Find the equation of the line tangent to y = 3x² + x +1 at x = -3 Oy=-17x - 26 Oy=6x-3 Oy=-17x - 3 Oy=6x + 26

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A: Let's find.

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A: Maximal domain is the largest set of real numbers for which the function is defined. The given…

Q: The series E, an is convergente then the series E(an) is also convergente Select one: True O False…

A: 1.The series ∑k=1∞an is convergent then the series ∑k=1∞an2 is also convergent.2.If ∑n=0∞an is…

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A: we have to solve system of differential equations

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A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: f (x) = x² – 2x ; a = 1 f (x) = |x| ; a = 0 f (x) = ; a = 0 3 x+1 f (x) = ; a = 3

A: f(x) =x2-2x  ,From graphContinuous and differentiable at a=1

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A: This question can be solved using the concept of domain of vector function.

Q: Evaluate the iterated integral by converting to polar coordinates. (x² + y?)3/2 dy dx dr de = Jo

A: Follow the procedure given below.

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A: We can solve the given problem as follows:

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Q: 3. In the differential equation (2x+ ydx-3(2x + y+4)dy =0, we let the substitution dy :

A: We can solve the given differential equation  by  using  the substitution            u = 2x+y

Q: Find the directional derivative of the function at P in the direction of v. F(x, y) = x³ - y, P(8,…

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Q: Simplify

A: Answer is no solution.

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A: As per our company guidelines we are supposed to answer only three sub parts of a question.kindly…

Q: (5x – 6) (2а — 5) (ӕ — 3) 5х — 6 - Let f(x) = 2x2 11x + 15 - - 1) The domain in interval notation is…

A: As per Bartleby guidelines rule we have to answer only 3 sub-part of a question.

Q: (a) Find lim 0 arctan(3r)

A: Since you have posted multiple questions which are not interlinked i can do first question as per…

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Q: 9y" + 6y' + y = 0, y(0) = -1, y' (0) = 2.

A: THE SOLUTION IS GIVEN

Q: Consider the curve y = 4x3. The sketch of the portion of this curve between x = – 1 and x = 8 is…

A: Arc length formula:L=∫ab1+dydx2 dxy=4 x23dydx=423 x-13dydx=83 x-13

Q: (- 1)" Σ n =1 n 3+5 8.

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Q: Use the comparison test to verify that the following serie 00 1 Σ n=17+n7

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A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 2" is convergent. The series 2 n=1 h+1

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Q: The following figure shows the graphs of y = f(æ) and y = g(x), together with the %3D indicated…

A: Given problem:-

Q: 3x3/2 2е + dx

A:

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A: Given;  w=x tan(y+z), (3,7,-3).

Q: x²-x dx 1+3x²-2x³ 2-2x3

A: Given problem:-

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Q: _9. Which of the following is equal to fo°dt? A. e C. ex+C D. et +C B. e° +C _10. What should be the…

A: Given data÷

Q: Solve the differential equation dy xy y(0) = -3. dx V1+ x? There is no need to isolate y.

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Find polar coordinates (r, θ) of the point (1, −2), where r > 0 and 0 ≤ θ < 2π.

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Q: The r.m.s. value of f(t) V2x – 1 across [-2,1] is Answer:

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Q: Solve the differential equation dy æy? y(0) = 1 dx /1+ x² There is no need to isolate y.

A: A detailed solution is given below

Q: Express the given equation in polar coordinates. 144xy = 121 121 p² sin? 0 = 144 121 ? cos 0 sin 0 =…

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Q: ꭍkg(x)dx=___ where k is a constant * a.(k/2)ꭍg(x)dx b. ꭍg(x) c. kꭍg(x)dx d.1

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Q: dy (2xy + x²) = 3y² + 2xy dx %3D Choose... Choose... Homogeneous Differential Equation Differential…

A: From the given differential equation find the type of differential equation

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Q: A manufacturer has determined that t weeks after the end of an advertising campaign, the rate change…

A: A manufacturer has determined that t weeks after the end of an advertising campaign, the rate of…

Q: Solve the following differential equations of (у-ху)dx + хdy %3D0

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Q: Find the area of the region enclosed by the rose r = 10 cos 30. NOTE: Enter the ezact answer. A =

A: Here, the polar curve is r=10 cos 3θ which is as shown: