1) Find the volume of the solid under the surface z = 2x + y and above the region bounded by y = x° and y = x.

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Q: 12' >(- 1)"-'b. where b = n' 1=1 (n+2) 14"+3 a) Find and simplify bn+1 "q b) Test the given series…

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Q: Q1) Using numerical integration to estimate the area (r=4 )and c(4,0) with n=4 of the semicircle

A: Trapezoidal rule: One of the most significant integration rules in Calculus is the "Trapezoidal…

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A: We can find the answer as below.

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Q: Use Newton's method to approximate a root of the equation 3x' + 3x* + 2 = 0 as follows. Let r1 = 2…

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Q: Suppose that k(x) is a continuous function defined on the domain 0 sxs5 and is graphed to the right.…

A: Critical points are defined as those points where the derivative ia either zero or infinity.

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Q: Obtain the general solution unless otherwise instructed 1. arž -y = 10sin²x dx² SUMMARY OF ANSWERS…

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Q: csc? 20 cot 20 de

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Q: B- derive expressions of the height, flight time and range of a projectile in terms of the initial…

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Q: 3. Consider the curve given by y2 = 4xy +1. %3D dy A. Find dx B. Find all points on the curve where…

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Q: Question 3 - a) ji following series : Determine whether the (-1)"4"-1 32n+1n n=1 is convergent or…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: Given query is to find the antiderivative if the expression.

Q: Q2: A- The differential equation y"+2y'+y 0 has a characteristic equation with double roots, one of…

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Q: Which of the following statements is true about the function f whose derivative is f'(x) = (x –…

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Q: 5t4 dt Vto +2

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Q: 7 7 = 3, f(x)dx = 8, and g(x)dx = 5. Evaluate the following integrals. Sowar=s. 2 2 2 Sawak = -5 7…

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Q: Sè baucy) dy

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Q: 16n+3 (-1)"-1, n=1 n²+3 a) Determine whether or not the series is absolutely convergent. b)…

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Q: Use the Chain Rule to find dw/dt. w = xey/z,    x = t5,    y = 1 − t,    z = 3 + 7t

A: To find out dw/dt.

Q: The curve x + y° = 3xy was first discussed in 1638 by the French philosopher-mathematician René…

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Q: The period of y = 2 sin 4x is _____. 2 pi/2 4pi

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Q: Find the length of the curve over the given interval. Polar Equation Interval r = 2

A: The detailed solution is given below  Thank you

Q: dy Do not simplify your answers. dx IV. Find Vsec-1r sin æ 1. y = (use logarithmic differentiation)…

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Q: Evaluate the integrals in the following questions using integration by parts for In (x + x²) dx

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Q: 2. Given the points X(-3, -1, 5) and Y (4, 4, -9): A. Write the position vector OX in vector form:…

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Q: + 2x-3 Find a lim f) b lim , x) Jig. f(x) d lim rx)

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Q: x = y+ Vz? – y² O y = x cos(ln|æ|+ C) O y = = sin(ln|æ| + C) sin -In|피 3 C cos-" (2) – In|æ| =C

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Q: - If v1, v2 are 2 vectors in a vector space V such that 0 = 4v1 – 2vz. Then{v1, v2 } are linearly…

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Q: Find the equation of the tangent and the equation of the normal to the curve y = + at the point…

A: Our Aim is to find the equation of the tangent and the equation of the normalto the curve y=x+1x…

Q: Q1. Test the convergence and divergence of the following: 6. E=1 Inn (comparison test) 00 n%3D1 71…

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Q: Prove that f(a) = (z - 1)² + (x + 1) is an even function.

A: The given function,   f(x)=x-12+x+12

Q: Given the function G(x) = 3x2 + 2x -1, find the value G(a + 2). 3a 2 + 14a + 15 3a 2 + 2a + 15 5a +…

A: Given: Gx=3x2+2x-1.We need to find the value of Ga+2.

Q: 323. Evaluate: J tanV |1 – x |dx 1 + x

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Q: The differential equation (cos(x) sin(x) - xy²) dx + (y - x²y) dy = 0 can be solved by: B. exact…

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Q: 1. Obtain the general solution unless otherwise instructed -24 5. у" + 4y" +9у'+ 10у when x = y = 0,…

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Q: The total cost C (in dollars) of purchasing and maintaining a piece of equipment for x years is…

A: topic- definite integral

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Q: Evaluate the indefinite integral solve for two cases csc² 20 cot 20 de

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Q: 2 and v2 = -2 3 be -2 Work Problem 2": - - - ;): Let v1 = two vectors in R². (a) '- ; Determine…

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Q: Find the minimum and maximum values of the function y = 1613 + 24t² on [1,2] by comparing values at…

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Q: Question 19 Evaluate the integral given. c(2x)tan(2a)dx +C %3D > Next Question

A: To find out the integration.

Q: Assume that the radius r of a sphere is expanding at a rate of 60 cm/min. The volume of a sphere is…

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