QUESTION 9 Given f(x) = x². Determine the minimum distance between the point (10; 2) and a point on f.

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

A: Find the volume of solid

Q: Find the inverse Laplace transform ƒ(t) = L−¹ {F(s)} of the function F(s) = s² = s-1 8s + 17

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Q: O(fg)' = fg' + gf' O(fg)' = f' + g' O(fg)' = f'g' finding the derivative of the product of two…

A: (fg)' = ? this is the formula of derivative when two function are multiplication (fg)' =f'g +fg'…

Q: A company's marginal cost function is MC = 15x³/2 - 20x²/3 + 1, where x is the number of units, and…

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Q: b) Express 1. In 3.4 1.22378 2. In 1.22378 = 3.4 el-22378 = 3.4 logarithmically.

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Q: Differentiate the following functions using the INCREMENT method of differentiation. 7. y = 8a²x +…

A: According to bartleby guidelines for multiple question I can answer the questions. Thankyou.

Q: Find the arc length of the curve below on the given interval. y=2x³/2 on [0,9] Which of the…

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Q: farmer's house sits 5 miles due south of a river. The diagram below shows the path that the farmer…

A: Figure:-

Q: Let f(x) = ln(x³) f'(x) = ƒ' (e³) =

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Q: D Question 38 Let A = 03 O-11 O 11 O-3 [23 3 2 -17 4 13 1 Find C32.

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Q: Find the equation of circle with Centre (2, 2) and passes through the point (4,5) - Find the…

A: Topic:- geometry    Note :- as per our guideline if more than one question uploaded than only first…

Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 2. Find values for F(1) and F(7) 3 -1 2…

A: The area under  the curve f(x) from x=a to x=b is given by

Q: Find the inverse Laplace transform f(t) of the function_F(s) = ln s² +9 s² + 16

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Q: Let f(x) = In (x^5) f'(x)=? f'(e^4)=?

A: Given function is fx=lnx5 We need to find solution for following cases, f'x f'e4

Q: (a) _x²y" + 3xy' + y = 0 (where x>0), given solution yı = ५।।

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Q: the length s of the arc that subtends a central angle of measure 40° in a circle of radius 17 m.…

A: Given query is to find arc length.

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 2x².…

A: For maximum value at a point x=a for a function f(x) is given by f'(a)=0 and f''(a)<0.

Q: Compute the line integral of the vector field F = (3zy-¹, 4x, -y) over the path c(t) = (et, et, t)…

A: see below the answer and calculation

Q: 4. a) Find the arc length of the function y = ln(1 - x²) in the interval [0, 1]. b) Find the…

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Q: Find f(t). f(t) = <{{ e-s s(s+ 1) | +( | ) u(t -|

A: Given:     ℒ-1e-sss+1 Apply inverse transform rule: If      ℒ-1Fs=ft then  ℒ-1e-asFs=?t-aft-a Where…

Q: (b) _x²y″ − 2xy' + (x²+2)y = 0, given solution y₁ = x sin x -

A: (b) The differential equation is given as , x2y''-2xy'+x2+2y=0              .....1

Q: Find ܐܐܝ ܐܝܐ ܩܐܐ DESE 4y +x=7y

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Q: Question number 23 please

A: We have to find the local extrema.

Q: Taylor is building a rectangular garden. Due to the space available, the area of the garden, A (in…

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Q: Consider the following Bernoulli's equation: y' + 4 y² = y, a) Classify the given differential…

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Q: B. Using the definitions of limit and/or infinite limit, show that if limn→∞ sn = ∞, then also…

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Q: Use the sum-to-product identities to rewrite the following expression as a product.…

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Q: Solve each of the following boundary-value problems. (b) æ®g’’ = 1+ *; y(1)=y(1) = y"(1) = 0 (c)…

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Q: Find a quadratic function f whose graph matches the one in the figure. -10 f(x) = (Simplify your…

A: Given query is to find the function of the graph.

Q: ladder sildes away from the wall at a rate of 1.4 ft/s, how fast (in rad/s) is the angle (in…

A: Given query is to find the rate of change of angle.

Q: Find the slope of the tangent line to the curve - 2x² - 1xy - 2y³ = 80 at the point (-4, — 4). -…

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Q: Find the arc length of the curve below on the given interval. 4 + 1 8x on [1,2] The length of the…

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Q: The proper substitution to solve the following Bernoulli's equation 4 xy'-2 exy5=8 y is u=y-4

A: given  4xy'-2exy5=8y  first divide by x both sides  4y'-2exy5x=8yx

Q: From Selling price 2010 Fesulted. 198. rice. 3020. This 30% reduction. decrease in Find of to 2012,…

A: Topic:- application of algebra

Q: f(t): = _¹{582 + 4) se **S/2 7+( ])u(t-[

A: Formulas we use: L-1e-asfs=F(t-a) for t&gt;a  where F(t)=L-1f(s)L-1ss2+b2=cosbtcos(2θ)=1-2sin2θ

Q: Determine if the sequence below is arithmetic or geometric and determine the common difference /…

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Q: n a test of 15 questions, ₁ points are awarded for each correct answer while 2 points are deducted…

A: Here given that  x1 points are awarded for each correct answer while x2 points are deducted for…

Q: 2. The graph of f is shown in the figure. The shaded region, A has an area of 7.5, and f(x) dx =…

A: As per our guidelines we can answer only 1 question and only 3 subparts of the given question so…

Q: Hi! Can I have some fraction examples solved? I need an example on "paper" if you can. 5 1/7 - 1…

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Q: 7. Differentiate: R(t) = tan(t) + t²tanh(t).

A: To differentiate the following function.Rt=tant+t2 tanht

Q: 11 Find the volume of the solid formed by revolving the region bounded by the graphs of y = e, y =…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the relative maxima and relative minima, if any, for the function f(x) = (x − 1)²/3 — (x +…

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Q: PROBLEM: Fruit flies are situated in a small glass bottle containing a amount of food. Suppose the…

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Q: 11 The sides of a cube are found to be 1 meter in length with a possible error of no more than 2 cm.…

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Q: My Define Integration legration and its Integrate the following √(x² + 2x) dx Lypes BS sinxdx ⒸS…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the exact x-coordinate where there is a horizontal tangent line to the graph of f(x) = x5".…

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Q: -4y"" + 5y" - 5y' − 3y = 0 with y(0) = -3, y'(0) = 3, y"(0) = 2. Taking the Laplace transform and…

A: Using the laplace transform we can find F(s).

Q: What is one specific real-world scenario where e is used and one where the natural logarithm is used

A: where the natural log and where the e is use explanation is given below e value is ln where natural…

Q: Find the present value that will grow to $5000 if interest is 6.5% compound quarterly for 15 years.…

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Q: Find all complementary functions of the equation y" -6y' +9y=0. a. cos3x,sin3x b. e-3x.e³x C. e-3x…

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