-Find the surface area obtained by revolving y = sin x over [0, π] about the y−axis. Sketch.

Q: Which of these points is not on the plane 3x+8y-2z+ 10 = 0? (-4,1,3) (2,-2,0) (1,3,-2) (-2,-1,-2)

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Q: a) à = [ 7₁ -2], 6 = [2, -5] b) c = [ 3,5], j = [1, 2]

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Q: The acceleration function (in m/s²) and the initial velocity are given for a particle moving along a…

A: The acceleration function and the initial velocity are given for a particular moving along a line.…

Q: Find the exact value of cos²() using a suitable power-reducing formula. 0 1-1/2 2 2+√2 4 2-√2 4 O 1+…

A: Explaination of the answer is as follows

Q: Please find equations for the lines tangent to the graph of f at the point where x = a.  f(x) = 2x3…

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Q: Let f(x) = 2x² +3. Calculate the difference quotient (2+h)-f(2) for the h values below. Then, find…

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Q: Assume the given point is on the terminal side of an angle in standard position. Determine the exact…

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Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

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Q: there can only be 1 answer

A: The equation for a plane is

Q: (This means The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from…

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Q: Find the interest rate needed for an investment of $9,000 to triple in 3 years if interest is…

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Q: Determine which set of vectors is orthogonal.

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Q: 12 Let. f(x) = ¹2. Please find f'(x), ƒ'(3), and the equation of the line tangent to f where x = 3.…

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Q: Suppose that sec() = 5, tan() < 0. Compute the six trigonometric functions at the angle 9. cos(8) =…

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Q: If v = 9i - 5j, find -2 ||v||². Round your answer to the nearest tenth, if necessary. O 20.6 -20.6…

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Q: elow is the graph of a function f(x) -5 -4 -3 -2 What is the value of the limit -5 -3- -2- -1- 0 -14…

A: We have to find the limit of the given function at negative infinity from the given graph.

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: A graph of the function is given.We have to find the intervals of increase and the interval of…

Q: Differentiate the following function: g'(x) = g(x) = 4x³ + 8x5 + 1

A: Differentiate the following function

Q: Karen arrives at the subway station every day at a random time and takes the first train that…

A: To determine the most likely explanation, let's analyze the given information. Karen has gone to…

Q: 9. Determine the slope of the tangent to the function f(x) = 5xe* at the point with x-coordinate x=2…

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Q: 2. Use implicit differentiation to find y' for the curve. e sin x = 1- cos (y)

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Q: Suppose the second derivative of f is given by f''(x) = −15x5(x − 6)9(x2 + 49). Determine the…

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Q: Let f(x) = 2x -5 ,  g(x) = 3x2 - 4, Find this composition: f(x) o g(x) =? Hint : Note: f(x) o g(x)…

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Q: Below is the graph of a function f(x) -5 -4 -3 -2 What is the value of the limit -5 -3- -2- -14 0…

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Q: Assume the given point is on the terminal side of an angle in standard position. The value of tan 8…

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Q: If sine = = -and tan 8- 1 0-$ 513 53 3/5 35 5 find sec 8.

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Q: Find an equation of the line tangent to the following equation at point x = 1. f(x) = xtan x What is…

A: Application Of Derivative

Q: a) Approximate the area under graph (a) of f(x) = 2/x² over the interval [1,5] by computing the area…

A: The function is f(x) =   and the interval is . We have to find the area under the given graphs.

Q: 1. Find the derivative. Simplify as needed. (a) f(x) = sin(x) (b) g(x) = sin (e) (c) h (t) = et…

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Q: The weekly demand equation is given by p+ x + 5xp = 51, where x is the number of thousands of units…

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Q: Determine the x-coordinates of the relative extrema of the function g(x) = Enter each answer as a…

A: The given function is,

Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

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Q: Write the expression as a single logarithm log_(6)2+log_(6)108

A: =&gt;log6(2)+log6(108)

Q: The values of two functions, f and g, are given in a table. One, both, or neither of them m exist,…

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Q: Determine the corresponding ordered pair of the point on the unit circle for the following angle:…

A: Determine the corresponding ordered pair of the point on the unit circle for the following angle…

Q: The acceleration after t seconds of a hawk flying along a straight path is a(t) = 0.4 +0.12t ft/s2.…

A: a(t) = 0.4 + 0.12t

Q: Using the appropriate sum-to-product formula, the expression cos4x - cos3x can be rewritten as cosx.…

A: The given expression is,

Q: why was in step 2 the denominator is t-2 then in step 3 it became t-4?

A: To evaluate the following integral.Note: After seeing the previous solution, we observe that there…

Q: Solve the equation √3+5 cos 0 = 3 cos. Express the answer in radian measure. * Student can enter max…

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Q: If the equations(t)=³-2² +1 describes an object's motion in metres, at what time t, in seconds, will…

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Q: Which of the following statements is true? Select all that apply. If an diverges, then lim an 0. n→∞…

A: Stament related to converges and diverges

Q: 11. Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS where P(-2, 1,0), Q(2,…

A: We have,Parallelepiped with adjacent edges PQ, PR, and PS where P(-2, 1, 0), Q(2, 3, 2), R(1,4,-1),…

Q: Describe the given region in polar coordinates. sos.srs[ The lower portion of the region is (Type an…

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Q: there is no option of 7 over root 38

A: Given,

Q: For the demand function q = D(x): = 30x, find the following: The elasticity equation: State the…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve sin(x + y) = 4x -…

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Q: Question 4 Let −4x² + xy + 3y² - 13x − 8y - 3 = 0. dy Use partial derivatives to calculate > dy dx…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: hine the cartesian equation of the plane th 4), and C(4, 5, 5).

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Q: -10 -5 2 5 -5 -10 5 10 x

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Q: Consider points A=(1,0,1) and B=(0,1,0) fasa and r [x+y=1 (==y+l and lines S: a) There exists C Er,…

A: By finding the equation of line passing through A and B, we can solve the question.