Find the arclength of a parametric curve given below for 0 ≤ t ≤ (x(t) = 3 cost (y(t) = 3 sint

Q: The count in a bacteria culture was 200 after 10 minutes and 1700 after 30 minutes. Assuming the…

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Q: Suppose the cost of an object appreciates at a rate inversely proportional to the sum of its squared…

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Q: 5 (x+4)³ For the function f(x) = exist, enter Ø as your answer. X -4.1 -4.01 -4.001 -4.0001 -4.00001…

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Q: 4. Find the derivative of f(x) = 7. A. 7 B. 0 5. What is the derivative of In(x)? B. 1/x A. xln(x)…

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Q: 6. Expand the binomial expression (3x-2)', then simplify.

A: Topic = Algebra

Q: Find the second derivative of fx Fx= -4/square root x + 4x3

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Q: Write f(x) = x 2 − 10x + 8 in vertex form.  precal

A: Given :f(x)=x2-10x+8

Q: 14. Which of the following planes is the equation for the plane with an x-intercept at P(2,0,0), a…

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Q: Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented…

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Q: Evaluate the Riemann sum for f(x) = 1.4 - ² over the interval [0, 2] using four subintervals, taking…

A: Given :   f(x)= 1.4- x2

Q: . Which three points are on the line L: r = (2,-5)+s(2,1), s € R? a. Q(2,1), 0(6,-3), R(2,-5) b.…

A: Explanation of the answer is as follows

Q: A carpenter chisels a square hole of side 2 in. through a round post of radius 2 in., the axis of…

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Q: Find the volume of parallelepiped if A = ai + aj, B = cj + ck and C = bi + bk

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Q: FX= 4x2cosx Find the derivative of FX

A: use product rule for finding the derivative.

Q: find the X values if any at which f is not continuous State whether the discontinuities are a…

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Q: 4x 3 1) cos-- 3) cos- T 4 adton 2) sin 4) sin 5n 3 11 6

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0,…

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Q: Find the intersection of the line 1₁: x-6 2 || y+2 1 with the plane p: x-6y - 2z - 10 = 0

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Q: Compute the following integral: [x²√1 + x¹ dx

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Q: Indeterminate Form 1 1 6. lim x-0 sin 2x

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Q: Find an explicit solution of the given initial-value problem dy y²-1 x² - 1 = y(3) = 3 dx y−1 x-1 y…

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Q: B) Let F(x,y)=√√y-x, then answer the following (For four only): (1) Find the function's domain (2)…

A: According to Bartleby guidelines I can only answer the first three sub questions.

Q: Evaluate the indefinite integral by using the substitution u=x² + 1 to reduce the integral to…

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Q: A hyperbola has aymptotes y=+-3x/2 and vertices at (0,+-6). Find an equation of this hyperbola.

A: Given Asymptotes   ;   y=3x2   ,   y=-3x2Vertices         :     (0, 6)    and    (0,-6)

Q: Find the value of the following derivation y = x ln x sin x

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Q: Q2: Fill the blank: 1) lim (1+)5x x48 4x 2) lim x.e-3x = X-8 3) (csch-¹x³) = = 4) ₂° e-*dx 5) S-…

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Q: Find the product of the following two matrices. 01 -2] - [1436 237 -3 -2 3 0 Columns: 2 Rows: 2

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Q: Use the root test to determine whether the series converges or diverges. If the test is…

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Q: Find the area of the region between the curves y=x and y=x^3 on the interval [-1, 1]

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Q: Find the area of the region enclosed by the functions. 6 3 y=x and y = 8x

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Q: Determine whether each equation is true or false. 1. f sin x dx = cos x + C 2. fcos x dx = sin x + C…

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Q: 1. Find a potential function for the vector fields a) b)

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: Which of the following describes the graph of g(x) = -In(4 — x)? 8 7 5 4 2 2 -30-9-8-4 -6 -10 6 8 9…

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Q: Use the cylindrical shell method to find the volume of the solid Generated by revolving the area…

A: Concept: Shell method: Allow a solid to be constructed by rotating a region R around a vertical…

Q: Solve the equation x^3−2x^2−x −6 = 0 given that x = 3 is a solution.

A: The given equation x3-2x2-x-6=0

Q: Question 2. Find the equation of the plane passing through the points (0, 1,0), (2, 1, 4), and…

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Q: A population of rabbits oscillates 23 above and below average during the year, hitting the lowest…

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Q: Q1// prove one only: tan²x-1 tan²x+1 = 1-2cos²x

A: Topic = Trigonometry

Q: Evaluate the integral. 1 信 sin COS do 20² 20² 1 作素图 sin COS de = |0 | 20² 20²

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Q: 43. f(x)=x³-9x²2 +15x+4

A: Given that, the function is fx=x3-9x2+15x+4. Find the ordered pairs to sketch the function as…

Q: Find the area of the region enclosed by the curves 4x² + y = 4 and x - y = 1.

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Q: Solve the differential equation. dy 5x√y dx

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Q: 3. When a 2-kg block is suspended from a spring, the spring is stretched a distance of 40 mm.…

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Q: Find an equation of the line through P(1,-2,4) with direction vector v=[2,4,-4] Find the equation of…

A: I am attaching image so that you understand each and every step.

Q: (i) Find the shortest distance from the origin to the line 3x + y = 6 and give the coordinate of the…

A: We have to solve given Questions.

Q: Determine if the sequence converges or diverges. If it converges, state the limit. = sin (17), n = ₁…

A: We know that 1n→0. We further know that sine is a continuous function. So,…

Q: Businesses can buy multiple licenses for a data compression software at a total cost of…

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Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = 2 and…

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Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=a and OT=b…

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