Eliminate the parameter t to find a Cartesian equation in the form z = f(y) for: [z(t) = 3t² y(t) = 3 + 4t The resulting equation can be written as a =

Q: 1.5(8x³ - 6x² + 12x − 9)dx - 2.S √x(x² − 3x + 2)dx • (x-1)² dx √x 3.f

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

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Q: 10. Use the definition of the limit of a sequence to prove that (3n+1 lim 2n + 5/ for all positive…

A: we have to use definition of limit of sequence.

Q: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 <x<3

A: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 &lt;x&lt;3

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A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

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Q: 3. Find a result by using homogenous for (x³ - 3x²y)dx- (x³ - y³)dy = 0 For Figure 1.

A: We have to find out solutions of differential equations

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A: Let's solve.

Q: 2. 6 cos 2x dx

A: To evaluate the given integral.

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A: h(x) = (f*g)(x)  it means  h(x) = f(g(x)) we have to make it  h(x) = 4x -1

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Q: What two positive real numbers whose product is 19have the smallest possible​ sum?

A: We want to find the two positive real numbers whose product is 19 and the smallest possible sum.

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Q: 1.5(8x³ − 6x² + 12x - - 9)dx

A: Using the formula of integration x^n

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Q: 1. Determine the vector and parametric equations of the line passing through P(-2, 3, 5) and Q(−2,…

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Q: x² dx √1+4x³

A: Solution of given question is written in below steps.

Q: Find the area of the region that is bounded above by the curve f(x) = sqrt(x−7) and the curve g(x) =…

A: The given curves: fx=x-7 and gx=19-x.The area is bounded by the above curves and x axis.

Q: b.) Draw the projection on a xz plane Show solution for the equation 4 اس -2 7 z 3 2 0 -2 1 2 c.)…

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Q: The particular solution (yp) of the equation y" − 3y' + 2y = 5 e* is yp = -5xex False True

A: Explanation of the answer is as follows

Q: The particular solution (yp) of the equation y" - 3y' + 2y = 5 e* is yp = -5xex False True O

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Q: 5. Obtain a polynomial P(x) such that f(x) = P₁(x) given the table -1 -3 x₁ f(x₂) -2 -13 1 -1 2 -9 3…

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A: This question is related to vectors, we will solve it using given information.

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Q: INTEGRATION OF 1/1+TANX

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A: In this question, we want to compute the length of the curve.

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Q: Find the average value OF: f(x) = 2 sinx + 3 cosx on the interval [0, π] Average value= OF C is the

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Q: -0.1 0.9062cos (1-√√3x) d x 吧。 (1-√³x)]" [sin (1- sin (1-√√3a) - sin (1-√√3(-0.1)) sin (1-√3a) 1-√3a…

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Q: Exercise: Find the area 1. 2. of the region bonnetest bounded y= q x², x=0, x=2, x-axis. y=x²+₁,…

A: See this solution in below