Factor the following polynomial: 2x2 - 8x + 6 (2x + 3)(2x - 2) (2x + 3)(2x - 3) 2(x - 1)(x - 3) (2x + 1)(x - 1) (3x + 2)(3x - 2)

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A: This question can be solved using the concept of absolute maximum and absolute minimum.

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A: Disclaimer: since you have posted sub multiples parts of a question, we will solve only first three…

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A: volume of above function is π×175.19 cube unit

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Q: Q/ Evaluate the following integrals. S f sec40 tan²0 de

A: W have to find the integral.

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A: Given data:- The available budget for the cylindrical steam boiler, =1 million=1000000 The cost of…

Q: 4. Evaluate the line integral f x siny dx + y dy, where C is the arc of r(t) = ti + t²j from point…

A: Line integral

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Q: Prove, using the definitions of tanh and sech in terms of the exponential function, that 1 − tanh2…

A: Substitute the exponential function of tanhx in the equation

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Q: Which of the following is the standard form of a circle?

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Q: Question 3 Evaluate O 1. O 1, O In 2 -S₁² ₂ In 2 2 ln 2 O2ln 2 - O2 ln 2-3 3 2 1 2 314 x ln x dx.

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Q: The value of of da T 1 -da is x² Submit Question

A: Given: ∫341x2dx

Q: a. b. C. d. G++++ 3 +++++:+). 3

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Q: Find +62+7) dr 1(2²³/20 +C

A: Integration  ∫3x2+6x+7dx

Q: ● • S MTH 32 (1) Here are some trigonometric substitutions: Expression Substitution √a²-x² √a² + x²…

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Q: Find the values of a and b such that the following function f(x) = 2a cos(x + 1) - b.5x+2, if x -1,

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A: Here is the solution:

Q: Consider the parabola f(x) = -x² - 4x-7 i) Write the equation in vertex form. ii) Find the vertex…

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Q: Let y(x)=−3/x^2. Find y′(−3). Enter the exact value, i.e., no decimals

A: given  y(x)=-3x2=-3x-2

Q: Date 3. Determine if the equation is homogeneous in what degree then solve for the general /…

A: Solution

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Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

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Q: Answer the following statements true or false. 8.1 The sum of continuous functions is continuous.…

A: Here we have to state whether the statement is true or false.

Q: Let y = 5√√/T. Find the change in y, Ay when x P 3 and Ax 0.2 = Find the differential dy when x = 3…

A: Given the function y=5x

Q: Find the integrating factor μ(x) of y' + 4y - tan(x) = 0 such that μ(0) = 1. μ(x) =

A: See the details solution in below

Q: 1 cos³x -dx =

A: The given integral is 1/Cos3x.

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Q: ) (a) (b) (c) Differentiate y == the function by using rules. 1 2x - 3 y = ln(7x + 5) y = 3x³e5x

A: In this question, we need to differentiate the given functions. Please note that as per bartleby…

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Q: Which of the following describes a hyperbola? A 'u' curve An oval Two 'u' curves that are mirror…

A: A question is provided. In this question, we have four options. We have to choose one option.

Q: Find the area bounded by y = x and y = x³. 02 00 01 O 2 01 4

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Q: Let R = {(0,1), (0,2), (1,1), (1,3), (2,2), (3,0)} Find R', the transitive closure of R

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Q: J

A: Topic:- geometry      Definition :- system of equation is defined as  two or more equations that…

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Q: S 1 (x²+6x+5)3/2 dx

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Q: 10. Find function that satisfies the given conditions: f"(x)=6x³-3x+4, f'(1)=-3, f(1) = -6

A: The function satisfies the condition f''x=6x3-3x+4, f'(1)=-3, f(1)=-6 use the integration formulas,…

Q: Use the graph of y = f(x) for problems 7 and 8. 1010 lim f(x) = 1; HI-4+ lim f(x) = 1; 41144 Use the…

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Q: 7. Solve for cot NI 2 if cos(20) = |L0 5 and P(0) E QIV.

A: Given: cos2θ=-45 To find: cotθ2

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A: Find out the equation of tangent line.

Q: III. Consider the power series +∞ n(3x + 2)n n³ +4 n=1 -1. 1. Show that the series is absolutely…

A: Given power series is ∑n=1∞n(3x+2)nn3+4 When x=1, the series becomes…

Q: Set up an iterated triple integral equal to 3-x² = SV So x²+y² 3 2-√√4-x²-y² using: a. Cylindrical…

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Q: Airport B is 400 miles from airpot A at N30E. A pilot accidently flies East 200 miles per hour for…

A: To find the destination after his error.

Q: 2x log 2x dr 1 (x²+6x+5)3/2 dr

A: As we know that; The Power Rule: ∫xndx=xn+1n+1+C   1). The given integral is: I=∫2xlog2xdx Apply the…

Q: Explain the steps you would take to find the derivative of f(x) = (-)e -3x+tan(3x-5)

A: Given: f(x)=12e-3x2+tan(3x-5)

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Q: 76 6 27 6 Σ [5 (2 + (i - 1) =) * - 7 (2 + (x − 1))"] n n as a definite integral, that is provide a,…

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Q: Consider the function f(x) = 2x + 6x510x² - 4. = Enter an antiderivative of f(x). Do not enter +c as…

A: Here we have to find the integration.