y = [x+ (x + ¯ sin² 3x)°]

Q: Determine whether the alternating series converges. E(- 1)* 41n k k k=3 The series converges. O The ...

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Q: 8. Let T: R? - R³ be defined by T((a, b)) = (a, a + b, a + 2b). Find range T and a basis for range T...

A: We have to find the range of T. T((a,b))=(a,a+b,a+2b)

Q: i. List and classify critical points of f as relative maxima, minima, or neither. j. Find the volume...

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Q: x2+y (c) = 17 |3D x+y2 dy answer: dx 2x(x+y²)-(x²+y) x+y2-2y(x²+y) (d) In(x² + xy + y²) = 1 -(2x+y) ...

A: We have to find dydx of given function  

Q: Consider the function f(z) on the interval 5, 8. Find the average or mean slope of the function on t...

A: Given:- Consider the function f(x) =1/x  on the interval (5, 8). Find the average or mean slope of t...

Q: 5. y" + y = sec x tan x

A: This is a question of differential equation.  Total solution of the DE is combined of complimentary ...

Q: A plane flying horizontally at an altitude of 2 mi and a speed of 550 mi/h passes directly over a ra...

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Q: Find lim f(x) r→-5

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Q: A point mass describes a path y - 3.6x2 = 0, where x and y are in meters. The velocity along the x c...

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Q: Convert the polar coordinates below to Cartesian coordinates. Give exact answers. A. If (r, 0) = (5,...

A: Cartesian coordinates of the above polar coordinates are

Q: Solve the equation. 4k 45 e = 225 If 45 e 4k %3D = 225, then k= ||N (Type an exact answer.)

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Q: Combine the sum of the two iterated integrals into a single iterated integral by converting to polar...

A: Given problem:-

Q: x-1 2. Complete the following table of values to investigate lim x-1 x+1 f(x) f(x) -1 Undefined -1 U...

A: The given limit problem is solved below.

Q: -3xdx 8. S: 2x+1

A: The given integral is; -3x/√(2x+1).

Q: 23. What is dx? 3 – e4r e2z + V3 In e2r + V3 In |e2x а. +C C. +C 2 e2x – V3 V3 /3. b. V3 +C V3 +C 2x...

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Q: (Determine if 1781 is divisible by 3, 6, 7, 8, and 9. )

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Prove that there exists exactly one prime of the form n^3 −1. First express the statement symbolica...

A: Number

Q: 9. Evaluate the definite integral,

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Q: Let f(x) = 3e−x. Let R be the region in the plane bounded by the curves y = f(x), y = 4e−3, and x = ...

A: This is a question related to definite integration. Based on the graph plotting of given region we w...

Q: 6. (- 1)"*1 n = 0 Vn + 1 n + 1 7. E (- 1)"3n – 1 2n + 1 Зп — 1 n = 1

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Q: dz 5 – 2x cos 2x dx 1 + sin 2x sec² 0 de. tan 0

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Q: 1. Find the zeros of f(x) = x³ + 4x? + 3x. x = 0, x = –3 || x = 0, x = –3, x = –1 x = 0, x = 4 %3D -...

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Q: If 8x – 19 < f(x) < x² + 4x – 15 determine lim f(x) x→2 What theorem did you use to arrive at your a...

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Q: 9. Sezw cosh w do

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

Q: Find the equation of the tangent plane to the surface 2x^2 -xz + y^2 -zy = -5 at the point (1, 3, 4)

A: First we find out partial derivative at given point and then find the equation of the tangent plane ...

Q: Which of the following integration expression can be transformed into integral of power (Choose 2) O...

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Q: Evaluate the integral f 2x (x² + 5) dx using the substitution 13 u = x +5. 2x (x² + 5)*° d =| +C

A: I =∫ 2 x (x2+5)13 dx  u = x2+5du = 2x dxI =∫ u13  du We know that,∫ xn  dx =xn+1n+1+C

Q: 3s Let H be the set of all vectors of the form Find a vector v in R³ such that H = span {i}. 4s

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Q: What is the vertical stretch or compression? What is the horizontal stretch or compression? what i...

A: Graph

Q: 2. Given the parabola f(x) = -(x+ 2)² + 4, find the x-intercept(s). x = -2, x = 4 x = 4 x = 0, x = -...

A: NOTE: Refresh your page if you can't see any equations. . to find the x-intercepts take f(x)=0

Q: Consider the following graph. y 10| 8. 6 4 (1, 3) 2 -4 -2 2 4 6 8 10 -2 (1, –2) (7, –2) -4F (a) Find...

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Q: A rectangular flower garden with an area of 42 m2 is surrounded by a grass border 1 m wide on two si...

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Q: Compute D P(1,2) in the direction of v =. Please round your answer to 4 decimal places.

A: According to company rule we can answer only first question and rest can be reposted.

Q: x = Vt y = 1+ t2 1.. Given: a) Find the domain of the parametric equation b) transform to a Cartesia...

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Q: Evaluate each of the following limits, then identify any vertical asymptotes of the function f(x) = ...

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Q: Find the points at which the following function is discontinuous. 2x2 + 4 if x 4 f(x) = { 6x2 + 2 2...

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Q: c. tan

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Q: 45. The radius of a right circular cylinder is measured as 2.5 ft, and the height is measured as 12 ...

A: This question is related to 3D geometory. Sove in step 2.

Q: Find the area of a triangle bounded by lines y=2x and x=1 by a.) single integration b.) double int...

A: Given: - The lines are, y=2x and x=1  To find: - The area of a triangle bounded by given lines. (a) ...

Q: entify the x- and y-intercepts of the graph. Verify your results algebraically. y = 27 – 3x2 -interc...

A: Topic:- function   

Q: Solve and choose the correct answer from the following options, the initial value problem dI + 12I =...

A: We have to find solution of given differential equation.

Q: y?e2x + xy³ – 1 = 0 y2+2ye2x 2e2x+3xy 6. ans. y' = %3D 10-еУ 7. хеУ + Зу — 10х — 0 ans. y' хеУ+3

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Q: A. Each week, Adriel buys cheese (C) and sausage (S) which provides him a utility of U= 6th root of ...

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Q: Lim Ex +1

A: Here we have to evaluate limx→42x+1x-2

Q: A man-made lake is going to be stocked with two types of fish. Let b represent the number of bass, a...

A: Given:   f(b,c) = 8 - 0.01b^(1/2) - 0.05c    g(b,c) = 20 - 0.01b - 0.2c^(1/3)  Point (b,c) : ( 100 ,...

Q: (1+ 3x X 1

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Q: Express the repeating decimal as a fraction. 0.1111. . .

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Q: Differentiate. sin(0) f(0) 1 + cos(0) f'(0) %3D II

A: Differentiate 

Q: to 2 decimal place accuracy Determine the range of x-values for which - x- x + e* 9.

A: We need to find range of x-values.

Q: 3. Given: r = 3 – 5 sin0 a) Sketch the curve and label 4 polar points. b) Find the slope of the tang...

A: Given polar curve r=3-5sinθSolution :b.x=rcosθ  ,y=rsinθslope of tangent ,dydx=dydθdxdθr=3-5sinθdrdθ...