Evaluation. 1. J (sinu + u) du 2. (1-cosv) dv Integrate each of the following. Show complete solution.

Q: 1. f(x) = 10 2. f(x) = 3 − 4x 1 2 3. f(x) = x² - 9x 2 4. f(x) = x² + 5x + 4 5. f(x) = 2 + 7x - 2x²

A: See the details solution in below

Q: f" (1) =

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Q: Find a formula for the quadratic function whose graph is shown. y X 15 f(x) = -5 30 20 10 f 5 (5,2)…

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Q: Find the surface area for the object obtained by rotating y=7x+2 about the x-axis over the interval…

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Q: 2. Find the area bounded by curves: a. x = 1 - y² and y = -x - 1. b. x = 0 and x = 25 - y²

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Q: Next question -4b3 {b₁,b2,b3} be bases for a vector space V, and suppose a₁ = 6b₁ b₂, a₂ = − b₁ +…

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Q: Give 1 problem for differentiation rule of exponential

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Q: Match the following functions with the appropriate cross-section: I) z = (y²-1) cos(x) II) z=(x²-1)…

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Q: A population y changes at a rate modeled by the differential equation = 0.2y(1000-y), where t is dt…

A: y'=dydx=0.2y(1000-y) Solve for y in y'=0 0.2y(1000-y)=0⇒y=0, y=1000 Interval…

Q: Find the volume of the solid generated by revolving about the x − axis the area bounded by y 2 = 4x,…

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Q: 9-34 Evaluate the integral, if it exists. tb (1)nia 9. ² (8x³ + 3x²) dx 11. f' (1-x) dx 13. f³√x (x…

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

Q: Consider a plate (the plate has the same shape as the region enclosed by y = x² and y = 4) submerged…

A: We need to find a, b.

Q: B. Solve the following differential Equations y" - y' = 4x³ + 6x²

A: The given differential equation is  y'''-y'=4x3+6x2

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

A: We have to find the interval of convergence

Q: 2 Find the volume of the parallelepiped whose edges are represented by A =î - 13ĵ+ 4k, B = 3î+ 2j-7k…

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Q: G. Prove that the following functions u/v are harmonic; then find the conjugate harmonic function v/…

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Q: 1. A plane is defined by the equation x - 7y - 18z = 0. a. What is a normal vector to this plane? b.…

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Q: Given ; = -5 cos 0 and r₂ = 5+5 cos 0 Sketch and then set up integral for area bounded by the…

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Q: The answer is Blank 1. Blank 1 Add your answer Let R be the region enclosed by the curves y = x³ and…

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Q: Suppose that f(x) is differentiable for x > 0, y = 2x + 1 is the tangent line to the graph of f at x…

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Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

A: According to the instructions, We are instructed to answer only one question , the other questions…

Q: 4. Evaluate the following integral using cylindrical coordinates: /16- *** z dz dy dr

A: A detailed solution is given below

Q: 옻 sin 8x lim X→0 X K X f(x) -0.1 -0.01 -0.001 0.001 0.01 0.1

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Q: - 3x Find the derivative of y with respect to x if y = e

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Q: 3 S₁ x ³ exdx

A: Evaluate the definite integral :        ∫01x3exdx

Q: f(x, y, z) = x cos(y - z), find: 02 f дудх 02 f дхдz 3. Given (a) (b) (c) (d) 82 f 0x2 8 f дхдудz

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Q: + R (+) et sinti-etcost] a) Find the velocity and acceleration vectors. 6.) Find the speed,…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: (f) The function f(x) = √√x is differentiable at x = 0. ○ True O False

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: The percentage of people of any particular age group that will die in a given year may be…

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Q: 8. If the slope of the line (k + 1)x + ky − 3 = 0 is -2, find k.

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Q: 11. Find the value of m, such that D1, D2, D3 meet each other at one point. D1: x - y = 1 D2: 2x + y…

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? 4 f(x) =…

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Q: 2. A plane is defined by the equation 2x - 5y = 0. a. What is a normal vector to this plane? b.…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution of the…

Q: N Find the volume of the parallelepiped whose edges are represented by A =î - 13ĵ+ 4k, B = 31+2j-7k…

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Q: The graph of f(x) is shown. At which of the point(s) is f '(x) 0? E A D B C

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Q: Evaluate the following integral using spherical coordinates: [ z dz dy dr. 0

A: Given problem:-

Q: You've been asked to calculate the mass of a conical pile of sawdust measuring 7 meters high with a…

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Q: se the formula to find the derivative of below functions. 5x²-7x+2 2³-9 (1) ƒ(x) = ( 31⁄4 + x) .· (2…

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Q: The answer is Blank 1. Blank 1 Add your answer Let R be the region enclosed by the curves y = x³ and…

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Q: 4. Integrate the function below using Algebraic Substitution and 4 lines only (solution + answer). S…

A: ∫un du = un+1n+1 +C .

Q: a) ㅠ 3 cos x sinx dx

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Q: Which of the following statements is CORRECT? x³ + x 1 = 0 has no solution in [0, 2] Ox³ + x-1=0 has…

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Q: The answer is Blank 1. Blank 1 Add your answer Let R be the region enclosed by the curves y = x³ and…

A: The given curves are; y=x3 and y=2x2   Now find the point of intersection between the given curves.…

Q: B. Solve the following differential Equations y"" - y' = 4x³ + 6x²

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Q: 3 S² 2 (3x+1) dx x-1

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Q: (Laplace transform method) حل نمائید. (x) = = - [ (x -tut )dt 6

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Q: a. Find the Taylor polynomial of 6th order at a=- 2 b. Find error at x = π. X c. Graph the original…

A: To solve the following problem

Q: Let g(x) be the inverse function to the differentiable function f(x). If f(0) = 1 and f'(0) = 9,…

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Q: 2. Evaluate the double integrals by iteration. whre B is the region 0≤x≤ 1, ² ≤ y ≤I JA dA

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