9. 2 + 1, t2 – 3, t3 + 1 Let C be defined by r(t) = for 0

Q: Determine whether the function t(xry, 2)=x' +y-2 (where Y,/ and Ź are s tritly greater than 0) is…

A: Use Hessian matrix

Q: x2-3x+1 i) S xln²xdx and ii) S7 dx. (x+2)(x2+1)

A: Given: ∫x ln2 (x) dxFormula: (ln (x))'=1x∫ x dx=x22+C

Q: 1 (x² - y²)² x+y valuate: ²₁₁² dx dy

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Q: An object moves along the a-axis, its position at each time t > 0 is given by æ(t) = t" 3 4 +t.…

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Q: S(x)dt, iff(x)= Vx-k+1;k-13x< i, k=1, 2.n.

A: By substitution, we calculate the following Integral.

Q: -4 6. |a + 3|dx – 1)³ydy -1

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Q: 28 If √1− xº + √1− yº = a³(x³ - y³) lf dy 1-y6 2 x²

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Q: Evaluate x² + 1 – Vx²2 – 1 dx - Va4 – 1 |

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Q: (In æ)" Find y'. Let y = e" + 2

A: Explanation of the solution is given below...

Q: Find the Atend and matnix gF

A: Given a T be a linear transformation and Tx,y=x+y,y−x We have to find the standard matrix of T Let…

Q: Let B = {1-3t +t² , 2 - 5t + 3t2, 1 + 5t2} and p (t) = 2 – 5t + 4t. Find x [p]g. %3D X1 = X2 = X3 =…

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Q: Compute gxxyz for g(x, y, z) = x²y³ z³. (Use symbolic notation and fractions where needed.) gxxyz =

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Q: Is Q closed over multiplication? (Y/N)

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Q: Evaluate xy ds, where C is describe by æ = 4t, y= 3t, 0 <t<1. Enter your answer as a number in…

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Q: A. Evaluate F(s) by definition for (a t²), t≥ 0. B. Evaluate sin z z²+j2z dz, C the boundary of the…

A: As per our Bartleby rules we have to answer only one question, when there are two or more questions…

Q: The domain of y = v2 – x is A. (-0,2] B. (-0,00) C. (-∞,2) D. [2,0) E. 0

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Q: The graph of the function fCX)=x²+dx+q has only one X-intercept Select a valve for d that satifies…

A: For quadratic equation to be only one x-intercept , discriminant should be equal to zero.

Q: Find the function r that satifies the following condition. r'(t)=(3t2,4t3,2t); r(1)=(-2,-5,-9)…

A: Given,          r't= 3t2 , 4t3 , 2t  , r1=-2,-5,-9

Q: (3–x*) ane d 2x. Calculate the Wronskian of functions

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Q: Which function is best represented by the graph to the right? 8 A y=-2x +3 -4 B y=-2x + 6 9-8-7 -1…

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Q: b) By using the given substitutions, show that i. Sx(x – 3)5dx =÷(x- 3)“(2x + 1) + C, z = x - 3 14…

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Q: π Show x² x² + x² +1 4 √3 -∞0 4 Hint: x² + x² +1= (xª + 2x² +1) − x² = (x² +1)² −x² dx =

A: The objective is to show that ∫-∞∞ x2x4+x2+1dx=π3

Q: (1 point) Find the solution to initial value problem d?y dy 12 + 36y = 0, y(0) = 8, y'(0) = 6 dt dt?…

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Q: 04 Let f(x) be a contineous function such that Ler - 5/W)dx = = 4 and =9, then a) 81 b) 101

A: Use definite integration property

Q: 4- 13 + 6y = 0 dx

A: We have to be find

Q: (b) (c) Explain the differentiability of f on R by using definition. 1 Let f' be the first…

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Q: Draw the bifurcation diagram for i = (x – 3)(c + x)

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Q: Let F = (3y + 2) i + (4x – 22) 7 + (3x – y) k Find Sc FdF where C is a line segment 8. %3D from A(2,…

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.