Find the arc length of the curve y 1 on the interval [1, 2]. %3D 4x2

Q: x*dy + (2.xy – y² }tx = 0 Let the substitution y=2; y=vx; dy=vdx+ xdv

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Q: .A: The integral of the following function: In(sin² x) dx tan(x) ay be expressed as: A In®(sin x) + ...

A: Topic:- integration

Q: Q/ Find the domain and range of the following functions メー」 y= 2y= メ+ 3+13 メー/3 3- 1,

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Q: Initially 100 milligrams of a radioactive substance was present. After 9 hours the mass had decrease...

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it d...

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Q: 1. y'dx-(xy + y* \dy = 0 Let the substitution y=2; y= vx; dy=vdx+xdv

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Q: A. Use the principle of mathematical induction to show that the tements are true for all natural num...

A: Follow the procedure given below.

Q: Find

A: An antiderivative is a function that reverses what the derivative does. One function has many antide...

Q: A projectile is fired straight up from a platform 10ft above the ground, with an initial velocity of...

A: Topic:- application of integration

Q: A parallel, orthogonal, or neither? 3. Find the equation of the line through the point (0, 1, 4) and...

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Q: [ tam2 tam 2 sec 2 Bd ß

A: Given that: ∫5tan2β.etan2βsec22β.dβ

Q: Agree. Disagree 4. If lim f(x) = 0o, then lim f(x) does not exist. Justify:

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Q: Choose the correct graph of y = cos x, < x<: 2 1 27 -3. 3.7 -1 -2

A: y=cosx,π2&lt;x&lt;3π2

Q: On the graph of f(x) = csc x and the interval (0, 27), for what value of x does f(x) = –1? Choose al...

A: Topic:- trigonometry  

Q: How do you evaluate csc^-1(sec2)? It's an inverse function

A: We have to find the value

Q: If f is injective, while both f ◦ g and f ◦ g0 are defined, show that f ◦ g = f ◦ g0 =⇒ g = g0.

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Q: 6. Determine the value of the constant a for which the function g(x) is continuous at x = 1 x* + 5x ...

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Q: Use the Integral Test to determine whether the infinite series is convergent. 1 n + 81 n=9 Fill in t...

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Q: 1. Consider the following vector, T = (-1,1), (a) Find two unit vectors parallel to v. (b) Find a ve...

A: Given,v=-i^+j^a) Find unit vector parallel to v.We know thatv^=vvv^=-i^+j^(-1)2+12v^=-i^+j^1+1v^=-i^...

Q: y'dx-(xy + y* kty = 0 1. Let the substitution v=2; y= vx; dy = vdx+ xdv

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Q: Given a function f (x) whose graph is shown below. 3 |h -3 2 -11 2 3 -2- -3 Determine lim f (x). x-1...

A: A graph of fx is given as shown below: We have to determine limx→1-fx

Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if , 2. The function f(x, y)...

A: Topic:- calculus

Q: 2.- In the following problem, use properties of the definite integral, either definitions or theorem...

A: Follow the procedure given below  

Q: 1- メー」 メ メ+ 2- you 3- 3+13 y= メー/3

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Q: The half-life of carbon-14 is 5730 years. A frozen human mummy was discovered in a glacier. It was e...

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Q: 1. Find the area under the curve y = 9- a2 over the interval[0, 3] using right end point approximati...

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Q: Find the value of lim tanx

A: As per our guidelines we only solve question number 1 . If you want the solution of other parts kind...

Q: II. Solve for the derivatives implicitly. 5. 42'y" - 2x = a" + 4y". 6. = 1

A: Given that: 5. 4x2y7-2x=x5+4y36. xy3=1

Q: 2. x'dy+(2xy- y)dx =0 Let the substitution v=2; y= vx; dy vdx + xdv

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Q: Suppose Ris the region bounded above by the graph of f(z) = 1+ 6z – z² and below by the graph of g(z...

A: Given:     f(x) = 1+6x-x2       g(x) = 6/x

Q: Find the limit. (If the limit is infinite, enter 'o' or '-co', as appropriate. If the limit does not...

A: Given that: limx→∞(e-x+4cos6x)

Q: Substitution in the Indefinite Integral Part 1. Using the substitution: u = 10z² + 3z – 6. Re-write ...

A: Use substitution to integrate

Q: (t°, 5t, t? – 16t) for t > 0. The position function of a particle is given by F(t) Assuming that vel...

A: Position function of a particle is given by r→t=t2,5t,t2-16t for t≥0 We have to find the time and po...

Q: f(x)=10/17sqrt(6x2+2x+6) =10(6x2+2x+6)

A: The given expression is: f(x)=10176x2+2x+6=106x2+2x+6

Q: general function M(x, y) or N(x, y) so that equation is exact.

A: We will find the function (general). 

Q: Choose the correct graph of y = 3 cos 3x, 0 < x< 2 T: 1 3 27 -1 -2

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Q: f(x)=10/17sqrt(6x^2+2x+6)= 10(6x^2+2x+6)^1/17, then df/dx =

A: f(x)=106x2+2x+6117

Q: Choose the correct graph of y = tan x, - < x< ": <x< :

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Q: A// Find the derivative of y with respect to x 5) 3tan-1x + sin-1x = 4 6) y = ln- 1+ ex = la,

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Q: Let f(x)=2x2+12 and let r(x)=9x for x>0. Find a simplified formula for the composite function f(r(x)...

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Q: y''=-4cos(2x)+2sin(2x), Eliminate Arbitrary Constant

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Q: Let f(x)= -6x^4+8x^3+72x^2 a) The critical number of f are x= b) The values of x for which f has a...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: Set up and evaluate the integral that gives the volume of the solid generated by revolving the plane...

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Q: XV In(5x) We substitute u = In(5x

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Q: 9. Use the Intermediate value theorem to show that f(x) = 2x( – 3 has a zero in the interval [1,2].

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Q: x'dy+(2xy – y² )dx = 0 Let the substitution y= y=vx; dy= vdx + xdv

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Q: 4. Consider the relation 3x +4y² = 2x . You'll recognize this from precalculus as an ellipse. (a) ( ...

A: Given that: 3x2+4y2=2x

Q: (a) y = -T (b) y = 2x° + 3x (c) y = x² + 5x 7 (d) y = x(x - 1) %3D -

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Q: Evaluate the definite integrals using properties of the definite integral and the fact that 4. 4 Lfe...

A: given : ∫-52f(x)dx=-3 , ∫24f(x)dx=8 , ∫24g(x)dx=8(a) ∫-5210f(x)dx=10∫-52f(x)dx=10×(-3)=-30 ∫-5210f(x...

Q: x*dy+ (2.xy – y² }tx = 0 Let the substitution y=²; y=vx; dy=vdx+ xdv v = =

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