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

Q: Find all the points of g(x, y) = x³ − 3x + 3xy² where a relative extrema might occur.

A:

Q: eralvate s Ēodp where C is represientee ぐ F (Xっy)= yi 土 6+) = 28ti + tj

A: To evaluate: ∫CF.dr→F→x,y=xyi^+yj^rt=28ti^+tj^ ,     0≤t≤7

Q: Find fryz from the functions f(x, y, z) = 4x³y² – e²y* ++ 4y – x16 %3D - |

A: To find the third order partial derivative of the function fxyz f(x,y,z)=4x3y2-ezy4+z3x2+4y-x16

Q: y = 2sinx and y = 0 from x = T to x = 4 π 2

A: The given curves are y=2sinx and y=0 from x=-π4 to x=π2. So, the bounded region is as shown below;…

Q: Find d²y if y =x² +3x-7 and x=2t+1. dt?

A: y=x2+3x-7 and x=2t+1

Q: Calculate y*)(0) for 0 < k < 5, where y = x* + ax³ + bx² + cx +d (with a, b, c, d the constants).

A:

Q: Ex. Evaluate the JJex*+2xy+y*) dydx when s tep (x²+2xy+y=) dydx when step Size of X = 0-2 and step…

A: Given: fx,y=x2+2xy+y2 Given step size of (say hx) x=0.5 and(say hy) y=0.5 we need to Evaluate…

Q: Differentiate the function. y = In(16 + t – P) %3D y' = 1– 3r² 372 6 +t-t -- 6 + t- r 2 6+t-t

A:

Q: a. Find linearization of f(x) = Vx +1 at x = 7. b. Using your answer above, estimate V8.1.

A:

Q: Differentiate the function.

A: Consider the following equation: Gy=ln2y+15y2+1 Differentiate the above equation with respect to y:…

Q: V1-y² -1 0 kpxpzp (,x + zA),I „«-,S

A: The given integral is: I=∫-11∫01-y2∫0x y2+x2 dz dx dy

Q: y"(t) – 4y'(t) + 4y(t) = 4e2t; y(0) = 1, y'(0) = -4

A: Given differential equation y''t−4y't+4yt=4e2t and y0=1, y'0=−4. Take Laplace transform both sides…

Q: z² - xy = 2 at the point (2, 1)= %3D

A: We have to find the slope of the line tangent  to the given curve.

Q: f(z, 9) = 82" + 5y² + 4z°y+ e7=y of Calculate

A:

Q: 3 ) Express f(t) in terms of the unit step function u(t).

A:

Q: 2. x3 - y3 = c³, find y" %3D HOOAT d²x 3. x* = at?, find dt2 1983

A:

Q: y(t) = y" - 3y' = 8e²t - 2e-t, y(0) = 1, y'(0) = -1

A: Given

Q: y(t)+5 y(t)+4y(t) = 2e" -21 %3D

A:

Q: d) The function +(xy)-r*r2y) exp G 18xy is homogencous in of degree X and

A: The given function is: f(x,y)=(x2+2y)e2xy+8xy...(1) The function f(x,y) is said to be homogeneous…

Q: Find d2y/dx2 implicitly in terms of x and y.    x2 + y2 = 4

A:

Q: 6. x = t and y = 3t – 2 for 0Sts4 %3D -

A:

Q: t² - t dt 0, = (x)6 g'(4) =

A:

Q: Let z = 9xy - 9x y where x = 6t, y = 8(1 - 1). Find by using the chain rule. Express your answer in…

A:

Q: Calculate the LOS of y = -x² + 2x + 4 LOS is x = a is b is ,c is

A: We have to find the line of symmetry and values of a, b, c in the given question.

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

A:

Q: Is the equation y '(t) = 2y - t separable?

A: Given a differential equation, y't=2y-t

Q: Q3: Find the aven between the curve y,= x+2 and the Carve Y2=-2X+5

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

Q: EX. Evaluate the JJ(X*+2xy+y") dydx when step size of x = 0-2 and step Size of y=o.5?

A: Given: ∫01∫02x2+2xy+y2dydx with a step size of x=0.2 and y=0.5.

Q: Evaluate [ T 1-x² x² + y² dydx.

A: Given: The integral is ∫022∫x1-x2x2+y2dydx. The aim is to evaluate the given integral. Concept:  The…

Q: y? = = CX Find the orthogonal trajectories of x2 +

A:

Q: Q8) Find the Linearization f(x.y.z) = x² + xy + yz +? at (1,1,2)

A:

Q: rsin 28x /ī+ t² dt and If f (x) = So g (y) = ' f (x) dæ., what is g" (6s )? 168

A:

Q: Find the Orthogonal Trajectories: a.) y6 = C (x2 + 1)

A:

Q: Is the equation t²y' (1) t + 4 - separable? y?

A: t2y't=t+4y2

Q: y = v1 - x2 from a = 0 to r = ;

A:

Q: F(x,y) = -41² - 2xy-4y² +z+y.

A: Follow the procedure given below.

Q: -3x2 F(x) = S*" t² dt %3D

A: TO EVALUATE THE FOLLOWING INTEGRAL F(x) ∫-x3x2 t2 dt FORMULA USED- ∫abxn dx = xn+1n+1 i.e substitue…

Q: 3. If f(x) = [ v19 +r² dt , find f'(3).

A:

Q: I Y=t5メPYove th y-2(21くるど

A:

Q: 18. Differentiate y with respect to x using A-method. a) y = x³ + 2x? - x+ 5 b) y = ax*, where a is…

A:

Q: E. y = xArctanx - In V1+x

A:

Q: Q5/ Find by using chain rule dx y = vt - 5 +t, x = tV4t + 8 +7 %3!

A:

Q: Q3: Find fxx of the function f (x, y, z) = -In/1-x2 - y2 – z2 %3D

A:

Q: Find DF of fcx,y)=x²e° at the point (-2,0)-

A:

Q: Calculate y(k)(0) for 0 ≤ k ≤ 5, where y = x4 + ax3 + bx2 + cx + d (with a, b, c, d the constants).

A:

Q: íf was T'fz (R)→R Linearidentifier grand father ♡ Kert ☺ Im T

A: Here given that a linear identifier T :ℙ2ℝ→ℝ3 defined by Ta+bx+cx2=a, b, a+b. We have to find Ker T…

Q: Q4. Find the values of the constants a, b, c so that - - F = (axy + bz³)i + (3x² − cz)j + (3xz² –…

A:

Q: Find the orthogonal trajectories of x2 + y? – 2cy = 0

A:

Q: e demand x, and finc le of x clock radios. oduction level of 160

A: Marginal and Revenue function: (A) The price p and the demand x for a particular clock radio are…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.