dy Find for the following by using appropriate rules: iv. x² + y3 + (lnx)e♥ = 4. y = Vx(3x2 – 1) V.

Q: finn D2:- knowing thet fcxy,Z)= tavm of C in dx そ= X+y Z= X

A:

Q: how that y y= re) xrem) aum coheore D 's the domain x20, and

A: Putting xa=X and ya= Y the given equation will be changed into ∫D∫aXl-1aYm-1a2dXdY   where D is the…

Q: if y = 3x² – 4r³ + 3ª + VI + a, then dy/dr is:

A: Given that     y = 3x2-4x5+3x+√x+π Here we have to find dy/dx . We know that        dxn/dx = nxn-1…

Q: Q4) If VZA = |, such that AAT = 1. Find x? %3D %3D

A: Given that 2A=1-1   -1xT  such that AAT=ITo find x:

Q: Find for w = , x = 0', y =r+ 0, z = r – 0 2r2 27 2r 272

A: Given query is to find the derivative.

Q: Sx X dy. on=5

A: Let,I=∫01x3dxI=x4410I=144-044I=14

Q: dy If dæ 4x³ + 3x? + 6x and y = -3 when x 1, fınd y. |3D

A:

Q: dy dr a. r+y = 8 Find for the following=

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Зах-п 5. 5. = -4 for x 6 by+2 3DC for y 7. at + b = ar - c for a

A:

Q: Consider the lollowing inner prodact or R 2 by, % ニaメ, X X. + 2. Cし3)上63) oa tb = ?

A:

Q: -6t 3t2 7 Find i (t), given 7(t): %3D - 6t2 3' 3t3 2 3t F(t)

A: Given

Q: Find EF in the trapezoid. x+7 D E 3x 8 B

A:

Q: Find antiderivate. for eaen fenction when C=0. a) 8x? b) x4 C) x2+ 6X-7

A:

Q: Find, from first principles, fa(3, –1) for f(x,y) = 4x²y? + e® .

A:

Q: 11. If ARST is isosceles, find mZS. V15x-31) (15 R. (9x+11P T'

A:

Q: Find V²f by the formula V²ƒ =div(grad f) given f(x,y, z) = e³wyz grad f = [| V²f =

A:

Q: Find x²dA where R R = } {(x, y) | 4x² + 16y? < 64

A:

Q: Use the Midpoint Rule with m = n = 2 to estimate the value for 4x + 2ydA on the rectangle R = [0, 8]…

A:

Q: R. 4. Use the information in the figure and prove that VC = CX, making use of reflec- tions. [UCSMP,…

A:

Q: Find EF in rectangle EFGH. H 8s+10 3s+15 F E EF = %3D Submit

A: The solution is :

Q: xi+yj+zk Q5/ If F = find curlF.

A:

Q: Q2 Given that z = 8x2y - 2x + 3y, x = u v, y = u – v %3D az az and ди Find av

A: To find dz/du and dz/dv.

Q: Y 11. If QM = 6x - 11 and MR = 2x + 9, find MN. K

A: We are authorized to solve only 1 question, please repost remaining questions Circle property

Q: o the emergency room of a small hospital is 2 it, on any giv wły admitted patients?

A:

Q: Jo x² +6x+10 n of the trapezoidal ru idal Lru Owit

A:

Q: Oues. find cof y³ty = x+6x 3. ( please Flugthe Valle of y alse, after taking the duivatlbe]

A: Given an equation, y3+y=x2+6x To find the derivative of the above equation.

Q: Now gx y"_y₁-2y=C₁e +4c₂e² २०७ +4₁e - alge 20₁0 x 2c2e

A:

Q: Haw it Veszy, 22,4x+77 ?,X? y?, ye> find (curt w)-v at (4,0,2) W=<3Z

A:

Q: Q5/ Find by using chain rule dx y vt2-5+ t, x tv4t +8+7

A: Explanation of the answer is as follows

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

A:

Q: R Given: MLPSQ = 3y - 10 and MPRQ = 2y + 10. %3D What is the mPSQ? OA. 25° O B. 50° O C. 30° D. 20°…

A: Given ,  m∠PSQ = 3y - 10 and m∠PRQ = 2y + 10  We have to find m∠PSQ

Q: dy Given x2 + 2y² = 9. Then, dx2 (A 64x2 B 4y3 (© 32xy 16 (D 9y

A:

Q: Evaluate 40y dS where S is the portion of y = 3x +3z2 that lies behind y = 6. S

A: Draw the surface S.

Q: What is mLN? (4x +36)° W (6х - 2)° If WY + XZ = 28, what is PZ? Q PZ = Choose... Z. If XZ = 7x + 1…

A: Use the property of parallelogram

Q: Ve da 6. Given x=- 1 a = 3x +2x-1 and and y=- find 2 de c-4

A:

Q: Find d?y/d?x from x=t2-3t+4 and y=t2 +4t -5.

A: The parametric equations are x = t2-3t+4 y = t2+4t-5 To evaluate: The expression of d2ydx2 Formula…

Q: Q2) Find the avea of the Vegions enclused by X = 2y X = o and 9 = 3

A: First we will sketch given curves and identify the region enclosed. Using the sketch and…

Q: Q2) A Differentiate the following ( 1)y= [(5x) (4- 2x)]²

A: As per bartleby guidelines we only give first question answers.

Q: y4 X = 4 1 for 2 sys3 + 8y?

A:

Q: Find SS₁R³² z²dA where R = {(x, y) | 36x² +9y² ≤ 324}

A:

Q: I *Vx² + y² d A, where Evaluate D

A: Introduction: - The polar rectangular region R in the r-plane is defined by the double integral of…

Q: What is the domain of {(v²,y)|y€Z}? A Z B z? © V7 D Z except (0}

A: We have to find domain of {(y2, y) :y belongs to Z} i. e we are given that range set is set of…

Q: If x = t² and y = t³, then y O t 3/4t O 3/t Other: = ?

A:

Q: b) Use Convolution theorem to find £-¹(2) S3+45

A:

Q: Find x, y and mZP. (3y+15)° P (2x-18)"

A: Given problem:-

Q: Calculate v(3r²-4Vr + where r? = x? + y? + z?

A:

Q: Q1/ A) By using carmer's rule , find values of x and y for the following equations — у + 3x 3D 8 2x…

A: The given system of equation is 3x-y=82x+4y=10 Use Cramer's rule to solve this system of equation:…

Q: fud the general Schiklen for the P+q =X+Y+Z

A: p=dzdx and  q=dzdy Let f(x,y,z,p,q)=0We can relate this equation to F(x,y,z,p,q)Then we have the…

Q: y of the morning shift (from verage worker who arrives on - where Q(t) = –t³ +

A: Identifies was that this concept is used in everyday life such as determining concavity, curve…

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.