2. Given : f(x) = {x² - 3, x+3 6, %3D X = 3

Q: 1) Find the derivatives of the following. Simplify your final answers. d) 1(x) = tanh-1 x + In V1–…

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Q: Answer is incorrect

A: Apologies for the inconvenience. Correct solution is given below:   Given: vt=-4t2-2t-8, 1≤t≤6…

Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

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Q: Vn3 + n2 + 1 Determine whether the series converges or diverges. E1 n2 -n+3

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Q: 25. Find the constant(s) c for which the function f(x) is continuous on (-∞,+ ∞) (c? — х2 , х<2 12…

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Q: Determine whether the sequence an = n° + ... + n4 + n4 n4 converges or diverges. If it converges,…

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A: Here we have to find the inverse of the given function.

Q: Verify that the function satisfies the three hypotheses of Rolle's theorem on the given interval.…

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Q: C) Use separation of variable or homogenous equation to get the particular solution for each…

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 6 - -x + 3y + z = 7 Find the normal vector,…

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Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic…

A: As we know that the nth order Taylor's polynomial at x=0 is given by,…

Q: 10

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Q: Find a general term (as a function of the variable n) for the sequence…

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A: Given,  q=95-2p2 Recall: Revenue=p*q

Q: In this figure, p || g. Find the value of x. (9x + 12)° (x-2)° >4

A: Topic = Geometry

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A: To find the volume of solid generated by revolving the gives curve about y axis using disc method.

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Q: Find (if possible) the rational zeros of the function. (Enter your answers as a comma-separated…

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Q: Consider the geometric series 2n+1 Σ 25 (-3)" n=0 a J: What is the first term of the series First…

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Q: Consider f(x,y) =x'+y* +2ry-x+5. Find its critical points and use the second partials test to…

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Q: f) 3rd derivative of y : sin 3x g) Find if yVx – 8 = xy +2. if yvx – 8 = xy + 2. dx

A: Note: As in questions d and e no instruction is given solved f and g for you.

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A: Given query is to find the number of units in indicated years.

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Q: Find the exact real solutions of the following equations. (a) (2 + 1)(3" + 1) = 6" – 4 (b) 3+1 = 52…

A: Let's find.

Q: locate the bifurcation values of α for the one-parameter family and describe the bifurcation that…

A: To locate the bifurcation values.

Q: Consider the following. 7X - 6* lim x-0 4X - 3* Use l'Hospital's Rule to find the exact value of the…

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Q: I am still confused

A: It would be best if you mention with which part you are confused. I'll try to explain it more.  The…

Q: th Use the ri"-term test to find wether the fottowing Sexies exe divergent or not- n+2

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Q: Match the answer please

A: According to new guidelines we have to solve only 3 subparts if questions contains more than 3…

Q: ax +3, if x <2 f(x) = lox²+2, if x 22 It is given that f(1)=5 and f(2)= 6. Find the value of f(a+b).…

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Q: dy by implicit differentiation. dx E. Find 1 ー+ー=2 х у 1 x² +y? = xy 2. 1.

A: the process of finding the derivative of a dependent variable in an implicit function by…

Q: F(x, y, z) = (2xe*) i+ (2y + 3y?22)j+ (x²e* + 2y³z) k is conservative. Find a functionf such that F…

A: To find the function f  And then evaluate the line integral along the given curve.

Q: A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5 ft/sec. i) How…

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Q: 1000 Use the given below to answer #s 40-42 Given: cos A =. 3/5 and sin B =-12/13, where A is in…

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Q: AP Calculus AB - Worksheet 26 Derivatives of Trigonometric Functions Know the following Theorems =…

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Q: 2, |-7- 8X-xT

A: Let's find.

Q: x2 In solving for the antiderivative of f(x) = Fusing trigonometric substitution, Jf(x)dx is…

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Q: Which of the following are equivalent to 5 · log (u-1/6)? Assume u > 0. 1 O log log (u/") 1 log (u")…

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A: This is a problem related to cross product of the function. based on the general formula we will…

Q: Solve: |2x – 4| < 1 Give your answer as an interval. Question Help: M Message instructor

A: Solve the given

Q: 29. What is the lim f(x)? 2 В. DNE С. -2 D. -4 A. O A O D 30. At which value of x is the graph…

A: Solved below

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: Compute the exact value of -1)"(n + 2) 2"+1(n+ 1) * n=0

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Q: Find the area under the given curve over the indicated interval. y= 5: (-2, 1) The area under the…

A: We can find the area under the curve as below.