Month: Q/ Finc 4he X-c (x)

Q: Let f: (0,0) → (0, 0) be a function defined by f (x) =- for all x E (0, ∞). Prove that fis…

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Q: Write the given system without the use of matrices. 1 -1 9. 1 3 d 3 -7 1 y + 2 -1 t dt -2 dx dt dy…

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Q: Which graph correspond to the vector field (r, – y)? 3

A: Solving

Q: . What is the outer function? 2. Find dy/du. 3. What is the inner function? 4. Find the derivative…

A: see below the answer and calculation

Q: 2. Solve the equation 2 + 34-5x = 10 in terms of logarithms and then use a calculator to find…

A: We will use logarithms to solve this question.

Q: 1. Find the second derivative for f(x) = (2r² – 3)* (Answer should be in simplified factored form…

A: Given problem:- Find the second derivative for f(x) = (2x2  - 3)8

Q: Assume that lines which appear to be diameters are actual diameters. 66° H Find the measure of GHF

A: Clearly FH is the diameter of the circle

Q: let f(x) be the function 4x^2 - 4x + 11. Then the quotient f(4+h)/h - f(4)/h can be simplified to ah…

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Q: Antiderivatives resulting in inverse trigonometric function X dx x4 + 3

A: Use the method of substitution and solve the integration.

Q: 1. Find the area between y=x and y=x' fromx=-1 to x-1. 2. Find the area of the "triangle" region…

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Q: A cylindrical kite frame is to be constructed from a 4 metre length of bendable  steel rod. The…

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Q: 8. Evaluate the integral by using trigonometric substitution 2 dx V4x – x2

A: We have to find the indefinite integral.

Q: * If an object moves in rectilinear motion (along a single axis) with a velocity given by v(t) then…

A: The total displacement in position in time interval [t1, t2] is given by : ∫t1t2v(t) dt We need to…

Q: A chemist needs 8 liters of a 25% acid solution. The solution is to be mixed from three solutions…

A: An algebraic word problem is given. We have to solve it. To solve the problem, we will form an…

Q: 4. Consider the function f(x) = (2x - 3)5. Discuss the continuity and %3D differentiability at x =…

A: 4.f(x) = (2x-3)15 from the graph, f(x) is not differentiable at x=32 , since slope changes at x=32…

Q: gies each of base (the miapoint rule), estimate the area 4 f(x) = between x= and x = 1

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Q: A 2-ft-high and 5-ft-wide r

A: answer is in next step

Q: [sin(nx)dx 74 76 |sin(nx)dx

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Q: 3. Determine if the given function is continuous on the given point and intervals 1 x<0 f(x) = Osx<5…

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Q: Sketch the region whose area is given by the definite integral. 9. 5 dx y3 1 3 4 3 35 35 30 30 25 25…

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Q: Test the series below for convergence using the Ratio Test. n + 5 54n +2 n=1 The limit of the ratio…

A: The given series,      ∑n=1∞n+554n+2

Q: Let f(x) = V3x . Consider the portion of the curve where 0< y <2. Find the exact value of the…

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Q: 3X (x³+

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Q: 8. Compute using the trig. substitution S x2 -dx (1–x²)1/2

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Q: Find the length of r(t)=[e"(cosbt), ea"(sinbt)] from t=0 to %=D1 (a and b are constants). This plane…

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Q: 137n The point P(1, 0) lies on the curve y = sin 13n (a) If Q is the point (x, sin ). find the slope…

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Q: Determine the equation of the plane containing the point and the line. (-7, 10, —3), r(t) — (1 — 4г,…

A: To find the equation of the plane passing through the point (-7,10,-3) and containing the line…

Q: x3 +5 dx Consider Approximate this by using four subintervals and: A left endpoints B right…

A: To integrate f(x)=x3+5x on the interval [1,5] .

Q: (b) Determine if the lines are distinct parallel lines. If they are, find an equation of the pla…

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Q: Activity 1.3.2. Consider the functionf whose formula is f(x) = 3 – 2x. c. Use the limit definition…

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Q: Shown is the graph of a force function (in newtons) that increases to its maximum value and then…

A: Given query is to find the work.

Q: An equation of a parabola is given. x^2 = 4y Sketch a graph of the parabola and its directrix.

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Q: 3. Find the area bounded on the right by x+y=2, and on the left by y=x and below by x-axis.

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Q: Complete parts (a) through (c) below for the given function. 2x f(x) = x² +4 (a) Find intervals…

A: Given

Q: 3. Evaluate the following integrals: Cose G = 1+ sin ở) v de Vsin

A: LetI=∫cosθ1+sinθsinθdθPut sinθ=udifferentiate on both sidecosθdθ=duI=∫1u1+uduPut u=v2differentiate…

Q: Which example in this section of the textbook shows that estimating limits numerically may not…

A: We have to estimate limits numerically may not always be accurate.

Q: x* cos 3.xdx 2 fr' cos 3.xdx sin 3xsin 2.xdxr

A: Solving

Q: Solve the given item below. Write your answer on a separate sheet of paper. A vertical liquid…

A: Volume of cone(V)=13πr2hr8=h22⇒r=4h11Substitute in the volume formulaV=13π×(4h11)2×h   V =16363πh3

Q: s/25 - s? ds s/ 25 - s ds

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Q: Evaluate the double integral / (a (x² ,2 + 8y) dA, where D is bounded by y = x, y = x°, and x > 0.

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Q: na "rx) ax = 7, evaluate Given dx - 0 dx. dx dx. (c) dx. (d) 3(x) dx.

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Q: Find the area between the curve and the x-axis over the indicated interval. y = 81 -x: [-9, 9] 2.…

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Q: Question

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Q: y = xe?u y = y' = e3z+2y

A: 1)y'=xe2y 2)y'=x2/y 3)y'=e3x+2y Repost the next parts.

Q: у" — бу' — 7у%3D11 sin 4x -

A: We have to mention the general form of the particular solution

Q: Secax dx tana x

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Q: The New River Gorge Bridge is 880 feet above the water below. A bottle rocket is launched rd off the…

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Q: 5. Figure below shows triangle AOC inscribed in the region cut from the parabola y=x by the line…

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Q: Solve the following initial-value problem by using integrating factors: x?y' + xy = 1, x> 0, y(1)=2

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Q: Antiderivatives resulting in inverse trigonometric function dx J xV4x² – 9

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