6x Find an equation of the tangent line to the graph of y = 2 X +1 at the origin and at the point (-1,-3).

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

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Q: arbitrary

A: We have to eliminate the arbitrary constants from the given  function

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A: According to bartleby guideliness we can answer only the first question.kindly repost the other ques...

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A: Explanation of the answer is as follows

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A: % Matlab Code% defining the range for xx = 3:0.5:5;y = (x) ./ (x+(1./x.^2))

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Q: (:)? /3 9. Which of the following is equal to (b) (–1)"-12·5., 3"n! 3.5-7..... (2n + 1) (Зп — 4) ......

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Q: 8. What is dx (x2+8)3 9. What is {(Sin (tan (x*)} dx dy 10. What (x -2x +5)6 dx =一

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Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v orth...

A: We know that vector component of v along b is v→·b→b→ Vector component of v orthogonal to b is v→- v...

Q: b) an = (-1)"/n (-1)" Vn c) an

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Q: Find the real zeros of each polynomial. 11. f(x)=x-2x2-5x+6 12. f(x) =x' +2x'-12x-40x-32 13. f(x)=x'...

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Q: Evaluate f 1+cos 4x dx 1-cos 4x

A: To evaluate the given integral.

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Q: Find the derivative of the function. 6z 12 - 5 u² – u?+5du g(r) = 32

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Q: Find the antiderivative, G(t), of the function g(t) = (5n²t? – t*)v5n2 – t2.

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x2 + ...

A:   Intersection points:  x2 + y2 - 4ax = 0                                                          ...

Q: dy Find if y = In x5 + e-cos2x – In e?. dx dy 4 sin x cos x dy 5 es sin²x-cos2 x dx e cos2 x-sin? x ...

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

A: Here we check the convergence of the given Integral.

Q: 出w-2 Verify that Wメy Wyx for the functions's T- f(xsy) = En (2X +34) fcxyy) = e+x Luy +y Lnx 2-

A: Since you have posted multiple question at a time as per guidelines we can solve only one question a...

Q: Look for the volume of the solid produced by rotating the region enclosed by about x? - 2kx – 4ky + ...

A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line x=...

Q: How-3 Find Zxx if Z=fcusvd uz x?y,V=2xy Exfress the answer interms of Xy, Zu, Zv

A: Implicit Differentiation: If z=f(u,v) , u=g(x,y) and v=h(x,y) then, ∂z∂x=∂z∂u∂u∂x+∂z∂v∂v∂xand ∂z∂y=∂...

Q: 2. Construct a table of values to investigate the following limits. 2r +1 lim a. 42 I-3 I+3 if z1

A: This is a problem related to the limit and continuity. Limit of the function is exist if right hand ...

Q: 디/2 Evaluate using Wallis' Formula: sin5 x cos x dx

A: Use Wallis formula.

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Q: x(xキャュ DISTRI BUTI VE PROP.

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Q: Vx – x The lim x→1 In x

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Q: Consider the fünction: f(x) = 5x + 15x² - 5x- 3 %3D Step 1 of 2: Determine the intervals on which th...

A: Concave up if f"(x)&gt;0 Concave down if f"(x)&lt;0

Q: Find the volume of the solid generated of the area bounded by y2 = 8x and y = 2x, rotated about y = ...

A: Given:-the region bounded byy2=8x and y-2xrotating about y=4using cylindrical shell methodr=4-yh=y2-...

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Q: Sx +5 if x m . Find the value of m such that g(x) = is continuous at x = m. А. 2 В. 4 C. 8 D. -1

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Q: a)Solve the following IVP: d^2y/dt^2 − 4(dy/dt )− 5y = 0, y(1) = 0, y′(1) = 2

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Q: Find the antiderivative, G(t), of the function g(t) = (3n?t? – t4)V3n² – t².

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Q: Activity 1. Solve for what is asked. dy 1 1 1. Find :+= = 8 dx y 2. Find : x²y2 – 2xy = 8 dx 3. Find...

A: Differentiate with respect to x.  According to guidelines we solve only first three parts. 

Q: 12. Given f(x) - -5Vx + 2 and g(x) = vx+ 6, what are the restrictions on the domain for th 12. Given...

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A: Topic = Vectors

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A: Basic identities of derivative are used.

Q: 13 8 cos 37 + i sin 8 |10 + i sin 16 Cos 16

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Q: Solve for the derivative of the following and simplify if possible. f(x) = 2 cos x - 6 sec x + 3

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Q: A solid lies between two parallel planes 5 feet apart and has a volume of 45 cubic feet. What is the...

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