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Q: √x²-1 The resulting value of the definite integral x where c and d are whole numbers. What is the…

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Q: 14 Lys 9 -25+ dy = Vy

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Q: terval of convergence of the series Σ(√n+1-√n)(x+2)" is given by -3<x<-1.

A: It is convergent when  |x+2|&lt;1  -1&lt;x+2&lt;1  -3&lt;x&lt;-1

Q: Evaluate: 2 1. lim [√x²+x= √√x² + 4] ∞0++x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A train is starting at noon travels north at 40mph. Another train starting from the same point at 2…

A: Let's find speed of trains at 3 pm.

Q: Find the solution of the following initial value problem d2y/dx2 + 2 dy/dx − 3y = 12ex ,  y = 0 and…

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Q: iven that x = sin-¹-3). what is the exact value of cos(x) A 10 3 √10 B 3 2√2 3 Ⓒ ²√² D

A: Given query is to find the value of cos x.

Q: 5 3 +-6-0 dx 4 dx 3 dx 2x - 3x a.y = (C₁ + C₂ + С₂)e* + С²e²x + С¸è¯ С_e 2 5 2 2x -3x b.y = C₁ + C₂x…

A: We have to find the solution of  d5y/dx5 +d4y/dx4 - 6d3y/dx3=0 This is a homogenous 5th order…

Q: Given; S √ √ tex. dx 2 Applying rationalizing substitution, find dx in terms o 2 z dz A z²+2 z dz B…

A: Given query is to find dx in terms of z.

Q: Eliminate the parameter 1 to find a Cartesian equation for: x = t² and y = 4 + 2t. and express your…

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Q: Evaluate the integral of the following: y*+2y²-1dy;y # 0

A: Let given integral is equal to I

Q: uestion 12 The power series representation of f (x) = ln(x2 – 1) is given by A. None of the choices…

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Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

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Q: Assume the acceleration due to gravity is -32 ft/s². A ball is thrown vertically upwards from a…

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Q: The area between the curves f(x) = x², and g(x) = 1 O 1/2 sq units O 1/4 sq units 4/3 sq units 1/3…

A: Topic:- application of integration

Q: Which of the following describes the partial fraction decomposition of a rational function of the…

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Q: 5. f(x) = x²(3x + 2)³; f'(-2)

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Q: A+B+C =0

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Q: Find the area bounded by x2 = 4y + 4 and x = y 2. Using vertical element, what is the integral…

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Q: Solve for the area of the region bounded by: x^2 = 4y + 4 and x = y - 2

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Q: Sean Marley Tapulayan Active Now 1-cos 2 cos² (1) sin²() cos² (7) sin² (22) K Simplify: A B c) cos D…

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Q: termine the derivative of the following implicit function on a separate sheet paper, assuming that…

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Q: -2 What is the value of the definite integral e* dx? -4

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Q: If w= ebix-b2y-b3z, where b₁,b2, b3 are constants and b + b + b = 1. Show that 8² w 8² w 8² w dy² +…

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Q: y"+y' = 0; y(0) = 0, y '(0) = 1 cost + sint t + cost + sint B) 1- e-t t-e-t O A) O D)

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

Q: boy wishes to use 100 feet of fencing to enclose a rectangular garden. Determine the aximum possible…

A: Given query is to find maximum possible area.

Q: Find all points on the curve y = x³ + 2x² - 6x + 5 where the tangent is parallel to the line 2x + y…

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Q: Find y': e siny + el cost esinz-esiny O a. e cosy te cosT O b. eysinz-e sinzy ос e sinzte siny…

A: Given problem:- ex sin(y) +ey cos(x) =10  find:- y'

Q: Find the equation of the bisector of the acute angle formed by the lines 1+2y=3=0 and 2x+y-4=0. 0 a.…

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Q: Solve for the area of the region bounded by x² = 4y + 4 and x = y = 2

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Q: A producer has determined that the revenue generated from the production and sale of x units of a…

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Q: Find the equations of the tangent and normal to the curve √√√√y=1 at (9,4) a. Tangent: 3x - 2y = 3;…

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Q: Given the function f(x, y, z) = x ln(1 − z) + following and simplify your answers. a) | fx b) u fxz…

A: We can answer both the answer as below

Q: Using S- dx x√√x-1 Rationalizing Sfy)dy, find ffy)dy Substitution

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Q: Part II f(x)=x² A. g(x)=(x-3)² p(x)=(x-3)² +5 p(x)=(x+3)² +5 f(x)=x² f(x)=x² C. g(x)=(x-3)² D.…

A: As per bartleby policy, we can answer only 3 subparts of the question at a time. Please repost the…

Q: y"+y' = 0; y(0) = 0, y'(0) = 1 cost + sint t + cost + sint O B) 1- e-t t-e-t OA) OD)

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Q: n! n=12n! +1 A. The limit does not exist. B. None of the choices in this list. C. The series…

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Q: - Given the function f(x, y, z) = x ln(1 – z) + and simplify your answers. a) fa b) sin(x - 1) 2y…

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Q: A trough is filled with a liquid of density 8232 N/m3. The ends of the trough are equilateral…

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Q: The function f(x) = x² - 16 The function f(x) = |x|e² an inflection point at c = 0 since an…

A: Let's find inflection point  of given function.

Q: 3. f(x) = x²-1 2x+1 if'(1)

A: Solution is here

Q: Iff and g are continuous on [a,b)], then [*[f(x)\g(x)]dx = [[*f(x)dx)(√*g(x)dx) a A True B) False

A: If f and g are continuous on a,b, then ∫abfxgxdx=∫abf(x)dx∫abg(x)dx

Q: S₁² S (x+y)dx

A: the simple way integration ,frist integration with respect to x

Q: Evaluate the following double integral over the given region R. JS Ta 4 ln(y + 1) (x + 1)(y + 1) dA…

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Q: of Let f (x, y) = tanh-¹(x-y) with x=e" and y= usinh (t). Then the value of dt (u,t) =(4, In 2) is…

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Q: Not yet Simplify 3-3-1-3-2 O a. 5(3-2) O b. none of these Oc. с. 3(53-2) O d. 33-2 o e. 3³-n

A: To simplify the given expression .

Q: af find given f (x, y) = e + 2xy² - 4y at (0,3) 9 ду O-12 O-7 O 8 O 4

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Q: Determine the area bounded by the curves x³ - y = 0 and y+ 3x² − 4 = 0, using a vertical element. A…

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Q: $(2xy - x²) dx + (x+y²)dy, where C is the enclosed curve of the region boundec. The value of by y=x²…

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