 6

Q: Find the derivative of y = ln(x + √√√x² + 1

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Q: Use the Root Test to determine whether the series convergent or divergent. Identify an 00 n = 1 מס →…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. 1 3 y…

A: y=8x13, for 0≤x≤18, about y-axis

Q: Using [ y = e^(2x) (c1 + c2) + 3/2x2 (2x) ] and [ y = ( c1 + c2x ) e^(2x) + 3x/25 sinx + 4x/25 cnx +…

A: The given differential equation is;  y'' - 4y' + 4y = 3e2x + xsinx

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable.   lim x→∞…

A: The given limit,      limx→∞1+axx, for some constant 'a'

Q: Problem 5 Using Laplace transform, solve y" - 4y + 7y = 0 y(0) = 3, y'(0) = 7

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Q: Use identities to find values of the sine and cosine functions of the function for the angle…

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Q: 6. Consider the function f(x, y) = cot ¹(1+x) — 2e¹+³y If x = s²-t² and y = 3t+tan(1-s), use the…

A: Let's evaluate given partial derivative.

Q: Find the indefinite integral. (Use c for the constant of integration.) [(4t³i (4t³i+ 14tj -7√tk) dt

A: The given integral is;  (4t3i +14tj -7(sqrt(t))k).

Q: Compute the integral dx.

A: As we know that ∫xmdx=xm+1m+1+C see below the answer and calculation

Q: 16. Find the quadratic function such that f(4) = - 26, f‘(4) = -19 and f“(4) = -6.

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Q: Which of the following provides the curve of intersection = 14? of the surfaces z = √√√x² + y² and…

A: We have to find the curve of intersection of the surfaces  z=x2+y2  and  x2+y2+z2=14.

Q: Find the points on the graph of the function that are closest to the given point. f(x)=x²-3, (0, -1)…

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Q: Minimize c = x+y+z+ w subject to 5x - y + w ≥ 4,000 z + w≤ 3,000 x + y s 700 x ≥ 0, y ≥ 0, z ≥ 0, w…

A: Min c=x+y+z+w5x-y+w≥4000       z+w≤3000x+y    ≤700x≥0,y≥0,z≥0,w≥0

Q: Match the equation with its graph. r(t) = cos(nt)i + sin(лt)j + t²k, Need Help? + 2 Z -2 Read It N₂…

A: Given problem:- r(t)=cos(πt)i+sin(πt)j+t2k  To find:- Draw the graph of given curve

Q: 2) Is A P Q R a right angle triangle P(-5,3) Q(-7,8) R(3, 12) and it. name

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Q: Set e кад dx

A: To solve the following problem

Q: Evaluate lim (x) x-0 f(x) . . . . . . . . . . . F . . y 4 f(x) g(x) X

A: See this solution in below

Q: Use the information given below to find sin (a-ß). 12 5 12 tana= with a in quadrant III cos ß= 13 I…

A: Find sin(alpha-bita)   When tan(alpha)= 12/5 in third quadrant  And cos(bita) = 12/13 in first…

Q: Given f(x,y) = f h(t)dt Where h is a continuous function of one variable such that h(0)= 1 and h(1)=…

A: We have to find Fx (0, 1) and Fy (0, 1) and local approximation.

Q: Say a candidate is running for mayor of a city. During the incumbent mayor's first year in office,…

A: Given that Say a candidate is running for mayor of a city. During the incumbent mayor's first year…

Q: Q2 a) Find the parametric equation of the line that passes by P(1, 2, 2) and that is parallel to the…

A: We have to solve above question of vector and 3D.

Q: Let R be the region bounded by y = x², x = 1, and y = 0. Use the shell method to find the volume of…

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