Convert the parametric equations of a curve into rectangular form. No sketch is necessary. x = Vt, y = 4t + 9 State the domain of the rectangular form. (Enter your answer using interval notation.)

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A: Option B

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Q: 6-x Solve the rational inequality x<- Problem 3. 2x-5 Leave your answer in interval notation.

A: Topic = Inequality

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A: Given: y''+y=12cos2x-sinx

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A: Given A=352252 and B=204768C=3B=3*204768               C=[6012211824]

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A: Given query is to find the correct option for partial derivatives.

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A: Note that the vector equation of the line passing through two points a→ and b→is given by: r(t)=a→+t...

Q: 40. f(x) = -x' + 3x + 7, %3D

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Q: Determine Linear Functions Directions: Determine which functions are linear and then drag each into ...

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Q: In Exercises 17–56, find the most general antiderivative or indefinite integral. You may need to try...

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Q: If S(16x* – 16x³ + 4x²)dx = F(x) + C, then F(x) = 16 A 5 B (4x²– 2x) 3 16 5 3 16 5- 4,3-4

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Q: Determine f(x) so that cos(In²x) f (x) dx = sin(In²x) + C

A: Let t =log2 x and follow step 2nd . 

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Q: Evaluate the following indefinite integrals. 1. Jx²dx 2. S(x³ + 2x)dx 3. S(a)dt :a = constant

A: Solving the problem by finding the indefinite integral.

Q: m+2m Consider J dm. If we letu = m+ 1, what will be the resulting integral as a function of u? In(u)...

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Q: Evaluate the double integral Jo J-y? dxdy

A: To evaluate: ∫02∫-4-y20dx dy

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A: Given: ∫-4x-12x+103x-43dx=Fx-1   ...(1)  

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Q: 58. Find the maximum volume of a cylinder inscribed in a core of 4 m volume.

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Q: Determine whether the series converges. Σ k=1 V8k – 1 The series converges. O The series diverges.

A: To determine: The convergence of ∑k=1∞ 18k-13.

Q: (2x² +)x ;dx (x8 + 4x5 + 4x²)² Using u-substitution and transformation of the integrand, then the po...

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Q: 2. (x +1)y'+y = x² – 1 %3D -

A: Topic = Differential equation

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Q: Solve the following differential equation dy _ x²+y² dx ху Select one: O a. y? = x?Inc²x² O b. y? = ...

A: Solving by exact differential equations

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Q: If g(x) = f'(x) and if g(x) = (cos x – x sin x)e* cos x, then S g(x) tan(f (x))dx is

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Q: The sum of the series E-1 1-2n is: A) 1. B) 2. C) : D) 3

A: Here we have to find the sum of series ∑n=1∞121-2n

Q: Solve the given problem below: (2x + y cos x) dx +sinx dy=0

A: We will solve it by exact differential equations method.

Q: Plot and label the following polar point on the graph. Find the Cartesian coordinates of this point....

A: see below the answer and explanation

Q: y6_y²+7 h (y) y2+3y

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