Find the points on the curve y= (x-1)(x -4) where the tangent line is parallel to y= -4x, O (3, 10) and (1, O) and (0, 4) O (2, 0) and (-2, 0) O(-1, 6) and (4, 36)

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Q: Find f. f"(x) = -2 + 24x – 12x², f(0) = 6, f'(0) = 16 %D %3D f(x) = –x4 + 4x° 3 x + 16x + 6 %3D

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A: topic - application of derivatives

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A: We need to find volume.

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A: Given:         r = 2 cos θ        0 &lt;  θ &lt; π

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Q: A. LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS 6. (D5 – 16D³)y = 0 7. (D² – 2D + 5)y = 0

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Q: [AAN3] Find the equation of a hyperbola that has foci at (3,9), (-3,-7) and vertices (-3,-4),(-3,6).

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A: We have to find derivative of given function.

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Q: nd the derivative/s of the given item. Final answer should Find if yvx- 8 = xy + 2 %3D dx

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Q: 1. S(5x4 + 2x – 1)dx

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Q: Question 2:- Applying the properties of logarithms to simplify expressions a. logs 8 + logs 1 b.…

A: This can be done as follows:

Q: Given: S 10xe", 2а3 + За2 — 12а, х >0 x < 0 f(x) = + За? — 12х, х a. Find all the critical numbers…

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Q: Use a geometric series to represent each of the following functions as a power series about x 0.…

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Q: 24. y' + y = -x/y

A: We have to find the solution of the given differential equation.   According to our guidelines we…

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A: The given series,          ∑n=1∞3-n4n34

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Q: +oo Consider the power series 22n (2x – 1)". n=1 Determine the radius and interval of convergence of…

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Q: Determine whether the following series is convergent or divergent (-1)"3n² 4n2 –1 (b) n=1

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Q: Integral

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A: Given the series is ∑n=1∞ 22nn2+132x-1n

Q: x+y Q3) Evaluate triple integral S dz dx dy. x-y

A: To evaluate the triple integral ∫02∫0y∫x-yx+ydz dx dy.

Q: Let a = ci + jand b = 7i + 49j. Find c so that a and b are orthogonal. C = i

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Q: Show that the lines L1 : x = 5 – t, y = 2t, z = 1+t and L2 : x = 1+ 2t, y = 3 – 4t, z = 5 – 2t are…

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Q: z = If X – y show that: =D0

A: Given: z=xyx-y And x2∂2z∂x2-y2∂2z∂y2=0   As we know that; The Quotient rule; fg'=f'·g-g'·fg2 The…

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A: Solve the following

Q: Find all values of x and y such that Py(x,y) = 0 and Py(x,y) = 0 simultaneously. P(x.y) = 2x2 - 4xy…

A: Topic = Derivative

Q: (-1)" Given: power series > (x + 1)" 2n2 +5 n=1 Find the interval of convergence of the power…

A: To find the radius of convergence we will find first limn→∞an+1anthen equate it to less than 1

Q: Is this series convergent or divergent?

A: This question can be solved using the concept of root test.

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Q: (-1)" V2n2 + 5 Given: power series > (x + 1)" n=1 ii. Find the interval of convergence of the power…

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Q: Solve for "z" 7x + 3y + 8z = 10 -8x + 1y - 5z = 18 1x - 8y + 2z = 16 Round answer to 2 decimal…

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Q: 18. Find the shaded area in the following figure. Assume that there are infinitely many squares and…

A: Area of Infinite shaded region Let Sk be the sum of area of each shaded regionthen…

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Q: Which of the following is the general solution of the separable equation, dy/dx = 12x³y? A. y =…

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Q: x² +2 dx (x – 2)(x² – 2x + 2) 1. -

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Q: Consider the tollowing Maclaurin series: (-1)"x²n (2n)! CoS X = for all x E R. 1. Let f(x) =…

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A: We have to determine and sketch the domain of the function.

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Q: pln e" sec? e" dx In 플 Find (a).

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