Which of the following expressions are equivalent to ? Choose all that apply. O A. 2 В. (x² - v) (x² - y°) O C. (x² - y³) (X +y³ D.

Q: Find fe Sor weXナzXy X-2モ,y=3し

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Q: Given, y(1) = t²e", 0 < t < 3n Find the value of r(1). -T IT

A: We know that eit = cos(t) + i sin(t) Cos(π) = -1 and sin(π) = 0

Q: If X ~ Poi(); then P(x 2 4) = Select one: a. 0.098 b. 0.954 c. 0.759 d. 0.047

A: Poisson Distribution :  The Poisson distribution is used to model the number of events occurring…

Q: Given that APQR is similar to AXYZ, XY corresponds to A XZ С PR R- B PQ O QR X

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Q: 30.) Show all steps to evaluate by hand: dA where R (rectangle) –1 < x < 1 and 0 < y < 3 y2+1

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Q: C²D$x = T³K E*R Y %3D

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Q: x = t', y= t² – 2, 0 <t<3 = t? – 2, 0 <t< 3

A: We have x=23t3y=t2−20≤t≤3

Q: Refer to the figure below. Find a - b + c. x' - ()*+ (): x(0) - (G) Answer : X = a() te" 4et X(0) =…

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Q: V(1 -1) (1 -1)(I – ') = 21

A: You must know these formulae before solving this problem:

Q: Find the values of x and y. (12x − 4)° R (4y)° U (5y)⁰ T SA

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Q: 2. Use the figure to find the values of x, y, and z that makes ADEF ~ AHGF. 25 16 X-5 F Зу H. 14…

A: We need to use similar triangles formulaes to solve this question.

Q: iS (2) = (x + ay² – 2xy) + i(bx² – y + 2xy) is anal ytic, then the values ofa and b is

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Q: То evaluate y?csc?(y³) cor2(y³)dy, we let u =csc(y³) A True B False

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Q: Find Duf at P. f (x, y) = 3(4 +xy)2; P(4,3); u = 1 i+ j NOTE: Enter the exact answer. Duf

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Q: Guen F(x)= 4sin? (x), write the equaton ok the live tanjut to y=F(x). when x= 7r %3D 4.

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Q: What is y if y= x when x 2? Oa.-1/4 Ob.3/8 Oc 1/4 Od.-3/8

A: According to question,Given function,y = x-2

Q: 2- Pind fxx, fr and fxy for the following: 1,6+,メ)レ7 f = tań'c tan cx +y) f = e C。s(メ-y)

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Q: Select the answer that completes the statement: y = ln x ifand only if_______ .(a) x = ey(b) y =…

A: Given, y=ln xOr  y=loge x

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

A:

Q: Find partial derivative.

A: We use product rule to find the partial differentiation.

Q: -1 ez 0, Ğ So So** 12x zdydadz=? O a. 2 O b. 1 O C. -1 O d. -2

A: We have to choose the correct answer from the given options

Q: xy + 3y? and (x, y) changes from (3, –1) to (2.96, –0.95), compare the values of - Az and dz.

A: Given; z=x2-xy+3y2  (3,-1) to (2.96,-0.95)

Q: Select the answer that completes the statement: y = ln x if and only if ________.(a) x = ey(b) y =…

A: The given equation is y=lnx.

Q: Consider the following. 317T 6 (a) Find the reference number i for the value of t. (b) Find the…

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Q: secx = -5, <x< TT, then cotx =? Select one: a. cotx =2/6 9. b. cotx= 12 9, c. cotx = 12 d. cotx =…

A: option B is true.

Q: xỉ + yj+zk. If ū

A: In the given question, the concept of curl is applied. Curl Curl is a vector operator in…

Q: 3. _1ffx,y) = tan—1 (), then X c) (x2 +y2)2 is ܐܐܐ )b ܐ)?x +y(

A: The given function is fx,y=tan-1yx. Find the value of ∂f∂y. Here we use the following formulas -…

Q: b) 1 -dr+ 1 -dr = In a, V9+ 4x? Given that find the exact value of a. V16+9x? AD (7

A: Given:I=∫01 dx16+9x2 +∫01 dx9+4x2=ln aTo calculate: Find exact value of aFormula: ∫dpp2+b2=ln p+…

Q: Given T-1 = (2 + y)i + (x – 3y)j what is the value of det T|? 07 O-7 O 17 O -1/7

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Q: Find Duf at P. f(x, y) = 3(1 + xy) 2; P(5,3); u = 1 i+ NOTE: Enter the eract answer. Duf 62

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Q: Explain the geometric meaning of r'(t).

A: Let the function is given as ,  rt=ft, gt, ht The derivative of the function is, r't=f't, g't, h't…

Q: The statement g(x) dx = S" g(y) dy is, A true B. false C. sometimes true D. neither true nor false

A: To Check : ∫abg(x)dx=∫abg(y)dy is true or false

Q: 3- D)y ex+ ex X (В)

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Q: Write the following equation in the form w = u(x,y) + iv(x,y) h(z) = (3z + 2i) / (2z2 + 4)

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Q: 3) メo 4-2 find x t Y :

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Q: |(-x*) (ix) -(-y (ix) Q.1: Simplify then find AB , BA where: A = B =

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Q: If f(x, y) = 7x + 3exy, find the following (a) ax? (b) ду дх (c) Әх ду (d) ay? II II

A: we need find first and second partial derivative

Q: 1. X? + (y-r)² = r? 2. y=tan(x+C) 3. Y=C,x? +C2

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Q: b) Given 3+ j4 = ( + jy)(1 + j) Find a and y, where a and y are real numbers and show your answer is…

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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: Toprove dp x+ Pfz +レFz dz -fp

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Q: and..z -t t. . . Se.. a...Z. .....

A: We have to find partial derivative by using chain rule.

Q: Question attahed in image

A: Given: Degree of freedom is, df=9. P-t0≤t≤t0=0.99. The objective is to find the value of t0.

Q: Rewrite the equations so that the coefficant on x is postive.  a) y=4cos(-3x- pi)+5 b) y=4sin(-3x-…

A: Consider a) y=4cos(-3x- pi)+5

Q: :Q2 / Find 1) A x B. 2) Angle Between A and B. if = 3i + 2j + 4k = 2i + 1j + 6k A

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Q: a is the value that will make the equation exact. Fincd 2a -a?. 2xy3- 3y - ( x tax²y² - 2ay) y'• O

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Q: a b. 1. Show that det ad – bc when a = 0 & c d ad – bc + 0

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Q: dy+ydx=Xcasx-dx-

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

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Q: (c) y = (tan r)

A: A detailed solution is given below.