Y0 1 -1 0 3 1 -1 A = 1 1 0 B = C = -1 0 D = 6. -3 2 -2 Berechnen Sie: (a) C - 3. BT Ь) А- В c) A BT 2.

Q: How. salve the diff. cquh (4y-cosy) dyldx-3X2-0 7. 74/0/=0

A: Given problem:- Solve the Differential equation  (4y-cos(y))dy/dx-3x2 =0 , y(0) =0

Q: 4. Then we can write (x + jy)" as R"eme and go back to write the result

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Q: %3D Select the correct answer Oa (s-3) Ob 1 (s-3P Oc 2 (5-3P Od 2 Is-34 Oe 2

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Q: 1 y = - -x + 2 SELECT the correct answer. a) b) O a O b 近

A: Given function is : y = -(x/2) + 2 To get the graph of above function, we start with known function…

Q: sin Vr?+y? dzdy Vz²+y? Evaluate: 6' S O (V2 2) 8 (2–/2)= 4 (2-V2)T 8. O (V2 2)m 4

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Q: z-sinz Sco dz is -3 3 а) 0 b) – ni с) 2пі 2ni d) 7!

A: Given integral is ∫cz−sinzz3dz, where c is given curve, We have to evaluate the given integral.…

Q: -2 Ia +ja)Iy -Gj2) Is -0 ー12 + Iイ= eq'n 1 eqin 2 -212+I3 t I4 +I5 =o--- eq'n s J,-2I2 =6 I,- Ia=5 -…

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Q: dxdydz Evaluate 'V1-x? NI-x²-y² V1-x2-y?-z2

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Q: O Find a, b to Continue The Punction at *=3 if aX+b flx) = 2a-b+1 X= 3 ↓ 6メ-a+3 x<3 Dirc

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Q: Q10. Im(iz) = a. Re(iz) b.-Re(z) iz+(-iz) C. d. Re(z) 2

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Q: 100 - x2 - y2 dA where R = {(x, y) I x? + y² s 100,. {(x, v) I x² + y² s 100, x 2

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Q: Next C nd he mat AD, II 3 A = 4 -2 B = 0. 0-2 4 ..... O A. 0 4 Ов. -8 16 0 36 -8 Oc. -8 -18 OD. - 18…

A: Matrix multiplication

Q: (2st +t²)ds – 3s²dt = 0,when s = 1, t = -1 8st³ = (s – t)² o s³t = (t – s)* o 8st3 = (t – s) o t =…

A: To solve the given differential equation problem.

Q: tane de sece 4 Q10 3 7 a) 2-2 b) (2 1) c) 24-2 d) (2 -1) 1/3 1/5 5/4

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Q: implicit diferentiention for : 2n?+y = goay ts (I,I). 2x3 442-2xyこ4 (2r-3x4+) とy to 611)2- 12 iい)+w…

A: The given equation is 2x3+y3=2xy+1.

Q: C is given by x = 4t and y = 3t, where t runs from 0 to 2. Evaluate (y/x)ds 45/2

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Q: f (x, y, z) = x4 – 6xy? + 72% - (x, y, z) → (0, 0, 0)?

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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: ,-(ax²+2bxy+cy²) dædy = e (Hint: Let s = x+By and t = yx+8y, where (ad – BY)² = ac-b². Then ax?…

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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: 2) Maria wants to fill a cylindrical pool with waterand uses the expression rr"n to determine how…

A: 2) The given expression is πr2h and the values are π=3.14, r=1012ft, h=425. Determine the value of…

Q: (2st +t?)ds – 3s²dt = 0,when s = 1, t = -1 8st3 = (s – t)? s³t = (t – s)* %3D 8st3 = (t – s)³ o t =…

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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: Find ATI, IA21, |AATI, |2A|, and |A-1. 0 4 A = 1 -1 3 6. 25 (a) |AT (b) (c) |AAT (d) 12A| (e) JA-11

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Q: e: 9 (-3y/4)´ (2y'/3), so your answer is in the form ay. SO

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Q: a2f_ If f(x, y) = xe?y + 6xy, then is given by: dydx O 2xe?y + 6 None of these e2y + 6 2 xe?y + 6 2…

A: We have to find the derivative

Q: Q3) find tne u bait ve ctor Pointing for ACe,3) to the (0,0)

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Q: z+2 dz I cot (z?+4z-3)

A: ∫z+2cot(z2+4z-3)dzSubstitute u=z2+4z-3→dudz=2z+4→dz=12z+4du=12∫1cot(u)duWe know that…

Q: Q4 It f(ay,2)=ye frd の2上1 242 find af b) 'cい,0

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Q: Q4: Answer two only: 4 2 (A): If A = 2 l-2 Find AB and AC. 1 -1 01 0; 1 2 B = 2 l-1 3 1 -2 -2 and 2…

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Q: Q.6 Show that: B(x-1, y+1) = B(x, y) y

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

Q: a b 97° f 6, in the image, Ze S Zg, therefore, m||n. in the image, Lc and Ze are supplementary;…

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Q: (b) y = e², [Hint: Use the substitution u = v1+e²=]

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Q: 44. г(t) 3 (2t%)/2, t3), for 0 < t<2 %3D

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Q: dy Find ax if y = V6+ secnx² %3D O 1) nx(6+ tannx?)-1/2secTx?tannx? O 2) nx(6 +…

A: We are given y=6+secπ x2. So,            dydx=6+secπx2'      =126+secπx26+secπx2'      =126+secπx2·…

Q: 5. Simplify (a) + = 2+zyty (b) (w - y)(w+ y) = w² - y? (d) (z+y) ry-yz

A: (a) Given equation is  xy+x+1x=x2+xy+yxy LHS: xy+x+1x=x2+xy+yxy =RHS

Q: y“+ 3y' + 2y = 0; y(0) = 0, y'(0) = 1 %3D Select the correct response: O y = et - e-" O y = e' – "…

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Q: dy when t =7. Evaluate xp y = 2z? - 3z +5 x = 4t' +t t= z? +z+1

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Q: The 3. 3. an trz dz C: 21 = ans = dz, C: Iz-il=115 ans? -4isinh

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Q: d²y If dx2 -n?sinnx , (y" = 0,y = 0 when x = 0), then: %3D

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Q: - (3x + )*. Let y Then - A(Ax + +)" (8 -)", where B dy = Al 8x + xp A = B = C = D = I| || ||

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Q: A 33 are 4x4 Martrices, det(A)=-3 det(B) =5 a) de t(A = ニ detA b) def (AB) (-3)(5) = -15 Ò def GzB)=…

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Q: Q3. If |z| = 5, then: z 3| Iz +2l 8 C. d.: a. b. VI 2I7

A: The given question is solved below with explanation.

Q: 1. If y = kVx and y = 180 when x = 36, b) What is y when x = 9 ?

A: Given that, y=kx,when x=36⇒y=180.we have to find the value of y when x=9.

Q: 23 –10z+100 Find - Sc dz, where C is |z|=2 (z–i)? Answer: Find Ja 2 11a, dz where C is [z| = 2…

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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: M/I R = 1/4 R=1 0.55 reten ✪ r=0.5cm 1

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

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Q: y dy Find 13 using the substitution +5=√y+2. √y+2 A ²/ (√x+2-5) (5√/y+2-y+24) + C 3 B (√9+2-5)…

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Q: a. --248 c. 2.43 d. z = -0.89 z = -) f. 03 z = -2,3 h. z = 1.78 i. z = -3.05 j. z= -1.01

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