fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1

Q: A point moves on the parabola y^2 = 8x in such a way that the rate of change of the ordinate is…

A: A point moves on the parabola y^2 = 8x in such a way that the rate of change of the ordinate is…

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Q: dr/dt = -2tr, r(0) = ro

A: Solving the differential equation

Q: Find the area of the region that is bounded above by the curve f(x) = sqrt(x−7) and the curve g(x) =…

A: The given curves: fx=x-7 and gx=19-x.The area is bounded by the above curves and x axis.

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A: To find out the integration

Q: 2. √ √x (5 - 2x + x²) dx

A: As you mentioned question no. 2 solved

Q: Given : 6 (x, y, z) Compute the gradient = 3 6y³ z³ - 5 ex at PA (2,2,1-5) of G (x, y, z)

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Q: Integrate the function r3 So³ x² e ²x both analytically and numerically. For the numerical…

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Q: Given the following information, evaluate the other five functions. sec 0 = cos 0 = sin 0 = tan 0 =…

A: Given the value of secθ and we want to calculate the values of other trigonometric ratios.

Q: Find the limit of the following. Use L'Hôpital's rule, if applicable. Use - ∞ and ∞ when…

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Q: X 3- Ssin ² x dx ។

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Q: Evaluate the integrals: x² dx (x-1)(x²+2x+1) -dx 1. S 2. S x²+2x x4-3x²-4

A: Here we have to find the integral.

Q: Find the Wronskian of the functions f(t) = e²t and g(t) = e³t. NOTE: Answer must be simplified. W[f,…

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Q: You are in the process of solving x³y² - 7x³y = cos (7x), x > 0 which of the following would be…

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Q: 1. Determine the domain of the real function f. 2+x a. f(x) = log b. f(x) = √2+x-x² c. f(x) = cos d.…

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Let y = f(x), where dy f(x) = = 3 Find the differential of the function. x³ + 3 3 X

A: Find the differential of function

Q: Question [ a) b) + Evaluate Show all your work. 3 L₁x - Dv If then find f(x). c) (x - 1)√√x + 1dx Is…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: Median √3 St= = = How? $0.9062 0.9062 Cos (1-√3x) dx = 1/2 -0-1 a=0.5968

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Q: Evaluate and Show all necessary solutions. 1. S √x-³√x+3x-1dx

A: The given integral is;  (5+3sqrt(x))/sqrt(x).

Q: and and the following table: to = f(to) = A. If we use n = 4 subdivisions, fill in the values: At =…

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Q: (i) Given that A = {1, 2, 3, 4, 5, 6] maps respectively to B = (3,4,5,6,7,8), Find an injective…

A: Since you have posted a question with multiple subparts, we will solve first three sub parts for…

Q: Evaluate (fog)(x) and write the domain in interval notation. Write the answer in the intervals as an…

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Q: Nedian Sf = = = -0-1 a So 0.9062 Cos (1-√3x) dx = 1/2 How? a=0.5968

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Q: A curve has an equation y = 2√x which intersects the line x = y. What is the volume generated by…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: UPVOTE WILL BE GIVEN! ANSWER CORRECTLY, DETAILED AND CLEAR. People are searching a wooded area for…

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Q: Let ( 3x² + 2, f(x) = { 2x - 3, be a piecewise function. Evaluate 5 Sof(x)dx= 3 if x < 3 if x ≥ 3

A: The given function:fx=3x2+2if x&lt;32x-3if x≥3.We need to find ∫35fxdx.

Q: 3. (x + y − 1)dx + (y-x-5)dy=0igant bas ins

A:

Q: A book is to contain 36 in² of printed matter per page, with margins of 1 in along the sides and 1…

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Q: 1. y""-2y" - 15y' = 0

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Q: \(\) The geometric representation of the equation -4x² - 4y² = -12 is not a cylinder in R².

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Q: Fundamental

A: We have to explain the Fundamental theorem of calculus

Q: write this on paper. I need a step by step handwritten work not just the online calculator

A: Given the series,     ∑k=1∞3k3+3k2+5

Q: A former plans to enclose a rectangular pasture adjacent to a river. To provide enough grass for the…

A: In this question we have to find the dimension which use the least amount of fencing.

Q: Which of the following vectors is in the same direction as the vector a = 5i - 4j + 3k? Select one:…

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Q: R is the region bounded above by the function f(x) = x/4 + 4 and below by the function g(x) = −2x/3…

A: Given, f(x) = x/4 + 4  and g(x) = −2x/3 − 4 The region R in interval of [1, 4]

Q: identify open interval on which the function is increasing or decreasing. f(x)=sinx+2, 0<x<2pi

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Q: Determine the angle between the following two planes: 4x - 3y2z - 2 = 0 3x + 2y + 5z-5=0

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Q: Simplify the algebraic expression. x² + 2xy+y2 y x X x y x²+2xy+y² X x y y x

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Q: Determine the y-coordinate of the centroid of the shaded area. Set a = 11 in., b = 28 in. Answer: y…

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Q: Find the value of y if x=2.5 from the set of points (0,5.5) and (5, 7.5)

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Q: 6. S नात √(1-x dx

A: The second fundamental theorem of calculus states that if f is continousmapping in [a,b] and F be…

Q: Problem 2. Solve these integrals using integration by parts (6) loga(z)dr, (c) z¹In(√T)dz.

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Q: 6. The decimal expansion of 135/ 225432 will terminate after how many decimals?

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Q: 18. 19. 20. The curve y = x³ + 3x² − 2 has an inflection point at the point: a) P(-1, -2) b) P(-1,2)…

A: Use inflection point concept

Q: Find equation of tangent line y=4x cos x at the point (π, -4π) y = mx + b where M = and b =

A: To find tangent line .

Q: For the sequence an = an-1 + an 2 and a₁ = = 1, its first term is 1 its second term is 1 its third…

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Q: y = N|XW --- - 6x 1 <x<1

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Q: I need to solve the integral

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Q: 9 S10²/x dx

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Q: a = 6i + 4j + 8k and b = 9i – 6j + 12k. a) [ 3] Determine whether the vectors a and b are…

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