D is the region enclosed by the parabolas z = y²-9 and 2 - y² +9.

Q: The shaded region between the graphs of y=-22² +20 and y = 3x - 15 is displayed below in orange. -40…

A: Area of a region is given by ∬dydx, when the rectangle is choosen parallel to y-axis.Area of…

Q: O -2 -2 Convert the given polar coordinates to rectangular coordinates. (x, y) = (b) Graph the point…

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Q: 7) y = — - cos (40-32) 2 D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: To determine the area of the region bounded by y=x2 + 1 bounded by x=2, x= 1, y = 0, use a…

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Q: Approximate 141/4 using the Linear Approximation L(x) of f(x) = x¹/4 at a = 16. (Use symbolic…

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Q: Evaluate the iterated integral. 40 (xªy-7xy) dy dx 0-4 40 jjov (xªy-7xy) dy dx = [ 0 - 4 (Type an…

A: The given integral,    ∫04∫-40x4y-7xydy dx

Q: 1 Given that 1 1-x a with convergence in (-1, 1), find the power series for 7-x n=0 n=0 Identify its…

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Q: Consider this expression: sin (-9) Reminders: To indicate √√7, then type: sqrt(7). You must type the…

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Q: Apply the definition to differentiate the following functions: 1- y = ₁ 2- y = √√x 3-y=4-x²

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Q: A toy ball is thrown into the air from the top of some bleachers which are 5 feet above the ground.…

A: Given    h(1) which means after 1 sec height of ball will be 13 feet

Q: 11. S x + 4 x² + 5x - 6 dx

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Q: 3) Σ

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Q: Write an equation for the transformed logarithm shown below, that passes through (0,0) and (2,-2).…

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Q: A company produces a special new type of TV. The company has fixed costs of $454,000, and it costs…

A:

Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ — sin 2x + 1,…

A: The answer is given below using the formula:  W = ∫abF(x) dx where W is work done and F(x) is force…

Q: 4. Find the area between the parabola y² = 4ax and x² = 4ay

A: As per bartleby guidelines we only give first question answers.

Q: Find the derivative of V(x) = ln(sin x) – (x4 – 3x)10

A: We can find the derivative as below.

Q: The interval of convergence of the following Power Series +∞ Σ nxn 4¹ (n + 1) n=1 ]-4,4] [-4,4]…

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Q: 1. Determine the value of a such that lim 24-2 Hint: Apply one of the Limit Laws. 3x² + ax + a +3…

A: We have to find limit

Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

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Q: Find the gradient of f(x,y,z) = (x² + y² + z²) Vfl (1,2,2)=(i+₁+O (Type integers or simplified…

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Q: Sin 20 + cos20 +1 Sin 20-cos20 +1 - - сото

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Q: II. Solve the following problems. Enclose final answer. 8.A kite at an altitude of 200 ft. moves…

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Q: Consider the following graph. 1 1 X

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Q: π I Find the volume of the region bounded above by the surface z = 7 sin x cos y and below by the…

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Q: 4. Volumes of Solids of Revolutions. Find the volume of the solid generated by revolving the…

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Q: The area of a square with side s is A(s) s². What is the = rate of change of the area of a square…

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Q: The function 5x+1 f(x) 1-In (x³ +e) has a Maclaurin Expansion O false O true

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Q: Given the graphs determine the integral to find the volume, if it is rotated about the x- axis (1,…

A: We have to find the volume.

Q: Read the instructions first, then plot

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Q: n 2sin(x)=1, on the interval 10, 2π], what is the value of x?

A: Given query is to find the value of x.

Q: In problems 5 and 6 find the particular solutions of the given differential equations. d²y dy +9y =…

A: To find the solution of the given differential equation.

Q: What is the amplitude, period, phase shift and y-intercept (exact and approximate) of f(x)? Sketch…

A: This is a problem related to function. Based on the general equation of the sine and cosine function…

Q: A street light is at the top of a 13 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: Step 1 of 2: Determine the intervals on which the function is concave upward and concave downward.…

A: We need to determine interval of concavity.

Q: Answer the following. Complete Solution 1. Integrate -2 ex sinx a. dx 0 1+x² 62e

A: F = ∫02exsinx1+x2dxIt is a complex integration hence, numerical method is used.…

Q: The sum of two positive numbers is 20. Find the numbers if the product of the square of one and the…

A: We have to solve above question and the find the two number

Q: Using the definition of the derivative, find f'(x). Then find f'(1), f'(2), and f'(3) when the…

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Q: ) Find the Taylor series for f(x) = ln x centered at 3. Show All Your Work.

A: We can solve this as follows:

Q: Write an equation for the transformed logarithm shown below 5 4 3 2 1 -5 -4 -3 -2 -1 3 4 5 f(x) = N…

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Q: Find the area of the region that is outside the cardioid r = 7(1 – sin ) and inside the circle r =…

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Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ - sin 2x + 1,…

A: Given :f(x)=x3-sin2x+1=22.688

Q: Q2] Classify the following D.E to: order, degree, homogeneous, and linear: dy 2y=x 3 dx dx

A: We can solve this as follows:

Q: The Taylor Series generated by f(x) = ln(2 + 4x) at x = 0 is f(x) = In 2 + 2x - 2x² + ²/² x³ + ·…

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Q: In your own language, describe the pattern of the following sequences (The sequences are given as a…

A: We draw required connection between the pattern and formulas as below.

Q: dy Use Picard's method to solve =-xy, y (0) = 1 dx Find y3(1)?

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Q: Write the given statement into the integral format. Find the total distance if the velocity v of an…

A: The velocity of an object v=t2-3t+2 m/sec. over the time period 0≤t≤2

Q: Convert the following point from cylindrical to rectangular coordinates: (x, y, z) = (5.5.-9) 5, 2

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Q: What is the volume of the solid generated by the area bounded by y=x² and x=y², and revolved about…

A: What is the volume of the solid generated by the area bounded by y=x² and x=y², and revolved about…

Q: 8y^4+12y^3-2y divided by 2y^2+y

A: