O Find the function? y = h(x) 3 2. 2.

Q: d²y Find dx2 for the function x²y² + 6xy 17 at the point (2, 3)

A: First find the first derivative at that given point than take the second derivative.

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: Given the function y=3√x. Find d2y.

A: Given

Q: x = t3 − 12t,    y = t2 − 2 find d2y dx2 and for which values of t is the curve concave…

A: We find dx/dt and dy/dt.

Q: dh and find dx 3x + 7y For the function h(x.y) = 4xу - 1°

A:

Q: d'Y Find dx X - t? + t 2) Y = t + 3

A:

Q: Q4) f(x, y) = x"/s –x/ay² Does the function is harmonic ?

A: If a function satisfied Laplace equation then the function is called harmonic function

Q: Find d2y/dx2 as a function of t if x = t - t2 and y = t - t3

A:

Q: r16 dx 3. J2 2xVIn x

A:

Q: 2x + 5y find ху - 3 For the function h(x.y) = and dy

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Q: _t f'(x) = tª – t3 + t² + t – 1

A:

Q: The function is x z = y² What is 8²% dy² 2/21/23

A: Let's find second partial derivative of given function.

Q: Find for x2 +y? = 169 at the point dx %3D (-5, 12).

A:

Q: Find fry for the function f(x, y) = x²? – xy? – 7y +3. %3D

A:

Q: (d) Find the value of x f' (g (x)) dx. 1

A: Definite integration from graph

Q: d*y 4. Find 5 of the function f (x) = - e dz"

A:

Q: Q2\ find when y = dx x²-1

A: y=xx2-1⇒y=x12x2-1⇒y=x1212x2-1⇒y=x14x2-1

Q: df If f is the linear function f = 5x – 9, what is the value of dx

A: The given function is f=5x-9

Q: 02.Find all the maxima value of f(x, y) = 49 – x2 - y?, on the line x +3y = 10 %3D

A:

Q: with the approphe Choose the correct function below. OA. O B. Oc. z=3-(2 -4)²• (2 -1)?

A:

Q: Q5 A) find dr for the function y x'+ Inx

A:

Q: Find for the following function. dx2 y=e -6x2 %3D dx2

A:

Q: Find dx2 for the given function. y = 8 csc(x) d?y dx2

A: Using derivatives.

Q: Q5) Evaluate xe¯*dx a) 1 b) e2 c) divergent 3 d) e2

A: Given: ∫2∞xe-xdx

Q: Find d2y/dx2 for the following function. y=e7x^2

A:

Q: Find the second derivative of the function Y = (3x² – 5)´ A. " = 1082? + 60 B. /" = 1082? – 60 C. "…

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Q: df-1 For the function y = f(x)=x²-x-1, x ≥ 0.5, find dy (ƒ-¹) '(1) = y=

A:

Q: Find the domain of the function:f(t) =∛(t + 4)

A: Given function is: ft=t+43 We have to find the domain of f(t).

Q: dx Find for the following function. 3at? y= |+t5 3at X =

A: The objective  of the question is find the derivative of the function.

Q: Given that x and y are related by the equation x2 + y² = 100, evaluate at the dx point (V50, V50).

A: given thatx2+y2=100     ....1to finddydx   at (50, 50)

Q: Q4) r(x, y) = xs -x/ay2 Does the function is harmonic

A: We know that a function in two variable is called harmonic if it satisfies the Laplace equation…

Q: dy If x2 + y? = 13, then at dx the point (2, 3) is : -3 2 -2 3 -4 3

A: x2+y2=13 differentiate with respect to x, 2x+2ydydx=02ydydx=-2xdydx=-xy

Q: d²y 2. Determine of the function y = dx2 x²cos (x)

A:

Q: Q5 A) find dr for the function y = x' + Inx

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

Q: dx (XS_8)5

A: The objective is to evaluate the integration.

Q: For the function f(x,y) = e9xy, find fx and fy. fx = ? fy = ?

A:

Q: Answer the ff. A.) Given that dy/dx = ∛(x^2 ) and y=3 when x=-1, find the function f(x) in terms of…

A: dy/dx = x23 and y=3 when x=-1,dydx= x23If  f'x=gx  then  fx=∫gxdxy=…

Q: d²y Find for the given function. dæ? y = 11 csc(x) d²y Preview dx?

A: Differentiating given function twice with respect to x

Q: dy Find for the given functions. dx3 a) y = /2x + 3 b) y = 2.x – 1

A:

Q: Given the function + y-4, find y'. Oy = Oy =

A:

Q: Q2: A) Find an equation of the line tangent to the function of x? + (y-x)2 = 9 atx = 1.

A: There will be two tangents. The detailed solution is as follows below:

Q: Let f(y)=√y and g(y)=y+1 find? f(g(4))=?

A: Given: f(y)=√y and g(y)=y+1   To determine: f(g(4))

Q: 02. What is the axis of symmetry for the function y = 2/3 13x + 9| – 2? A. x = -3 B. x = 3 C. x = -2…

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Q: Q4) r(x,y) = x'/s – ½y? is harmonic ? Does the function %3D

A: The given function isf(x, y)=x13-19x-53y2to check the function is harmonic?

Q: Find f(1) for the function, f(x) = 8x? + 7æ – 5. %3D Provide your answer below: f(1) =| ...

A: Topic:- function

Q: dy Find dr for the function a y+ 5xy= 17 at the point (2,3) %3D Answer:

A:

Q: Q3: Find for the following functions: - dx csc-/3 5x

A:

Q: (x*dx-xydy), wher hond

A: