Q1 Consider the plane curve defined by the parametric equations x = p + t sin(t),y= p² + t cos(t). Calculate the Arc length of the curve over the domain 0

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Q: Give two Combined Variation example problems and their solutions

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Q: Strontium-90 has a half-life of 28 days. (a) A sample has initial mass of 50 mg. Find a formula for ...

A: Formula for the mass

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Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the ...

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Q: Directions: Find the extrema of the following function on the given interval, and determine the valu...

A: Since you have posted multiple questions which are not interlinked i can do first question as per ou...

Q: values

A: We will find the value of x between 0<x<10.

Q: Consider the following. f(x) = x* - 4x3 + 4x² Find f'(x). f'(x) = Compare the graphs of f and f' and...

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Q: Find the directional derivative of the function h at the point (1,1,1) in the direction of vector v....

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Q: A solid E lies within the cylinder x2 + y2 = 1 below the plane z = 10, and above the paraboloid z = ...

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Q: y" + 2y' + y = 7 + 75 sin 2x

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Q: 2 y = 2x – x¯, y = 2x² – 4x

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Q: 15–18 Find the angle between the vectors. (First find an exact expression and then approximate to th...

A: 18) Given,  a=i→+2j→-2k→b=4i→-3k→ cosθ=a→.b→a→b→ a→.b→=i→+2j→-2k→.4i→-3k→      =4+0+6a→.b→=10 a→=12+...

Q: Find dy/dæ in terms of t if x = te', y = -2t – 2e dy/dx = %3D

A: topic =derivative

Q: sin -x/3) dx xp. Evaluate the integral| 19-x sin(x/3)dx -1 dp, %3D X-6/ 9-X

A: We have to find integral

Q: Where is f(x) = differentiable? %D

A: The objective is to check where f(x) is differentiable. 

Q: Evaluate the definite integral. Use a graphing utility to verify your result. T/4 6 sec 0 tan 0 d0 T...

A: As per our guidelines, I can answer only one question. Since you have asked for multiple questions, ...

Q: (B)(10M) Evaluate (y(x)) dx y(x) = cot (csc(sec(In x))) %3D

A: derivative

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Q: Find the directional derivative of f(1, y) = Ie – ye² at (0,0) in the direction of w = 5i – 25.

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Q: 2 4 | 6x V1+4x dx

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Q: 25 The function f(x) is represented in the following table. Give the best estimate for f(x)dx 10 X 1...

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Q: The top and bottom margins of a poster_are 6 cm and the side margins are 4 cm. If the area of the pr...

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Q: 2. Jerry, an electrician, worked 7 months out of the year. What percent of the year did he work?(rou...

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Q: Iff (x) is a polynomial with real coefficients and zeros of 4 (multiplicity 3), -5 (multiplicity 1),...

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Q: Find the scalar and vector projections of b onto a. a = i + j + k,   b = i - j + k

A: Given vectors, a = i + j + k,   b = i - j + k

Q: Prove the identity. (Recall sinh(a + b) = sinh(a) cosh(b) + cosh(a) sinh(b).) sinh(2x) = 2 sinh(x) c...

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Q: The intensity of an earthquake can be measured on the Richter scale according to the following logar...

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Q: ... What is the value found using the linear approximation? Convert any degree measures to radians. ...

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Q: If r = 26 cm, what is the area of this sector? Express your answer to the nearest tenth of a centime...

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Q: Ĵ3xco0s(4–x²)–8xV4-x° dx

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Q: Find the derivative of the function. (2) = earcsin{z³) f'(z) = Need Help? Read It

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

Q: ||v|| = 1 %3D ||w|| = 5 %3D The angle between v and w is 1 radians. Given this information, calculat...

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Q: S- -dx xV 64 + 9x

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Q: [17(xe" +e* )sin(xe*)-14sin(x)dx

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Q: Find the angle between the two given vectors. u = (1, –4, 1), v = (0, 2, –2)

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Q: Find the volume of the solid. y=x2, x=0; x=2, y=0, about the x-axis

A: use the volume of solid of revolution formula,

Q: Find the dot product of the following vectors u and v. %3D

A: The dot product of u and v Vectors is -16

Q: OA rectangular field is enclosed by on Four sides by a fence. Fencing costs foot för two opposite si...

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Q: Use the Integral Test to determine the convergence or divergence of the p-series. 1 n8 n = 1 Σ 1 dx ...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Gravel is being dumped from a conveyor belt at a rate of 40 ft/min, and its coarseness is such that ...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: 2 y = 12 – 3x", y = 4 – x 2

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Q: Find the unit vector in the direction opposite to v = (1, 3).

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Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = (9,3), v = = (-2, ...

A: We can check whether the two vectors are parallel, orthogonal or neither by definition as below.

Q: Find the exact and approximate time from Feb. 4 to April 21, 2021

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Q: Evaluate the following integral by changing the order of integration: S,2 Vx sin x dx dy y2

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Q: For each differential equation in Problems 1-21, find the general solution by finding the homogeneou...

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Q: stion e graph of the function to find its domain and range. Write the domain and range in interval n...

A: Given query is to find the domain and range of the graph.

Q: 17. The equation that models the height above or below equilibrium in inches, h, of a spring over (2...

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