Find the area of the curve: r² = 16 cos 20

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √ 1 + ex,…

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Q: Identify any vertical, horizontal, or oblique asymptotes in the graph of y=f(x). State the domain…

A: Graph of the function is given, we have to find its asymptotes and domain

Q: e partial graphs of y sin z +1 and y-2sin z +1 are shown below. y 4+ gluxit At F A B yey D The…

A: Given query is to find the solution of the expression.

Q: what is the basic concept of a limit? How is a limit calculated? What techniques/rules have you been…

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Q: Find the derivative of the function f(x)=(sqrt(x-1)^2))/x^2+1)

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Q: Find the limit. Use l'Hospital's rule if appropriate. If there is a more elementary method, consider…

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Q: Find the distance between line 2xy + z = 4.

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Q: 1.5+ 1 4 In the figure, is f(x) squeezed by u(x) and 1(x) 2 1. at x = 37 ? 2. at x = 2? IT 14(X)…

A: Concept: Squeeze theorem: Suppose that g(x)≤f(x)≤h(x) for all x close to a but not equal to a.  If…

Q: 4) The student population at a certain school here in Dagupan can be modeled by the logistic growth…

A: You must have idea about growth model to understand it better.

Q: ata Careek. The following expression represents the Riemann sum, sing over some interval [a, b], a…

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Q: 41. Two straight roads diverge from an intersection at an angle of 60°. Two cars leave the…

A: Above question is solved.

Q: 1. Given the function f(x)=2-4x+ +$. Please find the intervals of increase or decrease, absolute…

A: Given problem:-

Q: A man is camping on an island 1km from the nearest point on the shoreline. He wants to go to the…

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Q: Evaluate: fr² cos 3rdr

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Q: For Item #8 - 9: The population of a certain type of animal increases according to the logistic…

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Q: Problem 3 Solve d² +3 d +3dy - 4y dx² dx = x²

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Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

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Q: My - Nx If = =Q, where Q is a function of x only, then the differential N equation M + Ny' = 0 has…

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Q: 1. Which of the following is equivalent to 3(x+4) - 6+5x? A. 3x + 12-x B. 8x-2 C. 8x + 6 D. 2x+6

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Q: iv) Sº³ §¾½5 √xª + 1 dxdy

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Q: A stone is tosse long will it take

A: Please refer to the image below

Q: -2x let f (x) = 3x · e¯¯

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Q: A polynomial equation of the form y = ax + bcx³ - 10x2 has an absolute maximum at (1,6). Determine…

A: Given

Q: Which of the following integrals are improper? (Select 3 L₁x²-1 dx 3x - 1 1 06²/21 x ² = 1 dx 2x 00…

A: Topic:-  improper integration

Q: It takes 10 hours to fill a 200m³tank using 4 pipes. How long would it take fill a 500m³tank using 2…

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Q: the convergence and divergence of the following S vergent series. b) Σ=13*51-n

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Q: Given the function below, find the point of inflection: y=a* _ 2p2 OP() O P(-1,-1) OP() O None of…

A: Given problem:- Given the function below, find the point of inflection:   y = x4 - 2x2

Q: Which x-value is most useful in approximating 25.01? 26 16 27 25

A: Given, 25.013

Q: (2x² - x - 1) x³ - x² ; 2 dx

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Q: (x+3)(y-5) 16 = 1 25 (x+5) + (y -1)} = 1 5. - % 6.9x² +4y² +36x-24y+36=0 4. ²

A: Given problem:- FOR EACH OF THE FOLLOWING, FIND THE CENTER, VERTICES, FOCI AND ECCENTRICITY OF THE…

Q: Evaluate: (answer in fractional form så S sinº x dx 0

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Q: 2.) ff exdxdy

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Q: √ (9+x²) ²0 dx is equal to 3x a. + Arctan) + C 3x b. (+ Arctan) + C - 54 c. + Arctan) + C 27 d. - (+…

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Q: You create a container by rotating the curve y = 4 ln(x-6) for y=0 to y = 9 around the y-axis. You…

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Q: Determine the following integrals: 1.1 G 3x³ +8 X dx 1.2 G 1.3 4x+6 dx x + 3x-10 sec² (sin 5x)cos 5x…

A: We have to find out solution

Q: Q21 A\ Are this function continuous f(x) x³-1 at xo = 1?

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Q: Let 7(t) = Find 7' (t) T' (t) =<

A: Given, r(t)=&lt;5t4-5,-e2t,-3sin(3t)&gt;

Q: Use the difference anti-an to show that the given sequence {a} is strictly increasing or strictly…

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Q: Water is flowing inside a right cylindrical vessel at the rate of 1275 cm³/s. The radius of the…

A: We know that the volume of a cylindrical vessel,  V = π·r2·h where r is the radius and h is the…

Q: Assessment Evaluate each indefinite integral. 1. f(6x² + 14x-5) dx

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Q: both answer are not correct.

A: Let's find beam of light moving along the shoreline.

Q: If a vector has an initial point of (−3, −2) and a terminal point of (5, 9), what is the magnitude…

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Q: They 2 r 1 10 mber of Red Cars hat was the average number of red cars that they saw each hour? Round…

A: Topic:- Algebra

Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

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Q: Explain why the function is differentiable at the given point. f(x, y) = 9+ x In(xy-7), (2, 4) xy…

A: The linearization of a function f(x,y) at (x0,y0) isL(x,y)=fx(x0, y0) (x−x0)+fy(x0, y0)…

Q: At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship…

A: Here is the solution of the given.  To solve this problem we use here simple concept of time and…

Q: Part III. Evaluate the following. Justify each step if necessary. 1. If F(x)= [mm (8-) √²+3 dr. F'…

A: Let's solve diffrential of integration.

Q: A curve is defined by the parametric equations Find the length of the curve from t=1 to the closest…

A: .We have to find the length of curve,

Q: Q2: Find a general solution of the differential equation (D² + 6D +13)y= 10e³- 16e using the…

A: Concept: The general solution of the given differential equation is given by  y=C.F+P.I Here C.F is…

Q: 5. Find Oz дz дх and if x - z = arctan(yz) defines z implicitly as a function of x and y. ду

A: