-i The point z=- 3 lies 5 z -5+ = 4° %3D | 3 inside z-5+- 4° %3D |--s+|=: inside z-5+- 2 outside N-5+

Q: 4 sec* 2ydy tan2y tan2y

A: The given integral is I=∫sec42y tan 2ytan 2ydy To solve this integral use this substitution, Let…

Q: Find y" of 4x2+9y2= 36

A:

Q: 5 Suppose that c· 4 ( +d• -5 Find the values of c and d. c = d =

A: It is given that Suppose that

Q: d) у 3 4x° -5х* + 6х -2 to x* e) (x) - (х- 2)(х* +9)°

A: Given: d) y = 4x5-5x4+6x-2x4e) f(x) = x-23x2+94 To find: The derivative of the function.

Q: (b) d = 3i + 2k b = 4i + 4j – 2k C = i – 2j + 3k, d = 2i – j+ 5k Compute (d x č). (ā – b)

A:

Q: 3. . хр x*dx V(x2-9)3

A:

Q: If LEFH= (2x + 2)° and its complement LHFI = (x+1)°, then what is the value of x?

A: If two angles are complement of each other,  then sum of both angle is 90°.

Q: Which expression is equivalent to x°y (x- 16)- 9(x- 16)? (1) roy-16x°y-9x- 144 (2) (y* – 9)(x + 2)…

A:

Q: (x° – xº) (1+x³)5 Evaluate dr; Use B(m, n) = dr (1+x)m+n

A: Using the given result and

Q: 35. Solve this auxiliary DE y"" – y" – 4y = 0,when x = 4, y = 0

A:

Q: 3 1] -1 2 If A = show that A² - 5A + 7I = 0. %3D %3D

A: Introduction :We have given a matrix A. And we have asked to show

Q: 2=Cメて+x -x2 Using Cramer's Rule メメt10n- 3xx=5 %3D

A: Solution using Cramer's rule is given as follows :

Q: 12) F 750- ? D

A: Solve the following

Q: 11. Simplify. Write the answer in standard form. * (4a – 8a – 4a) + (7a -7-6a) | 11a - 4a - 14a – 7…

A: Given 4a3 - 8a - 4a2 + 7a3 - 7 - 6a

Q: Multiply: (5x'y*)(-6x"y*) b. (4x²y'z*)(2r°y°z*). a.

A:

Q: 3(x-5) = 1 %3D 27 3. 3. 3D 3 = 3 X =

A: An exponential function is a one-to-one function. So if we have ax=ay then we have x=y. Solving an…

Q: Evaluate , 2° +x* – 2,³ + 2x² + 1 (² +1)(x+ – 1) 5 4 2x° + 2x + 1 dx

A:

Q: What is fxe- dx ? -x Oxe xee+C Ox²e-2x 2 + C X -xe-* — e * +C x² e-x 2 + C

A: Consider,

Q: can you expline this step

A:

Q: Find the value of (x + y) , if | x +- + y x2 3 II

A:

Q: #6. Find 2²+3 (2-4) (2+i) §. #7. Find §- 211 Z(Z-3)² dz dz where C is 121= 2/2. where C is 12-31 =…

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Q: 3. Consider the function f(t) = 2t? – 3t + 7 on the interval –1 <t <1 with periodicity P = 2 Give a…

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Q: valuate 2r +c + D.

A:

Q: 7) -U(X-2)(x+3)" (5x-1)(7x+ 2) 3х+13 6) 57 In7x+2+c) (ans.: In 5x 2х -3 7)Sー (ans.: -Im,x-1+ Im,x-2-…

A: ∫1ax+b dx =1alnax+b+C Note :As per our guidelines , we can solve first question .Please repost…

Q: a?b³ xa³b* (a³b³)2 (x²y)ª x3+ay-1 xªy2a x2a-1 (ab²)¯® x(a³b?)² (a°b2)-

A: We can answer all the three question with proper steps.

Q: A) в) (2х)5 . (Зу)5 c) (ба)6 (20)6 y°

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: 1. (t. xp- 2x 1 а. 3 /x. + C b. (1+x)³ + C 3 X + C с. 2x(1+x) d. None of the above

A: Given integral is, ∫1+x2xdx.   It is integrated as follows:   ∫1+x2xdx=∫1x+2+xdx

Q: (D² + 6D + 7)(D3 – 5D² + 6D)y = %3D

A: