dy Consider the following image, which is the slope field for a DE dx 10 y 5 For which of the following points (a, b) is f(a, b) > 0? : f(x, y). = 10 X 7

Q: Which of the following is the derivative of y +3x ? Select one: dy a. da 3x 3 dy b. dz = 3x? dy C.…

A:

Q: В. B. Show that the function f (z) = -i z2 is analytic.

A: The solution is given as

Q: Find the da/dx, where a is a function of x: a²x² + 2ax = a.

A: The given function,        a2x2+2ax=a

Q: 9. f(x) = Vx(x* – 2x + 3)

A: 9. We need to evaluate the derivative of the following function fx = xx4-2x+3 Formula Used : ddxxn =…

Q: Q1: Find A: fxx fyy and fxy for the following functions f(x,y)= In(tan-¹xy)

A: Let us consider the given function z=f(x,y) The first order partial derivative are ∂f∂x,∂f∂y The…

Q: dy find for the following functions: dx (x²+x)(x²-x+1) y = x3

A:

Q: The x and y coordinates of the inflection point(s) of the function f(x) = x + 21x* is (are): A. No…

A: Solution :-   Given fx = x3+21x2We have to find inflection point for this, we put f''x = 0

Q: Determine and sketch the contour plot for the function f (x, y) at three level curves.

A: Given:                    fx,y=4+2x-4y-x2-y2 To do: Sketch the contour plot for the function fx,y at…

Q: dute tind fy (X, if f(x,Y) SX+34+3

A:

Q: f(s, t) = – 11s?t* – 15st? – 14

A: Given,         fs,t=-11s2t4-15st2-14

Q: 150. dx), V9 – y²dy 3

A:

Q: Determine the expression for Fyz(x, y, z) given the function F(x, y, z) = 2x²y – xz? 3y z.

A:

Q: EX:- Find the F.I. of (f(t)) sgn (t) =

A: ft= sgntft=1if x>00if x=0-1if x<0 The signum function can also be represented as…

Q: dw at (u,v) = (5,4) for the function w(x,y) = xy – y; x= u – v, y= uv. Evaluate du O A. 21 O B. 1 O…

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Q: x² + 1 Find the tangent line of y = at r = 1

A:

Q: Q:: Find dy for the following functions: - dx 5x²y5 - 3x = x* + 3y?

A: Given function is : We have to differentiate it with respect to x.

Q: Evaluate: S Vx(x – 5)dx

A:

Q: In the following function, let U and R be a variable and V be a constant. Find R'(U). v²R U = - R+V

A: Given: U=V2RR+V Now,            U=V2RR+V⇒UR+V=RV2⇒RU-V2=-VU⇒R=-VUU-V2;   U-V2≠ 0

Q: f(-1,–5)= f(-5,–1)= f(0, 0)= f(5, –5)= f(t, 2t)= f(uu, и — v)-

A:

Q: EX: Find the F.T. of the triangular pulse : g(t) = AA ( \ ) Sols Apply differentiation property of…

A: What is Fourier Transformation: The Fourier transformation is a type of integral transformation.…

Q: Q2 || Find Def , where ((x) = (x) =

A: The functions are f(x)=1x-1  & g(x)=xx-1 The composite function of f(x) and g(x) is defined as…

Q: Sketch the following functions -2. x² + y² + 2y + 1+ 2+ z = 0 -3. z² = x² - 4y² 4. z = -x² - y² - 1

A: We need to standardized equations to get type of surface they represent and then draw it