Write the scalar equation of the line given the normal vector n =[1,−1] and a point Po (-5,1)

Q: The antiderivative of the function f(æ) 6. + 8x is. -6 + 16.0x? + c -6 4.0x? + c 6 + 4.0x² + c -6 +…

A: We have to find the antiderivative of the function f(x) = 6x2 + 8x

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Q: Hello, We are in the financial math chapter. If the population of polar bears in the Beaufort Sea…

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Q: For the following population model (in billions):…

A: As we can see these three are different questions and do not depend on each other. According to the…

Q: (会 lim 4x - 1 Find a. 2x + 5 lim 3x + 5 - 6x - 8 2x lim b. Evaluate + x - 12

A: a) limx→-∞4x-12x+52b) limx→-22x-6x2+x-12+limx→∞3x+56x-8

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Q: The value C for the solution of the initial value problem f'(x) = x° - 7x + 3, given that f(0) = 0.…

A: Given the initial value problem is f'(x) = x3-7x+3;  f(0)=0

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Q: Q: Find the equation of the tangent plane to the surface:- z-Ln(xj) -x5J , atthe poit (7,4)

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Q: The height y (in feet) of a ball thrown by a child is 1 x² + 6x + 5 14 y = where x is the horizontal…

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Q: Sections 4.1, 4.2 To receive full credit on this Homework assignment you must show all your work.…

A: We have to find value of given indefinite integral.

Q: Q1: Using by part integration: e Evaluate: sin ( In x)dx? 1 Add File

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Q: 24. Find the area of the triangle having vertices at (4, 5, 6), (4. 4, 5), and (3, 5, 5).

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Q: Use the third derivative test to find the inflection point(s) (if exis 8 function f (x) = x5 - x³ +…

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Q: Write the form of the partial fraction decomposition of the rational expression. Do not solve for…

A: Given, (x-2)/(x³+4x)

Q: |(3e" + 5z" + 6 cos a + 2)dr = 3e" +a* + 6 cos a + 2r + c ez - a + cos a + 2+c 3e* + 25 + 6 sin z +…

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Q: Let f(x) За? — Зх — 1. - f(x + h) – f(x) - Expand and simplify: h

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Q: Graphing Asymptotes for a Rational Functions Two copies of the same Rational Function are shown…

A: A line x=a is said to be a vertical asymptote of a function y=f(x) iff as x tends to a, f(x) tends…

Q: Student Name:, Score: Press Esc to exit full screen Derivatives of Trigonometric Functions Find the…

A: Answer and explanation is given below...

Q: Find the most general antiderivative or indefinite integral. Use a capital letter C to denote an…

A: ∫ dx/(1-x2)sin-x lets substitute u = sin-x du/dx =1/(1-x2) du = dx/(1-x2)  ∫ du/u = lnu + C put u =…

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A: Given query is to find the period of the graph.

Q: Determine whether each improper integral converges or diverges, and find the value of each that…

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Q: Find the Maclaurin series of the function. f(x) = In (1 – 6x) %3D Choose the Maclaurin series. In (1…

A: Given:      Maclaurin Series for fx=ln1-6x   A Maclaurin series is given by fx=∑n=0∞fnan!xn   So,…

Q: Y = 4 - x2, and 2y = 4 - x2

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Q: 5) y=-4, y=x² - 4, x= 2 Axis: y = 2 Find the volume of the region that revolves around the given…

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Q: Question 14 (2) + h(x)]dr 8 1.5 -2/6 -7 -6 Blank 1:

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Q: The two planes given below intersect along line l. Determine the distance from point P (2, 3, –1) to…

A: This question can be solved using the concept of line and plane in three dimensional geometry.

Q: Use a plane transformation to evaluate ∫∫R x dA, where R is the region enclosed by x − 2y = 3, x −…

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Q: The function gives the cost to manufacture x items. C(x) = 25,000 + 50x + 800 ; x = 150 Find the…

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Q: Needed

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Q: 40 9) A skydiver jumps from a plane from 4000 meters and begins to fall at a velocity of v(t) = 60,…

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Q: 1) Determine the singular points and ordinary points of the differential equation: z (r – 5) y" +…

A: Given ODE is: x2(x-5)2y''+4sinx y'+(x2-25)y=0which can be written…

Q: Estimate the indicated derivative by any method. (Round your answer to three decimal places.) dy y =…

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Q: The antiderivative of the function f(x) 4 + 11x is + 5.5z2 + c 4 5.5x + c -4 + 22.0x2 + c -4 +5.5x2…

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Q: 8. Which of the following is the solution to the equation sin? x+ 3sin x - 4 = 0 0° 90° + 360k 90°…

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Q: Evaluate: (8t3 – 9t2 + 7)dt -

A: Topic = Integration

Q: 10. Find the average value of the function f (x) 1 = -x + Vx on the interval xe[0,8]. Graph on…

A: The average value of the function is given by;favg =1b-a ∫abf(x) dxTo plot the average function…