Find the exact length of the curve. y = 3 + 6x³/2, 0≤x≤1

Q: QUESTION 8 1 POINT A small town in Massachusetts commissioned a study to find the rate of change of…

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Q: Suppose a particle travels clockwise on a triangular path connecting the points (0,0), (3,1), and…

A: greens theorem

Q: If f(x) = cos x - 6 tan x, then find: ƒ'(x) = ƒ'(5) = A 9-

A: See this solution

Q: Fill in the blank. (Enter your answer in terms of t.) ਤੇ s 2 S | 14s + 53 -

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Q: 3. The rate of decay in the mass, M, of a radioactive substance is given by the differential…

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Q: Find the curvature K of the plane curve at the given value of the parameter. r(t) = 8 +²³₁ t=2 11…

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Q: Use the point on the unit circle to find the value of the three trigonometric functions below. Enter…

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Q: Find the area of the region bounded by the curves y = x² and y = -x² + 4x. 9/4 11/3 12/15 8/3 none…

A: Solution: Firstly let's find the limits of the Area since  y = x2 and y = 4x - x2

Q: 4. (True/False) Every point (r, y, z) can be uniquely represented as a point (r, 0, 2) in…

A: Solution: True

Q: Use the Laplace transform to solve the given initial-value problem. y" - 3y' = 4e²t - 2e-t, y(0) =…

A: I have solved step by step in detail....go through the solution

Q: let r be the region enclosed inside y=x2 and y=3x-2 a.sketch the region R. b.Compute the area of the…

A: Given the region R is enclosed inside  y = x2 and y = 3x-2. Interaction between both graphs  x2 =…

Q: Find r(t). u(t). r(t) = (7t − 4)i + 1⁄2t³j + 2k u(t) = t²i8j + t³k r(t). u(t) Is the result a…

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Q: The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in…

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Q: Using geometry only, find the area under the curve. Include a sketch of graph for each region. Give…

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Q: the

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Q: III) Given a triangle with interior angles a, 3, 7, and opposite sides with lengths a, b, c…

A: Let's find indicated side and angles.

Q: A system of equations is made up of an ellipse and a hyperbola. Part A: Create the equation of an…

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Q: 3dy √1-4y² xdx cos² (x²) 2 4. Solve - 5. Solve - 6. sinx dx secx

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

Q: Find the equation of the tangent line and the normal line at the point corresponding to the given…

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Q: Find the gradient of the function at the given point. w = 6x2y-9yz+z2, (1, 1, -2) O 18i+ 33j+ 13k…

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Q: cm min A spherical snowball is melting at a rate of 5.9- snowball's volume is 972 7 cm³? The radius…

A: Take the volume of sphere and derivate it with respect to t and then put values

Q: 5). Use the Integral Test to determine whether the infinite series is convergent.   ∞ 7n (n2 +…

A: Let's find series converges or diverges by integral test.

Q: Find a formula for the sum of n terms. Use the formula to find the limit as n - (+ + -) (²) lim

A: We can evaluate the sum of n terms by using the following results.

Q: Find the Taylor Polynomial de degree 3 centered at a = f(x) = x ex 0³ T₂ (2) - 1 - 2 + 1 - 2 ○ T3 a)…

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Q: Find dx dt dx dt at x 2 if y= = - 2x² - 1 and dy dt = - 3.

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Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

A: Given,  a=4i-j+8k, b=16j+8k

Q: Equilibrium Price: Cell Phones Worldwide annual sales of a certain product were approximately -14p +…

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Q: Evaluate the definite integral. Jo π sin 5 sin5(x) dx

A: This question can be solved using the concept of definite integrals.

Q: 24. Solve - A. B. 1 csc²0 de 25-16cot²0 4 cote 25 1 5 ·sin-¹ sin cote 25 +C +C C. D. 4 ---sin-cote+c…

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Q: n3 e the following: i) ii) (7x² + 5x+)dx (8x³+2√x++)dx Given that f'(x) = 3x² - 4x + 10x6 and y=f(x)…

A: Topic:- application of integration      Note :- as per our guideline if more than three subparts…

Q: State the coordinates of the intercepts, stationary points, and the inflection point of p(x) = (x +…

A: We need to choose correct option.

Q: Find r(t) given the following. r'(t) = 18t5j+20t¹k, r(0)=2i+18j O r(t)=2i+(18+ 3t6)j + 4t³k O r(t) =…

A: Given,

Q: Find the distance between the point (-1, 1,-1) and the plane 3x - 5y + 2z = 12

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Q: Find the fluid force on the vertical plate submerged in water, where the dimensions are given in…

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Q: Find the area contained between the two curves y = 3x - x² and y = x + x². 71/6 81/5 91/4 62/3 None…

A: This question can be solved using the concept of area between two curves.

Q: Use Euler's method to approximate the solution of the following initial-value problem at t=12t=12:…

A: Given: y′=ln(y+t)          0≤t≤1           y(0)=1         with h=14

Q: Evaluate √2r - Idr

A: Given,

Q: Find a linear equation whose graph is the straight line with the given property. HINT [See Example…

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Q: Find the volume of the solid of revolution formed when the region under the curve y = x over the…

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Q: x-3 dx x+4 5. The differential equation dy 1. produces a slope field with horizontal tangents at x =…

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Q: Find the volume of the solid generated by revolving the following region about the given axis. The…

A: Please see the below picture for detailed solution.

Q: Set up a triple integral for the volume of the solid bounded by z = 7-x²-y² and z=0 O O -√7 -√7-x²-0…

A: To set up the triple integral to find the volume of solid bounded  by given curves.

Q: Which of the following is not an antiderivative of the function f(0) = sin cose? 1 A. sin26+/2…

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

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Inverse laplace

Q: 9. (True/False) If F is a conservative vector field, then V x F = 0.

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Q: In a psychology experiment, the time t, in seconds, that it takes a rat to learn its way through a…

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Q: = A point P is moving along the line whose equation is y 4x. How fast is the distance between P and…

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Q: 8. Estimate the value of x³dx by using the Trapezoidal Rule with n = 4. 8 19 22 36

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Q: A telephone company determines that the duration t, in minutes, of a phone call is an exponentially…

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Q: 2. The slope of the tangent to a curve at any point (x, y) on the curve is. Find the equation of the…

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