Let z = - 10 + 6t. x=D, y=D, z=J (Type expressions using t as the variable.)

Q: ) Eliminate the arbitrary umstants of y= C, + C2 e ** + C3 e 3x

A: The given equation is y=c1+c2e2x+c3e-3x. We have to eliminate arbitrary constants c1, c2, c3. Since…

Q: Please draw and make a short explanation about of this pmf : p(y) = 1/(y+1) for y = 0, 1, ..., 6.

A: Given : Equation : p(y) = 1/(y+1) defined for y = 0,1,2,3,4,5,6 The following graph is obtained

Q: let x~ exp0), find B.C.R to test Ho: O3 against H,: 0 2,if4, ds o.05,

A: Exponential distribution: Here, X1, X2,,…, Xn, are iid (independent and identically distributed)…

Q: If u = a + j13 and v = -11 – jb, calculate Im(u + v).

A: Add the two complex numbers then write the imaginary part.

Q: Q4) If VZA = |, such that AAT = 1. Find x? %3D %3D

A: Given that 2A=1-1   -1xT  such that AAT=ITo find x:

Q: |u| ≤a is equivalent to __________ .

A: Given |u| ≤a is equivalent to __________ .

Q: Find for w = , x = 0', y =r+ 0, z = r – 0 2r2 27 2r 272

A: Given query is to find the derivative.

Q: Given f(x, y) = 12/8x* + 6y + 2xy°, find fa(x, y) = f,(x, y) =

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Q: Show that if (xig)m.u. is re<rz , it is 8\x,r) C Blxirs] for Jx EX.

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Q: If $ = 2xy?z + x²y, evaluate $ dr where C 3 from

A: Given, ϕ=2xy2z+x2y, We have to evaluate ∫Cϕdr where C(a) C is the curve x=t, y=t2, z=t3 from t=0 to…

Q: Show that for all formulas Y, Þ,0 € S(P), (y = 4) = -(4 ^ ¬b).

A: We need to prove that, φ⇒ψ≡¬φ∧¬ψ Now, constructing the truth table, φ ψ φ⇒ψ T T T T F F F T…

Q: Given f(x, y) = 12/8x* + 6y + 2xy°, find f. (x, y) = f,(x, y) =

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Q: Let A = {x E Z: 8x} and let B={rEZ:12lx}. Then * ACB ВСА None of these A=B

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Q: Use parameters found using desmos to determine which model Hld 9. fox) 5. 11 18 26 35 y 3.4x y=…

A: The given data is,  x 4 5 6 7 8 f(x) 5 11 18 26 35

Q: dz Evaluate J 5z+2

A: Given: I=∫dxe-5x+2 For evaluating given integral, in given integral we substitute e5x=t…

Q: Given F(r, s, t) = r(3t° – 6s*), compute: Frst Submit answer

A: The partial derivative of a function f(x,y,z) with respect to x is a derivative of f(x,y,z) with…

Q: メ= tos t Consider ? y=seet+1

A: Parametric equation: - A parametric equation is one in which the dependent variables are defined as…

Q: Let cov(X,Y) = var(X) = and h(y) = }* (4y, 0<y<1 %D %3D 45 45 elsewhere Then the value of var(2X +…

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Q: C State two other ways to name Zm. U S

A: Given diagram is :                                           From diagram angle ∠m can be written…

Q: Let f (x, y, z) = -12x? – y + 5z?. Calculate Vf (0, 5, 6). %3D (Write your solution using the form…

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Q: Let f(x ,y, z) = x²yª + z³ and x = 4s?, y = 2st?, and z = 3s?t. %3D %3D

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Q: de 20. J 90² +120 +9 (3y– 2)cy 24. Jy² +2y+17

A: To evaluate the given integrals.

Q: If u = a + j13 and v = -11 – jb, calculate the value of Re (4).

A: Topic = Vector

Q: lo Prove that. Ax.CBx= (A.C)B. (A.B) where..As.a,it.azj.+a3.k t..

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Q: If u = a − j20 and v = 6+ jb, calculate the value of Im (1).

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Q: Q7. V(x, y) = x³ + y³ and x = 2t +r,y = 2t – r , what av? is ? ar

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Q: ex g. y = In ex-1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: which property is t=u+v u=9 and v=10 therefore, t=9+10=10

A: According to this property, when two numbers or integers are added, the sum remains the same even if…

Q: (c) Show that |(−1,1)| = |R|, where (−1, 1) = {x € R : −1 < x < 1}.

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Q: S g find Ju u and av Write the anuser in terms of U ty D Using the chain rele and V 2 to

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Q: Given f(x, y) = 4/32° + y + 8xy³, find f.(x, y) = f,(x, y) = |

A: Find the partial derivative of f(x,y) with respect to x to find fx(x,y) . Find the partial…

Q: xy Let z . Then: 4x2 – 5y? | az dz ду

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Q: Let I = S (8x + 10y + 4+ 12xy) dA where R = [0, 1] × [1,2]. R Find I

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Q: А — В Given that A = 3+j4, B = -5230, C = e¬¡m, determine:

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Q: Determine a,î xb,j = a,b, G × D %3D а. a,by b. zero С. d. a,bz

A: As we know that cross product is given by i^×j^=k^j^×k^=i^k^×i^=j^

Q: If u = a+j13 and v = -11- jb, calculate Im(u + v).

A: u = a + j13, v = -11 -jb

Q: Find (t), given 7(t) = (- 2 In(5t), - 5/5t, – et). %3D F'(t) =

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

Q: If f(s,t) = 2scost + 3tsins, find ,.

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Q: Evaluate Js I | ix, v, z) ds. Ах, у, 2) - Ху S: z = x2 + y2, 9 sx² + y2 < 81

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Q: Let f(r, y) = 2ry +3x?y2, then fry

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Q: Je 03. Find and . If f(x, y) = 2e* + Iny2 ,und x = 21 + r, y =: %3D r+1

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Q: Consider f (x, y) = re63ry f-(x, y) = e63ry and fy(x, y) = %3D e63ry

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Q: (a) What is the behavior of V(r) as r→0? As r-0, V(r)→ O What is the behavior of V(r) as r→0? As…

A: Given that, the function is Vr=1r6-Ar3. Find the behavior of Vr as r→0 as follows, Apply the left…

Q: Evaluate the convolution between h(t)= e2u(t), and x(t)=2u(t).

A: From the above details we have,

Q: If z f(x,y) and z - y? = 6x?y°z? Find:器,需 and dz

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Q: If x = t² and y = t³, then y O t O o O 3/4t O 3/t O Other: =?

A: In this question, we have given the values of x and y in the form of the variable t and we want to…

Q: If u = a + j13 and v = –11 – jb, calculate the value of Re

A: Given that u=a+j13 and v=-11-jb. We need to calculate Re(u/v)