X-25 (x-2) √√x²+2x Converges? Dieverges? dx AND WHY?

Q: Sketch a graph of the function sin(x-45°) + 2. Please state the range.

A: Let f(x)=sin(x-45ο) + 2

Q: Part 1 Find the binomial coefficient. 7C5 20C15   Part 2 (Use the binomial theorem to expand…

A: Binomial Theorem: a+bn=C0nan+C1nan-1b+C2nan-2b2+C3nan-3b3+......+Cnnbn. Binomial coefficient:…

Q: 6) Use the Binomial Expansion Theorem to determine the sixth term in the expansion of (x + 3y)8

A: The nth term in the binomial expansion of (x + y)n is given by Tr+1=nCrxn-ryr

Q: Evaluate the integral. (Use C for the constant of integration.) [si sin³(y) cos(y) dy

A: NOTE: Refresh your page if you can't see any equations. . use the formula:  sin2x=1-cos2x

Q: Solve the following differential equations dr² dy +7x16y=0, y(1)=3,y(1)=1

A: NOTE: Refresh your page if you can't see any equations. . The given DE is, compare this equation…

Q: Simplify the expression. ✓-25 √9 Select one: √5 3 a. O b. O c. O d. -- Wher wher 5 3 3 i

A: The expression is given by -259 To determine: The simplified expression.

Q: Find the exact length of the polar curve described by r = 6e-0 32 -π ≤ 0 ≤ 5π. on the interval 2"

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Q: Find the area of the shaded region. NO y=0 2 2 y = x^3 - 4x^2 6 8 HH 10

A: The equation of the curve is y=x3-4x2 and y=0

Q: A house was valued at $120,000 in the year 1993. The value appreciated to $145,000 by the year 2001.…

A: We have, A house was valued at $120,000 in the year 1993. The value appreciated to $145,000 by the…

Q: Find sin(8) O√3 -|~ 2 √2 2 이틀 2 TT 5T/6 7m/6 2/3 4/3 TT/2 3T/2 ○ TT/3 5/3 _TT/6 /11/6 0

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Q: Factor -3x²+36xy – 60y² : = (x+ Hint: If the leading term is negative the gcf is negative. y) (x+ y)

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Q: In Calculus you will see the symbol y'. Treat y' as a variable and solve the equation for y. 6y²y +…

A: To solve the following equation for y'. 6y2y'+30xy+6x2y'=5y2+25xyy'

Q: Calculate the Taylor polynomials T₂(x) and T3 (x) centered at x = a for f(x) = 20.sin(x), a =…

A: Here we have given a function: fx=20sinx, a=π2 So, here we need to calculate the Taylor Polynomial…

Q: 14. Differentiate. a) y= 12 10 b) y = (x + 2√√x) ex

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Q: Question 10 Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A: The given values are: m=6        and        n=1v=-4, 7

Q: 0 3 x√x² + 16 dx 2

A:

Q: Using Table 11-1, compute the amount of compound interest (in $) earned in 1 year and the annual…

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Q: If t(x) is a linear function, where t(-1) = −1, and t(3) = 4, determine the slope-intercept equation…

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Q: Find the annual percentage yield, to 3 decimal places, for an investment at a) 8.6% compounded…

A: We are required to find: The annual percentage yield for an investment at:a. 8.6% compounded…

Q: In three-space there are four possibilities for the intersection of two lines. True False

A: We have to find whether the given statement is true or false. In three-space there are four…

Q: 9. Scy³ dx - x³ dy, C is the circle x² + y² = 4 10 (1 3) v21

A: ∫Cy3dx-x3dy ,C is the circle x2+y2=4

Q: Sketch an example of a nonconstant function f(x) such that ·Sª. f(x) dx = 8

A: ∫xndx=xn+1n+1+c

Q: 10

A: total derivative of function z = f(x, y) is given as dh(x,y)=∂h∂xdx+∂h∂ydy

Q: Find the 4 th Taylor polynomial of f (2) = Ti ( z ) - N s ( 2 ). If zg= 0 COS N

A: Solving the problem

Q: One side of a triangle is increasing at a rate of 9 cm/s and a second side is decreasing at a rate…

A: One side of a triangle is increasing at a rate of 9 cm/s and a second side is  decreasing at a rate…

Q: If v(t) = -t+2 and d(0) = -3, then d(t) = - + 2t-3. false Otrue

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Q: 4 (3x² – √x) dx

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Q: 9. A = (2, a 3) and B = (-1,-2) are - perpendicular each other, a=?

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Q: x ¹ y ³ z ³ y ³ where r, the exponent of x, is: and s, the exponent of y, is: and finally t. the…

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Q: (a) f(x) = F(x, 2): then ƒ'(x) = (b) f(x) = F(4,x): then f'(x) = (c) ƒ(x) = F(x,x): then ƒ'(x) = (d)…

A: Total derivative of function z = f(x, y) is given as dz=∂z∂xdx+∂z∂ydy We are allow to solve first 3…

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

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Q: Use power series to solve the differential equation (1+2x²)y"+6xy'+2y=0

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Q: If y(t) = -² -1 and a(0) = 1, then d(t) = -2t + 1. false true

A:

Q: Does the series converge or diverge? Please justify your answer in detail, mention any tests you…

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Q: What is the area between the curves y = -²³ and O 10 -24

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Q: If the profit function for a firm is given by P(x) = -1600 + 170x-x² and limitations on space…

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Q: 75 Compute the definite integral cos³ (2x) sin² (2x)dx . 4 30 2 15 1 15 6 775 10

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Q: Find the area under the line y = 4 - 2x bounded by y = 0 and x = 0.

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Q: Represent the sum of the complex numbers −3+2i and −3−i on the complex plane. Use the Point and…

A: Given that -3+2i and -3-i To determine the sum

Q: 29. Evaluate z²zds, where S is the portion of cone 2² = x² + y² that lies between planes z = 1 and z…

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Q: Find the slope of the curve ab²e-b²=5a-16 at the point (a,b) = (0,4) da ㅇ1 11 렇 O None of the above

A: ab2eab-b2=5a-16

Q: I. Determine if the differential equations are linear or non-linear. 1. y'-(sin x)y=e* 2. y'- y² = x…

A: NOTE: Refresh your page if you can't see any equations. . The standard form of the first-order…

Q: Evaluate the integral. π/2 [" os⁹(x) sin5(x) dx

A: NOTE: Refresh your page if you can't see any equations. . use the formula  ................(1)…

Q: Find an equation of the plane passing through the three points given P = (4, 2,9), Q = (6,7, 18), R…

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Q: Use a table to find the Taylor polynomial P3 (x) for f(x) = √I-T around c = 2.

A:

Q: 15. a) Find the limit. x²-9 lim x--3x²+2x-3 b)lim √25+h-5 h

A: (a) let H=limx→-3x2-9x2+2x-3

Q: Given cos(x): 11/123 on the interval [0, 2π], what is the value of x?

A:

Q: Determine the value of the given element of the matrix. a34 A = 3 15 -7 Select one: O a. -5 O b. 24…

A: A=3-89-215-3108-72-513

Q: 7. Use the convolution theorem to find the inverse Laplace transforms of: 1 (a) F'(s) = (²+9)2 1 (b)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the area of the given region. y = sin² πx y 1.0- 10.5 y=sin² лx 0.5 1.0

A: Area below the curve is the definite integral of the curve in given limit of region