If the limit of x->3- and x->3+ is +♾️, while f(3) is 2, is this a removable or infinite essential discontinuity? Graph and explain the answer

Q: 12x +1 dx. (2x- 1)2 (3x+2)? Evaluate: 1 (A (2x- 1)2 (3x +2)² +C B (2x- 1)3 (3x + 2)3 3 + C ⓒ In l(2x...

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Q: An isosceles triangle has an area of 21 cm2, and the angle between the two equal sides is 57/6. Find...

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Q: 3) A businessman ventures to put up a digital printing shop which caters to printing of t-shirts for...

A: Let the number of t-shirts that will obtain maximum gross return is = 50+x. In this case x t-shirts ...

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Q: ax + b Differentiate f(x) where a, b, e, and d are conetants and %3D cx + d' ad- bc 0. f'(x) = 0 %3D

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Q: 5. y( 8x -9y) dx + 2x(x-3y) dy = 0 ans. x'y(2x-3y) = C #5 by another mmethod

A: According to our guideline we can only answer first question and rest can be reposted.

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: We find out the Taylor series of e5x at c=0. Follow 2nd step.

Q: Find the nth Maclaurin polynomial for the function. f(x) = eX, n= 5 Ps(x) = ||

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Q: Find the derivative of f(x)=8x - 5x+2 using first principles (i.e., use the definition of the deriva...

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Q: dx Given: 7-ge-2x. Using u-substitution and transforming the integrand, find du. A 18e-2xdx B - 18e-...

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Q: tan (In |4x²|) (In |(2x)^|)|+C. what is b? The integral of -dx is b In cos

A: Given: ∫tanln4x2xdx Integrate the equation we get, Consider, u=ln4x2 du=2xdx Substitute in integral ...

Q: As of 1995, the human population was expected to double within 50 years. If we calculated r for the ...

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Q: To evaluate the possibility of using pyramid-shaped vessel, the rate of change of the dimensions wer...

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Q: 1. Consider the relation R1: R2 - R such that (r1, y1)R1 (x2, y2) if and only if both points are on ...

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Q: Estimate the maximum volume of a conical pile of road salt that can be stored on an area in the shap...

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Q: b. Recall that f(x) = 2*-1 - 1. Graph of f,(x) = f(-x) + 2, f2(x) = f(-x+ 1) +1, and fs(x) = fi(x) +...

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Q: 1.3(5x - 2)dr Sr -4x+ 3

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Q: Express the following as the logarithm of a single quantity. log 74 + log 716 Choose the correct ans...

A: The given logarthim expression,   log745+log716

Q: (b) lim log1 r+2+ (x – 2)? sin(2x2 – 3x – 2),

A: solution:-limx→2+ log13x-22sin2x2-3x-2=limx→2+ -log3x-22sin2x2-3x-2=limx→2+ log3sin2x2-3x-2x-22=limx...

Q: 4. f(x) = (Vx)(x² – 2x) %3D 5. y = (x + i)(x² – 1) %3D

A: derivative

Q: Compute the derivative of the function y using derivative rules. y = (9x + 5)' (Express numbers in e...

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Q: 4. In selecting a price for a product using differential analysis, which of the following de should ...

A: ANSWER: B. The price that will result in the greatest total contribution margin, assuming fixes are ...

Q: 04) Prove that 1- Cos + x) = sin x, 2- (sin x +cos x) sec x = sec2 x %3D

A: We have to prove that following trigonometric identity.

Q: Given: / 5x2 tan(3x³) dx. Ifu=3x°, then the resulting integral is Jf(u) A B none of the choices 5 18...

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Q: each

A: We have to find the derivative of the given function using the rule of derivative

Q: 8*+2 11k–1 k=1 The series diverges ||

A: Given problem:-       To find:- Given series divergent or convergent and find its sum

Q: Use the formula for the binomial series: (1 + x)" = 1+mx+ + 21 = 1+ £in to obtain the Maclaurin seri...

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Q: Question 12 If the solution to e2x sec2(e2x+1)dx is equal to ktan (e2x+') + C, find the exact val S ...

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Q: Consider the series. 14 14 14 14 + ... 34 3 32 33 This can be written as a geometric series in the f...

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Q: A company financed the purchase of a machine with a loan at 2.75% compounded quarterly. This loan wo...

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Q: By using chain rule Find dy/dx iff- u=-1, x=-1

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Q: Determine whether the series converges. k=1

A: We use limit test to find convergence or divergence of given series. Follow 2nd step.

Q: State whether the following series is Convergent or Divergent. n=1 O Convergent O Divergent iM:

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Q: (e) Every functionf defined on (-∞, ∞) that satisfies the condition that lim f(x) = lim f(x) = ∞ mus...

A: topic - functions

Q: Solve. Vx+14 =x+2 of Select the correct choice below and, if necessary, fill in the answer box to co...

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Q: State whether the following series is Convergent or Divergent. (-1)" Vn +1 n=1

A: Absolutely convergent :If the the mod of the alternating series ∑n=1∞(-1)nan i.e., ∑n=1∞|(-1)nan | =...

Q: Solve. y+2 y-10 = 3 4 3 Select the correct choice below and, if necessary, fill in the answer box to...

A: We will find the solution of given equation as shown below

Q: Evaluate the limit. (Use symbolic notation and fractions where needed. Enter DNE if the limit does n...

A: The given limit,       limx→9ex2-e81x-9

Q: Complete the table by stating whether the equation is ordinary, partial and linear and non-linear. A...

A: Let's find. 

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 4 Pa(x) =

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Q: Given: -dx. Using u-substitution and transformation of integrand, what is u and du? 3/x - 2x 3 (A) u...

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Q: B. Prove that the given equation is a solution to the given DE: 7. y = Ax + Be* ; (x- 1) y" - xy' + ...

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Q: b. Recall that f(x) = 2*-1-1. Graph of fi(x) = f(-x) + 2, f2(x) = f(-x+1) + 1, and fs(x) = f,(x) + f...

A: The given function,          fx=2x-1-1

Q: + 0o Consider the improper integral dx. What will be an appropriate solution and answer? x2+ 2x+2 A ...

A: We have to find value of given improper Integral.

Q: 1. Consider the relation R1: R R2 such that (r1, y1)R1 (x2, y2) if and only if both points are on th...

A: We are given a relation  R1: R2  -> R2  such that any (r1, y1) , ( x2, y2) ∈ R2 are related to ea...

Q: 12. In the polar coordinate system, as defined in Chapter VIlc, r and e are related to x and y as r ...

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Q: Do the following: (a) Construct the table of values; (b) graph the function; and (c) find the indica...

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: 2) An agriculturist wanted to plant seven different organic crops in a small field. To properly stud...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 7 (1 -7)° (...

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Q: Use the difference a -a, to show that the given sequence (a,] is strictly increasing or strictly dec...

A: The given sequence is; {an} = n/(3n-2).