Use the determinant theorems to find the value of the determinant. -4 5 - 1 8 - 1 4 - 7 9 8 3 1 1 The determinant is 0. (Simplify your answer.) 2. 3.

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A: We can find the derivative using chain rule as below

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A: Here, an=4n2+3n-2n, n≥1     =4n2+3n-2n4n2+3n+2n4n2+3n+2n     =4n2+3n-4n24n2+3n+2n     =3n4n2+3n+2n

Q: To evaluate the integral dz, we use Select one: Substitution with z = 2 sin 0, where 2 O Substitutio...

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Q: 2. Evaluate lim x-4x+1 X-1 x-1

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

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A:   note : i can ans 1st and 2nd part and remaining part not related to this question so pls reroute i...

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Q: CHAIN RULE DERIVATIVES Directions: Defferentiate the given functions. 4) glx) - (Aut - Bu)

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A: The given data is: C'x=-0.00001x2-0.02x+46 for x≤1300 Approximate the total cost of manufacturing 13...

Q: Question 4 Evaluate the integral *dx, 2" -+C In2 A +C In2 B 2 -+C In2 D +C In2

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Q: Use the Integral Test to determine if the series 1 Σ (n +2)°/¾ n=1 converges or diverges.

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Q: To evaluate the integral 4+2a dr, we use Select one: O Substitution with a = 2 sin 0, where Substitu...

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Q: 2x +4 9. Let f(1) = Find the equations of the horizontal and vertical asymptotes of %3D 5x +2 y = f(...

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next ti...

Q: Consider the function f(r) %3D f(1) has two inflection points at x = C and x D with C <D where C is ...

A: Given problem:-

Q: Find the area bounded by the given curves and lines. 1 (2-2)3 x = -2 x = 0

A: This question is based on application of integration.

Q: 1. Consider the differential equation 2y" + 7y' – 4y = sin 3x + 4e#/2. %3D (a) Determine the form of...

A: topic   -  differential equation 

Q: (x+1)' sin x (c) lim- 2x x-0 (d) sinx lim 0 5x 20 +sin e lim (e) 40 бх -sin 2x lim X-0 2x+3sin 4x (f...

A: Using l hospital rule evaluate limit. 

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A: given 

Q: 1. y= x - x'cosx + 2xsinx + 2cosx

A: solution:-(1)y=x3-x2cosx+2xsinx+2cosxy'=ddxx3-x2ddxcosx+cosxddxx2+2xddxsinx+sinxddxx+2ddxcosx=3x2-x2...

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Q: he demand, D, for a new rollerball pen is given by D = 0.006p° - 0.4p + 180p, wherep is the price in...

A: Since you have asked multiple question, we will solve the first 3 part of the question for you as pe...

Q: 5. Use the definition of the Taylor Series to find the Taylor Series for the function f(a) 2- cos(x)...

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A: Given secA+tanA=x To find secA:

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Q: Consider the function f(x) 2x + 6x2 18x 54. a. Find the first derivative. f'(x) b. List any critical...

A: Given problem:- Consider the function f(x) = 2x³ + 6x² -18x-54   a. Find the first derivative. f'(x)...

Q: What is the domain of the function f(x, y) = x² /ỹ – In(x)?

A: topic -  function domain and range 

Q: C(x) = 0.01x-0.3x + 9x gives the cost, in thousands of dollars, to produce x thousand items. (a) Fin...

A: (a).C(x)=0.01x30.03x2+9xC'(x)=0.03x2-0.6x+9 (b)C'(0)=9    

Q: 9. Evaluate the definite integrals (give exact answers): a) (2x + 3)(r – 5)dx b) e -(1³ – 2x² + 1)dx

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

Q: x2 - 3x - 10 s 0 ² - 10 s 0 O [5, 0) (-0∞, -2] or [5, ∞) O(-00, -2] O(-2, 5]

A: Topic = Inequality Correct Answer [-2,5]

Q: 53х dx (53x + 1)2 A) 3 V5x + 1 + C B) – 3 V5x + 1 + C In5 3 C) 3ln5 (V5x + 1) + C D) V5x + 1 + C 3 E...

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

Q: Evaluate the Integral / tanh (2x)đx. A @ --n|cosh(2x)| + C B -In|cosh(2x)| + C © 21n|cosh(2x)|+ C D ...

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Q: Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the so...

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Q: Let {an}n=1 be a convergent sequence such that a1 = v5 and an+1= /5an Compute lim an

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Q: 9 y= Arctan( 1-2x

A: Use simple differentiation twice to get the answer.

Q: Change the order of integration and evaluate the new iterated integral. int _0^1 int _y^1 (x^2 e^(xy...

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Q: True or False: To evaluate the integral dr, 9. we use substitution withz= 3 sec 0, where Select one:...

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Q: 1. List the first five terms of the sequence (-1)"-1n An n! + 3 n > 1.

A: We have to find first 5 term of Given sequence.

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A: Given query is to find the cost of prducing x cards.

Q: Question 1 2dy Evaluate the integral Зу — 4

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Q: To evaluate the average value of the function f(x) 1- 3e* over the interval [1, 6] which of the foll...

A: The detailed solution is given below Thank you 

Q: dx Vx

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Q: Consider the function fix) - sin x. Complete the table below and sketch its graph. 011/6 11/2 Sn/6 7...

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Q: The function A Age0.19t models the amount an individual owes a credit company t years after some ini...

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Q: 4. Determine where V(z) = z*(2z – 8)³ is increasing and decreasing.

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