Find the arc length of the function f(x) = x³ +1 on the interval [0.1, 1] Dal

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A: Given:The function on the graph:

Q: Find A. A = (4A)−¹ = || 28 [²8] =

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Q: There is at least one polynomial function which satisfies the conditions below. F(7) = −28; F'(x) is…

A: we have given f(7)=-28, f'(x) is not zero but f''(x)=0.

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Q: Which of the following properties of vectors is incorrect? à × b = b × ā X à · ( b + c ) = à · b ± à…

A: The vectors are  and

Q: Solve the given initial-value problem. x²y" + xy + y = 0, y(1) = 1, y'(1) = 4

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Q: Use a table of integrals to find the indefinite integral. (Use C for the constant of integration.)…

A: By using a table of integrals to find the following indefinite integral.

Q: (c) x² - y² lim 2 (x,y) →→(0,0) x² + y² 2

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Q: Is the function f(x) = 2√x - 3+4 continuous over his domain?

A: We have to check whether the function  is continious over his domain.

Q: Find the area of the following triangle. Round your answer to the nearest tenth. c = 210 ft,…

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Q: fl F(x, y, z) = x² sin(z)i + y2j + xyk, S is the part of the paraboloid z = 4 - x² - y2 that lies…

A: Given:F(x,y,z)=x2sinzi+y2j+xyks is part of paraboloid z=4-x2-y2that lies above xy plane i.e z=0

Q: Evaluate the following double integral. J₁ 2² ²+1 ¹² - dA, D = {(x, y)|0 ≤ x ≤ 4,0 ≤ y ≤ √T}.

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Q: 5.11. Convert the proof of Proposition 5.18 into an algorithm and use it to write each of the…

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Q: Use the Law of Cosines to solve the triangle. Round your answers to two decimal places. O A = B= C=…

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Q: Question 3. Find F where and F(√) = 3. F'(x) = 2x cos(x²)+7√√π

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Q: Please find an equation for the line tangent to the graph of y= √x at the point where y = 3

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Q: find the volume by rotating around the x-axis for f(x)= x/2 and g(x)= sqr(x)

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Q: Find the determinant -12 3 21 of the matrix. 0 3 9 -6 -3 6

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 14. a. As x→→∞, f(x) → c. As x→-3˚, f(x) → e. The graph is increasing over the interval(s) g. The…

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Q: Use one of the formulas below to find the area under one arch of the cycloid x = t - sin(t), y = 1 =…

A: Using one of the formulas, we can solve the question

Q: = cos(2 arcsin()) Dilm i 0 272 0 0 0 0 0

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Q: The equation M(x,y) = 73 +0.8x -0.9y gives the mileage (in mpg) of a new car as a function of tire…

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Q: a. An isosceles trapezoidal drainage gutter is to be made so that the angles at A and B in the…

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Q: Calculate the integral of fox L²x ( ₁ - - ) * x. 10 3

A: Given integral is .It is known that

Q: 1.26

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Q: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

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Q: A force vector has a magnitude of 14 N and make an angle of 20° with the x-axis. What is the…

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Q: 10 i 7 ng y = f(x)

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Q: 9. Find a power series representation for f(x) = = 8 4+x

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Q: Let f be the function given by f(x) = 300x - x³. On which of the following intervals is the function…

A: f(x) = 300x - x3

Q: 5

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Q: Suppose there is a rectangle with length L and width W (W ≤ L) (in feet) that has perimeter 64 feet.…

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution set in interval notation if…

A: given graph of y=f(x)

Q: Find the interest rate required for an investment of $3000 to grow to $5500 in 6 years if interest…

A: Given:We are required to:

Q: 2x If ƒ (x) = e²x (x³ + 1), then ƒ¹ (2) =

A: If , then to determine .

Q: Given points A(1,3,-7) an B(0,2,-4), calculate AB AB 3 137 √11 3.3

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Q: 31. If f(x)=x+for all x = -1, then f'(4) =

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Q: Solve the initial value problem below using the method of Laplace transforms. y'' + 6y' + 8y =…

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Q: s(t) 24t³ - 50t +9 (a) Find the velocity function v(t) of the particle at any time t≥ 0. v(t) = (b)…

A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: If f(x) = eV/2, then f-¹ (2) is O3 log2 ○ 2(lnx)³ ○ 3(In x)² O the inverse does not exist O2 logg

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Q: Find the adjoint of the matrix. 02 [-92]

A: In the question itself they had given the Jacobian format, we're here find the partial derivatives

Q: What is the integral of 1. (1) da 2. fe* da 3. [(5x¹ - 32²) dz dx

A: To evaluate the following integrals.(1) (2) (3)

Q: a) Create the vector & parametric equations for the line, L₂ that passes through the L₁ x 3- 2t : =…

A: The solution is shown in step-2

Q: Suppose that the amount, in grams, of polonium 210 present in a given sample is determined by the…

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Q: 3 The slope of the tangent of the function f (x) = + 3x at x=2 is I 9/4 -5/4 -5 5

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Q: 38. Find the derivative of the function: f(x)=√x5-11

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. √ 4y³…

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Q: a. If A commutes with a b [86] 0 a A = 0 1 [8]. 0 for some a and b. A = b. If A commutes with - [aa]…

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