Calculate 127 y [1/10 ds where C is the parabola r(t) = (t, t², 0). Let 1 ≤ t ≤ 4. X

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Q: Need a complete and handwritten solution, thanks! The family of circles with center at y-axis​

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: 1. Eliminate the arbitrary constant. y² = 4C (x + C) 2. Obtain the general solution. (Let 2C=C) (4x…

A: As per policy only first question is answered. Please refer to the image below

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Q: grow art thrive, eventually reprodur the population. (+/24) 10" ³ = 1×2⁰

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Q: Show the complete solutions. Family of circles centered at the line y = 2x. Ans: y" (y-2x) + 2(y')³…

A: Given problem:- Differential equation of family of circles centerd at the line y=2x

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

Q: 3. Using the following table, find the average rate of change from x = 2 to 11 X f(x) -1 -4 2 4 4 8…

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Q: 3. Check that each given function is the solution to the initial value problem. y(0) = 1, y'(0) = 2,…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Evaluate by Beat function: 1 = 5 x²-1 dx 1 + x4 Hint: Bixig) = ] _*-1 ans: (1+tjxty 1| + Sin Ta dt

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Q: 4. Find f '(0.5) for f(x) = [Arc tan(t)dt - Arc ta O 0.8 0.131 O 0.120 O 0.464

A: The function fx is given by fx = ∫0xArctantdt To evaluate: The value of f'0.5

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Q: 5-4 TIME FOR A LUMP SUM TO DOUBLE. If you deposit money today in an account that pays 4% annual…

A: On solving this we will get

Q: properties

A: Please refer to the image below

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A: Given equations:  dfdt=e-t2                 ............................(1) y'=3y+y2…

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A: To find the differential equation corresponding to given function.

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Q: Prove that B(x+1, y ) + B (x₂y +1) = B(x,y) let M(x+1)= X(X)

A: Here is the solution:

Q: I got the volume for the new gumball machine to be v=24428in^3. 5. The giant gumball machine will…

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Q: 5. Let f(g(x)) = H and H = √√x² + 4 a. If f(x)=√x, what is g(x)? b. If g(x) = x2, what is f(x)?

A: f(g(x))=Hand H=x2+43

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Q: 2. lim t-2 t²-7t+10 t-2

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Q: Solution- 0 +(x1 2 4 X +(x) 2 S 12 62 We use How tom's divided difference here 0 2 3 25 5 , 2 4 62 1…

A: To find newton divided difference table ,  For 3rd column , we will use formula   (f(xi +1) - f(xi)…

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A: To differentiate the given function.

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Q: How would this process look should we try to do it via limit definition (IE, (f(x+h)-(fx))/h)?

A: Derivative of g(x) at x=a=limh→0g(a+h)-g(a)h

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A: We can find the answer as below.

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Q: 2. Let f(x)=x²-3x+7. Answer the following: a) f(4) = c) f(1/2) = b) f(-3) = d) f(t+2) =

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: (2cot 2x² - 2e²) dx A. 1/cot 2x³ + 2e²+ C 2

A: To find out the integration of the given function.

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Q: Find the DE of a family of circles with center at (1,-2).  Hint: Equation

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