(J2,8.64). (- 2. –0.78) 137 (o)(-)

Q: Let f(z, y) = zy-y+a?. D.((1,2) =? where u=. OA- O B. -37 Oc- 37 OD.

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Q: Find r'(t).

A: We have to find r't: rt=4ti+t2tj+lnt2k We know that dxndx=nxn-1d lnxdx=1xd lnfxdx=1fxd fxdxdxdx=12x…

Q: S (2y-3) dy 2y ³-y²-27y + 36

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Q: Find the convolution between x(t) = 2 rect and h(t) =rect() %3D

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Q: Using the Northwest Corner Rule, what is the initial value of z? O a. Cannot be determined o b. 167…

A: Transportation problem is the method used in operation research. And is a special case of linear…

Q: 6 If x=25eco, y=4tan8. Evaluate dy where B= Lrad Ans/-0.2647

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Q: Fird the inversc trons frm of ; F (5) = sz+ 25

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Q: 2. Evaluate f. (y²dx + x?dy) where C is the triangle with vertices (1, 0), (1, 1), (0, 0).

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Q: Q.1B) If w = f(u,v) where u = tan"12 &v=In(x² + y²), the show that: dw Х- +- дх дw dw <-2- ду ду

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find F(s). F(s) = £{t(et + e5t)2}

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Q: State fuo oer femnme egual JF.T ds gimn fow line into f.T ds givern that

A: In this question we have to find two other form of line integral.

Q: 5. Show that T = + y? satisfies the equation T + Tyy = T³

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Q: Q2: Prove that: d csc-(InVx) dx -

A: The main objective is to prove ddxcsc-1lnx=-12xlnxlnx2-1. It is known that ddxcsc-1x=-1xx2-1.

Q: y T R 3 U Ox = 3; y = v9 Ox = 27; y = 9v10 Ox = 3; y = 3v27 O x = 27; y = 3V90 O Type here to search

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Q: E is the portion of the ball x +y +2 s9 that le NOTE: When typing your answers use "rh" for p. '

A: We have to find the following given conditions according to the given information

Q: Let (1-t)y +ty -y= (t² – 1)e*. %3D

A: Reducing it into standard form, we get, y''+t1-ty'-y1-t=-t2-11-tet⇒y''+t1-ty'-y1-t=-1+tetHere…

Q: Determine the dimensionalitics of all the irreps of D4 and D6 where De D3 x C2

A: We will use the basic knowledge of irreducible representations of finite groups to answer this…

Q: What is the domain of r(t) = e'i + j+ (t + 1)~³k?

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Q: Q3 Evaluate fII, xyz dxdydz, 3 < x < -2,0 < y < 1,0 < z S.

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Q: - If y = e3x and y = e-3x , prove that: - %3D d²y 9y = 0 dx2

A: Given: y=e3x⇒dydx=ddxe3x⇒dydx=3e3xNow,d2ydx2=ddxdydx       =ddx3e3x       =3ddxe3x       =33e3x…

Q: EX: Verify that z= I+ V3i satis fies the 2. eq.

A: the given equation is z2-z+1=0 given the value of z is z=1+3i2 substitute the value of z in the…

Q: dz where c is |z=1 z'e? Evaluate

A: ∮ f(z) dz = 0 when no any singularity lies within region of integration. But if any singularity lies…

Q: ize P= 3z + 4y E to 21 + vS 16 27+ 3y S 24 z20, v 20

A: Introduction: Linear programming is the most basic method for optimizing a problem. We can use this…

Q: d²y Given that x3 + y³ = 2, prove that 4х %3D dx2 y5

A: Given problem:-

Q: *Pivd the general Seltion to the

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Q: 2 calculate J= e dyok 2x

A: Given integral :

Q: Differentiate. V(t) = (t + 7e')/t %3D 3 7/)eIn(e) + v7 * V'(t) = 2

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Q: d²y Given that x +y³ = 2, prove that dx2 4.

A: Given: x3+y3=2   As we know that; The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2

Q: +3 fn d the deivotive of this funckio slape of the tonpent On d the line ot (4,1).

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Q: Aet statyested that PON fghle v wi the nest presintenS 0 v e rand ptaton of a e voen probatity tha…

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Q: What does dr stand for in terms of r(t)?

A: Given: What does dr stand for in terms of r(t)?

Q: Prove that c?p?-(jx² + jy²+jz³) is the invariant quantity equal to c?po?.

A: Consider the provided question,   Prove that c2ρ2-jx2+jy2+jz2 is the invariant quantity equal to…

Q: d²y Given that x3 + y³ = 2, prove that 4x dx² y5

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Q: - show that; L-1[e¬v$] = e %3D 2tynt

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Q: S dy ² + 4y+20) ²

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Q: f(z) =e? is contiuous in C

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Q: 2. For what value(s) of h, y belongs to Span {v1, v2, v3}? Where 5 -3 V2 = -4 V3 ,and y = 3 h

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Q: O show thet fu) =2a +3b is Candin Uous where a, b are Constants.

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Q: %3D 23. f(x, y, z) = 2x + z? subject to x² + y? + 2z? = 25

A: Lagrange's Multipliers: The Lagrange method is used to maximize or minimize a general function…

Q: Use Example 4 to calculate -(r x r'), where r(t) = {t, t2 , et)

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Q: Find the imaginary part of the analyhc funckon,whose real part is : sxy? 3x²-34?

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Q: b) u(х, у) on the domain 0 < [z| < ∞. x² + y? Why is v(x, y) single-valued in b?

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Q: te² i· k) dt V1 – ? 40.

A: Solving by definite integral we have

Q: A- If y = e3x and y = e-3x , prove that: - d²y - 9y = 0 - dx2

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Q: 2. V9 – y?, y = 1, y= 3, x = 0, about the y — ахis -

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Q: For the data shown to the right, determine the linear coffe sing ule 210 a. Use the definition r=…

A: x y x-xbar y-ybar (x-xbar) (y-ybar)   3 5 0.8 3.2 2.56   5 6 2.8 4.2 11.76   2 1 -0.2 -0.8…

Q: Suppose A = xy" where x, y e R". Show that ||A||2 = ||x||2||y||2-.

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Q: (b) Compute f er+uds, where c(t) = (t, 2t), t e [1, 2]. %3D

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Q: Determine the order of the DE. а) y' + у %3D 5у? b) = t dy dt c) y' = y" + 5t2

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