By changing to polar coordinates, evaluate the integral where D is the disk x² + y² ≤ 25. [][₂₁x² + 3 D 7/2 (x +y)7 dxdy

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A: Solution is here

Q: 11. Sketch the graph of the following function. f(x)= x³6x² - 9x [1]x- and y-intercepts

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Q: 4. If = tanx, show that the relation y' = 1 + tan²x.

A: Let's solve.

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A: We will find the required.

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A: Given problem:- Differentiate w.r.t  x sin5xcos3x

Q: 48. Using Properties Integrals Given 1 [*f(x) dx = 5, evaluate a. [ƒ(z) dz f(x) b. [1(x) dx - [1(a)…

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A: This question can be solved using the concept of maxima and minima.

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A: 1

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A: At market equilibrium, Demand= Supply , Supply: y = -0.05x +3.7 Demand: y = 0.02x + 2.3

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A: I have appended the formula used in the solution part of the question.

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Q: Find the limit. (Hint: Let x = 1/t and find the limit as t-ot.) lim 7x tan(2) Step 1 You are asked…

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Q: Then S-4 -√25-x² 4xy dy dx = Graphs: sketch the region of integration and evaluate the integral.…

A: The objective is to  solve the above question.

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A: Given 1. Air speed of airplane Vap=410 KMPH in N45°E 2. Wind speed  Vw=70 KMPH in N30°W

Q: Use the Root Test to determine whether the series converges. 2 1 3 1 1 ·* ·*·* ... + 18 36 54 72 +…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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Q: Find the slope of the line tangent to the following polar curve at the given point. 3π r= 5-5 sin 0;…

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Q: Evaluate the following integral using trigonometric substitution. √√2 S SO 0 √49-x dx What…

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Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $8 the…

A: Topic- Application of Derivatives

Q: Consider the function f(x) = 1 - 7x² OI function on this interval, i.e. f(3)-f(-4) 2 4)

A: answer is in next step . please give a like !!

Q: es and state values of 0 that produce the entire graph s the entire graph of the parabola?

A: We have to convert in polar form from the given Cartesian curve (parabola)

Q: 4) Find the point(s) of inflection f(x)=(sinx)(e*)

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Q: f"(t) – 4f (t) = sin 2t where f(0) = 1 and f'(0) = -2

A: Given f"t-4ft=sin2t f0=1 and f'0=-2

Q: Find the volume of the solid generated when the region bounded by the graph of y=- sin x and the…

A: Given problem:- Find the volume of the solid generated when the region bounded by the graph of y = -…

Q: Question 4 For the compound shape below, find its a) perimeter and b) its area 8 in 8 in

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Q: Evaluate the triple integral: π/2 2 S*S*¹² S² π/2 O 0 12p sin cos 0 dp do do

A: Given that a triple integration and we solve this integration by using general property of…

Q: Show

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Q: Find the derivative of the function by the limit process. g(t)= t3+5t St g'(t) = Submit Answer

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Q: Answer the following True or False: If p(x) and g(x) are polynomials such that p(4): O True O False…

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Q: Use an appropriate test to determine whether the series converges. 2(k!)4 9(4k)! Σ k=1 By the this…

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Q: Express the Cartesian coordinates (-1,-√3) in polar coordinates in at least two different ways.…

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Q: 3. Determine whether or not the series converges. Justify your conclusion. 86 Σ n=1 n² - 2n n³ + 3n+…

A: Solution is given below:

Q: 30. A trough has ends shaped like isosceles triangles, with width 3 m and height 4 m, and the trough…

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A: Given function is: y=xe-x

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A: As per Bartleyby guidelines we only give first three questions answers. Please repost for other…

Q: Use an appropriate test to determine whether the following series converges. 8!!! Σ 9 3 k=1 ³√k…

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