dy Ify드a2-4x-의. then. dx x2 2x-2) 2-4x-5 einz2-4x-5)- In(z+2)]. x2-4x-5 x2 x2-4x-5 x 2 x 2 2-4x-5 x2-4x-5 2(x-2) x2-4x-5 x+2 x+2

Q: (m) For ro = -8, 11 = -7, 12 = -6, 13 = -5, I4 = -4, f(z1)Ar,

A: Given

Q: う when as1; サ=2 3x 会。 dy

A:

Q: Let flx)-4x H2 %3D

A: Topic = Function

Q: 7 --y2 Then 2 5 Q2: If z = –x² az + 5x ду az 7y ||

A:

Q: Compute R' (x). OR (a) = 70 + 0.04x %3D OR (x) = -70 + 0.04x OR'(x) = 70 – 0.04r %3D OR'(x) = 70x –…

A: We have to find R'(x).

Q: Show that the equation x-4y+7z=14 , 3x+8y-2z=12 , 7x-8y+26z=5 are not consistent

A: Show that the equation x-4y+7z=14 , 3x+8y-2z=12 , 7x-8y+26z=5 are not consistent  We use Cramer's…

Q: Show that $) it gly) 1-y 2

A: Recall: The domain of a function is the set of all possible inputs from the function.

Q: Differentiate y O 1 4x +2 = x(x-1) (2x²(x + 1)) 3(x-1)²(x²+2x+1) 8x² + x 2 2 O3(x-1)² (3x²-1) 8(x² +…

A:

Q: Verify that 2. 1 Hint: Consider x 0, x 0 separately

A: To verify

Q: 3. 31 √ √(²x- (2x - 4y)dydx 1 -1

A:

Q: Find dy 3 2. -3x

A: Given that, f(x)=x3-3x We have to find derivative of the given function.

Q: Assume that x² + y² = 4xy. Then y' Select one: True False 2x-4 4+3y²*

A: Let's solve derivative of function  and maximum value of given function.

Q: Give a counterexample to show that (AB)-1 =/ A-1B-1 in general.

A:

Q: IF y = u+ + 3u2 & u = 2x 64x3 + 30x 8x(8x2 – 3) الخيار رقم 1 خيار 3 Find dy dx 8x(8x2 + 3) 8x(8x3 +…

A: We can find the derivative as below.

Q: Qil If y , Show that y=2x- 2y3

A:

Q: Find dx (9x² + 16 1 1 - In |3x + V16 + 9x²| + c -In |3x – V16 + 9x²| + c Option 2 Option 3 1 1 In…

A:

Q: 3. Let fx) --2x (x² - 9)(x*-1) Determine

A: Please find attachment for the details solution

Q: Differentiate y = In(x³ + e*) .2 3x+eX А. x3+e-X 3x2-ex В. x3 +e-X 3x2-e-x C. x3-e-X 3x2-e-x D.…

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Q: 16) If x = 5y-3 and y = -2a3, express x in terms of a.

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Q: -12 (",(25x – 46x + 3)cx J-12

A: Given query is to find the value of the integral.

Q: ++4 if X < 3 f(x) = { x2 + 1 if -3 sx<5 %3D x-7 if X25

A:

Q: Ex Fezy)= 3x+ 8x fom <2) F(Zx).2 8+ x9 =

A: Given: f2x=3x2+8x For finding value of f'2, we differentiate given function with respect to x

Q: Show that Inx dx = -/Zn². x3/4(1+ x)

A: The given integral is: ∫0∞lnxx341+xdx

Q: Evaluate: ₁²-du So -3 (x² y²)²7 x+y du dt

A:

Q: (2) Find dt2 if y = x2 + 3x -7 and x 2t + 1 | 2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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: Compute 6x3 + 4x2- 7x + 40 dx. x2 7. 80 + C x2 40 3x2 + 4x- 7In|x| + + C O 18x2+ 8x-7+C 2x 40 O 3x2…

A:

Q: 21) Differentiate implicitly x² = x²y+2y²

A: Given: x2=x2y+2y2

Q: =--x+ 1 3. 2 1 -1 -6 3 4 5 6 -5 -4 -3 -2 -1 -2 -3 -4 -5 -6 C y=2* x + 3 3 2 1 -6 -5 -4 -3 -2 -1 1 23…

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Q: 6(-ズ) -2Xg +zy= @ y'= -2xy 6ずー+メ =o S(+2x)ず+3x+}=0 3-を

A: Given The given differential equations are (A) (1) 1-x2y"-2xy'+2y=0 (2) y'=-2xy (5) y'-y=0

Q: A. Homo geneous Higher Ordered LDE 1. (D5 - 1204 + 520D3 - 112D² + 192D - 256)y- O

A: Solution

Q: Let x³ + yª + 8x + 3y = 7. Computeat (2,1)

A:

Q: Consider (x8+ 8x5+ 16x2) ² -dx. Using u-sub

A: Given: - The integral is, ∫x2+1xxx8+8x5+16x22dx To find: - The values of k and n. By using…

Q: 2₁ "+21y+8x=y" + 5y' + ex

A:

Q: If y=2x²-4, what is its inverse? or Oy¹--√2 Dy^--, DOIN such that xs-4 such that x2-4 such that x20…

A: Given, y=2x2-4 To find the inverse, we need to swap the variables 'x' &amp; 'y' x=2y2-4 Now solve…

Q: az Calcula y z = x4 – 2y3 O 8z 4x3 az -6y? O az 4x – 2y dz = 1* – 6y O dz = 4x3 az = 6y? O 8z 4x –…

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Q: 32. In y = 2y² - x; (2, 1)

A:

Q: 2) Find dy of: 7x 5 上 (3-2x

A: We know that  ddx(xn)=nxn-1

Q: 6. Differentiate: y x2 + 3x – 1 x²+1 -(x²+1) В. А. x²+3x-1 (x²+3x-1)2 -x2+1 x2-1 С. (x²+3x-1)2 D.…

A:

Q: Salx) = 212-4.87x+ 3,2x² -0,53x3 S(K) =FSzcx) = -30,2 +27 53 x- , 6x+ 0,69X, S(x) = 2イ- 40,争K+…

A:

Q: 32. If WY = 15x - 2 and XZ = 9x + 10, find WY. DELL

A: Here I am solving question 1 if you want the answer of second question repost the another question…

Q: (-x+2, if – 1 sx<2 V3x – 6, if 2 < x< 5 -2x, if x <- 2 lx² – 1 , if x <- 2 1. f(x) = 2. f(x) = 3.…

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Q: A x² B --x-In Ix+11+ C x² 2 -x+ In lx+11+ C 5x²=² dx x+1 C x² D x² +x-In Ix+11+ C +x+ In lx+11+ C

A: The given integral,              ∫x2-2x+1dx

Q: Eliminate the arbitrary constants of: x^2=Axy+By

A:

Q: ) ŷ+ 2ỳ – 3y = 3e¬* X- -

A: Here is a step by step solution of the given differential equation.

Q: Findy ot x-5xy+3y =7 Oy= 2x-5y 5x+6y 2x-5y 5x-6y 2x+5y Oy 3x+6V 2x+5y Oy- 5x-6y

A: Given y² - 5xy + 3y² = 7 To find y':

Q: Sketch the nullcline for: x' = 4 - y2 + x2 Explain.

A:

Q: IF y = u² + 3u² & u = 2x Find d dx 8x(8x^2+3) (64x^3+30x) O 8x(8x^3+3) O 8x(8x^2-3) O

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Q: Shon in Question 1.a find your mista y= -2x + 1 y3 -2x +3 y 2. -

A: