Write an expression in factored form for the polynomial of least possible degree graphed below. 5 4 3 2 a ona w ~~ 16+ 5 a

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Q: average rates of change

A: The average rate of change  is constant for a linear function. Another way to state this is that the…

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A: You must have idea how to find limit of left and right hand of any given function.

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Q: Find the differential dy of the given function. y = In√9-x² dy =

A: Given y=ln9-x2 Formula: ddx(ln u)=u'u where u is a function of x Now consider y=ln9-x2 The given…

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Q: Using an appropriate substitution, the integral Jez-tan is equal to 2-tan sec²0 de O none of the…

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Q: if x - 5 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let f(x) =…

A: This is a basic limit problem

Q: True or false? An inner product is a scalar-valued function on the set of ordered pairs of vectors.…

A: Given question:- True or False?

Q: Use the chain rule to find the indicated partial derivatives. z = x² + x²y₁ x = s + 2t - u, y = stu²…

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Q: Evaluate using integration by parts o a) (In 3x dx

A: As per the rules of the company we can only the first question and rest others can be reposted.

Q: Determine whether the following series converges or diverges: 2. 1. +00 Σ n=1 1 + sin2n] 10n +00 ΣΕ…

A: We need to determine whether the given series converges or diverges

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Q: Consider the following differential equation to be solved by variation of parameters. 4y" - y = x/2…

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Q: Integrate √2 2 | sin x 2 √1-x² dx

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Q: 6. Use the difference quotient to estimate the 2 instantaneous rate of change in f(x) = x² at x=3…

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Q: Consider the following. f(x, y) = 5x - 4y (a) Evaluate f(9, 1) and f(9.1, 1.05) and calculate Az.…

A: Given function,fx, y = 5x -4y

Q: W -5 -4 -3 -2 -1 3 2 1 2 13 4 5 The function graphed above is: Increasing on the interval(s)…

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Q: 80 mm 40 mm 40 mm 10 mm 30 mm of the beam's cross-sectional area. X 20 mm

A: The solution is given below

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Q: Use a power series to approximate the definite integral, I, to six decimal places. 0.1 60⁰ I I = 1 1…

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Q: 7. Two part question: a. Determine the equation for the slope of the secant line between the point…

A: The given problem is solved below in detail.

Q: The lengths of a shadow cast by a vertical gnomon (a device used to tell time) of heighth when the…

A: You must have idea about basics of trigonometry and calculus to find these required values.

Q: Find the Laplace of f(t)= (t-2) (t+2)e-3t

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 5. fsin²xcos xdx

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Q: Determine whether the series +∞0 [[CDS-¹ (-)-CO₁¹ (1) Σ|cos -1 -1 n=1 converges or diverges. If the…

A: This is a problem related to series and sum calculation. Please find the procedure given below.

Q: Find the solution of the given initial value problem. 3y"+27y810y = 0; y(0) = 11, y'(0) = 57, y"(0)…

A: Given :3y'''+27y'-810y=0

Q: Find the solution of the given initial value problem: y(4) + 2y""+y" + 8y′ − 12y = 6 sin(t) + 80e¯t;…

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Q: ГО 1 2 1 1 3 2 1 2 3 3 1 0 0 0 3 3] Ld -d -а b C 3 2 4 5

A: Given: Matrix data is given

Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

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Q: Use the Monotone Convergence Theorem to show that the sequence n! +∞o (1 · 3 · 5 ··· (2n − 1)) n = 1…

A: l

Q: The profit P for a company is P = 100xe-x/650,where x is sales. Approximate, using differentials,…

A: The given problem is solved below in detail.

Q: ! Using an appropriate substitution, the integral dx 36-(2x + 2)² is equal to sin-¹(x + 1) + C the…

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Q: Find the radius of convergence, K, of the series. 8 Σ n = 1 R = 10 (x - 10)" Find the interval, I,…

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Q: if - 6 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let f(x) =…

A: The Solution is given below

Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the…

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Q: Find the angle between the vectors in radians and in degrees. u = 8i + 3j + k v = 3i - 8j (a)…

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Q: A rectangular page is to contain 89 square inches of print. The margins on each side are 1 inch.…

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Q: Consider the following. u = -9i2j4k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find the…

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Q: Find the component form of u + v given the lengths of u andy and the angles that u and v make with…

A: We can solve this as follows:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √ 1 + 3x, 3…

A: The expression for the area of the surface revolution of y=fx about the x-axis on the interval a≤x≤b…

Q: Consider the following differential equation to be solved by variation of parameters. 4y" - y = ex/2…

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Q: sin x +∞0 Σ n=0 (-1)" (2n + 1)! px?nts] for all x € R

A: Ans: 0.099999983 Solution is attached below.

Q: Evaluate the limit: lim (6x47x)= I→ 2 =

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Q: 3. Using multiple linear regression, estimate the values of a, b and c in the given regression…

A: given that        X            1            2              3            4          Y…

Q: Find the solution of the given initial value problem. 3y"" +27y810y = 0; y(0) = 11, y'(0) = 57,…

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Q: Solve the differential equation. df ds 85+9 (45²+95 +2)²

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Q: Evaluate the limit: lim h→0 (−5+h)² - 25 h

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Q: 3. Find the slope of the tangent at x = 1 for y = ln(2x + 3) a) 2 b) = d) In(5)

A: As per Bartleby guidelines rule I am answering only first question as both question are different…