Let C be the curve of intersection of the parabolic cylinder x² = 2y, and the surface 3z = xy. Find the exact length of C from the origin to the point (7, 49, 343).

Q: Find an equation of the tangent line to the graph of the given function at the specified point. f(x)…

A: topic- equation of tangent line to the function at point

Q: Differentiate and simplify this function f (x) = x2/3 sin(x)

A: We have to find the derivative

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A: answer is in next step

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Q: 2. Evaluate r sin rdr using integration by parts.

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Q: (3 Ian and Ada are both training for a marathon. Ian's house is located 20 km north of Ada's house.…

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Q: Evaluate the limits - im 1 lim x→-2 X

A: limit x→-2 1x3

Q: use your calculator. 3 -2 7 8 -2 2 - 4 -12 7 0 4 3 4 7 4 7 2 8 7 -2 3

A: det3-2478-2-2047444-247-1237-2874-23Reduced echelon form is,=det…

Q: Given triangle ABC, A = 40, a = 15, and b = 19, find B to the nearest degree. Do not round answers…

A: Given triangle ABC, A = 40, a = 15, and b = 19 To find B to the nearest degree.

Q: For 2 and 3, find the Mac series of f(x) by any algebraic method using the above known expansions.…

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Q: Consider the function f(x) = (x² - 1)³ on the interval [-7, 4]. Find the absolute extrema for the…

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Q: Consider the second order differential equation with initial conditions u" - 4.5u' - 5.5u = -4…

A: The given equation is u" - 4.5u' - 5.5u = - 4sin(3t)

Q: Question Find the average value of f(x) = - over the interval [0, 2]. Submit an exact answer using…

A: The objective is to find the average value of f(x).

Q: + 1 -оу-х -oy=x2

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Q: x 0/x 6+29r² SS S 0 0 0 Evaluate the cylindrical coordinate integral The value is 247 960 (Type an…

A: This question can be solved using the concept of triple integrals.

Q: 5 Given h(x) = x³ + px² − x − 4, find a value for p so h(x) has an inflection point at x = -4.…

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

Q: S₁ √√x² √√√xª dx 4 -2

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Q: 4. Find the limit, if it exists. If the limit does not exist, explain why. √3x²+4-4 (a) lim x-2x²…

A: a) limx→23x2+4-4x2-x-2b) limx→326x2-11x+38x3-27

Q: Derive the Fourier spectrum of a signal that is given by z(t) = forect (2T) exp(−j10t + jt) dt.…

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Q: Can the Squeeze Theorem be used to determine lim f(x) when I(x) ≤ f(x) ≤ u(x) on (7,8) U (8,9) and…

A: In this question, we will see the properties of squeeze Theorem.

Q: Find the two values of k for which y(x) = ex is a solution of the differential equation y'' - 14y' +…

A: Solution is here

Q: The output of a factory is changing at the rate of Q' (t) = 2t³ - 3t² + 10t + 3 units per hour,…

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Q: Use Leibnitz's Theorem to calculate the 4th derivative of y = x+sin(4x)

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Q: Vector A) Prove that: V × (F×G) = (GV)F- (FV)G+ F(VG) - G(V-F). m) Find all of the second…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 12 -…

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Q: min

A: Please refer to the image below

Q: A door is swung open by applying a 60 N force as shown, 2.0 m from the hinges. 2.0 m 100° 60 N ←--…

A: We have to find the torque applied at the hinge of the door.

Q: 2 problem: it | b₂ b3 2 LG C₂ Cz 201-2 b b 2 46 40 2 5 - 203 bz 3 403

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Q: If ū = and = and ū is orthogonal to , then k is a. -8 b. 8 C. 4.5 d. -4.5 e. 0

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Q: √√(x + y + 2) ds, 0sus 5, 0≤v≤1 S is the parallelogram with parametric equations x = u + v, y = u -…

A: Solution is here

Q: Power series p₁(x) and p2(x) are given below. P₁(x) = 1 + 7x +49x² + 343x³ +2401x² + ... P2(x) = 1 +…

A: Here, to find the series notations of p1(x)+p2(x)

Q: Find the value of k for which the constant function r(t) = k is a solution of the differential…

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Q: Use logarithmic differentiation y = (x) ²

A: Topic = Derivative

Q: Suppose f (a) g' (b) h' TU IT (5) = −5. Let g(x) = f(x) sin(x) and h(x) = cos(x). Find the…

A: SOLUTION-

Q: An invoice dated January 15th , in the amount of $12,500 has the following terms: 2/10, n/30.  This…

A: topic- discount calculation term 2/10 signifies if amount is paid with in 10 days,2% discount will…

Q: The vector result of (ì − 2j +3k) · (−2ī + 2j − 2k) is a. -i + 7j b. -i+j-k d. j+7k e. -i+7k c.…

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Q: 144° expressed in radians is _____.

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Q: Solve y'' - 2y' + y = 0, y(0) = — 5, y'(0) = = y(t) = - 8

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Q: Yolanda, whose regular rate of pay is $12.90, with time and a half for overtime, worked 48.25 hours…

A: Generally, a work week is 5 days long and has 40 hours i.e. 8 hrs per day at standard.  So 8.25 hrs…

Q: Given f(x) = sech (x) and below is the graph. Determine the domain and range for f(x). f -1 ii)…

A: Pu

Q: Find the volume bounded by the cylinder z=y², y=x² and the planes z=0, y=4.

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Q: Find the function that passes through the point (1,2) and whose derivative is dy/dx = (2/x^3) - 4

A: Topic:- application of integration

Q: Determine the vector and cartesian equation of the plane that passes through the points A(−3, −2,0),…

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Q: 1- What are the disadvantages of the Newton method for solving the following nonlinear systems.…

A: answer is in next step . please give a like

Q: Differentiate the function. 5 y = 6e* √ Read It Need Help? Watch It Master It

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Q: es { [ (x² + 5) } 1_7²_

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Q: Consider the following integral. fx²√³+1 dx Identify the definite integral that will result after…

A: topic- indefinite integral

Q: 5. Evaluate the integrals: a) f(x²-y²)dA where D={(x,y) | -1≤x≤1, -2≤y<2}

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Q: II. Solve the following Linear differential equations of order one.  2.)    хdy + (у — ху + 2)dx

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Q: Evaluate e fxds, v ds, where C is a. the straight line segment x=t, y = from (0,0) to (8,4) 2' b.…

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