Using Trapezoidal Rule, with n = 10, approximate the ntegral below. Give the error of approximation S™ = 2 cos xd.r

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A: We have to write the polynomial in factor form from the given graph of polynomial

Q: 1. Let f(x, y) = y³ + x³ - 2y² - 3x + 30y. (a) Find all the critical points of f. (b) Determine…

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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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A: Given the series, 18+182+183+184+185+........

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A: Using ÷ cscx=1sinx   1sin2x-8=0 1sin2x=8 sin2x=18 Now taking inverse and finding values of x we get…

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

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Q: Find the general solution of the differential equation. y(4) - y = 7t+cost. NOTE: Use C₁, C2, C3,…

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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: 3. The following is an incorrect solution to evaluating the integral of dx/(1 + 4x^2)^3/2 . Set x =…

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Q: Consider the following. (Round your answers to four decimal places.) f(x, y) = x cos(y) (a) Evaluate…

A: Calculate value of function at given points  Then calculate difference between the values of the…

Q: 2. A right circular cylindrical container with volume 167 cm³ is to be made. Use the method of…

A: According to question,Volume of cylinder = 16π cm3

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Q: Let g be the function g(x)=x²-x. Find g(-a). O None of these. O-a² + a O a² +1 O-a²-a O a² + a O…

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Q: Find the power series representation of the following function f(x) = ln(1+x)

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Q: 5x+7x-2 x² + 2 Identify the horizontal asymptotes (if any). If the graph of the function has a…

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Q: MY NOTES ASK YOUR TEACHER Consider the equation below. (If an answer does not exist, enter DNE.)…

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Q: Solve the differential equation. dr t In(t)r + r = 9tet

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Q: By definition, (f ∘ g)(x) =     . So if g(6) = 10 and f(10) = 21, then (f ∘ g)(6) =

A: Topic:- function

Q: D) 4 {= 2 + ln n [Select]

A: Use limit concept

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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.

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Q: The circle given by the equation x2+y²+ax+by+c=0 passes through the points ( (-1,7) and (5,-1).…

A: The solution is given below

Q: 24 dx (144x²+1) Evaluate S- 2

A: Here we have to find the integral.

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A: Finding f'(x)

Q: [4 - x - x² if x 5 Use a graph to determine the following limits. Enter DNE if the limit does not…

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Q: 4. Set up an iterated double integral equal to the volume of the solid in the first octant bounded…

A: Solution is given below:

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Q: Find y' in y = (x³ 3x²(x²+e) x³ +3 A. y' = B. y' = C. y' = +3)(x²+e) +7x6 In (2³ + 3) +7x6 (x³ + 3)…

A: Understanding of derivative when function is there in power of any function.

Q: Find the differential dy of the given function. (Use "dx" for dx.) y=x√√√3-x² dy =

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Q: The derivative of a function of f at x is given by provided the limit exists. f'(x) = lim h→0…

A: We can use the given definition to find the derivative as below.

Q: Use numerical or graphical evidence to determine the left and right hand limits of the fund |32 -…

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Q: H.W Graph the functions: ا رسم الدوال 1- y = Sin = X 2- y = 3 tanX 3- y = 3 + Sinx 4- y = cot 3 X 5…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution sets in interval notation…

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Q: Find the following derivatives. Express your answer in terms of the independent variables  ws and…

A: To find out ws, wt

Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution set in interval notation if…

A: To solve the given inequalities for the function f(x).

Q: n=1 3n²+5n 8-7n² Does this converge or divenge? Explain your answer

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Q: By double integration, Find the area between the line y=6-2x, the x-axis and y-axis.

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Q: Use the gradient to find the directional derivative of the function at P in the direction of Q. f(x,…

A: We know that the directional derivative of a function f(x, y) at a point P in the direction of a…

Q: (c) f(x) > 0 The solution set is (-2, 0) U (4, 00) (d) f(x) ≥ 0 The solution set is 10.01 (0,0)…

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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: Find the differential dy of the given function. y = x arcsin 3x dy = Submit Answer intel DETAILS…

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Q: trigonometric substitution 2 X (9-x² -dx

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Q: 3 4 L2 3 2 2 2 4 D-1 b 3 2 51ra- 2 3. 3c ||

A: Understanding of Cramer's Rule is required to solve this problem.