y = N|XW --- - 6x 1

Q: Docking a Boat A boat is pulled toward a dock by means of a rope wound on a drum that is located 3…

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Q: Determine the way in which the line [x, y, z] = [5, −9, 3] + k[1, −12, 2] intersects the plane [x,…

A: Determine the way in which the line [x, y, z] = [5, −9, 3] + k[1, −12, 2] intersects the plane [x,…

Q: 1. Evaluate the iterated integral. (a) */2 sin 8 IT 00 */2 asine (b) ² dr de 0 rcos 0 dr de 0

A: A.

Q: If 1900 square centimeters of material is available to make a box with a square base and an open…

A: In this question, we want to find the largest possible volume of the given box.

Q: 2. Write the third column of the matrix as a linear combination of the first two columns, if…

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Q: Evaluate the following function at the specified values of the independent variable andsimplify the…

A: We will put all the values in f(x)

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 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 absolute extreme values of each function on the interval. 1 F(x) = - 0.5 ≤ x ≤2 x2, =…

A: Topic:- application of derivatives

Q: 7. Given A(3,1,0), B(1,0,2) and C(5,2,−2) determine the following: a. AB b. AC- c. Are points A, B,…

A: The objective of the question is determine the distance and check the collinearity of points.

Q: 1. Given the function F(x)= 3x-7, x < 4 (x² - 2x, x ≥ 4 I. lim F(x) exists. X-4 (mumixat endorf a)…

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Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

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Q: Cursive

A: Please refer to the image below

Q: Find the indicated limit. Note that L'Hôpital's rule may not apply or may require more than one…

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Q: Most observers object to the pay gap when top CEO pay is tied to performance. a) True ) b) False

A: Given statement is - most observers object to the pay gap when top CEO pay is tied to performance

Q: Find the difference quotient and simplify. f(x) = -5x²-3x+2 The difference quotient of f(x) is

A: The difference quotient of a function f(x) is given asf(x+h)-f(x)h

Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

A: Linear differential equation of the nth order :…

Q: Find the area bounded by the curvey = x², the x-axis, and the ordinates x = 1 and x = 3. (no need to…

A: Topic = Area Question no 2 and 3 are graded questions.  Only question no 1  can be answered.

Q: UPVOTE WILL BE GIVEN! ANSWER CORRECTLY, DETAILED AND CLEAR. People are searching a wooded area for…

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Q: . Find the exact value. √x + x² 2x S² dx

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Q: The acceleration function (in m/s) and the initial velocity are given for a particle moving along a…

A: The given acceleration function:at=t+4.Also, if v is velocity function, then v0=6.The given interval…

Q: Write the parametric equations for the given vector equation: [2 [x, y, z] = [11,2,0] + t[3,0,0]

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Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. How…

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Q: Exercises: I 2, (3-x²) dx 3 (5+3x-x²) dx

A: The objective of the question is determine the Riemann sum and evaluate the definite integral.

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

A:

Q: Evaluate the given function for f(x) = x² +1 and g(x) = x - 4. a) f(4)-g(3) _ ƒ(2) b) g(-1+h)-g(-1)…

A: Solution: f(x)=x2+1 g(x)=x-4

Q: If d is a positive and not perfect square integer in [6,8]. Assume that √d = [ao; a₁, a₂, 3, 1, a5]

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Q: Use the method of reduction of order to find a second solution of the differential equation ty" +9ty…

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Q: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

A: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

Q: 47. Find the sum of the values of a and b such that f(x) = 2ax² + bx + 3 has a relative extremum at…

A:

Q: 2.) Determine whether the following series is convergent or divergent using The Limit Comparison…

A: In this question we have to find whether the series is convergent or divergent using the limit…

Q: 4. If f(x) > 0 for all x € [a, b] and a. 0 b. A (² f = A, which of the following is the value of c.…

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Q: 2-S Sin ³ x cos" x dx

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Q: e. f. dx x log10 x [x²: x² sin x dx

A:

Q: 39. A. A conical-shaped reservoir has a depth of 20 feet and a radius of 10 feet. Water is leaking…

A: This question is based on similar triangles postulate and derivatives.

Q: 1. ƒ'¸ (3 - 2x)³ dx

A:

Q: If two objects travel through space along two different curves, it is often important to know…

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: Find the equation of the tangent plane to z = ln(2x + y) at −1,3

A: Find the equation of the tangent plane to z = ln(2x + y) at −1,3

Q: 52. If A. 10 C. -2 -8 5 g(x)dx = -4 and g(x)dx=6, what is g(x)dx? 2 ¹s 1miz d -8 B. 2 D. -10 12035

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Q: One car leaves a given point and travels cast at 20mph. Another car leaves I hour later and travels…

A:

Q: Ex: Find the work done by the vector field F = (y-x²)i + (z - y²)j + (x-z²2)k Over the curve r(t) =…

A: Given: F=y-x2i+z-y2j+x-z2krt=ti+t2j+t3k

Q: Eliminate the arbitrary constants from z= (x-a)^2 + ( y- b)^2 to form the partial differential…

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Q: lim (√n²+ n-n)

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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: 5. 2x-1 4x - 1 dx

A: We can solve this as follows:

Q: Prove the statement using the ε, δ definition of a limit. limx→3 (4x − 5) = 7

A: To solve the given problem. limx→3 (4x − 5) = 7

Q: Q3) Find the average value of the function f(x)=√cos 4x+1, on [0,1 Q4) Using Numerical Integration…

A:

Q: Given the following initial value problem: dy/dt- yt²-1.1y where y(0) 1 The solution at t 0.75; Le…

A:

Q: The figure shows the chain drive of a bicycle. How far will the bicycle move if the pedals are…

A: I have explained the solution.