Given that f (x) = x 2 - 5x + 6, evaluate the function f(6). 0 -12 12

Q: 6. sech(4x) tan (4x) dx

A: We need to evaluate integral.

Q: Using the Nth term test for divergence, V5n-2 n2 n=1 diverges since lim V5n-2 n² is equal to n→∞ 8.

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Q: Solve the second derivative(y") of the following function and simplify the final results. Show your…

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Q: Using appropriate trigonometric substitution, dx xV4 - x2 is transformed to 1 S csc 0 de cos e d0 2…

A: Topic = Integration

Q: 1. f(г) — 2? + Зх — 6, д(х) %3 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Select one: 2s2 - 2s 6 S-3 O None of these 252 2s + 6 3 3s2 - 3s + 6 2 3s2 3s 6 S-2 Which of the…

A: Topic:- function  Note :- as per our guideline if more than one question uploaded than only first…

Q: The indicial equation of the differential equation x²y" + (x2 – 3x)y' + 3y = 0 about the regular…

A: Given

Q: Drag each set of column entrles to the correct locatlon In the matrix equation. Not all sets of…

A: This problem gives us the system of linear simultaneous equations. This system can be represented by…

Q: 3. Consider the parametric equations x = 1+ cos(t), y = -2+ sin(t), 0S <2M. 3.1. Find an equation…

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Q: The following sequence (7532h n! an = e O diverges converges to e converges to 0 converges to 1

A: Given problem:-

Q: Using appropriate trigonometric substitution, dx XV9 — х2 is transformed to

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Q: 4ln(Arctan x) = 1- y

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Q: 2. Find the average value of the function x2 In(x) for 1 5x<3 Show your work in evaluating any…

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Q: In Vix dx sce x dumx dX Serx tam

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Q: 2x3 = (3xy + 1)2 Implicit Derivative with Solution and Answer

A: Given : 2x3=(3xy+1)2   To Find : Implicit derivative

Q: 3) [- y" + 3y - 4y = 20, | Given the IVP: У(0) %3D 0, у(0) %3D —5. A) Use the Laplace transform to…

A: Solving

Q: €) In VEx dx d) so sce x e Serx tumx dx

A: The objective of the question is evaluate the definite and indefinite integral.

Q: x = -1 x = 1 For what value of c is the function f (x) = continuous at x = -1? 12 –1 (x+1)(x-3)…

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Q: In two or more complete sentences, explain how to find the third term of the expansion of (2x+y)4.

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Q: 5. If sin 0 = and 0 in the first quadrant, find cos 20.

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Q: A state makes auto license plates that have two letters (excluding I, 0, and Q) followed by four…

A: A state makes auto license plates that have two letters(excluding I, 0, and Q) followed by four…

Q: What is the solution of D.E y" – 2y' = e*sinx when solved using the method of undetermined…

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Q: } Consider the initial-value Question 2 ( problem y" + 4y = 5 sin 3t, y(0) = 0, y(0) = 3. (a) Use…

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Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) =…

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Q: (c) Find marginal profit at q = 500. 10 Explain what it predicts. The total profit will increase by…

A: Apologies for the inconvenience.   #c) We have found that marginal profit at q=500 is 10.  It means…

Q: Arcsin(x/y) = 4x + 3y

A: To find out the double derivative.

Q: Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

A: We have to find the angle of the largest right circular cone which can be inscribed in a sphere of…

Q: The mean of two samples of size 50 and 100 are 54.5 and 50.3. Calculate the com bined mean of the…

A: Topic:- Basic algebra

Q: The technique used to prove that dk =- 3x + 3V3 tan" + C %3D x2 + 3 3 is O Integration by Parts O…

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Q: The solution of the Ordinary Differential Equation 4y" - y' - 3y = 0 if y(0) O and y'(0) %3| 7 - is:…

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Q: Change from spherical coordinates to rectangular coordinates $ = 6. O z2= 3(x² + y²) O z2= 3(x²…

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Q: 2. A bushfire spreads with burning area according to the following function, A(t) = 160t – 40t2 (in…

A: Let's find.

Q: For the following.problems, you need to provide a clear and detailed solution. Work Problem 1 i- :):…

A: We can solve this as follows:

Q: Use the graph shown to determine if the limit exists. If it does, find its value. lim f(x) X-1…

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Q: 5.1. Find the area enclosed by r = V cos(0). (Ignore the r= 2 cos(0) for this part of the problem.)…

A: 5.1) To find the area bounded by the curve r=cosθ

Q: Ge + C2x e* + C3 x*e*

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Q: x3 + x2 – 5x + 15 dx 5. (x2 + 5)(x² + 2x + 3)

A: Partial fraction: A complicated rational statement is decomposed into two or simpler fractions using…

Q: Q2: Determine the type of the two lines (parallel, perpendicular, intersecting, north) and give the…

A: 1  pependicular line because given that both intersect at 90 degree  2 parallel line because both…

Q: 1. Find two sets of polar coordinates for (x, y) = (-V3,1, one with r> 0 and one with r< 0, both…

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Q: The integral 2 X dx | - Vx2 – 4 3 1

A: The objective of the question is evaluate the definite integral.

Q: L,x²(x³ + 8)²dx 19. Use the Fundamental Theorem of Calculus to evaluate:

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Q: Using decomposition into partial fractions, 4x2 + 2 -dx x(x² + 2) is equal to In|x (x² + 2)| + C…

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Q: For which of the following series is the Ratio Test inconclusive? Select one: Σ Σ * (-3)* +1 n=1…

A: To find for which series the Ratio test is inconclusive.

Q: 4 about the point a = 3. (Your answers should include the variable x when appropriate.) Find the…

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Q: Use the Integral Test to determine whether the series is convergent or divergent. (If the quantity…

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Q: The maximum value of x + y + z subject to the constraint x² + y² + z² = 1 is Write in decimal form…

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Q: Find the ff value in the matrices. PART I IF P= A+B find the value of the following # 1 P1 # 4 P21 #…

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Q: Q3: Find gradient of the following function at given point 1) f(x, y) = y –x, (2,1) 2) g(x, y) = y –…

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Q: 25 Type the correct answer in each box. 37 The vector \ / Is reflected across the line Y = 1 and…

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Q: Let f(x) = log2(x) and g(x) = cosx. Give the composite fog and go f, and determine their domains.

A: The given functions are: f(x)=log2(x) &amp; g(x)=cos x