dt 1). - 16-9t2

Q: -2 -3 Q3) Find JA| Where A =1 0 1 1 -1

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Q: b) Show that z, + z, = z, + Z, . 2

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Q: 2) xe-X dx 0. A) -Se-7-1 B) -8e-7+1 C) -6e-7+1 D) -8e-7

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Q: I. Find A + B, where a) A = 1 0 41 b) A = 1-1 2 2 1 L 0-2-3 J -1 0561 L -4 -3 5-2 J [-13 3 5 1 2 2…

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Q: 5. Determine the combination V x (Vf) given that X" + y"

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Q: ² 2y 20) 2.xy

A: Let's find.

Q: 5) Solve for x. 2Vx + 2 - V3r + 4 = 1

A: In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol…

Q: 8) Write y-1= -(x + 4) in 3 standard form.

A: Given query is to write the equation of line in standard form.

Q: .3 , Ry* In y dy

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Q: x – 5)² + (y + 3)² = 25 -

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Q: 2. Using the fact that (AB)¹ = B-¹A¹, show that (ABC)¹ = C-¹B-¹A-¹.

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Q: , provided

A: Given that,f(x)g(x) The above statement will be defined only when g(x) is not equal to zero for any…

Q: 4 (2+ VT)5 5. Calculate 0.

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Q: 5V2 + 6/64

A: We need to find the solution of 525+6645

Q: FCX)=10+x FC2)

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Q: 2. (3x+5)+(2x – 3)

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Q: 10) Prove the following statements true or false: i)āx(bx?) = (āxb)xã, ii)(a + b)x(ã − b) = 26 xã

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Q: ,3), calculate the value of a it the

A: We have to find the value .

Q: 6). Solve xdy- yk -0 x +y* xdx + ydy +-

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Q: 3. Consider A={m,a,t,h}; C={x:x=3n,1sns4,neN}; B={s,t,e,m} ; D={x:x=2n,15n S6,nEN} What is ANB?

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Q: Show that AB = O, even though A ≠ O and B ≠ O.

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Q: Find L - (8+3)3] 7 12 O 9t%e-3t O 6te3t O 6t?e-3t O 6t2

A: Use property of inverse laplace transform

Q: Compute: 33

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Q: Compute det B4 where B = det B4 202 2 2 3 222 = (Simplify your answer.)

A: Given query is to find the determinant of the matrix.

Q: 2 dt J vt Vt + 4t-

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Q: Evaluate. 2 dt 3+t 2.

A: Using definite integration.

Q: Compute. -4² +4(4)² O-47 O 47 O-48 O 48

A: Solution:  Given,  -42+ 4(-4)2 According to the BODMAS rule, we need to solve brackets first…

Q: 3.) 글d +5=10

A: Given that,23d+5=10 Multiply the equation with 3 implies, 2d+15=30 Move the constant terms to RHS…

Q: 14. Find mzDHG. (9x + 3) E D 'F (14x- 27) O Gina W

A: This is a problem related to geometry and angle calculation. Based on the general formula and…

Q: 3) y =-1+ 3cos 0 T元 3元 2元 5元 3元 一2 不一2

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Q: 2. (X +m)²

A: This is a improper integral. Here we use the limit to solve the integration.

Q: Find the center and radius of each circle.

A: Center is (-1,-6) with radius 4

Q: is where mu an mt

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Q: .2 1 0, Jo 0/ a² +y? + z2 fipxpzp?

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Q: 34. 2t t² + 2t + 10 S dt

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Q: Eliminate the arbitrary conutantu 2. %3D y= ax + be

A: