lim X- Sin X X3

Q: The partial sum 1 +7+ 13 + .+ 175 equals Question Help: DVideo MMessage instructor Submit Question

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Q: 6. (D2 – 6D + 8)y = e2x + sinx %3D

A: The given differential equation is: D2-6D+8y=e2x+sinx   So, the auxiliary equation is: m2-6m+8=0

Q: 4. y =, x = 1, x = 4, and y = 0 is revolved about the y – axis. (Answer: 247 C. u. )

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Q: d) Find the inverse : y = (x + 2)2

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Q: Let f(x) = ax* + bx² + 50. Determine the values of a and b so that f(x) has a point of inflection at…

A: We have to find value of a and b

Q: 10. y = (e3x+4 +2)/(e2*3x +1)

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Q: dx 2+

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Q: x5Vx2 + 2dx

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Q: Differentiate y = - using Logarithmic differentitation. A x2x' +1

A: Given;  y=ecosx^2/[pi x sqrt(2x3+1)].

Q: Find the derivative of the function at Po in the direction of A. f(x,y.z) = xy+yz+ zx, Po(-1,1,2).…

A: Given :f(x,y,z)=xy+yz+zx

Q: dy dx Jo 17 /289-: Change the Cartesian integral dy dx into an equivalent polar integral. Then…

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Q: Question 9 Let y = tan e find the differential dy of the function. O dy = e (r – 1) sec e- da O dy =…

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Q: Solve the following initial value problem. f′′(x)=−36x^2−18x−4,f′(−1)=13,f(−1)=−35

A: To solve the initial value problem.

Q: Use the substitution u = 4x2 +1 to convert the integral fo ret+1 dx to an integral of the form Sº…

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Q: Assuming that out of 200 documents, 40 documents are relevant. A search engine returns 30 documents,…

A: We have to calculate the recall percentage.

Q: 1. Evaluate the following integrals. 24 - 44 dy 2+ 49 C.

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Q: (b) 2+ 5y = 2, y(0) = 0 dt

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = x², a = 2 A. P3(x) = 1 +8(x- 2) +…

A: Let's find.

Q: Find the Taylor series generated by f at x= a. f(x) = -, 1 a = 3 X (x- 3)" Ο Α Σ 3" OA. n =0 (x –…

A: We have to find the Taylor's series for given function at a=3 . For this all order derivatives of f…

Q: The function x2 f(x) 1 - x is decreasing on (0, 1). Select one: O True O False

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Q: the second order partial derivatives of the given function. (x.y) = xye -y O A. 21 = 0;=2xye -Y (2y²…

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Q: Identify a generating curve on the rz-plane for the surface of revolution with equation 1² + y³ + z²…

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Q: 3. If a = 2 i-3 j+5k and b = -3 i+6k, determine a simplified vector for each of the following in the…

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Q: sin(x²) 1+0- e2r – 2x – 1° Evaluate lim

A: This question is related to limits, we will solve it using given information.

Q: dy + 7z = 5 5 – 72

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Q: 15 x2-35 + 25 A B Let f(x) The partial fraction decomposition of f(x) where A, B, C EZ. (x - 1)(x…

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Q: Evaluate: L-1 1 S2s-9) 2+2. th CamScanner

A: Let's find.

Q: y to find the derivatives of the following functions before we continue. a. F(x) = x³ + 2x2 + x b.…

A: a) F'(x) = 3x2 +4x +1  b) F'(x) = 3x2 +2x +1  c) F'(x) = 9x2+3

Q: On what instance does the Chain Rule of differentiation applicable? Explain briefly

A: To explain when we should use chain rule.

Q: Pr. #3) Prove that the limit does not exist. cos(4ry)- 1 lim (x.v)-(0,0) 2r + 3y4

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Q: Use differentials to estimate the relative error in the lateral surface area of a right circular…

A: Relative error

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, Y, z) = 4.x + 2y + z subject to æ? +…

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Q: dªy d³y -4. dx4 „d²y -6· dy dx3+ 7 + 2y = e-* + xe¬× dx dx2

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Q: Activity 3: 1. ſx²dx 2. SVx?dx 3. S(x³+x²)dx 4. SVx*dx 5. fx-2dx 6. S tan?x dx 7. S(1 – cos u)du 8.…

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Q: 5) Use Intermediate Value Theorem to explain why the function has a zero in the given interval. [0.…

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Q: 19. cos (20) 1/2

A: We will find the value of θ in the following step.

Q: Given f(x) = (2x - 3)" (x+1). Determine (if any)

A: Given

Q: x'dx 1-x²

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Q: On what interval(s) is f'(x) increasing? Decreasing? Explain.

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Q: Using the definition of differentiation, find the value of f'(a) if f(x) = sinx

A: Topic = Derivative

Q: 00 5 converges or diverges. If it converges, find its sum. 3m Determine whether the series > m= 2…

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Q: Evaluate the double integral over the given region. TI(x + Vy) dA, R: 0<x<1, 0<y<1 R 4 OA. 3 8 OB. 3…

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Q: Suppose that h = 2x'y, where both x and y are changing with time. At a certain instant when x = 1…

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Q: 5. e(2x- y) = 2x - y

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Q: Learning Activity 1: Determine the general antiderivatives of the following functions: 1. f(x)=6x5 -…

A: Solving the problems by finding the integration.   NOTE :: As per our Expert guidelines we are…

Q: 4 i /," x’dx using four subintervals. Calculate the trapezoid approximation of O T5 = 61.24 O T5 =…

A: Dear user, You need to find step height and using this you need to find endpoints of interval. Then…

Q: Solve the differential equation dy + y = 4xy³, y(0) = dx %3D 1.

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Q: Given the vector ủ = (2,0,1) (a) Solve for the value of a so that ū and i = (a, 2, a) form a 60…

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Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A: Given: We have the local maximum at the point (7, -6). So, we must have f'(7)=0. Here, f'(x) =…

Q: Water flows into a conical container at a rate of 7 cm's The radius of the container is 5 cm and the…

A: We have to find rate of change of Radius.