Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate that using the checkbox. +0o 3 a da =( The integral diverges

Q: Consider f(x) = 6.5x^5 - 3.7x^3 + 7x - 1.6. Using the given function, approximate f(2) by making use...

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

A: To find the relative maximum.

Q: Cosx Evaluate the Integral dx. sinx 1 + C 3sinx A B) 1 +C sinx - +C 3sinx 1 +C sinx

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Q: 4x³ (log3 x)" (csc5 x) Vsinh(2x – 8) b. y =

A: We differentiate the given function using quotient rule of Differentiation i . e .  If   y ( x  ) = ...

Q: Find the volume of the solid generated by revolving the region bounded by y = 3x, y = 0, and x= 2 ab...

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Q: Assume that the following relationship is known to be true for two angles A and B: sin A cos B - cos...

A: The given relationship,     sinA cosB-cosA sinB=0.133599

Q: the plece wises f uc tion below Find fon the L,じ,ondL asxtO of sinx = (x7f ex-1 %3D *ンo

A: Given query is to find the limit of the function at x= 0.

Q: 1. Use the Gauss-Jacobi method to obtain the solution of the following system of linear equation: 2x...

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Q: A linear function is given. Complete parts (a)-(d). g(x) = - 3x +4 (a) Determine the slope and y-int...

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Q: Evaluate: cot-128 dp. Bcor-120+-미1+4p리 + C A 8 B none of the given choices C B cor-129-m1+4p리 + C D)...

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Q: Calculate the volume of the solid produced by rotating the region enclosed by about x = y? + 2y – 1 ...

A: To find the volume.

Q: 1 1 + e6x xp

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Q: Consider the initial value problem my" + cy' + ky = F(t), y(0) = 0, y'(0) = 0 modeling the motion of...

A: To solve the initial value problem.

Q: Evaluate the integral J sin. sinh? (2x) cosh (2x) dx. sinf(2x) A +C 9. sinh(2x) +C B 8. costf(2x) + ...

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Q: Question 11 Evaluate the integral Jve'dy. A Enegative 1 half e to the power of y squared end exponen...

A: Let's find. 

Q: Find the area of the region bounded by y = -x² – 4x – 2 and y = 2x2 + 8x + 7.

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Q: V1- cosxdx COSX

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Q: bx a a dy dx

A: Our Aim is to evaluate the integral given below:-∫0a∫0bxady dx -(i)

Q: dr = Blank 1 Evaluate the Definite Integral 0. I+8x Blank 1 Add your answer

A: A detailed solution is given below

Q: Use linear approximation, i.e. the tangent line, to approximate V16.I as follows: Let f(x) = Va. Fin...

A: L(x)=f(a)+f'(a)(x-a)

Q: 7/3 x tan (x) dx 2

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Q: Adx + (x-y + 2)²dy = 0

A: As per bartleby guidelines we are supposed to answer only 1 question per post. This post contains 2 ...

Q: Determine the surface area generated when a portion of the curve in the first quadrant of y? = 1+ is...

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Q: Solve the following incqualities -21 < 4

A: To Solve : Inequality : 1x-2&lt;4

Q: Find the area between the curves y = x² + 1 and y = x + 1.

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Q: Find the coordinates of the centroid of the solid generated when region bounded by x2 + y? – 6y = 0 ...

A: The given curves are: x2+y2-4y=0 y=4-x

Q: 14 18 14) In Problems 12 through W, given f(x) and g(x ) are differentiable and continuous everywher...

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Q: A V1-Vy dy •1 y 4

A:     ∫1411-yydyLet u=1-y.=∫120-2udu=-∫012-2udu=--2·∫012udu=--223u32012=2·132=23

Q: a | t. (a² – t²)®* dt 0.5

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Q: Find the volume generated by revolving the area bounded by x? + 4x + 4y + 8 = 0 and y = -2 about the...

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Q: S (5+x>(4 - x2) dx (A 20x B 20x 20x D

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Q: Analyze and sketch a graph of the function over the given interval. Label any intercepts, relative e...

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Q: 5x² +1 dx2

A:     d2ydx2=5x2+1Substitute d2ydx2 with y'' ⇒y'' =5x2+1Integrating once we get,⇒y'=53x3+x+c1Integrati...

Q: (7x³ + 4x²)dx

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Q: Suppose that f(x) = 7x - 2 and g(x) = - 2x +7. 104 (b) Solve f(x) > 0. (d) Solve f(x) s g(x). (a) So...

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Q: A culture of a certain bacterium grows according to the law of exponential growth. If there were 130...

A: topic- exponential function

Q: Find the coordinates of the centroid of the solid generated when region bounded by x? + y? – 4y = 0 ...

A: The given curves are: x2+y2-4y=0 y=4-x

Q: Q14

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Q: Find the exact arc length of the curve over the stated interval. y = 3x/2 - 2, from x = 0 to x = 1 %...

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Q: Evaluate: " sin" () cos* () .4 CoS 2, dx .2.

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Q: Consider the following equations. f(y) = y2 g(y) = y + 2 Sketch and shade the region bounded by the ...

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: Given data and correct graph÷

Q: The number of bacteria in a culture is growing at a rate of 2500e2/5 per unit time t. Find the numbe...

A: Given db/dt= 2500 e^(2t/5)

Q: Analyze and sketch a graph of the function over the given interval. Label any intercepts, relative e...

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Q: ,5x-2 If f(x) = 2 + e%r-2 %3D then f-'(3) = %3D

A: Topic = Functions

Q: 4.) Find the derivative of the following functions a.) y = sin(x) + cos(x) b.) y = csc(x)cot(x) c.) ...

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Q: Find the area of the region bounded by y cos x, y = 1, and x =

A: Given curves are  y=cosx ,y=1 and x=π/2

Q: integral of:

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Q: 1. Find the function f(x) if f'(x) = 3x² – 2.x +5 and f(0) = 5 %3D

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Q: Question 13 Evaluate the integral J sinh? (2x)cosh(2x) dc sinh“(2x) +C A sinh(2x) +C B 9 costf(2x) +...

A: Use the derivative identity, ddx(sinh(ax))=acosh(ax) And the power rule of integration is: ∫xndx=xn+...