Enclosed by x² + 4y² = 16

Q: Find the general solution of the differential equation: (1 + cos(x))y' - (sin(x))y= 2x 2x Step zero,…

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Q: b) R2x³ydA where R={(r,0) | 1<r<2, π/6≤0</4}. Sketch:

A: Note: these are multiple sub parts questions and according to our company guideline we can do…

Q: Evaluate the integral by completing the square and using the following formula. (Remember to use…

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Q: The equation of motion of a particle is s = t3 - 27t, where s is measured in meters and t is in…

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Q: Evaluate the integral. Please show step by step! S sin x 1-2 sin² x cos²x dx

A: I am attaching image so that you understand each and every step.

Q: Question R is the region bounded by the functions f(x) = 1-3 sin (x) and g(x) = 3 cos (x). Find the…

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Q: Step 2 of 4: Find lim f(x). x--3+ 10 10 -10 Keypad Keyboard Shortcuts Selecting a radio button will…

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Q: that the internal of Convergence of the server 24-12-1 Z n=1 (4-3)² not is given by - √/24 x = = =…

A: Using ratio test, to find wheather series is convergent or divergent in which interval.

Q: Hello, complete the attached Calculus question correctly and show all your work completely without…

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Q: b) A monthly service fee to download e-books is $4.95, plus $3.99 per book downloaded. Write an…

A: The object is to write an equation that represents the total cost.

Q: In the 2000 U.S. Census, a small city had a population of 50,000. By the 2010, the population had…

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Q: a) The law of Cosines Given: a = 55 b=25 c = 72 Find: A-? B-? C-?

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Q: Which of the following gives the volume of the solid created by revolving a curve f(x) around the y-…

A: There are three methods to find the volume of a solid generated by revolving a curve f(x) about a…

Q: x² + y² Briefly differentiate directional derivatives with suitable graph and equations.

A: This is a problem related to vector calculus. Based on the general formula and concept we will…

Q: Evaluate tan |2x| dx F

A: The given definite integral,    ∫-π8π6tan2xdx

Q: Numerical Integration: 1 So Fede dx 1. 0 2. 2 (2x² – 3x) dx -

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Q: Let y 5x²8x + 4. If Ax = 0.1 at x = 1, use = differentials to estimate Ay Δy ~

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Q: Q) find differential equation of the following equation 1) y' = y-x y+x

A: Solution of the above differential equation is

Q: A vector collinear to ū= is: a. d. 1,-2,-3> b. -1,2,3 > e. [K C.

A: Solution is here

Q: Question The following table gives the approximate increase in dollars in the average price of a…

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Q: Evaluate the integrals. x√√1-x² dx a. x X b. I si sin5 -cos-dx 3 3

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Q: h(x) h'(-6)= = f(x) g(x) based

A: Given;  h(x)=f(x)/g(x).

Q: The marginal revenue for a certain company is given by the function R' (x) = 100x-1/2 where R'(x) is…

A: Given.

Q: II. Solve the following Linear differential equations of order one.  2.)    хdy + (у — ху + 2)dx

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Q: Suppose the weight (in pounds) of a baby boy x months old, for his first 10 months can be…

A: Given function, f(x)=1.6x+8.3 Where x is in months.

Q: 5. Find the Taylor expansion of f(x)=x² - 2x + 4 at x = 2.

A: To find the Taylor expansion of fx=x2-2x+4 at x=2.

Q: Suppose f(x) = n=0 To determine 0.00000675 [ƒ(2) dz f(x) 6.9 - (x - 7)" 7 S f(x) dx to within…

A: Solution

Q: 1. Assuming that one of the sides of a rectangular field is along a river bank and no fencing is…

A: In this question, we want to know the dimensions of the rectangular field that will satisfy the…

Q: The half life of a decaying substance is the amount of time it takes for the substance to reduced to…

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Q: A b. C find an equation of the tangent to the curve at the given point (T/6,1) 4 sin ² x y = + y =…

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Q: Question. R is the region bounded by the functions f(x) = 3e¹ - 1 and g(x) = x² - 6. Find the area…

A: R is the region bounded by the functions fx=3ex-1 and gx=x2-6. To find the area of the region…

Q: Question Given the function f(x) = 4x² + 6, find the value of c such that f(c) equals the average…

A: Given function is f(x) = 4x2 + 6

Q: dx 5. ≈ 16 x J dx – x2

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Use Euler's method with step size 0.4 to estimate y(2), where y(x) is the solution of the…

A: Here, the given function is: y'=3x+y2, f(x,y)=3x+y2, h=0.4, x0=0, y0=-1

Q: x³ cos x dx

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Q: The Taylor series for f(x) = e at a = 3 is cn (x - 3)". n=0 Find the first few coefficients. Co= C1…

A: Given problem:-

Q: The height y (in feet) of a ball thrown by a ch 1 -x² + 6x + 5 - y = 14 where is the horizontal…

A: The height of the ball is given by  y=-114x2+6x+5 in feet where x is horizontal distance from child.…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: We use the formula: For n = 1, 2, 3, . . .

Q: [u udv-uv- - [vdu to Explain why the substitutions below are inappropriate. Let dv =x dx 1. Suppose…

A: This questions uses ILATE  rule

Q: 5. Using the least squares approximation, the best fit an exponential curve y = = ea(x-b) to the…

A: answer is in next step

Q: 2- Explain why the following linear systems are positive definite, then solve them using the…

A: answer is in next step

Q: Find the area of M. == Let M be the region bounded by the parabola y (0,2) (-2,0) 4 0 L N ရာ T c…

A: Given problem:- Find M be the region bounded by the parabola y=(-1/2)x2+2 and the line y = - x - 2 .

Q: Y = resin r sin a

A: Given

Q: The surface of the sun has dark areas known as sunspots that are cooler than the rest of the sun’s…

A: As per guidelines, we are going to solve only one problem. So please repost the other problems…

Q: dr. T About OX -2 2 y=√16-1²

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: V = πT -0.5x Sin 4x 4 +8x-cos2x 2 - X²-4 2²- 19.5x 1.478 -1-082

A: To determine the limit of the following equation.V=π-0.5×sin 4x4+8×-cos…

Q: P2: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x - 3y - 2…

A: Given: y=√(x-2) , x-3y-2=0

Q: 8 kg/m, where x is measured in meters from one end of the rod. √x+1 The linear density p in a rod 3…

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Q: A company produces a special new type of TV. The company has fixed costs of $480,000, and it costs…

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Q: 1 B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In; x²+y²

A: To find all the second derivatives for fx, y=3xy2+2xy+x2 ln1x2+y2.