Evaluate exactly lim(1 + sinx)2cot: x→0

Q: (b) Given that s² + 16 (s − 1)(s + 3) (s² + 4) (s Evaluate the values of A, B, C and D. - A B + 1)…

A: We have to do partial fraction of given algebraic expressions.

Q: 5. lim, A.7 Oi O о O. +D T 7x²+x-100 2x²-5x B 712 NIT D.2

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Q: Find the extrema of the following function on the given interval, if they are any, and determine the…

A: Since you have asked multiple questions,as per our guidelines we are supposed to answer only one…

Q: Q3/ Evaluate: ff(x+y) dy dx for the region bounded by the x=0, x=2, y = x and y = x + 2

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Q: An open box is to be made from a square piece of cardboard of side 12 inches by cutting out squares…

A: To find the size of squares cut out of the box for maximum volume.

Q: MODIFIED TRUE OR FALSE. IF THE STATEMENT IS CONNECT, WRITE C. IF NOT, WRITE THE ANSWER + THE…

A: I am attaching image so that you understand each and every step.

Q: (a) The reaction to form an iodine molecule is a second-order kinetics rate of loss of iodine atoms…

A: Find out the value of I after 1.5 seconds.

Q: Use Simpson's Rule with n = 10 to estimate the arc length of the curve. (Round your answer to six…

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Q: 1 (+1)mu(x-3 n=1

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Q: Use implicit differentiation to find d²y = dx² d²y dx² if 8y+sin y = x.

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Q: Q4/ 1- Evaluate: f/2fy sinx dy dx ди 2- If u = x² + ey² ,x= sin 2t , y = cost² find at

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Q: d dx -[x² tan x] d sin x dx 11+ cos x] 1 1 + cos x

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Q: Derive the Maclaurin and Taylor Series of the function below:

A: In this question, we want to calculate the Taylor and maclaurin series expansion of the function…

Q: INSTRUCTIONS: (1) Answer all questions neatly with a blue or black ball point pen/ink pen. (2) Use…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 9. a. Explain why the Cartesian equation 2r-5y +3= = 2 does not describe the plane with normal…

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Q: It is your job to design a Ferris Wheel that meets the following parameters. • The bottom of the…

A: We need to find periodic function.

Q: Find the equation of the tangent line to the curve y = 3 sec(z) - 6 cos(x) at the point (π/3, 3).…

A: The equation of tangent line

Q: x+2 lim x-2x²+4x+4

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Q: Matrices A and B below are row equivalent. For each of the concepts following, choose (check) one…

A: See the answer below

Q: xe5x dx (5x-1) i 51 e³z B.5 (5x-1)+c C. 5x+ E

A: We will solve the problem.

Q: Find the value of an investment of $25,000 for 13 years at an annual interest rate of 3.15%…

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Q: Find the limit. Enter the exact answer. If the limit does not exist, indicate that using the check…

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Q: Which of the following is correct in solving 20 2x√2 + x dx? (a) Substitution technique can be used…

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Q: Solve the given initial-value problem. y x = 6y², x(8) = 1 dy x(y) = Give the largest interval I…

A: To solve the initial value problem.

Q: 2. The value of O True O False ¹/² is = √13 13

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Q: Find the length of the arc of the curve from point P to point Q. 81 81 x-x² (-0, 32). Q(0,52) 2

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Q: Consider a function f that is continuous on [-2, 4] with f'(x) = 0 whenever x = 3 or x = 5. Suppose…

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

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Q: d the absolute extrema if they exist, as well as all values of x where they occur, for the function…

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Q: Which of the following functions represents the graph of f(x)=√x+1-2? 6 5 4 3 2 f(x) -10 6 7 -1 O O…

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Q: 5. Determine the area below f(x) = 10 - 2x² and above the line y = 3. 6. Determine the area bounded…

A: Given problem:- Determine the area below f(x) = 10 - 2x2 and above the line y = 3

Q: 10. J xe5x dx A. (5x-1) O A O B B. (5x-1)+c C. 5x + 1 D. 5x-c

A: To find out the integration.

Q: /5 too dr Vx-1

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Q: A large tank is filled to capacity with 400 gallons of pure water. Brine containing 2 pounds of salt…

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Q: Find the exact length of the curve. y = 9 + ¹ cosh (8x), 0≤x≤7

A: The curve y=9+18cosh8x, 0≤x≤7

Q: The Great Molasses Flood At 1:00PM on January 15,1919, an unusually warm day, a 90-ft high, 90-ft…

A: We have to solve for force exerted by the molasses.

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

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Q: Find the inverse of the following matrix by using Gauss-Jordan eliminations 1 21 -1 2 3 122₂ +1 0 41

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Q: Identify the open interval on which the function is increasing or decreasing. h(x) cos(쯤), 0 < x <…

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Q: 7. y = (x+1)* 9. y = Inlog, x

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Q: Find the derivative using logarithmic differentiation √x+1 y= (x+2) √x +3

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Q: 2. ) Consider the surface x² + y²-2xy-x+3y-z=-4 at the point Po(2, -3, 18). Determine the following:…

A: To find the tangent and normal.

Q: V A

A: ∫x1+x2dx=∫2u4+u2du=2·∫u4+u2du=2·∫2v24+v4dv=2· 2·∫v24+v4dv=2· 2·∫ -v4v2+2v+2+v4v2-2v+2dv=2·…

Q: QuIf w=f(u, v) = cos uv, u = xyz ,v= 4(x²+y²) dw Prove that = 0 at the this point (x,y,z)=(1,1,1) дх

A: Given : w=f(u,v)=cos uv   , u=xyz ,v=54(x2+y2)   To Prove: ∂w∂x=0   at (x,y,z)=(1,1,1)

Q: 1. Consider the following statements: 1 I. 27x+3, 27x - 11, and 27x+ are antiderivatives of 27. 7…

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Q: What is the sloe of the tangent line to the curve x = 3 sin y at the point (0, 2π)? 3. O O ا انت 3…

A: What is the slope of the tangent line to the curve x= 3siny at the point (0,2π) ?

Q: Q3. Use the integral test to determine whether the series, n=1 divergent. 1 (n+1)√n+1 is convergent…

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Q: Find the exact length of the curve. 36y² = (x²-4)³, 4≤x≤6, y 20

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Q: +7+ 3xf x for x ≥ 1, where x is the number of rackets produced per hour. For a company that…

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Q: a. S ((e'+4)²-9)3/2 -dt

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