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Q: 0 ≤ t ≤ 1/3. Compute the line integral fry² ds where is the curve r(t) = with

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Q: b(x) = √√√x Answer O 21 2√2|x| t(x) = 2x

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Q: Find af ах af ду af дz Әх af af af af and I Әх ду дz Find their values at (0, -1, 1) if possible.…

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Q: The function f is defined by f(x)= 2 √x x³ - for x > 0. Part A: Find f'(x). Part B: Write an…

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Q: Find the volume of the parallelepiped (box) determined by u, v, and w. u 91 V 9j W 9k The volume of…

A: To find the volume of the parallelepiped​ (box) determined by .

Q: A solid E is bounded by the sphere z = -x² - y² on the top and the xy-plane (z = 0). The projection…

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Q: 10. x³ .3 = 2x-y x+3y

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

Q: Find af Әx af ду af дz af and Әх ду дz = ду = Find their values at (0, -1, 1) if possible. (If an…

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Q: 1 1 Find the area of the surface generated by revolving the curve x = cos (4t), y = 2 + ¯sin (4t) on…

A: x=14cos⁡(4t),y=2+14sin⁡(4t) on 0≤t≤π4 about the x-axis. ddxsin⁡(ax)=acos⁡(ax)ddxcos⁡(ax)=−asin⁡(ax)

Q: 1 A 3 2 1 a 1 To find the blue shaded area above, we would calcula b f(x) dx = area Where: a = 1…

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Q: Given the graph of f (x) shown above, evaluate lim f(x). X-2 Select the correct answer below:

A: Given graph of function

Q: A projectile is launched at an angle of 60° to the horizontal from 6 ft above the ground at an…

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Q: Find the indefinite integral. 20eSt /√30 √5 + est dt Do not include the constant "+C" or any…

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Q: Find a power series representation of for f(x) = convergent, find its sum. x+2

A: f(x)=x2x+2We know the power series of 11+x11+x=∑n=0∞(−1)nxn

Q: find the intervals where the graph of fis concave upward, the intervals where the graph of fis…

A: Firstly find inflection point (f"(x)=0).Concave upward: f"(x)>0.Concave downward: f"(x)<0.

Q: This system has a single critical point. Find and classify this critical point as to type and…

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Q: A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. If water is flowing…

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Q: The amount of income tax, t, an individual owes is defined by piecewise function () and is based on…

A: The amount of income tax, t, an additional owes is defined by piecewise function t(i) and is based…

Q: A certain company produces potting soil and sells it in 50 lb bags. Suppose that 100,000 bags are to…

A: The given problem is an example of the Economic Order Quantity (EOQ) model.The EOQ model determines…

Q: Let F(x) = f f(t) d t Sa f(t) dt, where f is the function whose graph is shown. Evaluate F(7)

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Q: Combine the following into just one log function. (a) 3log(3x+1)+4log(x²-1) Answer: log( (b)log321…

A: First, we need to check the log properties:loga(mn) = logam + loganloga(m/n) = logam – loganlogamn =…

Q: Find all vectors u that satisfy the equation (1,1,1) xu= (-6,1,5). Select the correct choice below…

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Q: 2. The plane z = x +4 and the cylinder x² + y² = 4 intersect in a curve C. Suppose C is oriented…

A: To solve the following problem of finding the line integral over a curve

Q: Let u = (5,-4) and v= (-4,7). Find the (a) component form and (b) magnitude (length) of the vector.…

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Q: If g(x): = sin x, show that the remainder term in Taylor's Theorem converges to zero as n→∞ for each…

A: g(x): = sin x

Q: ag ²g If g(x, y) = ln[x² + (y + 1)²] show that a2 +² = 0 (except at (0,−1)). ar²

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Q: Given the graph of f(x) below, find the graph of the derivative of f(x). Select the correct answer…

A: The left-piece graph represents the upward parabola and the derivative of the parabola is always a…

Q: Find B and for the space curve below. r(t) = (6 sin 4t)i + (6 cos 4t)j + 7tk T = 24 cos 4t 25 4¹) ₁…

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Q: Question Given the graph of f (x) below, what is the open interval(s) over which f'(x) is positive?…

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Q: Rewrite the integral using spherical coordinates, where solid E is between the sphere of radius 1…

A: Given integral,Solid E is between the sphere of radius 1 centered at the origin on the top and the…

Q: Find the combined area of the two regions bounded by the curves f(x)=e*-1 and g(x)=x²e¹-x² shown in…

A: Region is bounded by the curves f(x)=ex−1 and g(x)=x2e1−x3Solving for inter section…

Q: Vectors A and B form a 30° angle. A = 3 and || = 5. What is A - B? a) 36 b) 2.83 c) 6 d) 10.02

A: The angle between the vectors  isThe magnitude of the vectors are and To determine: The value of…

Q: Determine whether the series converges or used. Explain diverges. State the test you you reasons why…

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Q: Evaluate the indefinite integral above. /-x+11dx

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Q: Find the work done by a force of 18 lbs acting in the direction N35°E (this means start by pointing…

A: The objective of this question is to calculate the work done by a force acting at an angle to the…

Q: A student council consists of 15 students. (a) How many ways can a committee of eight be selected…

A: Given that total number of students = 15a) number of ways to select a committee of eight= b) Let A…

Q: Find the particular solution to the differential equation given the initial condition y=2 when x=0:…

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Q: 16) Use Newton's method to approximate the indicated solution of the equation correct to six decimal…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) /co: COS(π/X5) +6 dx

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Q: The demand function for a certain book is given by the function x = D(p) = 50e-0.004p. Find the…

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Q: What is the derivative of f(x) = −‡x³ a at the point x = 3? Type an exact answer.

A: f(x)=−43x23 at the point x=3Using the power Ruleddxxn=nxn−1

Q: Using the € - d definition of limit, prove that 2x lim x 2 x + 6 1 NI

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Q: The quantity demanded x (in units of a hundred) of the Mikado miniature cameras per week is related…

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Q: Evaluate the definite integral a) Find an anti-derivative [2√ada 6 [2√æda 0 b) Evaluate 6 [2√ada = =…

A: To evaluate the following definite integral.

Q: Find the mass of a wire that lies along the curve r(t) = (t² −8) j+2tk, 0≤t≤2, if the 3 density is…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 40 b) lim- 0-0 tan(20)

A: To find:-

Q: blem #3: The inverse Laplace transform f(t) = -¹ {F(s)} of the function e-25(6s - 8) F(s) = S² +49…

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Q: Find the values of the parameter p for which the series converges. Σ(1-5) k=1 Select the correct…

A: The given series .The aim is to find the value of  for which the series converges.

Q: ey-x2 Let f(x, y, z) Find gradƒ(1, 1, −1) and G(x, y, z) = fyy — fxz. X

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Q: Evaluate the integral. S sin (22x) cos (13x)dx sin (22x) cos (13x)dx=

A: To evaluate the following integral.