. A 2-kg block is suspended from a spring having a stiffness of 800 block is given an upward elocity of 2 m/s when it is displaced downward a distance of 150 equilibrium position, determine the quation which describes the motion. Assume that positive displac downward

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Q: 18 [™ f(z)dz where a = 11 - F f(x)dr = [² (² and b 0 f(x)dr

A:

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A: solution is given below

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A: Given graph of a function f(x).

Q: )) 5 = لا 5 1 2X e - ل6 لاو لا -

A:

Q: The value of integral (cos(4x)+cos(81)) dx

A: We have to determine the integral

Q: hand written plz 6. Find the general solution of the PDE. The solution u is a function of x and y.…

A:

Q: 04) Find dy /dx for the following functions: a) y².cotx= [sin(x.y)]-¹ b) y = (lnx + x)tan

A: See the answer below

Q: 3. Given f(x) ==, determine the maximum or minimum values if any using an interval table. X

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Q: 6. Find the general solution of the PDE. The solution u is a function of x and y. Ux=x-yz +y³

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A:

Q: 1. Let = =(3, 2, 1) and 5 = (-4,3₁-1) e) Evaluate (3a+46) (3a - 4b). f) Find the angle between a and…

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Q: on with a nonremovable discontinuity at x=4 on with a removable discontinuity at x=-4 on that has…

A: Answer is in next step . please give a like !!

Q: Q5) Evaluate the following integral by using Partial Fractions Method = y = S₁ 2x²-3x+2 - (x − 1)².…

A: Use partial fraction to calculate the integral.

Q: Given the matrices A [4] " the matrix X in the equation AX +5B = C. X = 5 and C 3 " solve for

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Q: Estimate [²₁3 13 cos(x²) dx using the Trapezoidal Rule and the Midpoint Rule, each with n = 4.…

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A: Vector equation of line is r'→=a→+αb→-a→where, a→ is the position vector of the point A.…

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Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0,…

A: A tank initially holds 80 gal of a brine solution containing 18 lb of salt per gallon. At t=0,…

Q: Use the chain rule to express dy /dx in terms of x and y y = sin t and t = cos x where t = 0

A:

Q: The graph of y g'(x) is shown below. graph of g'(x) + (a) Give the x-coordinates of the critical…

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A: We know, Average velocity =Total DisplacementTotal time

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Q: Evaluate the following integral by using Odd and Even Powers Method: y = [₁ cos5 (1x) dx

A: We will evaluate the given integral by using odd and even power method in the following step.

Q: 8 ["#f(z)de = [", 1(2)dz + ["*1(2)\dx = [ 1(²)dx, *, f(x) ƒ(z)dz -3 If what are the bounds of…

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Q: Give the interval of definition for the solution to the initial-value problem 1 (t-1)y"+…

A: answer is in next step.

Q: . Using the diagram below, fill in the blanks. B A D F G E Column A: a) AB+ BC b) FE+FG c) HG+FB H…

A: Follow the procedure given below.

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Q: 1) The Arc Length of the curve f(x) = coshx, 0≤x≤ In3 is: d. 1/1/22 4 12 a. b. ³/1 3 2) The Volume…

A: Given

Q: 0=yج - - لا

A: Follow the procedure given below.

Q: Graph the rational function. -5x-15 f(x)=- x²+2x-15

A: Graph the rational function :      f(x)=-5x-15x2+2x-15 Start by drawing vertical and horizontal…

Q: Use Newton's method to approximate a root of the equation 4 sin(x) = x as follows. Let x₁ = 2 be the…

A: answer is in next step

Q: A baker sells cupcakes and bases her prices on the number of cupcakes purchased. 72Total Cost 66 60…

A:

Q: 20. Which of the following is a direction vector for the plane with Cartesian equation 3x-2y-52+3-07…

A: Given problems:- 20. Which of the following is a direction vector for the plane with Cartesian…

Q: If we have a valuable F(x) find: fro f(x) dx = −cscx + c

A:

Q: 1- Evaluate the limit a-Limx²-4/(x²-x-2) X-2 b- lim [In(cos(x))]* c-2-(X²+4) ¹/2²/sin²x x-0 x →0

A: L'Hospital rule:- If a function is of the form p(x)q(x)   then if limx→a p(x)q(x)  is of 00 or ∞∞…

Q: Explain why the integral is improper. 49 1 1²0 √/x dx 1.6 1.4 1.2 Y 08 0.6 0.4 0.2 10 20 X At least…

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Q: Solve the given differential equation by separation of variables. (ey + 1)²e-y dx + (ex + 1)²e¯× dy…

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Q: QUESTION 12 Which method of apportionment always satisfies the quota condition? OA. Hill-Huntington…

A: Topic = Algebra Correct option = C

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Q: Determine whether each equation is true or false. 1. f sin x dx = cos x + C 2. fcos x dx = sin x + C…

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Q: By using the unlimited coefficients method, choose the correct answer for this equation…

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Q: 3. A cable goes over a frictionless pulley at B and supports a block of mass m. The other end of the…

A: Solution

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Q: Find x in the following equation. log 10 (x+1) - log 10 (x-1)=1 (Type a fraction or an integer.…

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Q: Find the volume of the solid obtained by rotating the region B about the line y = -2. A B

A: Given problem:- f(x) = 4 - x2 , y = 4,x = 2  Given graph :-     To find:- Find the volume of the…

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Q: (6) Using suitable transformations, evaluate closed region in the first octant bounded by the…

A: We have to solve given Questions.