The domain of the function f(x,y)=3x+e 1s: D ={cx;y)eR?/(x +Dn² + y² 23} D ={x;y) eR?/(x –1)² +y² <3} O This option O This option D = {x;y)eR?/x +1)° +y² s3} D ={x;y)eR?/x -1)² + y²s3} This option This option

Q: If z = x² - xy + 3y2 and (x, y) changes from (3,-1) to (2.96,-0.95), compare the values of Az and…

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Q: / solve The equations: 0 xーメ+\=o っ ③ 2x+3メ+S=。

A: As per the company guidelines we can solve first three parts. I hope that the given solution will…

Q: (x + y)ds, C : ¤ = 2t, y = – 2t + 3, for – 3 <t<0. Preview

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Q: Q. / Standx dx 3 None 2log|sec4x| + c 3 8log|sec4x| .+ c 3 2log|sec4x| + c 4

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Q: Step 4 Finally, determine(-3x + 7) and (x + 7) and simplify the result. dx dx 1. du 1 dv + U dx V dx…

A: formulas we use: ddxf+g=dfdx+dgdxddxkx=k; k is a constant.dkdx=0; k is constant.ddx(x)=1.

Q: What is the parent function of y = −(x+2)(x − 8)? c. y=x³ d. y=x² 4 a. y = x 2 b. y=x² O A O B O C O…

A: To find the parent function of the function y=-2/3(x+2)(x-8)

Q: Tgir.y) = (2ry, 1+2+) and g(1.0)=8, then g(4.1)-9(2.1) =

A: Topic:- calculus

Q: XI. 6 F dF where F = (x³ – y, x + e') and C is triangle with vertices (0,0), (3,0), (4,2).

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Q: 2) Differentiate and simplify: f(t) = 2et e2t+ 1

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Q: Find the interval(s) where the function y = x – 2x² – 7x + 2 is concave down. Justify your answer.

A: Find the double derivative of y and then equate it to zero.

Q: 3 1-x Find [, [* (x³ + y)dydx

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Q: c. x = t3 and y = 2t2 /2, 0<ts v3 3 d. x = t2/2 and y = (2t + 1)7/3, 0<t< 4 %3D

A: 1)x = t3  &amp; y = 2t22,  0≤t ≤ 32)x = t22  &amp; y = (2t + 1)323,  0≤t ≤ 4

Q: 5. Evaluate f V2x + 1 dx. (2x + 1)/2 + C a. 3. b. (2x + 1)/2+ C c. (2x + 1)/2 + C d. (2x + 1)/2 + C

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Q: 2 (0² 20 0 Ans v=c₁ +c+.

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Q: A- Find d2y dr² for the function x³ + xy = 1 at (1,1)

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Q: Change (x + 9)? + y? = 169 to x? + y? + Dx + Ey + F = 0. Change x? + y? – 8x – 8y + 16 = 0 to (x-h)?…

A: topic - equation of circles

Q: Evaluate -42 (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (3, -7) X

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Q: If y = (5x+ 1)(2x- + In x), then will be dx A. (5x + 1) (+;)+5(2x-1+ In x) В. B. (5x + 1) (-) +…

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Q: d. x+3y = 0 y-4+ 4(x - 2) f. -6x + 4y -7 Find intercent and v-intercent.

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Q: 3x + 2 10. Find the principal value of dx. (a² +9)(x- 4)x

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Q: 10 Let y = ( 2x + Then -A(2x + 10)" (2- 10)°, dy = A[ 2x + 2 - where A = %3D C = %3D

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Q: Differentiate the following function. 6x2 +5 y= x2 +1

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Q: = / y ²³. (X²+1) (3x+4) 5/ (2x-3)(x²-4) Find dy da

A: To find dydx:

Q: Differentiate the following function. 6x2 +5 y = x2 +1 dx (x² + 1)< dy (x² + 1) • : (6x² + 5) + (6x²…

A: You just need to apply quotient formula in order to solve this.

Q: d2y at the point (2,) 48. Given yax-i.find -1, find - at the point|2, ах x

A: Given:The function y2x2 = 1.The point (2,1/2).

Q: Y = -2X, then p(X, Y) = 1?

A: Solution

Q: The change of the energy efficiency function ( P ) of a factory with respect to uj and u2

A: In this question, we have to find the maximum value for the two-variable function. Here we use the…

Q: Evaluate | (r + y)ds, c : x 3t, y = - 3t + 3, for 0 <t< 3.

A: Given: ∫C(x+y)ds, C: x=3t, y=-3t+3, for 0≤t≤3

Q: 1. (1+ V)²dx 2 2. (교2-z) dr (r-1 +x)2 3. xp-

A: solve the following

Q: (x+6) 15. J (x+2)2 dx

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

Q: Find the exterma R-{ (ny ): xy zo} 2. F(xry) = x² +y?- メッ ×り

A: To find extrema first we differentiate the given function with respect to x and y, then after…