Find mZR. 4/43 8-/43 R mZR

Q: z dz 2). S: 25+16z2

A: We can find the integration as below.

Q: 1 2.if [(fT))=, find [ f(4t) S

A: Laplace transform of the function

Q: Z'1z Where Cil21 ComflexAumber

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Q: fin (z° + 15z + 44)dz

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Q: - 4.9t tlut t600=0 t--14 士 + 4ベ49せo0 - 2<4:4 tz 12.59 tキーve

A: solution of quadratic equation is given by :when ax2+bx+c = 0x = -b±b2-4ac2a

Q: S √ + (25 +4z²)(z³ + 1)¹² dz

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Q: 5. St V1-t dt

A: We solve this integration by substitution method by putting                         1 - t3 = u…

Q: Find XQ if MQ = 3x- 3 and XQ= 2x- 6 %3D X. L. MN

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Q: 2y+8 2xe to %3D y10)=8= , yco= 2

A: I have solved by using formulas and series expansions.

Q: nas moved... 5 units to the left y = (x + 5)² y = x2 + 5 y = x² – 5 y = (x – 5)² Music off Zoom in…

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Q: 31. If 9x² = y(y – 3)², show that (y + 1)² ds - dy². 4y

A: We know that Given Firstly, we find dx in terms of dy

Q: Evaluste for 2: 0SIS1,0Sy s3. dr dy .

A: The sum rule of exponent states that ap+q=ap·aq. Use the sum rule of exponent to simplify the…

Q: 4) 8r dz dy dr

A: Solve the triple integral

Q: (5+2y)* dy

A: (6) Given- ∫-2-35+2y4dy To find- The value of the above integral. Identity Used- Using the power…

Q: 9. G. 61° %3D mGK %3D (9x- 22) (5x - 7)° mHJ %3D MHGJ = K 34° MGKJ %3D

A: As per the company's guidelines, we are supposed to solve first question for you kindly repost other…

Q: 2. / Vy² – 4y + 10 dy

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Q: 1. If (x and jy) = 3 + j8, find x and y. x = 2.40 and y = 1.67

A: According to policy we are allowed to do one question. Image is attached with solution.

Q: Right AXYZ with mZX XY = 12V2 Given: 45° and Find: XZ and YZ

A: Given a right angle triangle ∆XYZ and m∠X=45° and the adjacent length XY=122. To find XZ and YZ.

Q: 1. ř (t) = (3 – 4t) i + 6t j- (9 + 2t) from –6 < t<8. %3D

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Q: @3Dy+12 D3=24

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Q: 15 ven B = Find the components of -3 relative to B. 2

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Q: Suppose z varies jointly with x and y. If z=42 when x=3 and y=7, then what is z when x=7 and y=8?

A: Question is solved.

Q: 7. dz | zV 36z2 - 25

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Q: z· 3°dz

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Q: If the velocity of a moving object is v(t)=t-2/t^2 in meters per second, then what is its…

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Q: 2y*+1 dy 3

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Q: det (A) = 1. %3D

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Q: 1.) If z varies jointly and y= 8. as x and y, and z = 6 when x= 4 and y = 10, find z when x= 20 %3D

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

Q: 8. fz/25 – z² dz

A: Consider the provided integral, ∫z225-z2dz Evaluate the provided integral. Apply the method of…

Q: dr/dt = -2tr, r(0) = ro

A: Solving the differential equation

Q: 2こx+iy 2 Recz) =l 3-i1 if 121 =2, then

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Q: malie (x+ 1) to (+VZ x +1) (x-Vzx t1)

A: To express: The expression x4+1 to x2+2x+1x2-2x+1. Formula used: x2-y2=x-yx+y x2+y2+2xy=x+y2…

Q: 7. y Vzy dz + dy = 0

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Q: S (3x – 2)²dx

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Q: dx 10) √x²4(14+x²) a) - - - c) - 1 4X ㅗ 4x + 1 andan ²/3 + c autan 1/2/3 + c 8 I ondan 2/2 + c 8 j 8

A:

Q: Find dy/dr. y = esin 2x

A: We will use chain rule of differentiation to find the derivative.

Q: If z = x2 - xy + 2y2 and (x, y) changes from (2, -1) to (2.03, -0.95), compare the values of Az and…

A: The function z = x2 – xy + 2y2 and (x, y) changes from (2, -1) to (2.03, -0.95), we have to compare…

Q: dr = a(p- 1)(q-), dt

A: In this question, we solve the given initial value problem dxdt=α(p-x)(q-x)withx(0)=0.

Q: 2 dt t² +2t +3 18. Evaluate 8 dz z² +8z+ 25 20. Evaluate o

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Q: 2 m 2 m 2 m A VT B C DE F -2 m---2 m---2 m--2 m----2 m--2 m- 10 kN 20 kN 10 kN G

A: Given that,

Q: VZ (k=1)

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Q: ų (H)= - 2y, (t) + 24;(4)= Y,(4) - 2y, (t) +2t t 9,lFS +2

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Q: 4. y = vx + 2 x,for-

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Q: 4t 5t dt Jo

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Q: 39. If z = 5x² + y² and (x, y) changes from (1, 2) to (1.05, 2.1), compare the values of Az and dz.

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Q: Sulve for X olx-4/+5 =27

A: 2|3x-4|+5=27Subtract 52|3x-4|=22divide by 2|3x-4|=11 Now we remove the absolute sign , we frame two…

Q: 1. V1+ zdz

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Q: x²+|lx-35 =0 川+4(0-35) 26) -I| ± J961 12 12 1+ 30 Jud -11-30J6T

A: Topic:- algebra

Q: Find the extrema of (x+1)(y+1)(ax+by+c) Where a is the third last digit , b the 2™ª last and c the…

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Q: у" — 4y' + у %3D ex + 15

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.