x' - 36 lim 6 x+6 Vx+11-4 lim x-5 lim- 2 2-x x² +6x+9

Q: 3 In x + 1 dx x (In x + In x) Evaluate A In lin?x + 1 + c Bn in°x + In x + C ©nlin³x + In x| + c D 3...

A:     ∫3ln2x+1xln3x+lnxdxLet u=ln x.=∫3u2+1u3+uduLet v=u3+u.=∫1vdvSubstituting back we get,=lnln3x+lnx...

Q: Question 1 dx The integral can be re-written as A lim (-1+2 y 1-m m - 0 B none of the choices lim (2...

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Q: 3. (2y? + 3xy -2y + 6x ) dx + x(x + 2y - 1) dy = 0 ans. x? ( y + xy-y +2x) =

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Q: 4. y = (x + C)e*; y'+y = e*

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: Given the following power series, find the radius of convergence. HINT: Determine if you want to use...

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Q: By using chain rule Find dy/dx iff- u=-1, x=-1

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Q: Question 21 sin 3x Given: dxWhat is the appropriate formula to find the integral? cos2 (3x) (4- 3 se...

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Q: Find the radius of convergence and the interval of convergence. Σ k(k + 1) k=1

A: To determine: The convergence of the power series ∑k=1∞ xkkk+1 Concept used: Ratio test: R=limn→∞an+...

Q: 1. What is (3x) ? 2. What is (x*+ x)? 3. What is (2-32)? 4. What is (6v - 3v + Sv)? 5. What is (x-1)...

A: As per the guidelines we can solve 3 parts only 

Q: Find the nth Maclaurin polynomial for the function. f(x) = eX, n= 5 Ps(x) = ||

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Q: Problem Set A (1) For the function f(x)=1- 1x+2 find the following: (i) f(-x) (ii) f(x +k)

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Q: Consider the following sequence: +00 4" {a,} = an+1 to show that the given sequence {a,} is strictly...

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Q: The diagram below shows points P, Q and R. The coordinates of the points are given by P ,Q(5, 6) and...

A: The solution is given in the next step.

Q: Determine whether the alternating series converges. 51n k (-1 k k=3 O The series diverges. O The ser...

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Q: sin 3x -dx what is the appropriate formula to find the integral? Given: cos2 (3x) (4-3 sec 3x) du (A...

A: We have to find appropriate formula to find given integral.

Q: GIVEN: Center (-4,3) and P (1,-1) CIRCLE Find the Standard Form and the General Form

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

Q: 5x? tan( 3x³) dx. fu= 3x³, then the resulting integral is f(u) du. Find A Given: 4 A none of the cho...

A: Topic:- application of integration

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = x0 and then find the nth Taylo...

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Q: Answer the question below: Given: Let h(x, y) = In(xy² + 3x). Suppose k = h(x, y), where x = a² + b*...

A: Given K=h(x,y)=ln(xy2+3x)where x=a2+b4 and y=a2b6+3a  

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) n = 4, c = 4 P(x) =

A: solution:-f(x)=1x2,     n=4,       c=4f'(x)=-2x3f''(x)=6x4f'''(x)=-24x5f4x=120x6

Q: dx (x² + 9)² 5.

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: The given series is ∑k=0∞78k+2. We have to check whether the series converges. To check converges we...

Q: The differential equation x*(x – 2)²y" + 3(x – 2)y' + y = 0, as the singular points at x = 0 and x =...

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Q: dw dw dw In each of the following, find dr' ds and Ət using the Chain Rule. 1. w = xy + yz +xz; x = ...

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Q: sin(In x) In(sin x)" Use Squeeze Theorem to evaluate lim

A: limx→ 0+sinlnxlnsinx

Q: Question 2 12x +1 dxp. (2x- 1)2 (3x + 2)² Evaluate:

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Q: Consider the integral dx . Using u-substitution, what is the appropriate u and du? -2x 3e 2t 2e

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Q: 2) A farmer wanted to plant six different crops in a rectangular field. To protect it from animals t...

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Q: Write the first five terms of the sequence, give the exact answer: +00 n+ 19 n=1 Determine whether t...

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Q: sin 3x Given: -dx What is the appropriate formula to find the integral? cos? (3x) (4-3 sec 3x) du (A...

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Q: Followings are given for f(x) function and its derivative f' (x) Sf(0) =1 f' (0) =5 |F(2)=3 f' (2) =...

A: The given problem is solved below in detail.

Q: Sow) du. #glu)- u+1 Using u-substitution, the integral reduces to a new integral evaluate the new in...

A: Topic:- integration

Q: Find an equation of the tangent line to the graph of the function at a given point. Do not use the l...

A: Slope of the tangent line of the function f(x) is the derivative of the given function . f'(x) = lim...

Q: Estimate the maximum volume of a conical pile of road salt that can be stored on an area in the shap...

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Q: Find the products AB and BA to determine whether B is the multiplicative inverse of A. -32 4-1 A = B...

A: A=-32-44  ,  B=4-11-1AB=-32-44 ×4-11 -1AB=-12+2     3-2-16+4     4-4AB=[-10  1-120]

Q: Question 12 For the following function , find the equation of f-(x) and hence show that f({=}) = f (...

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Q: 1. Consider the relation R1: R R2 such that (r1, y1)R1 (x2, y2) if and only if both points are on th...

A: We are given a relation  R1: R2  -> R2  such that any (r1, y1) , ( x2, y2) ∈ R2 are related to ea...

Q: Let (2) = /2*+1, 4-x, Without graphing, is f(x) continuous at x 2? Clearly justify your answer. x+1,...

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Q: Prove that the sum of the first n natural numbers is given by this formula: n(n + 1) 1+2 +3 +. .. +n...

A: As per our guidelines, we are supposed to answer only one question. Kindly repost other questions as...

Q: Complete the table by stating whether the equation is ordinary, partial and linear and non-linear. A...

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Q: 3. Define the function sin(2x – 2) x 3 3' - Determine if f is continuous at x = 1 and x = 3. If dis...

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Q: Write the given series: 2+4+6+8+10 in sigma notation.

A: Given problem:- Write the given series: 2+4+6+8+10 in sigma notation.

Q: ne sketch. base 120 130 140 QUESTION 6 Water is scarce in South Africa. The annual average rain fall...

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Q: Situation 1: Find the area bounded by the curve x^2 = y + 2 and the line x + y = 0 1. Using Simpson'...

A:   A=∫-21 (-x-x2+2) dxA=[2x-x22-x33]-21 A=2(1+2)-12+2-13-83 A=112 A=5.5 square units

Q: DIfterenti are (뉴) de Ipx tan x -In DIfterentiate exy te Yy 1, tnd y"

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Express the repeating decimal as a fraction. 0.2715 25 25 25...

A: The given number,    0.2715252525........

Q: The sequence

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Q: Find the value of c for which the area enclosed by the curves y = c-x and y = x-c is equal to 128. (...

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