Find the x-coordinate of the centroid of the area bounded by y (x² − 9) = 1, y = 0, x = 7, and x = 9 (Round the answer to four decimal places.)

Q: 5. Determine the minimum and maximum values for y = 250(0.90)* for 0 ≤ x ≤ 6.

A: Given data y=2500.90x   To find maxima and minima we need to find critical points by equating dydx=0…

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A: Consider given consecutive numbers are x-1, x, x+1 Given condition, The sum of three consecutive…

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A: The graph of the function y=1x2 is:

Q: Question 8 of 10, Step 1 of 1 Let h(x) = √√x + 5. Find the function given below. h(4n+ 9), n >…

A: Let hx=x+5To find the value of the function given below.h4n+9=?where n≥-72

Q: 6. Find the value of -1 I 1 = [ ²₁ [2²=2² (2² + 1²³) dy d²x + + [ ₁ [²*² (2³² + y²³) dy dz I by…

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Q: Given the graph of f (x) above, find the following limits. (a) (b) lim f(x) = x418 -6 lim f(x) = -4…

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Q: Use the graph to find the indicated limits. -10 -5 Find lim f(x) x-3 Find lim f(x) x-3+ Find lim…

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Q: 1. What is the average rate of change of the function f(x) = x² - 4x + 7 on the interval 1 ≤ x ≤ 3?

A: average rate fo change in an interval (a,b) =f(b)-f(a)b-a

Q: 1.3 domain: What is the domain of y = ln (x² - x - 6)? help (inequalities)

A: The function is  y=ln(x2-x-6)

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A: To answer the given questions using the given graph. Note that, the range of the function is:…

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Q: Solve until the 6th derivative and provide the summation notation of the taylor series. f(x) = ln 4x…

A: Explanation of the answer is as follows

Q: If 0 = sec (0) csc (0) = 1 -π, enter exact value for each function. 6 = tan (0) cot (0) = __ 0002

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Q: f(x)=√x² - 6x. Use interval notation to indicate the domain of f(x). Note: When entering interval…

A: We have to find the domain of f(x) = x2-6x4.

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Q: 1- Consider the following nonlinear 10x - 3+e-³-2³ sin(x) = 0. a) Prove that the nonlinear equation…

A: GIVEN:- 10x-3+e^(-3x)-x^3sin(x)=0

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A: Given :9y''+12y'+29y=0

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Q: where do these (encircled in red) come from?

A: I am attaching image so that you understand each and every step. Please take exact value then we get…

Q: x=-2 of f(x)=√x²-1

A: Above question is solved.

Q: 5 4 3 2 | y = f(x) 2 lim x 2- lim 1 0 1 2 3 lim x →7+ 1 Enter each answer as a whole number (like…

A: 1) Given at exactly x=4, function value is 5, Therefore f(4)=5

Q: Find dw/dt using the appropriate Chain Rule. w = x² + y² x = 3t, y = 8t (No Response) dw dt

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Q: If f(x)=√x + 10 and g(x) = 6 f(x) find g(x) F

A: To find out fxgx

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Q: 9. Prove: csc(x)-csc(x)cos² (x) = sin(x)

A: To prove: csc(x)-csc(x)cos2(x)=sin(x) Note that, sin2(x)+cos2(x)=1

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Q: For the function f whose graph is given, state the value of the given quantity, if it exists. If it…

A: Here we have to use the concept of limit.

Q: Evaluate the integral: -2 y√2y-y²dy

A: A detailed solution is given below

Q: 6. Find the value of 2-x² 2-2 I = [₁ ²2² (2² +1²) dy dx + [ ²7 ( 2² + y²) dy dz √2J-√√2-1² by…

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Q: . A rectangular pen is built with one side against a barn. If 2300 m of fencing are used for the…

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Q: Find the first five terms of the given recursively defined sequence. 2an - 1 + 6 and a₁ = 2 n- a₁ a2…

A: Given     an = 2an-1 + 6    and a1 = 2 We need to find a1, a2, a3, a4, a5

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Q: 1. Find the exact value for: a) sin (377) 2 b) cot (210⁰) c) sec (-765°)

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Q: Find the maximum and minimum values of the function y = 4 cos(0) + 11 sin(0) on the interval [0, 2x]…

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