By completing the square, dx tegral J_2 x2+4x+5 is equal to=

Q: r(5 – 2 In |In|3x|) x In |3x| Given: dx.what is an appropriate formula? (A © -2 fu du © -Jua (B O 2 ...

A: Topic:- integration by substitution   

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A: Solution: 5sin(πx);   x0=132,  n=0,1,2,3,4  

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

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Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818... %3D

A: The given expression is 0.904818181818....

Q: Q5) A) Graph the curve Y = - 2 x (x -4)(x + 6)(x - 2) between the value of x [0, 4), then find the a...

A: The curve y=-2xx-4x+6x-2 between the value of x∈0, 4

Q: dx 3. S XVx-1

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A: We will graph the trigonometric function. 

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A: We have to find closest to the given curve from (2, 0).

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Q: 4. f(x) = e-x³/2 %3D

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Q: Evaluate using wallis formula: (4-x2)/2 dx and let x = 2sine 0.

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Q: Confirm that the integral test is applicable and use it to determine whether the series converges. 1...

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Q: ) Graph the curve Y = x (x +5)(x -3) between the value of x [-5, 3], then find the area of the finit...

A: Area under the curve =∫ab(upper curve -lower curve)dx  

Q: Q3) A) Graph the two equations and find the points in which graphs intersect x + y = 0, y= -(x – 1)?...

A: Given two equations, x+y=0 y= -(x-1)²

Q: If {an}1 is a convergent sequence, then {2a,}1 is also a convergent sequence. n=1 Select one: O True...

A: First is true and second is false. 

Q: Find the slope of the line tangent to the curve y = sin x at the point where x = 3

A: Given: y=sin5x To find: The slope of the line tangent to the curve y=sin5x at the point where x=π3

Q: (2 1). If Let vi = 1 2 2 is ,V3 V4 3 a dependence relation on (v1, v2, V3, V4) thenx = a) 17 b) 15 c...

A: Here, we have v1=111, v2=123, v3=321, v4=210. If xy-1-3 is a dependence relation on v1, v2, v3, v4, ...

Q: A rectangular lot which has an area 120sq.m will be divided into two portions such that the product ...

A: A rectangular lot which has an area 120sq.m will be divided into two portions such that the product ...

Q: 2 tan (4x – 1) – 3 cos?(4x – 1) cos (4x – 1) If we let u= 4x -1 for the integral of dx, what will be...

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Q: .3 T || f(r, e) r de dr Jo 0.

A: Solved below

Q: - x if x 1 10. Let f(x) = (a) Evaluate f(-2) and f(1). (b) Sketch the graph of f.

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Q: 10 (100*+1) dx

A: I have stated the used formulas in the solution 

Q: 2. f(x)= Vr² +x+1 %3D

A: Let's find. 

Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

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Q: x2-7 2. S dx х3-12х+16 9y+14 3. S (y-2)(y²+4) ay 4. S х3-х2+1 dx (x2+2х+2)2

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Q: 3. Find an equation of the plane passing through the points P = (5,1,1), Q = (1,1,2), R = (2,1,1)

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Q: Find the derivative of the function. f(x) = V9 - 3x2 %D f'(x) %3D

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Q: Uつ40+OLU 1ontい し いun 人 の-メS1-Xメーメを interval 3. 3. poutnd to factor p) いUtas0 -use the test -Point me...

A: Let's find.

Q: Use sigma notation to write the Maclaurin series for the function 17 In(1 + x) k =

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

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Q: Using appropriate substitution and taking a + 0, 3tan(ax) the integral S dx is equal to: cos² (ax)

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Q: (-1)"3nx" n2 – 5 Determine the interval of convergence of n=1

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Q: rve Y= x (x+5)(x-3) between the va rea of the finite region bounded by ven quantity in terms of sin ...

A: We have to find the following given conditions according to the given information

Q: 10. y'+y = 3x³ + x; y(-1) = 4 су 3 3х3 + х; у(-1) %3D4

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Q: cos 2X 80 dx csc (x) sec (X) CSC

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Q: If the têst is inconclusive, then say SO. 3* Σ k! k=1 If p = +o, enter "inty". i

A: Given query is to find series converges or diverges.

Q: 1. The sum of two positive number is 42. What are these numbers if their product is a maximum?

A: As per our guidelines we can help you in solving only first question. Rest of the problems, you have...

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Q: y y 12 12 10 8 6 4 2 21 X 2 4. 8 10 12 4 (d) Show that the slopes of the graphs of f and f are recip...

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Q: (a.) the critical numbers of f (b.) all relative extrema of f (c.) the intervals on which f is incre...

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

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Q: a) f(x) at x = 0 b) fx) 3x at x = -4 X-7

A: a) f(x)=6x at x=0b) f(x)=3xx-7 at x=-4

Q: Given the matrix 2 4 Find the Characteristic Equation and find its solutions (aka: eigenvalues). A R...

A: Solution: Let A=24-17 The eigenvalues of A are the roots of the characteristic equation A-RI=0

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

A: Taylor series of function fx at a is defined as:       fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+…=25+dd...

Q: II. find an explicit solution of the given initial value problem using separation of variables. 5. x...

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Q: Evaluate the following integral: J Sec?x -dx V1-tan2X

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