A triangle is measured and two adjacent sides are found to be 3 inches and 4 inches long, with an included angle of 7/4. The possible errors in measurement are 1/14 inch for the sides and 0.05 radian for the angle. Approximate the maximum possible error computation of the area. (Round your answer to two decimal places.) (No Response) in2

Q: 1.) Use the arc length formula to find the length of the curve y = 3x + 2 on the interval 0 ≤ x ≤ 3.

A: Given data  y=3x+2 Interval ÷ 0≤x≤3 Formula for arc length is given by  L=∫ab1+dydx2dx

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

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

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A: Given that , Radius of circle r=20 angle θ=160° find the coordinates of a point.

Q: Using an appropriate substitution, the integral cos cos (ln(2x)) X is equal to dx - — cos(ln(2x)) +…

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

A: Calculate the profit at these two points then do the further process.

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Q: Find the radius of convergence, R, of the series. x4n n=2n(ln(n))² R = 8 Find the interval, I, of…

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Q: waluate the following integral. 2 3x dx (16+x²)²

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Q: Solve 2 sin² (x) - 3 sin(x) + 1 = 0 for all solutions 0 < x < 2π x= Give your answers as a list…

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Q: For the graph below, identify a restricted domain for which the function has an inverse that is also…

A: NOTE: Refresh your page if you can't see any equations. . the given graph is  the x-coordinate of…

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.

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Q: Find the gradient of the function at the given point. g(x, y) = 9xex/x, (17, 0) Vg(17, 0) = (No…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Understanding of critical point and inflection point is required in order to understand these kind…

Q: 4) lim (1 + sin 4x)¹/x x→0+

A: Given limx→x+1+sin(4x)1x

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Q: Starting at the same location, Jack is running Northwards at 2ft/s while Kim is running Westwards at…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram j and i - 14j as adjacent…

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Q: Find the general solution of the differential equation. y (4) + 4y" + 4y = 0. NOTE: Use C₁, C2, C3,…

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Q: 1.3 Let f(x) = Use interval notation to indicate the domain of f(x). Note: You should enter your…

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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

Q: Use the First Derivative Test to find the location of all local extrema for the function given…

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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: 3 S4e³ lnx dx

A: This question is related to Indefinite integration, we will solve it using given information.

Q: Suppose f is a differentiable function with f(1) = 1 and f'() = -1. Let y = f(x). tanx + ex. cosx.…

A: According to question,Given Function,y = fx.tan x + ex.cos xfπ = 1andf'π =- 1

Q: It is known that sin x = +∞0 (-1)" Σ|zn+1)! (2n + 1)! n=0 1. Find the Maclaurin series for x…

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

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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 4r dr √1-4

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 1.12 Evaluate the limit, if it exists. If not, enter "n" below. x²+x-6 x - 2 lim I-2

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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: Give the domain and range for the given relation and decide whether or not the relation is a…

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Q: 3. Compare the average rate of change on the interval 0 ≤ x ≤ 4 for the two functions whose graphs…

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Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =…

A: Find complementary solution  Then find wronskian of the functions which are solution of homogeneous…

Q: J 2 On the first day of a zombie outbreak, there are five zombies. A scientist wants to look at how…

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Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium 100 has been reduced…

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Q: Consider the following equations. f(x) = x5 + 3 g(x) = x + 3

A: Here we have to plot a graph.

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. NOTE: Enter the exact…

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Q: Graph the function. g(x) = 8 x²-16 Plot at least two points to the left and right of each vertical…

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Q: or the graph below, identify a restricted domain for which the function has an -2 YA 8- 2- 0 -2- 2 6…

A: Topic:- calculus    Definition :-  The domain of a function f(x) is the set of all values for which…

Q: Find the general solution of the differential equation y(4) - 4y" = t² + et.

A: Given :y4-4y''=t2+et

Q: Q.7 Find the eigen vectors of the matrix: 1-(1 2) Your answer Q.8 Find the maximum and minimum…

A: As per the request of the student , (7) The matrix is given as , A=5412

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

Q: Given y(4) — 6y"″ – 36y″ + 216y' = t² − 5 + tsint, determine a suitable form for Y(t) if the method…

A: To find the suitable form of yt by method of undetermined coefficients of the differential equation…

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: Using tabular integration, the integral In 2 S™ (-2x + 1)e²x dx is equal to

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Q: Use the information to evaluate and compare Ay and dy. (Round your answers to four decimal places.)…

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