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Q: Question / Iil Use the defination of improper integray to define 1. dox 1.2 use your defination in H...

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Q: Evaluate the integral of cosh2x(sinh 2x)^2 dx

A: ∫cosh2xsinh2x2dx  

Q: Radoc-Lactuan, I. et. al Analytic Geometry C. Show that the following sets of points belong to the s...

A: topic - coordinate geometry

Q: k. Evaluete the given limib

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Q: 1. If {an} converges, then {an} converges (C). An+1 Suppose that limn→ 00 1n|= . Then E1 n2"a, conve...

A: We have to determine whether,  1. If {an}  converges, then {an2} converges. True /false? And  2. If ...

Q: Find the f and fy of f(x, y) 2x'y+ x sin y O If f(x, y) = x'y - xy, find + av O If v = sin- (2) + ta...

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Q: Use the total differential to approximate the quantity. Then use a calculator to approximate the qua...

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

Q: Determine the limit of the following 1.3) lim x--> 0 ( 1/x (1/3 - 1 / sqrt x + 9)) 1.4) lim --...

A: limx→01x13-1x+9  

Q: (a) Find the number of distinguishable permutations of the letters MISSISSIPPI. (b) In how many of t...

A: topic - permutations

Q: 2) Find the equation of the tangent plane to f(x,y) = e*y + y?e1-y at (0,1).

A: Given fx,y=exy+y2e1-y Point of Tangent x0, y0=0, 1

Q: Find the directional derivative of the function in the direction of the unit vector u = cos e i + si...

A: This question is based on del operator.

Q: (Write the answer in your own handwriting, scan and then upload the file) Q1. Prove that V = (y - z²...

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Q: Find the amount in the bank after 8 years if interest is compounded quaterly. Find the amount in the...

A: Given; P=4000 r=8% t=8

Q: dx 1+ cos x + sin x

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Q: A smooth vector field G has curlĞ (0,0, 0) = 37 – 55+ 7k. - Estimate the circulation around a circle...

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Q: 2- x*y' y + xy' = 1 3D1

A: Given:        -x2y2y'+xy3=1

Q: Solve the following initial value problem for y as a function of x dy 3+ /39 Vx² - 2- 25 = 1, x> 5, ...

A: Here we have to use the following formula 1)  ∫dxx2-25=ln x+x2-25+c2)  lnab=ln(a)-ln(b)

Q: Evaluate dw using the given information. 5x? + 4y? w = -; x= - 5, y= 3, z = 1, dx= 0.01, dy = - 0.08...

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Q: Suppose f'(x) is continuous over an interval a < x < b, and a <c< d < b. If f'(c) = - 8, then (check...

A: topic- functions and derivatives

Q: Use Simpson's Rule with n = 4 steps to estimate the integral. 3 3

A: To estimate the integral ∫025x2dx with n=4. Formula used: ∫abfxdx ≈Δ x3fx0+4fx1+2fx2+4fx3+…+4fxn-2+f...

Q: dy Find dx if y = x (log2(x* – 4x))° dy dx ||

A: Topic = Derivative

Q: a eしの-cosょ)=(xtSinle) dx X+8inle 4. Consider a cone-shaped tank that is 4 feet tall and whose rim is...

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Q: a4 a*dy= +C Ina A True B False

A: topic - indefinite integral

Q: Q4: Find the following limits if exist:-- x-1 x2-x 1) limx-1²+2x-3 2) limx-1 x²+3-2

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Q: Find the absolute maxima and minima of the function on the given domain. T(x.y) = x +xy +y- 12x +2 o...

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Q: Given that f(x) = 5x° + x³ + 2, find the derivative of f- by using dy che formula d.x 1 Check dx you...

A: To find: The derivative of inverse of f(x)=5x5+x3+2 by the formula dydx=1dxdy. Calculation: Find the...

Q: 3 Find lim s-2- \s-2 s²–4/

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Q: Eind equatons of the following x²-2y²+2²+ yz =20, [4,6-3) W the tangent plane 6 the normal line to t...

A: Solution: f(x)=x2-2y2+z2+yz-20

Q: Express the set of numbers, x, satisfying |5x – 1| – 2 < 12 as an interval. Write your answer using ...

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Q: Given a function whose graph is shown below. 3 -5 -M 1 2 3. 4 The function is continuous on (1,5). O...

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Q: Test the series below for convergence using the Ratio Test. 3" п! The limit of the ratio test simpli...

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Q: х-2 Determine lim x→2- 2-V4x-x2 Your answer

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Q: For a continuous function f(x) on the set 2 [- 5,2], the net area Tx)dx must be -5 always positive S...

A: The given question has been solved in detail

Q: An airplane is flying on a horizontal path at a height of 3500 ft, as shown in the figure below. At ...

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Q: Give what is being asked. + g(x)|dæ, if g(x)dæ = 3? What is the value of 3

A: The integral is  ∫06 13+g(x)dx and ∫06 g(x)dx=3

Q: . Find the function that is represented by the series £=0x" = 1 + x + x² + ... xn . Find the functio...

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Q: Find the equation of the tangent line to the graph of a+ y = 3 at the point (1,4). 1) y - 4 = 2(x - ...

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Q: Refer to the figure and find the volume generated by rotating the given region about the specified l...

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Q: x? 2. dx x? +9

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Q: Suppose that f(5) = 3, f'(5) = 7, g(5) = -6, and g'(5) = 1. Find the following values.

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Q: sec-dx 3 - 3 In sec – + tan- + C | 3

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Q: If fi f(x)dx = and f f(r)da = 1, then 6 f(x)dris O None of the others. O 18 O 12 O 2 O 10

A: A detailed solution is given below

Q: 1 lim x5+(2x-3)³ 3x8

A: Given limit is not on any indeterminate form. So, put x tends to infinity directly.

Q: 6t dt = 3a? %3D Select one: O True O False

A: topic - definite integral

Q: Select ALL possible answers. Which of the following is lare NOT true of the function f (x) whose gra...

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Q: the points Pi(6, 3) P2(-3,-5).

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Q: 5 5 Find the result of this equation and put it in the blank a) lim f(x)

A: Right hand limit

Q: Match each series with the test that most efficiently determines whether the series converges or div...

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Q: To evaluate Je ?" sin(e²^) cos(e²«) dx, we let u=e A True B) False

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Q: (1) limr-(n/2)-(tan x)cos x (2) lim,-o x-3(tan-x-x) (b) If у %3D 4u?-Зи + 2 %; и 3 е* + 2e2х, find d...

A: For other questions reupload according to bartleby guidelines