Find all exact solutions on the interval 0 < x < 360°. If there is more than one answer, enter them as a comma separated list. tan(x) = -1 I = help (angles)

Q: 5. Solve y"" - 6y" + 11y' - 6y = 0

A: The given differential equation is

Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: To find a formula for the general term  of the following sequence.

Q: h. f(v) = sin v y cos x + xπ f(t) = et i. j. k. y = ln x 1. m. y = y = 5 cos x + 8 ln x + 3x³…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: List the first five terms of the sequence. a1 = 5, 2n + 1 2an +4 а1 а2 аз ад a5

A: To list the first five terms of the following sequence.

Q: 12T 4. Evaluate in Cylindrical Coordinates D bounded by z= x² + y² and the plane z = 4 ff zdxdydz

A:

Q: Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.)…

A:

Q: 1 7. Ση=0 (2n+1)!

A: The given series is

Q: Suppose that we're making and selling some widget and the profit (in dollars) when making a widgets…

A:

Q: d. y = 2x+1 x²-4 5x+1 e. y = 2√x-1 f. y = sin x ln x-1 x²+1/

A: To find the derivative of the following functions.

Q: Suppose that we're making and selling some widget and the revenue (in dollars) when making a widgets…

A: The objective of this question is to find the average revenue, marginal average revenue functions,…

Q: Evaluate the following limits algebraically. 1. lim x---> -3         {-2x + 4; x -3 2. lim x--->…

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Q: 2. Evaluate the integrals. a. b. C. L (6x - e²) dx [²₁12 +2 (2 + 2y)² dy 7T/4 3 3 sec Ꮎ tan Ꮎ ᏧᎾ

A: .

Q: Find the degree 3 Taylor polynomial T3 (x) of the function f(x) = (7x - 1) 4/3 at a = 4. T3(x) =

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Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and…

A: Here

Q: 49. Show that if x > 1, then ln x ≤ x − 1.

A:

Q: In the following exercises, use a change of variables to evaluate the definite integral. 2 294. ² t…

A: By changing the variables, to evaluate the following definite integral.

Q: 15. A hot-air balloon is rising straight up at 5 ft/sec. An observation area is located 80 feet from…

A: Hsnsnsn

Q: Find the Derivative and the Line Tangent to a Curve at a Point. 2 (-2x - 3)² Given that R(x) R'(x)…

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Q: 3 [³ ex dx = e³-e, use this result to evaluate Given that 3 [²70 7ex +4 dx.

A: Given,.Let assume,

Q: 8. p-series below: (a) n=1 Use this fact to find the sum of each series below. (You may express your…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: S(3x+1) (3x²+2x+1)³dx

A: I=∫(3x+1)(3x2+2x+1)3dxSubstitute 3x2+2x+1=u

Q: Evaluate the following limits algebraically. 1. lim x--> - infinity   2x^2 / (x^3 + 5x)

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

A: Consider the given marginal-demand function,

Q: 3. •x Soff x² sinzdzdydx Ᏻ

A: Use the Power Rule:Use the Constant Coefficient Rule:Use the common integrals:

Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

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Q: 9. The graph of y = 4x² - 5x is translated 2 units in the positive vertical direction and 3 units to…

A:

Q: 61. Presale Order A wireless store owner takes presale orders for a new smartphone and tablet. He…

A:

Q: Suppose that lim f(x) = 10 and lim g(x) = -4. Find the following limits. X-3 X-3 a. lim [f(x)g(x)]…

A: According to the guide line we do only the first three parts of multiple part questions.

Q: Evaluate the following limits algebraically. 1. lim x---> 2      {5x - 7; x = 2

A: Note:-Since you asked multiple questions according to our polcy we can answer only first question…

Q: Using the Rules for Finding the Derivative of a Function. For the following exercise, assume that…

A:

Q: 5. Use Part one of the fundamental theorem of calculus to find the derivative of the following…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Evaluate 7x 11 √(x - - − 1)(x – 3) - - - dx

A:

Q: 56. The length of required to enclose a rectangular field is 3000 meters. What are the dimensions of…

A: Let the length of the rectangular field=x mLet the width of the rectangular field=y mThe figure of…

Q: Using the graphs of f and g shown below, find the derviative of h(x) = f(x) + g(x) for the domain…

A: The two points on the graph of f(x) on the interval   are:The slope of the line is given by On the…

Q: Question Details Given VxF= 2yj, what can we say about the vector field F? (Select all that apply.)…

A: We have to use the concept of curl of vector field

Q: lim У-у-г уг -30+2 зу Уже

A: We have to findlimx→−2

Q: Find the dimensions of the right circular cylinder of greatest volume that can be inscribed in a…

A: The right circular cylinder is inscribed in a sphere of radius .The aim is to find the greatest…

Q: Consider the parametric curve: x Y 4 +² +³4t At which t value(s) is the tangent to this curve…

A:

Q: Considering the interval [−2, 4], does the Mean Value Theorem for integrals hold for f (x) whose…

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Q: 19. Use Newton's Method to estimate the one real root of f(x)=x²+2x-2. Start with x = 1, and perform…

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Q: Find the Taylor polynomial of degree 3 of the function f(x) = arctan(9x) at a = 0. T3(x) = ||

A: f(x)=arctan(9x), a=0

Q: Find a vector function, r(t), that represents the curve of intersection of the two surfaces. The…

A: Trigonometric function can be used as parameterization of many curves, this is thanks to the use of…

Q: Given the parametric equations Compute the derivative dy/dx as a function of t. -t³, y = 6-3t x =…

A:

Q: 11. The quadratic function y = a (x - b)² + c passes through the points (-3,0) and (5,0). Its…

A: Question No. (11): The quadratic function passes through the points . Its maximum valueis 32. To…

Q: Consider the following graph of f (x). Which of the following are inflection points of f (x)? -3 O…

A: We have to find the coordinates of the inflection points from the given graph of function.Let's…

Q: The system of first order differential equations y₁ = 5y₁ + 1y2 y₂ = −4y₁ + 1y2 where y₁ (0)= 4, y2…

A: The objective of the question is to verify if the given functions y1(t) = (4 - t)e^(3t) and y2(t) =…

Q: After finding the partial fraction decomposition, 10 x-6 -3x + 7 2 x + 3 + X 0 3x + 4 x² + 3 S +…

A: Consider the integral

Q: k. y = ln x 1. m. y = y = 5 cos x + 8 lnx + 3x³ 3x¹+3x²+1 x

A: Given: y= ln(x)Solution: y= ln(x)Differentiating y with respect to x we have dydx= ddx(ln(x)) ⇒y′=1x

Q: Let h(z) = 2¹/3 Determine the most general indefinite integral of h. 1/3 dz

A: