I. Represent the following equations in R? by a vector-valued/parametric equations: 1. y = mx + b 2. (y – k)? = 4p(x – h), (p + 0) 3. 2x2 + 2y? – 2x + 2y = 7 4. 4x² – 32y? + 4x + 64y = 23

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A: f(x)=ln(x-9)Since f(x) is log functionIt is defined for all( x-9)>0⇒x>9

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A: 13x is a decay function.Option-D represents it.-13x will be exact reflection of option-D about…

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Q: A polynomial function is given. Q(x) = -x²(x2 – 4) (a) Describe the end behavior of the polynomial…

A: Find your answer below

Q: in lim n' In n→∞ n!

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Q: Consider the table below for lim (f(n)). f (n) 510.5 1022 510.9 5110 510.99 51100 510.999 511000…

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A: This is a problem related to maxima and minima. Based on the general concepts we will answer the…

Q: Curve sketching show all work f(x) = sin(x)cos(x) on [-pi, pi]

A: Solution is given below:

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Q: 4. Convert the vector (2. 3, 4) into the i and i form. Then find its magnitude of the vector.

A: Vector form of a point (a,b,c) is given by v→=ai+bj+ck and magnitude of this vector is given by,…

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A: Graph of the function is given, we have to find its increasing and decreasing intervals

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Q: 3. Give an example of a function with discontinuities at x =1 and x = 5.

A: To Find : A function that has discontinuities at x=1 and x=5.

Q: Use the ratio test to determine the radius of convergence.

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Q: Consider the function below. (x) = -2x² + 4x + 5 (a) Find the critical numbers of f. (Enter your…

A: Given: For (a), f'(x)=-2x2+4x+5' =-4x+4 So, the critical number is f'(x)=0⇒-4x+4=0⇒x=1. Graph: For…

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A: First we will find the equation for revenue.

Q: Find dy/dx, given the following: y = (2+2x) * V2r-4 (z3 +2x) 17-36z2+10r-24 (2x-4) (2x-4)? (z+2x) (…

A: y=x3+2x32x-4Differentiate

Q: The trigonometric substitution x= tan(t) 7 gives J 49 x2+1 dx= sec(t) Select one: O True O False

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A: Given: Complex number 6+5i

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A: The given functions are: x=t3+1, y=t2-t

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Q: 8.Evaluate the triple Integral. Te by The paraboloid X=2yt + 2z? and the plane X=2. 7x dV, where E…

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Q: 4. The last major earthquake in the Bay Area was in 1989 and measured 6.9 on the Richter scale…

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Q: 2. Let Ā and B be nonzero vectors. Find k e R such that Ā + kB is orthogonal to B – Ā.

A: Two nonzero vectors u,v are orthogonal iff u.v=0 For any two vectors A,B we have, (A.-B)= -(A.B) and…

Q: n17 + sin(19n + 7) n19 +7 Determine whether the sequence an converges or diverges. If it converges,…

A: Given the sequence is an = n17+sin19n+7n19+7

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Q: Simplify the following: 72-8(7¹) + 5(7) +49(7-2).

A: This is a problem related to mathematical algebra. Based on the general formula we will answer the…

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Q: lim x - 1 X-> X→-1 x+1

A: limx→-1x2-1x+1=1-1-1+1=00(indeterminate form)Apply L-Hospital rulelimx→-12x  = 21(-1)  =-2

Q: 23n (n!)3 30. (3n)!

A: