d given the following: Sy = u² + 6u – 2 u = 4x² + 8x +1 %3D

Q: (I'o67 =7 %3D 2. of

A:

Q: b) Evaluate UTM L{t*e=# 6(t – 2)}. UTM

A:

Q: y = x lnx,  [1,2]

A: MVT conclusion for point ‘c’ is

Q: Evaluate (423 + 3y? + 2z)dV B = {(x, y, z) | 0 < æ < 3,0 < y < 2,0 < z< 2} .

A:

Q: 4. J da 4 4 (a²-3)

A:

Q: 20 y = g(x) 10 0 20 35 stooral by interpreting it in terms of arosc X O

A: Area above x axis is positive area below x axis is negative

Q: s(c^~q) -C S(-avr) rp a-

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: ydy 3. Jo (a2 – y2)z

A: Topic:- integration

Q: 4x+1 A 29 а 7 b 8 C 7.5 d None of the above

A:

Q: P* +6y = é", dt

A:

Q: Find L{t?e-4t - e-2tsin (v2t)}

A:

Q: 1. y'= exp (2x - y). ANS. 2e" = e²2x + c.

A:

Q: find the antiderivative: 2/5 csc^2 (x/5)

A: The given integral is,

Q: 17) x = In(9t), y =e9t, t>0

A:

Q: (e) ze+iz z²+ a² ne

A: Given the complex function is ze+izz2+a2. Determine the nature of the singularity and the residue.

Q: G 76 H 7x 5x 8y I y = %3D

A: Som of opposite angle of quadrilateral is supplementary

Q: Find the Iimit Jax-y (1)g)> (3, d) e

A: We need to evaluate the following multivariable limit limx, y→3,2e2x-y

Q: Evaluate L{3e−2(1−t)+t3e2t+2t2sinh(2t)−4e−2tcos(π−3t)}

A:

Q: Evaluate [R(5xy + z²)dV, where B = [-10, 10] × [0, 1] × [0, 10]

A:

Q: d (d) a b d dx 2 3 4

A:

Q: Show that

A: R2=span3-2,01

Q: Solve

A:

Q: Q1: Evaluate Sx V8 – x³dx

A: Evaluate the integral  ∫02x8-x33 dx

Q: (ii) 4.xÿ + 4ÿ + y = 0, Va = z.

A: Please check step 2 for the solution.

Q: メe %3D find df 4 メ=ら トメ %3D 3.

A:

Q: Find the Hc F of Y and s s-t Hcf (81,35) 81 ancl 35 and find = 21Y+355.

A: HCF of 21 and 35 can be found as follows:

Q: E. Find x²+y = 4 %3D

A: x2+y2=4

Q: S XP al dv (v-1) (v +3) (v-Y

A: We are asked to evaluate the integral.

Q: 5x3 – 10x Simpson's sult of the

A:

Q: 3 | (16t³ – 9t² + 7)dt Evaluate:

A: Given problem:-

Q: R2! salve the following D.Erusingundeteminel Gefficints qrvaniation of Paranmatels リー5×

A: By method of undetermined coefficients the solution of given differential equation is given as…

Q: S Vx#dx = Select one: O a. Vx7 + c O b. Vx + c O c. V + c O d. Vx7 + c

A: Given : ∫x43dx We know :  ∫xndx=xn+1n+1+C , where C is arbitrary constant. Therefore,…

Q: B. Obtain the x and y components х- соmponent 3.85 N 116° y- component =

A: Given:       F = 3.85 N ;  Angle = 1160      To obtain the x and y components : x component  Fx and…

Q: 6) ADEF = ADSR F D R ZF = ?

A:

Q: 22) ΔΖΥΧ = ΔYZC X Z Y C

A:

Q: s 130 ys 170 y 2 0 V V N N + +

A: the linear programming problem is as follows  maximise z = 2x+1.25y subject to…

Q: d. y = In(2x + 5)³

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: P C. In O T, mPQ - 65°, mzR 80° and mzS - 70°.Find: 1. mLP = 2. m2Q - 3. mộR 4. mSP - 5. MZRS - 70°…

A: # we are entitled to solve only 3 sub parts, please resubmit the other parts if you wish to get it…

Q: 4 x² + 4

A: Follow the procedure given below.

Q: 4. y = e 2coscns (2x) 5. y = e

A: Here we have to find the derivative of question number 4 &amp;5

Q: Q1: Evaluate * 3 Sx V8 – x³dx

A:

Q: L(T³) = %3D 6 .b O s4 3 s3 4dO

A: We know that : L(tn)=n!sn+1

Q: Q3. Evaluate : .. . ܬ 1 ? 2 +y? dy ன்

A: We have to evaluate the given integral.

Q: Zo) 1664 d. P(zo <Z < 0) = 0.4798 e. P(Z < zo) = 0.2090 %3D

A:

Q: Evaluate the following. Show your complete solution. S. (2w² - 5w+3)dw 4.

A:

Q: c) y" + 2y" = 32e²ª + 24x, y(0) = 6, y'(0) = 0, y″(0) = 14

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

Q: S y³Vy² + 4 dy 2

A: To integrate the given function , apply the substitution method to convert the integral in simpler…

Q: SC)=350 p.a for next years V(t)= 1- 0.01t PVo = 2 %3D

A: Suppose we are given that we deposit 350 per annum in an account for 5 years starting from time t=0.…