Evaluate the following expressions given x = 3 and y = 6 : 28х — 6у а. 0.00 8 b. x3 + 6x + 19 = 0.00 (6x)° × 5y с. 0.00 8y d. –5x2 + 12x + 15y =| 0.00 ||

Q: (2a? – r2) dr = r³ sin Od0 ; r (0) = a -

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Q: If f(x, y) = 5y² – 7xy+ 14x, then is given by: - dy? O -4 O 17 O 10 O -10

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Q: (2у? + 4л?) da — rуdy — 0 - %3D

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Q: Evalnate the SSce'tzxy+j) dydx when SterSizeof x =0:2 and s óep sizcof y-o.8

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Q: x?y' = 4x? + 7xy + 2y² x²,

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Q: (トタりナーそJ0 on メou sqo とてラメテ0 'hらトラメe 1(h8)3-9 4 トtト×ピーメピ(トタ)さーそ ト×-メと -(ドメ)きーモ

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Q: S (2y-3) dy 2y ³-y²-27y + 36

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Q: Q1. Differentiate the following w.r.to x 5x+1 (iii) (Зх-2)2 (iv) tan?(-4x + 7) 4

A: To differentiate the following w.r.to x. (iii) 5x + 13x - 22(iv) 14tan2-4x + 7

Q: EX8-H.W)lt Xy Xq G CLIB) and +92=X++X Show that gz indや? X十メ2

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Q: Find y" il y= (r+ 1)² + VE when t= 1. O a.1.75 Ob.3.5 Oc.225 Od.2.25

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Q: Solve the following DE: (2xy? + 3x²) dx + (2x²y+ 4y³) dy = 0 O a²y? + 3x? + 4y³ = C O a?y? + x³ +…

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Q: Evaluate (3x – 2y) dA, where D = {(x,y) E R²| – 2 <a < 4 and – a? <y < x²}. D Submit an exact value.

A: As per the given data, the domain D is defined by the limits: x=-2  to  x=4      and      y=-x2  to…

Q: All are allowable values of x in y=(1/2)secx except. a. -2π b. π/2 c. 0 d. π

A: option(b) is correct

Q: y' = y – y?, y(0) = 0.4; y(0.5) (0.5) x 0.4329 (0.5) x 0.4282 (h = 0.1) (h = 0.05)

A: Given, y'=y-y2 y(0)=0.4

Q: find the value of so that ky'=3 at y =1- For --=1 x y O 12 3 O o

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Q: Evaluate the following. (Give an exact answer.) (x, y, 2) dS x² + y² + :2 f(x,y,z) : %3D x² + y? S:…

A: The value of the given integral is 64/9

Q: If æ?y + y³ = x – 1, then at (0,-1) is dz Select one: a. 0 O b.를 C.

A: Given,x2y+y3=x-1differentiating both the sides w.r.t.…

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Q: Show that S> 0.

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Q: Determine dz for z=flx,x) =e² x Chanaes from I to o,dá nd ifX chong om a2 to 2.02 changes オ

A: The solution is given below:

Q: dx Evaluate: V4-x² Tt/6 T/2 T/3 None of the choices

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Q: Evaluate the following: fo(5x²y³ + 3x) dydx a. b. ff ex+ydA where R = {(x,y)|-x≤ y ≤x, 0≤x≤ 2}

A: To find the value of given double integrals.

Q: Which of the following expressions are not valid? Why? (a) [ f* 1(x, y) dy dz [T (c) [[1(x, y) dy de…

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Q: EX:- Show that f dw = VE Terfcb) -erf ca] (ntb dw = E [erfcb) -erfca)] (ngby. Sol:- 9. ē" dw 2. Ff…

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Q: Evaluate: y6 sech(e™ny) tanh (e 7Iny)dy (A sech (y") + C -sech2(y7) + C 7 В -uch(7") + C (y?) +C D…

A: Given: I=∫y6seche7lnytanhe7lnydy   As we know from the logarithmic rule: (1). logaxb=b·logax, x≥0…

Q: Solve the following ODE 3t. y" – 6y' + 9y = t²et; y(0) = 0, y'(0) = %3D

A: Given The given ODE is y"-6y'+9y=t2e3t. y0=0,    y'0=1 Apply formula…

Q: ex iR Py, z)-0 fined diz H and x=2-4

A: We have to find partial derivative.

Q: Q4. find d?u by implicit deratibing when बुिए to d'y-

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Q: Compute for the following equation: ax x2 + y? + z? = 3xyz

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Q: 2) Evaluate | xy? dxdy D. where D: x+y² <2, x N 0.

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Q: aluate r dzdydz

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Q: If X-B(x; 10, 0.25), which of the following is P(2<Xs4), approximately? Lütfen birini seçin: a.…

A: From the provided information, Number of trials (n) = 10 Probability of success (p) = 0.25 The…

Q: • Which of the following is z when dz 3.r + 6y² + 4? a. 2 = 4x + 6y? + 4x b. 2 = a + 6xy? + 4.x c. 2…

A: Solution

Q: Assume that x=​x(t) and y=​y(t). Find dxdt​, using the following information.   x2+y2=2.92​; dydt=−2…

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Q: Evaluate Conditions. pum テ=(6)V:s「(4s te return

A: In 2 quadrant sinx and cosecx is positive. Otherwise, all other trigonometric values are negative.

Q: y"+ay'+sy= ーア e'sent y ro)=0, yto) = 1

A: Given differential equation is y''+2y'+5y=e-TsinT y(0)=0 and y'(0)=1 yT↔Ysy'T↔sYs-y(0)=sY(s)

Q: Which of the following statements is INCORRECT? (8x – 24) 40 (6x + 10) A. FE = 58 %3D B. DE = 58 %3D…

A: Topic:- triangle and it's properties

Q: preofs H.W-

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Q: dy Given y = 2u? and u = 8x – 1, then dx - 8(64x? – 2x + 1) 0 خيار 4 48(8x – 1)2 0 خيار 3

A: The derivative of xn is calculated using the formula, ddx(xn)=nxn-1 .

Q: = -4rt ; when t = 0, r = ro 1. 2. xyy' = 1+ y? ; when x = 2, y = 3

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Q: h/ fined exbrans Values a f RcXy} fitg)=3X=y+6 Subjeetel to %3D

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Q: If = =x - xy + 3y and (x, y) changes from (3. - 1) to (2.96, - 0.95), compute the values of A: and…

A: Given that            z = x2 - xy + 3y2 and (x,y) changes from (3,-1) to (2.96, -0.95). We have to…

Q: Simplify the following expression. de J (7? +t+6) dt (7t? +t+6) dt X d |(72 +t+6) dt = dx J

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Q: Which of the following is true? * f (x, y) = x³ – 2xy + 3y²

A: fx(x,y) is the partial differentiation of f(x,y) with respect to x treating y constant. fy(x,y) is…

Q: If x > 0 and y> 0, which of the following expressions is x-y ? Jx -Jy equivalent to

A: We will rationalize the denominator of the given expression to simplify it.

Q: Q1\ why xº = 1 %3D

A: PROOF OF X^0=1

Q: r(1,1) Evaluate Jo0) (3x“ + 4xy + ix )dz along y =x

A: The solution is given by using the parametric equation of the curve

Q: 2. Given y = 25e-2x verify that y' + 4xy = 0 Your answer

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Q: dy dr 4 - y (b) _ In(교2 + y? + 1) dr dy (a)

A: Evaluation of the double integral

Q: The DE; y' = 7V IS seperable Select one True O False

A: Simply first convert it into f(x). f(y)  form if it comes then it is separable variable