•π π sin y 0 X y dydx

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to ex² dx is accurate to…

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Q: Given v = 2i-j and w=3i+8j, find the angle between v and w. *** The angle between v and wis (Do not…

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Q: Find the exact coordinates of the centroid of the region bounded by y = x² and x = y³.

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Q: Write the equations in cylindrical coordinates. (a) 8x² + 8y2 - z² = 4 2 8p²- 2 = 4 (b) 9x - y + z =…

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Q: Consider the vectors u = 2i + 3j − k and v = 5i − 4j + 2k. Find the following: i) Find the sum u + v…

A: The given vectors are u=2i+3j-k, v=5i-4j+2kAs per the rules, we are supposed to answer the first…

Q: Consider the function below. x + 1 f(x) = + 1 (a) Find the exact value of the maximum of f. f(x) =…

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Q: Evaluate the improper integral x+2 0 √x²+2x dx

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Q: use the substitution to find the integral. =dx, x √9-4x² sin f

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Q: QUESTION 15 Use a calculator to find the approximate value of the expression rounded to two decimal…

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Q: Find two power series solutions of the given differential equation about the ordinary point, z = 0.…

A: (x+2)y''+xy'-y=0

Q: What is lim f(x) for the function graphed below? -2 О о 02 01 xxx O DNE 5 4 3 2 -1 -2 -3- -4 O 2 3 A…

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Q: The strength of a patient's reaction to a dose of x milligrams of a certain drug is  R(x) = 5x   8…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find a function r(t) for the line passing through the points P(0,0,0) and Q(5,8,2). Express your…

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Q: hich of the following solutions is 1000 times more acidic than baking soda, which has a pH of 9? ph=…

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Q: (b) In the year 2018, the population of Nevada was modeled by the function f(t) = 3.035(1.021).…

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Q: Compute the values of dy and Ay for the function y = e³x + 4x given x = 0 and Ax=dx = 0.03. Round…

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Q: 54 Complete the table below for the function f(x) = x²-6x-27 · You may use the empty space below for…

A: Since you are asking question with multiple subparts. We are answering only the first three subparts…

Q: S - dx 3(2x — 1)2 dx -

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Q: Suppose f(x) = (b) Find the average value of f(x) over the interval [3, 15]. Average value= 2 -4 if…

A: The given function is

Q: Identify and express the function from the graph given as a sine function 2x -7/4 -3/2 -S14 -T -3/4…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Calculate the left Riemann sum for the given function over the given interval using the given value…

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Q: Let 43^(55) + 55^(43)= 7q+r, where q and r are two integers such that 0<=q<7. Then r is equal to?

A: Let 43^(55) + 55^(43) = 7q +r, where q and r are two integers such that 0&lt;=q&lt;7. Then find the…

Q: Find any one line perpendicular to the plane given by kx - y + 6z = 7

A: The equation of the plane is kx-y+6z=7 and k=2.

Q: What are the foci of the following ellipse? 25x² - 50x+9y² - 90y=-25

A: 25x2−50x+9y2−90y=−25

Q: QUESTION 19 Use an appropriate identity to find the exact value of the expression. COS Ela J2ܢ…

A: We have to find value of Cos(π/12)

Q: Change from rectangular to spherical coordinates. (Let p > 0, 0≤ 0 ≤ 2π, and 0 ≤ ≤n.) (a) (0,5,-5)…

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Q: f(x) = x² - 2, x + 4, O true false x 3 is continuous everywhere.

A: f(x) = ( x2-2, x&lt;=3            x+4, x&gt;3

Q: Identify and express the function from the graph given as a cosine function 2π -774 -357/2 5T14 -π…

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Q: Set Up and solve a Definite integral to find the particular Solution of the following equation must…

A: Using a definite integral, we can solve the differential equation.

Q: triple integral (x + 3y) dV where E is bounded by the parabolic cylinder y = 3x² and the planes z =…

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Q: The second derivative of g is g"(x) = 6x x = 2 is a critical number of g(x).

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Q: Please show your answers to at least 4 decimal places. Find the directional derivative of the…

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Q: The table below shows the values of 2* given to 4 significant figures where appropriate. Xx 2x 0 1…

A: Given dataThe values of function are given below,x00.250.50.75111.1891.4141.6822Indefinite integral…

Q: The area of the top side of a piece of sheet metal is 8 square feet. The sheet metal is submerged…

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Q: The number N(t) of supermarkets throughout the country that are using a computerized checkout system…

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Q: (4)Evaluate the definite integral (a)(1+ si 0 1+ sin x)dx (b) (2t+cost) di (b) f( -x/2 x+ X - dx R/4…

A: Explanation of the answer is as follows

Q: Find the derivative of the function. g(u) = (5+u²)5 (7-5u²)8 g (u)

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Q: Calculate the Derivative k(u) = arc sec(u) 3u + 2

A: The given function is .The objective is to find the derivative of the given function.Derivative…

Q: 1. The number of new infections produced by an individual infected with a pathogen depends on the…

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Q: = Given that ³-7√x dx = 266 3 what is f¹-7√t dt?

A: Given that a integration and its value and we find the value of reversed integral.

Q: What is the square root of 2512 ? Give the answer in the same form as the number shown here.

A: Consider the number   2512

Q: a. Find a particular solution to the nonhomogeneous differential equation y" - 8y' + 16y = e4x. Yp =…

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Q: Write the equations in cylindrical coordinates. (a) 3x² - 4x + 3y² 4x + 3y² + z² = 1 2 1 − 3m² + 4r…

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Q: 2 sec²0 = 1 1-sine + 1 1+sine

A: Prove above question

Q: QUESTION 9 For the given functions f and g, find the requested function and state its domain.…

A: The function f and g is given by:-

Q: Brandon is on one side of a river that is 80 m wide and wants to reach a point 200 m downstream on…

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Q: Find the centroid of the region enclosed by the x-axis and the parabola y = 4-x². (,0) ○ (0,1) (,0)…

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Q: Find f'(x). f(x) f'(x) = 120x¹4 - 27x² 8x15 - 9x³ + 8 = Compare the graphs of f and f' and use them…

A: The given function is

Q: Question 1. Consider the implicit curve C given by the equation C: y²e²=3y + x². (a) Find d dy (b)…

A: Given equation

Q: Find an equation for the inverse function. Then show that the two unctions are in fact inverses…

A: Step 1:Find the value of x in terms of v(x).Step 2:Substitute x with v-1(x) and v(x) with x.How to…