Evaluate the Integral / tanh (u) du .

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the t...

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Q: x3 2. J Sadx 2. 3.

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Q: BE F(x, y) = #ty? y I THE FIELD DEFINED IN %3D 1²+y² 1²+y? D = R? – {(0,0)}. CALCULATE $ F •d7, · d7...

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Q: (a) -r -8x – 15 5(x³ – x) > 5(x³ – r)

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Q: Find the length of the arc of the curve having the parametric equations x = t³ and y = 2t2 from t = ...

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Q: The coefficient of sin ( 2x) in the antiderivative of

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Q: *xsin-'xdx The antiderivative of is x-V1-x2 sin-!x+C A True (B) False

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Q: | sin' cos“ 4 x

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Q: 3 is convergent or 24n-2 Determine whether the series Ć diveryent. It itis convergent, find its Sumi...

A: Topic:- sequence and series

Q: dder the folowing. TX) - V 30 - tch the graph of the function. Use a praphing utlty to vertfy your g...

A: Given query is graph the function and find domain and range.

Q: Find the area of the surface generated by revolving the given curve about the y-axis. I = 5y + 5, 0 ...

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Q: xy = 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: sin2x de Evaluate:

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Q: (1- y*)dx + (x° + e*)dy where C is the boundary of the region between the circles x² + y² = 4 and x²...

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

A: Topic = Functions

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: For the demand function q= D(p)= 346-p, find the following. a) The elasticity b) The elasticity at p...

A: Given q=346-p

Q: Find the vector component of v = (4, – 1, 7) alongb = (1, 2, –2) and the vector component of v ortho...

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Q: V3 7. arctan 3.

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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 problem:- Sketch the region enclosed by the given curves. Decide whether to integrate with res...

Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. tv 6t2 + 5 dt...

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Q: Explore the effects of an elementary row operation on the determinant of a matrix. State the row ope...

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Q: Let X = [0, 1]. Consider the following claim: “For every complete binary relation on a non-empty set...

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Q: dy e. dr + 4y = x² dy = sin(x + y) dx f.

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Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs o...

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Q: Sketch the region enclosed by the given curves. y = 3/x, y = 12x, y = 12 x > 0 y y 8- 8- 6 4 2 4 8 1...

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Q: The coefficient of sin( 2x) in the antiderivative of F(x) = [ cos is Blank 1 (use fraction form not ...

A: Given that Fx=cosx26Solution ; Antiderivative of Fx=∫ FxdxFx=cosx26=cos2x23=1+cosx23=181+cosx3=181+c...

Q: Determine the surface area generated when a portion of the curve in the first quadrant of y? = 4 +x2...

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Q: x2-9x + 1, I < 9 Evaluate the following limits for h(x) = and Justify your answer. 10 x, x2 9 (i) li...

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Q: Find the moment with respect to x = 2a the area bounded by x = 2y and x2 = 4ay. %3D

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Q: Let w = xey/z, where x = t², y = 1-t, and z = 1+ 2t. Use the chain rule to find X. (Write your answe...

A: Given query is to find the derivative.

Q: Use the shell method to find the volume of the solid of revolution generated by revolving the region...

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Q: cos2t dt Evaluate the Integral (1+ sin2t) 4 A (1+ sin2t) 3+ C (1+sin2t) -3+ C 6. (1-sin2r) 3+ C 6. D...

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x, y = 0, and x = 4, abo...

A: The given problem is solved below in detail.

Q: What is the formula that would be used to calculate the trapezoid approximation of s82x dx using fiv...

A: we have to approximate the value of integral by using trapizoid rule

Q: -3 dx dy 0, y2

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Q: 4 ry sin (x? + y*)dxdy Find

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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: 7 > k(2k + 1) с. k=1 7 2 7 k3 d. 4 k=1 k е. k=1

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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: 20 -1 3. sin

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Q: Find the length of the arc of the curve having the parametric equations x = t³ and y = 2t? from t = ...

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Q: bx a a dy dx 0.

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Q: the integral expression on the left to an equal expression on the right. (cos(x)-cos(7x))dx ots Subm...

A: We will solve the integral. 

Q: Suppose you are standing at a point P = (60,40) on a hill whose shape is given by f(x, y) = 1000 – 0...

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Q: TT S sin () Evaluate: 8 cos? dx

A: We will find the value of the integral. 

Q: A potato is launched vertically upward with an initial velocity of 101 ft/s from a potato gun at the...

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Q: 2 4. sin

A: 4.  let, x=sin-122x=sin-1222x=sin-112sinx=12sinx=sinπ4

Q: Given the matrix 5 7 Find the Characteristic Equation and find its solutions (aka: eigenvalues). AR ...

A: The given matrix,9-157

Q: Given the matrix and its eigenvalues 2 3 3 2 Find the eigenvalues for this matrix, then use them to ...

A: For finding eigenvalues of Matrix A , find A-λI =0.