Consider the curve y = 3x3, The sketch of the portion of this curve between x = - 1 and x = 8 is presented below. y 12 -1 1

Q: Given the polar coordinates (1, – 7), which of the following would represent the positive angle?…

A: Given query is to find the equivalent polar coordinates.

Q: Does this mean the sequence is always convergent?

A: We can take limit of the sequence.  limn→∞an=limn→∞-1n-1nn+n

Q: x2 +x+1 3. dx. Use partial fractions. 2x2 +2+x+x

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Q: d f. f "'(x) = cos(x), f(0) = 8, f '(0) = 8, f "(0) -) =

A: Given query is to find the solution of the differential equation.

Q: Express the Cartesian coordinates (-3, 1) as polar coordinates. (2, 330°) O (2V2, 150) O (2, 150)

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Q: 1 The domain of the function f (x = e VI-2 js O a) [2, 00), or, equivalently, {x > 2}. O b) (2, 00),…

A: Consider the function  f(x)=e1x-2

Q: Find the average value of the function on the interval. Give an exact answer. f(x) =  1/(x-7)^2…

A: For average value of f, we need to integrate in the given interval.

Q: If f(x) tdt then f'(x) =

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Q: Evaluate

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Q: What is the volume of the region R = {(x, y, z) ER/l < x < 3; 2<y< 4;3 < z < 5} ? Select one: O None…

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Q: Solve Nonhomogeneous Equations - Undetermined Coefficients (D^2 + D − 2)y = 2x − 40cos2x

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Q: Compute the derivative of the given function. f (x) 10x-1/4 cos e + 7 sin a %3D -

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Q: 2) Given: f(x) = x+sin(2x) over the interval (0,7) a) Use a sign analysis to find the relative…

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Q: 4. S Vä(x² + 2) dx 5. S(-3 Vã – 6x v7) dx 6. (9x*-6x²+7x²-5x+15 dx 3x

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Q: Given the conic section 4x^2 - y^2 - 24x - 4y + 28 = 0 do the following:   1. Write the standard…

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Q: B/Using the following table, find f(x) as polynomial in x: -1 0. 3 6. F(x) -6 39 822 Good Lup

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Q: Show that the following are equal using set identities. Provide the correct solution with the name…

A: The left side is: C∩C-B∩C∪A∩B-B∩C-A We first simplify inner parts:  C-B∩C A∩B-B∩C

Q: Evaluate the triple integral (x + 2y) dV where E is bounded by the parabolic cylinder y = 7x² and…

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Q: Step 3 We must also convert xõ dx into an expression involving u. Using du = 9x³ dx, then we get x…

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Q: -3 if x 2 4 -5 -4 -3 -2 2 3 5 -1 -- 4 -2 -3 -4 -5-

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Q: [43 80 -60 Let A = Find an invertible matrix X and a diagonal matrix D such that [30 60 -42] D =…

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Q: Find the limit. (Hint: Let x = 1/t and find the limit as t → 0+.)  lim x→∞ 2x tan(1/x)

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Q: Express the polar coordinates (-2, -7) as Cartesian coordinates. (2, 0) (0, -2) O (0, 2)

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Q: Select all that apply. Complete the general solution to y = arcsin -3. y = _+2k 3 5л O O O

A: Solving

Q: ds ds Draw a dependency diagram, and write a chain rule formula for др where s = g(x,y,z), x =…

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Q: Continuity of a function on an interval: Show your solution, graph (use GeoGebra) and identify if it…

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Q: 5) The hypotenuse of a right triangle is 12 cm in length. Calculate the measures of the unknown…

A: To find the dimensions of given triangle such that it has maximum area.

Q: The figure shows the graphs of the cost and revenue functions of a company that manufactures and…

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Q: 1. Vectors v and w are given on the grid. It can be calculated that 2v + w = . Make a drawing on the…

A: First take the origin and find v &amp; w vectors then solve each part.

Q: y3 r³ – 4x – 1 = 0 3 Find dy/dx and explain why dy/dx is always positive. Where on the interval [0,…

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Q: 3 Find the arc length of the astroid: x = cos t, y = sinº t, 0 <t < 2T

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Q: Solve the problem. Given that f(x) = 5x², find lim [f(x) - f(4)/(x - 4)]. X-4

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Q: Choose point which has the correct location for the polar coordinate(-4, 180\degree). 90° WIN A 150°…

A: see below the graph and the answer

Q: 2.) Find the area between the curves y? = 2x and y 6-x

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Q: Suppose that '(t) and F(0) . Find 7(t) F(t) = <

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Q: dy Find dx for the curve: x = t, y= 2/t, t>0

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Q: Find the potental function of the vector fieid F(z, 9) = -9yevi- 18zyej when the constant of…

A: Solving

Q: The​ half-life of a certain tranquilizer in the bloodstream is 45 hours. How long will it take for…

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Q: Compute the directional derivative and gradient of f(x, y, z) = 4r – yez at (2, -1,0) in the…

A: Given: fx,y,z=4x-y2e3xz       at     2,-1,0 Directional Derivative = Gradient of function x unit…

Q: Let f(x, y) = (x – 6)? Graph the boundary of the domain of f below. 7+ 5- 4 3 -7 -6 -5 -4 -3 -2 -1…

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Q: ven -5z'ydz - 2rzdy+ (z+ y)* dz where C is the helix parameterized by r (t) = (34, sin (t), con (t))…

A: To set up the given  line integral in terms of t.

Q: An oral medication is absorbed into the bloodstream at the rate of  4e−0.04t  milligrams per…

A: Find the total amount of medication absorbed within the first 20 minutes

Q: For the functionf(x) given below, evaluate lim f(x) and lim f(x). X00 X→ー0 f(x) = cot- (14x + 2x')…

A: Given problem:-

Q: b- Lim (3x³+x²-2/x²+x-2x³+1)

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Q: Sally is standing on a wharf that is 5m above the surface of the water. She is pulling on a rope…

A: Use the trigonometric ratios and application of derivative.

Q: A (x -3) dy X +y -.

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Q: Sing Rolle's theorêm for the following function, find all values c in the gi here f' (c) = 0. If…

A: Given query is to find the value value of c.

Q: 5. sin x sin 4x dx c

A: We have to find integration value for the given function

Q: S, f(2)dx+ f(x)dx = 21. 23. S f(G)dr + J, f(x)dx =, = <p(x)f f – xP(1)f !!

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Q: 10 | Vx3 + 6 dx, n = 4

A: Given