2) Σ=1 (2i – i3)

Q: Determine p'(x) if p(x) = (5x)7x and x = 4. Select the correct answer below: 2028 (51n 20) 2028 (7In…

A: Given p(x)=(5x)7x and x=4To find p(x):

Q: The first step in computing the area of regions using the limit definition is to write the given as…

A:

Q: J 2 x sin -1 xdx

A: The given integral is: I=∫x2sin-1xdx   Apply the integration by parts to solve the given integral.…

Q: 1 4. First, make a substitution and then use integration by parts to evaluate [Hint: Use the fact…

A:

Q: The distance between two moving objects whose positions are given by ( x₁, y₁ ) and ( x₂, y₂ ) is…

A:

Q: Find the general solution of the following differential equation. y" + 13y' + 42y = 0 NOTE: Use c₁…

A: The objective of the question is find the general solution of the given differential equation.

Q: 63. 100% los telborey adi The graph of g consists of a semicircle and two line segments for -4 ≤ x ≤…

A: To find the area between the given curves.

Q: Find w such that 2u + v 3w = 0. W = u = (2, 0, 0, -6), v = (-3, 5, 1, 0) 151 3'3'3' - X

A:

Q: If the vectors a and b are such that |a| |b| = -5, and a b = 10, then the angle between the two…

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Q: DETERMINE THE SLOPE OF THE TANGENT LINE TO THE CURVE y=2 – x2 at the point (3,-7)

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Q: Find two unit vectors in 2-space that make an angle of 45° with 9i + 4j. NOTE: Enter the exact…

A: Please see the below picture for detailed solution.

Q: The vectors a (4, -10,8) is perpendicular to the vector b (8,-8, -14). Select one: True False

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Q: 2. (cos x cos y cot x) dx + (- sinx sin y) dy = 0

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Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) =…

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Q: For the function f(x) = cot³ (x): • Rewrite f (x) as a composite function f(x) = g(h(x)). • How did…

A: We have to solve given Questions.

Q: 32. a) Determine the vector equation of the line of intersection of these 2 plane (1) x + 2y + 2z =…

A:

Q: PART I. Evaluate the following integrals. Show all the necessary solutions. 2x³ 1. f ²x² +5x²-4dx

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

Q: identify open interval on which the function is increasing or decreasing. f(x)=sinx+2, 0<x<2pi

A:

Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

A: We have to find the volume generated by rotating the region

Q: A parallelegram PRQS has P(-1,3), S(4,2), Q(5,-1). Find R

A:

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

A: Let's solve for taylor series.

Q: Find the following limit or state that it does not exist. lim X-2 V x-2 2x+5-3

A: Solution of given question is written in below steps.

Q: Find the general solution of the differential equation. dy dx y=0 -7y

A:

Q: Solve the initial value problem O y = 7cost + sint O y = e-cost + 7e-¹ sint ○ y = e¹¹ +7e="t ○ y =…

A: to solve the initial value problem.

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Two-thirds of Ariadne’s money together with five-sevenths of Brian’s money is equal to three-fifths…

A: given:-Person A has $2.40Person C has $11.25To calculate the person B's money.

Q: 49. Your new puppy needs a rectangular dog run outside. You have 50 feet of fencing and plan use the…

A: Answer to the question number 49 is given below.     We want to find the maximum area.

Q: Evaluate the integrals: 2x4 1. S: -dx x²-x²+x-1

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Compute dy if y=U³₁, V= dx 4x+1

A: Differential

Q: 19. Water is leaking out of an inverted conical tank at a rate of 10,000 cm³/min at the same time…

A: I am attaching image so that you understand each and every step.

Q: Consider vectors A-40+30) and B-4.02 +8.03. ▾ Part C If the direction (but not the magnitude) of B…

A:

Q: Evaluate the antiderivatives. 2x dx 5 S

A: ∫2xdx/5 ∫axdx = ax/lna here a =2

Q: Integrate the function So x² e ²x 2x both analytically and numerically. For the numerical…

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Q: The Newton forward-difference formula is used to approximate f (0.3) given the following data. 0.0…

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Q: Determine the y-coordinate of the centroid of the shaded area. Set a = 11 in., b = 28 in. Answer: y…

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Q: Question 10 of 17 > dh\ dt =2 5 The variable h is the height of the ladder's top at time t, and x is…

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Q: 2. Letf: R→R be defined by f(x) = 4x -x2. Let B be the range of f. (a) Find B. (b) Fins f-1([0, ∞…

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Q: 1. [e-2x sin 2x dx

A: As per the instruction, we will be answering only the first one. For (1),      ∫…

Q: Given f(x) below, find f'(x). Do not include "f'(x) =" in your answer. f(x) = (3x³ + 3x² - 4).x²

A: Given, f(x)=(3x3+3x2-4)x2

Q: Find two functions fand g such that h(x) = (fog)(x) and f(x) + g(x) + x. h(x)=(x-3)² ƒ(x) = ¯ and…

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Q: Find a result by using homogenous for (x³ - 3x²y)dx-(x3³ - y³)dy = 0

A: This question is based on solution of Homogeneous differential equation.

Q: 58. A. Which of the following differential equations has x² – 4y² = 8 as a solution? no gai dy dx =…

A: Derivate the given equation with respect to x.

Q: A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as…

A:

Q: 4. Evaluate the iterated integral by converting to polar coordinates. (a) f(x² + y²) dydk 0 (b)…

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Q: X. S 2x4 x³x²+x-1 - dx

A: Since multiple questions are asked I am answering first question

Q: 2.) dy 1) = x - (²2²) y = x ² ex ; x = 1, y = 0 dx P(x) = = = = Q(x) = x² ex X Standard form: dy dx…

A: Given differential equation dydx-2x y=x2 ex  ; x=1 y=0

Q: Find an equation of the line tangent to the graph of f(x) = (5x-9)(x + 6) at (2,8). The equation of…

A: F(x) = (5x -9)(x+6)  at point (2,8) here we have to find tangent equation  so tangent slope = slope…

Q: For the function f(x) = 7x³ − 2x² + 2x + 9, find f''(x). Then find f''(0) and f''(9). f''(x) =…

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Q: d= d = but if (x, y, z) lies on the plane x + 2y + z = 9, then z = -x-2y+9 x-1 x-1 X = We can…

A: Here we have to find the shortest distance.

Q: Find the points on the graph of y = (2x²+1)(x-5) 4 where the tangent line Slope is 1. 0=y= (2x²+1)…

A: We an find the point if the given function where the slope of the tangent line is 1.