[CLO-3] Use the given velocity function and initial position to estimate the final position s(b). Round to two decimal places. v(t) = 3(1-e-³¹), s(0) = 2, b = 5 O 15.00 O -10.00 O 16.00 O 10.00 A Moving to another question will save this response.

Q: Solve the differential equation below using series methods. y’’ — 4xy' — y = 0, y(0) = 4, y'(0) = 2…

A: Here, the given DE is: y''-4xy'-y=0    ...(1) with y(0)=4,y'(0)=2

Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t)= -0.009t² +0.8t where…

A: Given

Q: Part 2: Exponential Growth and Decay and Logistic Growth Model (3) Suppose an experiment was…

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Q: If ả = 2ỉ + 33, b = j – ỉ and ở = 33 are vectors in 2D, then determine the of a + 3b + c

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Q: Determine whether the improper integral diverges or converges. S™× x²e-x dx converges diverges…

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Q: Find curl(F x G) = V x (F x G). F(x, y, z) = i +5xj + 3yk G(x, y, z) = xi - yj + zk

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Q: x +4 x²+2x+5 1₁ da

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Q: Find the devivative lic F(t)=(ナースト+1)(2+2

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Q: Find the critical point of the function, then determine if it is a local maximum, local minimum, or…

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Q: Use the graph of f to describe the transformation that yields the graph of g. f(x) = 6*, g(x) = 6x +…

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Q: y=x√3-2x³

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Q: x² +9+√√√y²+1=5 max x + y

A: Given problem:-

Q: Find the Taylor series of the function at the given center a. f(x)=x³-5x, a=2

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Q: As shown in the figure below, Mai is standing 100 feet from the base of a leaning tree. The tree is…

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Q: 8. Use the method of Lagrange multipliers to find the maximum value of the function f(x, y) = xy…

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Q: Write the equation of a sine or cosine function to describe the graph. MA

A: This is a problem related to graph of the trigonometric function. Based on the general formula of…

Q: Evaluate the iterated integral. [(x + y) dy dx

A: Here is the solution:

Q: Evaluate the iterated integral. 18 5 (x + y²) dx dy

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Q: Using integration by parts, which of the following options is true of Sx arcsec x dx? Ⓒ / x ² arc A…

A: To use integration by parts for ∫x sec-1(x) dx

Q: A company can buy a machine that is expected to increase the company's net income by $15,000 each…

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Q: x +4 x² + 2x + 5 dr

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Q: 8. For the enclosed regions bounded by y = x² - 6x and y = -2x in the graph, what is the integral…

A: Given   From the graph intersection point

Q: Find the derivative of f(x) = ecos² (3x+1) Of(z) 6 sin(3r+1) cos(3x + 1)ecos² (3+1) O (E) None of…

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Q: 1. y = 3x? – 2x4 - 3x3 + − − 2x + 1; y(4) - 8

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Q: Evaluate the following 2- S ( 37/3 + 5x² + 3) dx

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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: Evaluate the iterated integral. (x + y²) dx dy THERE

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Q: B. Assume that f(x) dx = 3 and g(x) dx = -2, find the following: 26. [f(x) + g(x)]dx = 27. [2f (x) -…

A: Part B,Given,            ∫13fxdx=3 and ∫13gxdx=-2

Q: Prove sinxtanx + sinx tanx 1 cosx is an identity.

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Q: 3. (2 + y² + xy2) dx + (x²y + y + 2xy)dy = 0

A: As per the guidelines I can solve only one question

Q: Find the total length of the curve r = acos² 0. (A) 3.12a B) 6.89a 1.19a 5.52a

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Q: So whats the answer

A: The question asked for the function f or ft. The last line was the answer.

Q: 5) Find a general solution of the equation y" - 7y' +6y=3e³x. 11 - 7y! + by = 365x - Ar + 6 = 3e³z…

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Q: Use implicit differentiation to find the equation of the line which is tangent to the curve 2xy +…

A: Given equation: 2xy+3x2-5x=4 We know that slope of tangent will be defined by dydx-1,2

Q: Evaluate the integral improper integral (A) 1/9 B) 1/6 1/8 (D) 1/4 0 00 dx (2x-1)³

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Q: 5. A manufacturer offers to deliver to a dealer 300 tables at $90.00 per table and to reduce the…

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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

A: Here, ∫R∫yx2+y2dA is evaluated where R: trapezoid bounded by y=x, y=8x, x=1, x=8 which is:

Q: Find the length of the parabolic segment r= 6 1 + cos 0 The length is. (Type an exact answer, using…

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Q: Determine if y=5 cos x and x=31²-5t+3 dx

A: Given,             y=5cosx , x=3t2-5t+3To find : Determine dydt

Q: 13-16 Sketch the region whose signed area is represented by the definite integral, and evaluate the…

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Q: The height above the ground (in meters) of a person on a Ferris wheel as a function of the angle…

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Q: 4 3 2 +..

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Q: Find the laplace transform of ƒ (t) = 2t³ – 6t – 8 -8s³+12s-6 OF (s) = 84 OF (s) 6s³-8s-12 84 ○ F…

A: Given that,  f(t)=2t3-6t-8

Q: dx √1+√√x |

A: Given,  ∫dx1+x

Q: 2. y=(2 tan² 20-1/²

A: To find derivative of given function.

Q: Find the derivatives of the following function (a) y=4²-3+2√ 2x+3 (b) y=2

A: We can answer the questions as below to find derivatives

Q: the

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Q: 2. Let f be the function from {a, b, c, d, e} to {1,2,3,4} with f(a) = 3, f(b) = 1, f(c) = 2, f(d) =…

A: givenf(a)=3f(b)=1f(c)=2f(d)=4f(e)=2

Q: 15. What is the derivative of the function: F(x) = x cos(5x) F(x) = x cos(5x) F'(x) = (x)…

A: Solving

Q: Suppose that Po is invested in a savings account in which interest is compounded continuously at…

A: