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Q: es of a force funct joules 0 6 9 12 15 18 f(x) 9.6 9.1 8.5 8.3 7.8 7.5 7.2

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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: how did you get ln n - ln 2

A: Given sequence  an = (ln3-ln2)+(ln4-ln3)+(ln5-ln4) +.... We observe this series This series going to…

Q: lim cos nл| 2n-1 - 2n+2

A: Use : cos x =1-x22!+x44! + ...........

Q: Find the derivative of f(x) = (-x3 - 2x² - 2x) sin (x). Do not include "f'(x) =" in your answer.…

A: The given function is: fx=-x3-2x2-2xsinx   As we know that; The Power Law: ddxxn=nxn-1 The Product…

Q: Let y = f(x), where dy f(x) = = 3 Find the differential of the function. x³ + 3 3 X

A: Find the differential of function

Q: 2. If F and G are differentiable functions such that F'(x) = G'(x), which of the following is true…

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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 acceleration function (in m/s) and the initial velocity v(0) are given for a particle moving…

A: This question is based on application of integration.

Q: 3) What is the radian measure of the indicated angle? a) o 5 b) O 11 o 6 c) O 17T 6 d) o 23t 6

A: To determine: the radian measure of the indicated angle

Q: Find the absolute extremum, if any, for the following function. f(x) = 4x+ -7 Select the correct…

A: We have to find the absolute extremum for the function f(x)=4x4-7.

Q: 4 B 6) Find the value of cot t if cos t = a) √/3 O b) 01/12 c)0 V₂ d) 0 1 Previous Next - and T < t…

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Q: tan ³ (3x) sec" (3x) dx

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Q: Compute the definite integral T/4 5 sin² (3x) dx

A: Given, ∫0π45sin23xdx

Q: 3. Use polar coordinates to evaluate the double integral. (a) ff sin(x² + y²) d4, where R is the…

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Q: I can't seem to understand the solution. Can someone write it down?

A: An inner city revitalization zone is a rectangle that is twice as long as it is wide. A diagonal…

Q: Q3.16 the emetric. curve pour you are given. cartesian form y = f(x). Dont have decimals in your…

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Q: Find the inflation rate from 2006 to 2007. Assume that all prices have risen at the same rate as the…

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Q: 5. Consider the sets A = 0 and B = {0} and C = {1,0}. Find each of the following sets, if it is…

A: Since, you have posted question with multiparts. As per guidelines, we"ll solve only first three…

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

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Q: Find the general solution of the differential equation 49y" + 112y' + 64y = 0. NOTE: Use C₁, C₂ for…

A: We can solve as follows

Q: Evaluate the integrals: 1. √ √25-x²dx

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Q: Find the solution of the initial value problem y" + 16y = 0, y(72) = 8, y¹ (72) = -16. Sketch the…

A: Given: y''+16y=0

Q: Find the general solution of the following differential equation. y" + 15y + 56y= 0 NOTE: Use c, and…

A:

Q: The annual inventory cost C for a manufacturer is given below, where Q is the order size when the…

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

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

A: We can solve this as follows:

Q: Find the points on the surface z²2=xy+1 that are closest to the origin using LaGrange multipliers

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Q: 3. Solve Trigonometric Equation (a) 1+ sin 8 = 2 cos²0 (b) cos 0 + 1 = sin 0,0 € [0,2π) (c) √2 sin…

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Q: 5. Find the exact value of distance from the point (1, -3, -1) to the plane 2x-y+3z = -5

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Q: Use the method of reduction of order to find a second solution of the differential equation t²y" —…

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Q: Finding nth Partial Sums In Exercises 1-6, find a formula for the nth partial sum of each series and…

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Q: find the volume of the solid generated when the region R is revolved about the x-axis

A: To find the volume of the solid generated when the region R is revolved about the x‐axis.

Q: Use the derivative f'(x) = (x - 1)(x + 2)(x+4) to determine the local maxima and minima off and the…

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Q: \(\) The point (5, -1, -7) is not the center of the sphere represented by the equation x² + 10x + y²…

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Q: 4. √ √x(2x-¹ – 1)¹/² dx

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Q: 2) Σ=1 (2i – i3)

A: ∑i=1n(2i - i3 ) 2∑i=1ni - ∑i=1n i3   here we use formula  ∑i=1n i = n(n+1)/2 ∑i=1n i3 = n2(n+1)2/4…

Q: Cursive

A: Please refer to the image below

Q: The following table shows a housing index that can be used to compare housing prices in different…

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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 are 2y² + 3x² = K family of orthoganał to the when κ>0 y >0. choose your answer from the…

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Q: A candy box is made from a piece of cardboard that measures 43 by 23 inches. Squares of equal size…

A: Given:      Cardboard measures 43 by 23 inches  As we have given the size of the cardboard, so lets…

Q: Evaluate (fog)(x) and write the domain in interval notation. Write the answer in the intervals as an…

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Q: 3. Find a result by using exact for a. cos(x + y) dx + (3y2 + 2y + cos(x + y))dy = 0 2)dx

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Q: Find a particular solution of the differential equation COS X dy dx 1 +ytanx = cos x e cos x for…

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Q: 2 4-2² √√4-x²-2² z=0 x=-- -4-2² y=0 Z dydxdz ||

A: We can solve problem as follows

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: let fx= 2x^3-x^2-12x+1 find the critical numbers of fx, determine the location of the relative…

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Q: Find the Wronskian of the functions f(t) = 6et sin(t) and g(t) = et cos(t). NOTE: Your answer must…

A: Here is the solution:

Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters codes can be…

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