Question Use the trapezoidal rule to calculate the absolute error of (5x³ + 5x) dx using 3 subintervals. Enter your answer as a whole number fraction

Q: (a) For what values of r does the function y = ex satisfy the differential equation 7y"+ 20y' - 3y =…

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Q: Find f'(x). f(x) = 9x-8 4x+9

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Q: Let y = 5x². Find the change in y, Ay when = 4 and Ax Find the differential dy when = 4 and do = =…

A: Topic = Derivative

Q: et y = f(x) = 5x² + 3x + 5 and x = g(t) = 2t + 3. Find dy = dy dt

A: Given query is to find the derivative.

Q: 1. Let f(t) represent the amount of sea level rise, in mm, above mean sea level, where t represents…

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Q: Question Evaluate the integral. So 70 Give an exact answer. If the integral is divergent, enter Ø.…

A: We will find the required integral.

Q: Given f(x)= x + 2 sinx, for what values of a does the graph of f have a horizontal tangent line?

A: See the answer below

Q: Find the volume of the solid that results when the region bounded by y = √x, y = 0 and x = 36 is…

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Q: Evaluate the following limit. If needed, enter oo for ∞ and -00 for - ∞. lim *→∞ 7x³ 6x² - 9x 25x -…

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Q: Suppose that f(x, y) = x² − xy + y² − 5x + 5y with −5 ≤ x, y ≤ 5. 1. The critical point of f(x, y)…

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Q: If f(x) = ln(x) where x = [1, 3] is rotated about the x-axis, then the area of the resulting surface…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: If y = u³ - 4 and u = 3x² + 10, find y' O 18x(3x² +10)² O 3x(6x² + 10)² O18(3x² +10)² 6x(3x² +10)² घ

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Q: Consider the ODE (a) The general solution y(t) of the corresponding homogenous ODE is Yh(t) Osin(at)…

A: NOTE: Refresh your page if you can't see any equations. . the given DE is

Q: For the function f(x) = -3 sin (x- two periods. 3π x - ³7) determine its amplitude and period, and…

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we…

Q: If tant = what is tan (t - π)? Enter the exact answer. tan (t = π) = - 囡囡

A: Concept: The formula of tan(a-b) is tana-b=tana-tanb1-tan(a)tan(b)

Q: Let y = 5√√/x. Find the change in y, Ay when x = 1 and Ax : Find the differential dy when = 1 and de…

A: Given, y=5x

Q: The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level…

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Q: If f f (x) dx = sin²(x) + C, then find the function f(x).

A: If ∫fx dx=12sin2x+C, then to find the function fx.

Q: Use the graph of g to find the value of each expression. (If an answer y (a) lim_g(x) (C) X-0 (b)…

A: As per our answering guidelines we are allowed to solve only 3 subparts. Kindly repost others. Thank…

Q: 1 F(x) e(u) Set up an integral to find the area A of the region enclosed between f(x) = 0.9x² + 2…

A: Given Data: f(x)=0.9x2+2 g(x)=2

Q: (1 point) Suppose that f(x) is a function with f(125) = 52 and f'(125) = 9. Estimate ƒ(127) f(127) =

A: See this solution in below.

Q: UP the integral representation for the volume of the solid that results when the region bounded by…

A: Please see the below picture for detailed solution.

Q: For the function f(x) two periods. Enter the exact answers. 2 cot a determine its stretching factor…

A: We can solve this as follows:

Q: A piece of wire is with a length of 5 m is cut into two pieces, and the resulting two pieces are…

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Q: P(t)= 20+13t-t^2, where t is time in hours and t=0 corresponds to 9 am. (A) use the four step…

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Q: 4 Find the derivative of f(x) = x¹ log7(x + 4.5). f'(x) =

A: Given that f(x)=x4log7(x+4.5) Differentiating with respect to x…

Q: Find the equation of the tangent line to the curve (a lemniscate) 2 (x² + y²)² = 25 (x² - y²) at the…

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Q: Find the first partial derivatives of f(x, y, z) = ~ arctan Caution: ay/bx and ay/(bx) are very…

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Q: 8. State the domain of the logarithmic function by solving a polynomial inequality. Specify the cut…

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Q: 4. Solve the system of equations using augmented matrix methods. x ₁-2x ₂ = 1 2x₁ - x₂ = 7 ==

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Q: Working in radians, find an estimate of the solution of the differential equation dy = 2y cot (x) +…

A: Given differential equation: dydx=2y cot x +ex sin2x To find the estimate of its solution at point…

Q: For the following exercises, use shells to find the volume generated by rotating the regions between…

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Q: At the beginning of an experiment, a scientist has 260 grams of radioactive goo. After 75 minutes,…

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Q: (a) Jessica is playing a role-playing game with her friends. She will roll dice to determine if her…

A: Given a) probability of unlocking the treasure chest is 920. b) The odds against choosing a blue…

Q: #7) Evaluate the function. If the value is not a rational number, round your answer to three decimal…

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Q: 1. Find the general solution of y"" — 2y" — y' + 2y = 0

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Q: Find f'(x) using the QUOTIENT RULE if f(x) = 6-x² 3+x² f'(x) =. Find f'(4). f'(4) =

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

Q: Question Determine the absolute error when using the trapezoidal rule to find ²(2x³+4x) dx using 4…

A: Given   ∫022x3+4xdx

Q: 4. Suppose that the following equation defines y as a differentiable function of x: 2√y + y = 2x.…

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Q: SET-UP the integral representation for the volume of the solid that results when the region bounded…

A: We need to set up integral.

Q: Find the derivative of f(x) = √/In(x³ - 4x-¹). Provide your answer below: f'(x) = 3x¹ +4 20₁√/ Im(…

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Q: Evaluate f"(x) when x = π/4 if f(x) = sin(x)cos(x)

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Q: Consider the function f(x) = 3 (cos - Ampliude: A = Number Enter the exact answers. For the number…

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Q: Evaluate the integral. +∞ S 3 x 2xe dx

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Q: The volume V of a fixed amount of gas varies directly as the temperature T and inversely as the…

A: Given: the volume V varies directly as the temperature T and inverselyas the pressure P.Therefore, V…

Q: Given the equation below, find 38x5 +10x⁹5y + yº 95 9 dy dx = y = = 49 dy da Now, find the equation…

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Q: Graph the trigonometric function. sec Start by drawing three consecutive asymptotes. Then plot two…

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Q: 2 Find the actual value of ²1 dx as well as an approximation subintervals. estimation? using the…

A: The given integral is ∫12 1x dx

Q: Consider the following LP CPF 1 Minimise subject to CPF 2 Determine the feasible corner point…

A: The given LPP, Minimize: 4x+7y Subject to, 5x+2y≥163x+7y≥27x≥0, y≥0 We have to find the feasible…

Q: Find f'(x). f(x) = (5x +9) 4

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