Current Attempt in Progress Find the average value of f(x) = Enter the exact answer. fave = X (4x²+4)² over the interval [1, 2].

Q: Find the divergence of the following vector field. F = (5x²yz, - 4xy²z, -5xyz²) The divergence of F…

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Q: 3. lim (x² 3x) = -2 x-2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the points on the curve t² 16t+ 6, y X = = A. a horizontal tangent line B. a vertical tangent…

A: Given the curve is x=t2-16t+6  and y=t2+4t+3

Q: The polynomial of degree 4, P(x), has a root of multiplicity 2 at x = x = 0 and x = - 4. It goes…

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Q: Equations in y = mx Form For Exercises 1-3, determine whether each linear function is a direct…

A: For a linear function, when y value increases as x increases, then this is a direct variation. here…

Q: An rectangular metal box without a top is to be made with panels that are 0.5 inch thick. The inside…

A: let b = width l = length h = height Given each panel has 0.5 inch thicknessso db = dl = dh = 0.5 in

Q: A cylindrical water tank has a height of 6 m and a radius of 4 m. How much work is required to empty…

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Q: 8. Solve 2 cos 2x = 1 Write the solution set for the general solution. b. Write the solution set on…

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Q: 2 1 2 X 4 5

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A: We have to find the derivative at given point.

Q: Find the area under Y te -0.6t for 0 < t < 5.

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Q: 3. Refer to the function F in the graph shown. Use the graph to determine whether F'(x) exists at x…

A: The derivative of a function does not exist at x=a, for these possible reasons The function is…

Q: (D4 − 4D³ + 14D² − 20D + 9)y = 0 -

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Q: Where on the interval [0, 7] is the secant line parallel to the tangent line for y = x sinx?

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Q: Find the value(s) of ß for which y (t) = cos(ßt) satisfies y” + 100y = 0

A: Given that yt=cosβt satisfies the equation y''+100y=0. We have to find the values of β.

Q: For the following vector field, compute (a) the circulation on and (b) the outward flux across the…

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Q: Solve the initial value problem given below. In your solving process, make sure to (1) write the…

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Q: Solve this differential equation: dy dt y(0) = 10 y(t) = 0.03y(400 - y)

A: We have to solve the given D.E.

Q: Find a formula for the Riemann sum obtained by dividing the interval [a, b] into n equal…

A: Let's find area under the curve.

Q: Evaluate the expression. 7P4 The solution is

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Q: e √(x + 2√y) ds Evaluate ds where C is given in the accompanying figure. C (1,1) C Alve y=x y=x² 1-…

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Q: How many solutions exist for the equation cos 20 - sin 0 = 0 on the interval [0, 360°)? Oo 01 02 03

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Q: 806 Chapter 14 Multiple Integrals It does not apply to regions with complicated holes through them,…

A: Let's find radius value.

Q: Find the area under the given curve over the indicated interval. y= e2x ; [0,4]

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Q: If 5x² + y² = 61 then evaluate when z = 3 and y = 4. (Answer accurate to two decimal places.)

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Q: Find the following limits for f (x) = lim f(x) 00 1-3- lim X-3+ If necessary, select the most…

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Q: Suppose cos(x) = 32 and csc(x) < 0. Give all answers as exact values (no decimals). 40 a. The…

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Q: Which of the following can cos² be simplified to? 0 1-sin O 1 + sin e 01 - sin e O sin e O cos -…

A: Given expression: cos2θ1-sinθ

Q: 2. Given x³ + y³ = 3xy, find the equation of the tangent line at (2/3,4/3). I'm looking for your…

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Q: Condense the expression to a single logarithm. 3 log7 2 - 15 log7 5 2³ A) log7 15 B) log7 (10.35) C)…

A: Given query is to compress the logarithmic expression.

Q: Find the derivative. dx sin tdt

A: We have to find the given derivative ddx∫0x5sin t dt.

Q: Find the volume of a soild generated by roatating the region bounded by f(x)= x^3 and g(x)=2-x^2 and…

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Q: Find the area of one petal of the graph r = 3 sin 40.

A: NOTE: Refresh your page if you can't see any equations. . here we need to find the area of one…

Q: 3. Sin(x+y) = (OS X. +. Cosy)) Cidly dx600)

A: given equation is :- ⇒sin(x+y)=cosx+cosythen we have to find implicit differentiation y '.   so…

Q: Given the function f(x) = - x2 - 4x - 3 a) What is the maximum value of the function? Why? b) What…

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Q: [s 3 sin³ (x) cos(x) dx

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Q: Determine if the following series converge or diverge (include tests names)…

A: Limit comparison Test :

Q: If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a…

A: Given,           The price charged for a candy bar is px cents, then x thousand candy bars will be…

Q: The nth term of an arithmetic sequence is given. an = -8-4(n-1) (a) Find the first five terms of the…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: We need to find parametric and symmetric equation.

Q: 2x -5 dx x²-2x-8

A: I=∫2x-5x2-2x-8dx

Q: Determine the point on the sphere: x2 + y2 + z2 = 5 farthest form the point: (2, 2, -2)

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Q: air (-2,2) in rectangular coordinates to polar coordinates.

A: We have to convert rectangular coordinates and polar coordinates according to the given information

Q: OA. The resulting matrix is (Simplify your answer.)

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Q: -3 10 The graph above shows the base of an object. Compute the exact value of the volume of the…

A: The graph of base of an object is given as , Find the volume of the object ?

Q: Sketch the graph and show all local extrema and inflection points. xx-ga

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Q: Compute the integral of the scalar function or vector field over r(t) = (cost, sint, 5t) for 0 ≤ t ≤…

A: To evaluate the given integral.

Q: Find the points (x, y) at which the polar curve r = 1 + sin(0), horizontal tangent line. Vertical…

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Q: Let w = f(x,y) with x = (r, s) and y = o(r, s). Compute 8² w Əsər

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Q: would love some help

A: Topic:- sequence and series