Calculate the line integral of F(x, y) = -4i + 5j along the line segment from (-3,-4) to (-5,0). HINT: If possible, find a scalar potential. [.F. F. ds =

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A: Use the method of elimination and find the value of x, y and z.

Q: 22// use the tests indicated in front of each of the series ollowing to determine if the series…

A: 1. Summation of (k+1)/(k2-1) from k=2 to infinity.  2. Summation of 1/(5k+1) from k=1 to infinity.

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

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A: According to the guidelines, we are instructed to answer 1 question or 3 sub question,the others can…

Q: >(6k – 4)(7k + 3) - k=1 Enter your answer as a number without any arithmetic symbols. Sum =

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Q: In 2000, the population of a city was 76,000. The population had grown to 111,000 by 2011. If the…

A: We have to find the year.

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Q: 1 dx x+1 1

A: Evaluate improper integral

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Q: Evaluate the definite integral. 12 dx 25 + 2x 2

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Q: Q2// Solve the following differential equation: e²y dx + 2(xe²y – y)dy = 0

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Q: Find the relative maximum and minimum values. f(x,y)=x² + y² + 12x - 2y Select the correct choice…

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Q: Given sinα=0.802 and sinβ=0.812 with both angles' terminal rays in Quadrant-I, find the following:…

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Q: Find the general solution to the differential equation y''+5y'+6y=et

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Q: f(Tn) f'(In). For the function f(x) = r- 2x 3. write Newton's formula as n 1 F(In) for solving f() =…

A: See the answer below

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Q: Select the conic section represented by the equation. 13x 2 + 5y 2 - 6x + 3y - 5 = 0 circle point…

A: We can select the conic section as below.

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Q: R'(x) = -0.1x + 40 (a) Find the daily total revenue realized from the sale of 160 units of the…

A: Given the query is to find the Indicated revenue.

Q: Find the area enclosed by the given curves a) y=x^3, y=-x, x=-1, x=1 b) y=x, y= -1/x, x=1/e, x=e

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Q: Click an item in the list or group of pictures at the bottom of the problem and, holding the button…

A: Given problem:-

Q: 5. Evaluate sin y - dy dx y

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Q: Current Attempt in Progress Describe the graph of the equation. 14 sin 9t i + 14 cos 9t j r = It is…

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

Q: 2000, the population of a city was 71,000. The population had grown to 100,000 by 2011. If the…

A: Given query is to find the population in 2026.

Q: Find all zeroes of f(x) = 4x² - A) --/1/201 B) 1 3x² - x. Check all that apply.

A: f(x)=4x4-3x2-xZeros:4x4-3x2-x=0x4x3-3x-1=0x4x3-4x2+4x2-4x+x-1=0x(4x2(x-1)+4x(x-1)+1(x-1))=0x(x-1)(4x…

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Q: Find the focus of the parabola y = x 2 - 12x. (6, -35) (6.75, -36) (6, -35.75)

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Q: solve the following equation 2sin3x+sin2x+1=0, on the interval 0<x<2pi

A: 2sin(3x)+sin(2x)+1=0Let f(x)=2sin(3x)+sin(2x)+1 , 0&lt;x&lt;2πThe graph of f(x) is shown below:

Q: Find an equation for the tangent plane to the surface given by f(x,y)=÷(4x² – 2y²) at the point…

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Q: 3. Find the equation of the final function after all the following transformations have been made on…

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Q: 5x-10 Find the area under the curve of f(x)=- 05 O-10In 2 O 5-10lm 2 0-5 from 1 to 2.

A: Solve the given

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Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

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Q: TC=575+2Q

A: ANSWER Is in next step

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Q: Let C be the parametric curve defined by x(t) = t² – t – 2, %3D |y(t) = t3 . 1 t² +t. 2 - (-2) 3…

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Q: State the inputs and outputs for arcsin (also stated as sin¹). Explain why the angles for this…

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Q: Find f. f(t) f"(t) = 2e + 3 sin t, f(0) = 0, f(π) = 0

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Q: The amount of garbe, G produced by a city with population p is given by G = per week, andp is…

A: As per our guidelines, we can help you in solving only first problem, rest of the problems you have…

Q: c) Period d) f(990°)

A: Follow the procedure given below.

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Q: The MAIN use of Newton's Method is to: OFind the roots/zeros of a function O Find the derivative of…

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Q: Find an equation of the line tangent to the curve r = sin 30 at the point where 0 = klo

A: Polar curve

Q: TOPIC: OPTIMIZATION IN DERIVATIVES Directions: Read and analyze each problem carefully and solve for…

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Q: The Cartesian equation of the straight line tangent to the plane curve given parametrically by the…

A: This question can be solved using the concept of tangent and normal under application of…