Evaluate the limits analytically sin rte –1 A. lim,-→0 I COS I

Q: nd the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the form ...

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Q: O Evalunte

A: We will evaluate the double integral. 

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A: Given problem:- Find the point of intersection of the line through (1,-3, 1) and (3,-12, 6), and the...

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A: limx→πcosx2+π4+12  

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Q: 6. y' – y = e* 8. 4x'y + x*y' = sin’x %3D

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Q: Consider the following. f(x) = 3x – 6 cos(x), -2 sxs0 Use technology to estimate the absolute maximu...

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Q: My sequence has the following terms: -100, 00 3 10000 20000 7 1000000 31 - 3 J...

A: This question can be solved by applying the concept of finding general term of a sequence.

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A: topic - differentials

Q: 3 Given the function f(n) = 2n – 6n³ – 8n? - its f-intercept is its n-intercepts are Question Help: ...

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Q: DO NOT include spaces in between characters. * 7 Given y=(3x +6)| 2x– Find the value y' at x = 4

A: Given:       y=3x2+62x-14 Differentiating on both sides with respect to x.      y'=ddx3x2+62x-14 App...

Q: Suppose that the total cost (in dollars) for a product is given by C(x) = 1700 + 160 In(2x + 1) wher...

A: topic- functions and derivatives

Q: - Trigonometric Integrals "/3 sin3esec20 de

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Q: 10. The line y = 5x – 5 is tangent to the graph of f (x) = (x + k)(x² – x) at the point where x = 1....

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Q: 9. An object moves with velocity given by v(t) = 2t3 such that s = 8 when t = 0. Find the equation o...

A: Given: vt=2t3 ; s0=8   We know that, The expression for the velocity; v=dstdt And The Power rule: ∫x...

Q: 00 Suppose y = > anx" on an open interval I that contains the origin. Express the following as a n=0...

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Q: 9 (x) g' (x) g (x) g (x) 9' (4) -3 1 2 -4 2 16 Selected values of a function g and its first four de...

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Q: Find the area of the triangle with vertices P(1,3,–4), Q(0, 0,0) and

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Q: the

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Q: Find the directional derivative of the function at the given point in the direction of the vector v....

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Q: 2. f (x) - 2x2 if メくQ 2- メ if x 2 2

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Q: consider the differential equation dy/dx=sinx/y, for which the solution is y=f(x). Let f(0)=1. Which...

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Q: x + y = 5,y = 0,x = 0; about y =

A: Topic = Volume

Q: find the differential dy if y= sqrt(2x^5-3x

A: Given query is to find the differential of the expression.

Q: Find an equation of the tangent line to the hyperbola defined by x² – xy – 3 – x = -22 at the point ...

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Q: х+3if x1 6. lim x→1 f(x) f(x)

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Q: x -4 ifx<2 Determine f(2) if f(x)= {2-x if 2 <x<4. x-2 if 4 <x

A: Given,           fx=x2-4if x≤22-xif 2&lt;x≤4x-2if 4&lt;xTo find : Determine f'+2.

Q: If a region have axes of symmetry at y = x and y = -x then its centroid is at the origin. True O Fal...

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Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

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Q: logzx = 3 – log,2x 7. In(x + 2) + In x = In(x+ 12) Pgol+x0ol 6. log 3x + log 2x = log 150 %3D 8. 15(...

A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, kindly ...

Q: Given the function f(n) = 2n - 6n³ – 8n? its f-intercept is its n-intercepts are Question Help: D Vi...

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Q: Velocity If a stone is thrown down at 100 ft/s from a height of 1,400 feet, its height after t sec...

A: A stone is thrown down at 100 ft/s from a height of 1,400 feet, its height after t seconds is given ...

Q: Evaluate f ( + 3) dt

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Q: 3. Determine whether the series below converges or diverges using the test that you think is easy! 2...

A: Solved below

Q: A sphere has a volume of 36 cubic meters. The rate of change in volume is 9 cubic meters per minut...

A: Let's find. 

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A: Given: 1/2,1/3,1/4,1/5,1/6....

Q: a = - i+ i+ w = i+

A: Given query is to find the the vector form the graph.  

Q: 4) Confirm the results of the Fundamental Theorem of Linear Algebra for each of the matrices A and B...

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the i...

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Q: Find the volume of the solid enclosed by the paraboloid z = 4 + x2 + (y – 2)2 and the planes z = 1, ...

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Q: = cx + In(cos x). For what value of c is f'(T/4) = 7? C =

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Q: 3. y= 1 at point (0, -) X-3

A: To find, equation of tangent line at the given point.  

Q: find the inflection points of f(x) = (x-2)4/3

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Q: Find the following. a. da Pro b. da le 4] = %3D C. dr (5e 02] = %3D

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Q: O g(x )= ( % x + %); X so , at the point X,=O. x >0 9x - X

A: To check the continuity, we will see the limit of the function at x=0  and the function value at x=0...

Q: Evaluate the integral L(9te") i + (9e 2") j+ (4) kļat. J[(otea") i+ (9e 2) j+(4) k]at = ([ i+ +. (Ty...

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