dx. (xVz - 5)2 dx.

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Q: dy 2y + .2 x´ - 4 (x+2)² x² – 4 dx

A: Given:dydx+2yx2-4=(x+2)2x2-4  

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Q: _6. What is the derivative of f(x) = (5 – x²)²? а. 2(5- х2) b. 10 – 2x2 C. 4x3 – 20x d.(5 - x?)(5 - ...

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Q: 2. (cos"B- sin4 ß )?dB

A: ∫cos4β-sin4β2dβ∫(cos2β)2-(sin2β)22dβ∫(cos2β-sin2β)(cos2β+sin2β)2dβ∫(cos2β-sin2β)(1)2dβ∫cos2β2dβ     ...

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A: NOTE: Refresh your page if you can't see any equations. .

Q: A right circular cone with radius 3 cm and height 6 cm is submerged point first into a tall cylinder...

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Q: Determine whether the series converges. k=1 The series eTextbook and Media Hint Assistance Used Find...

A: Let's find. 

Q: y = Sin- (3x – 1)

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Q: Find the derivatives of the following Trigonometric Functions and Inverse Trigonometric Functions:

A: y = ex sin-1xdydx = ex ddx(sin-1x) + sin-1x ddx(ex)        = ex 11-x2 + ex sin-1x 

Q: Verify each differentiation formula d -u (a) [Arccos(u)] = dx V1-u? (b)(Arccot(u)] = d -u dx 1+u² -u...

A: As per the instruction, we will be answering the first one. For (1), For (a), arccosu' =-11-u2×u'   ...

Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 20x + 0.5x - 0.002x...

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Q: 5. Find the equation of the line tangent to the graph of f(x)= 2x' +4x² – 5x– 3 at | x = -1.

A: f(x)=2x3+4x2-5x-3diff w.r.t xf'(x) =6x2+8x-5now substitue x=-1f'(-1)=6(-1)2+8(-1)-5f'(-1)=-7slope of...

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

A: Given: I=∫-∞122x-32dx   We know that the power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫c·fxdx=c·∫fxdx

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Q: Find the equations of normal of the curve y = 2x- x'at (2, 0). a. 2x +y = 4 b. 2x - y = 2 O C. X- 2y...

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Q: Find the area bounded by y = 0.5(x- 2)² – 1 and the X-axis from x-3 to x-5. Show the sketch with are...

A:   y= 0.5(x-2)2-10 =0.5(x-2)2-11 = 0.5 (x-2)22 = (x-2)2x - 2 = ± 2x =2+2    x~ 3.414orx =2-2x ~ 0.586

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Q: If f(x) = (5x +6) find f'(x). Find f'(3).

A: topic - derivative of a function

Q: A. Complete the table of values to find the following, if they exist. (1 – 5) 2x+1 lim X2 x-3 X f(x)

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Q: b. ) Finding an interest rate: Suppose you invest J$ 150,000 in a special 5 year savings account wit...

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Q: -r. r drd0

A: We have to solve the integration                                                      ∫0∞∫0∞e-rrdrdθ

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Q: Determine whether the series converges using the limit comparison test.

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Q: (a) f(x) = x² + 7 – x, a = 4 -

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Q: (x+2)? dy 2y dx x -4 x² -4

A:    dydx+2yx2-4=x+22x2-4⇒dydx+2yx2-4=x+2x-2⇒y=∫x+2x-2dxx+2x-2x-2

Q: Question 13. What is the value of the limit ty2 lim along the path x = 0? (x.y)(0,0) x2 + y (а) —1 (...

A: Topic = Limits

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Q: Solve the differential equation by variation of parameters. у" + у %3 csc х y(x)

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Q: Calculate the integral: dx J (e² – 4)(e* + 6)

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Q: Let f(r) (3sin a + 5 cos z)tan r)tan f (x)-

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

A: If the region between the curves y=f(x) and y=g(x) and f(x)≥g(x) is rotated about the y-axis from a ...