IGNMENT 6 (Areas by Integration) 1. Find the area in the first quadrant bounded by y = 4x-x and the - axis. 2. Find the area bounded by the curve y = x - 4, the lines y = 0 and = 4.

Q: dy Suppose 2e-2r and y(1) = 4. dx What is y(2)? O 3.117 O 3.567 O 4.117 O 4.135

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Q: Consider the following functions. f(x) = 6x – 5, g(x) = !! 3. Find (Fo g)(x). Find the domain of (Fo…

A: f(x)=6x-5  , g(x)=x3Consider(f∘g)(x)=f(g(x))             =f(x3)             =6x3-5…

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A: We have to draw the ellipse.

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A: Given problem:-

Q: Solve the initial value problem y" – 6y' + 25y = 0, y(0) = 2, y'(0) = -3. %3D

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Q: 2x4 h(x). 5x3 + 6 Select the correct response:

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Q: dw given w = ² – 2y + z² and a = cos (st), Use Chain Rule to find ds -2s Int and z = 8 - - Vi.

A: Given,             w=x2-2y+z2 , x=cosst , y=-2slnt , z=s-tTo find : Use chain rule to find ∂w∂s.

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A: Father will fence a circular garden whose radius is 3.5m

Q: Find the total area of the region enclosed by y=x^2 and y=2x by integrating with respect to y. (A)…

A: To find the area of the region enclosed by the two curves.

Q: Given the curve y=x2 and a point (5,17) Find the x intercept of the tangent line to the curve…

A: We have to find x-intercep for the given Questions

Q: An object with an initial position of x(0) = 5 has a velocity of v(t) = sin 2t. %3D %3D What is its…

A: Given query is to find the position of the object at π.

Q: Find the average value of the function f (x ) = in the interval %3D [1, 4] Express your answer as a…

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Q: 73 dx

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Q: (Drag and drop the missing words) is the of a definite integral as an endpoint of the interval of…

A: Answer is in below step.

Q: What is the absolute maximum value of f(z) = z³ – 3z² +4 on the interval (-1, 1]? %3D (A) 4 -2 (C) 0…

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Q: The auxiliary equation for the differential equation y" – 4y" – 12y = 0 - is

A: The given problem can be solved as follows:

Q: dr Evaluate the integral / dx. sin x cos x

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Q: Two people who want to meet each other will show up independently at a random time between 7am and…

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Q: For Item # 9 - 10: A company manufactures fuel tanks for automobiles. The total weekly cost of…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Consider the region bounded by x = 3y and x = y^3. A solid is formed by rotating the region about…

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Q: 6. Determine an equation of oNE of the two lines tangent to the curve x?y +2xy² = x + 6y, when x =…

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Q: Carlo works in a restaurant and makes S6 per hour plus tips. He is receiving an average of $5 per…

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Q: Find an equation for an ellipse with foci (+12,0) and vertices at (±13,0).

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Q: Find the radius of convergence for: 5"z" Σ n!

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Q: 3 y = sin?x? ; find dy 13D Xp

A: We will use simple differentiation rules to solve this question.

Q: اسدمل Find the akeaf fak the faltowing regions Area enclosed by the diagram V= Sin 3

A: Area

Q: 2 Determine f(x), given f'(x) = x´ – 3x + 1, and f(0) = 2.

A: As per the company guidelines we are supposed to answer only the first question.Kindly repost the…

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: 2. For each of the following functions, determine the derivative using only algebraic techniques and…

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Q: 3-x, x + 1 1. Let f(x) = 0, x = 1 Determine the following limit using the graph. limf (x) x-1 6 + 3.…

A: We can answer the question in the below steps.

Q: Question 3 of 10 u(x) = (tan? x – x²)³ Select the correct response. 3(2 sec a tan x - 2.r)(tan? x-…

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Q: Find the graph of the equation 4x 2 + y 2 = 4.

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Q: solve D.E (2+3) doe – 2aydy = 0

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Q: Find the graph of the equation 9x 2 + 4y 2 - 18x + 8y - 23 = 0.

A: We can solve this problem by using graphing calculator

Q: Where does the line through (1, 0, 1) and (3, –3, 4) intersect the plane x + y + z = 6? (x, y, z) =…

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Q: Write the general equation for the circle that passes through the points: (-1, 2) (4, 2) (- 3, 4)…

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Q: 2. What is the area of the circle if the diameter is 48 m? 3. The wheel of the car has a radius of…

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Q: Tokio tracks the monthly balance of her investment in a newly opened bank in Palawan. Refer to the…

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Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. ||

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Q: The functions yi = e linearly independent solutions of the homogeneous differential equation x and…

A: Two solutions of a differential equation is said to be linearly independent iff their wronskian is…

Q: Given the equation x In(y) = z Arctan(3*y). Assuming z as a function of variables a and dz find

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Q: Verify Green's Theorem by evaluating both integrals ƏM r dx + x² dy= dA ду Ne for the given path. C:…

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Q: 1. Ihe rodius of a circle is 9 centimeters. What is the area? 2. The diameter of a circle is 12…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: B. Directions: Determine whether the following functions are continuous on the given interval. x-5…

A: 1).f(x)=x-5x2-x-6f(x)=x-5(x-3)(x+2)⇒Function is discontinuous at x=3 and -2And 3∈(-1,3)Therefore…

Q: Find a power series representation for the function. (Center your power series representation at =…

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Q: Evaluate the indefinite integral of f(x) : = x sin x sin x + x cos x + C COs x x sin x + C - sin x x…

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