What is the domain of the function y = sec(x+Tt)? * %3D O {x :x + kTt/2, k is an odd integer) O {x:x kt, k is an odd integer) O {x : x = krt/2; k e Z) O {x : x E R) I don't know

Q: Explain why the Intermediate Value Theorem is not necess arily guaranteed fo f (x) = = CSC for x E…

A: Topic = Functions   The intermediate value theorem states that if f is a continuous function whose…

Q: find f given f (z, y) = e + 2ry 4y at (0,3)

A: Topic- partial differential

Q: 2. Show that the function u = e(xy) + VrY 4(y/x) provides the equation Pu = 0. dy? %3D -

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Q: Suppose F(r, y) is a C' function such that F(0, 0) = 0. What conditions on F will guarantee that the…

A: Let us consider, F^(x,y)=F(F(x,y),y)  On applying the implicit function theorem , can get a solution…

Q: -Find the D.f ofr (x, y) = (x² – y)' at Po(3, 1) with

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Q: (tan ) 1/x TC + x 4 * f(x)D. k, For what value of k, f (x) is x =0 continuous at x = 0?

A: The

Q: on f(x, y) = 3x + 9y subject to th %3D

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Q: The function f(x) = e + e has a relative extremum at Select one:

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Q: is concave up on interval The graph of f(x)= x2 – 1 OA(-1,1) OB (0,1) oC(-1.0) U (1, 00) OP (-x,-1)U…

A: F is concave up if f’’(x) > 0.

Q: A function f : R? → R is given by f(x,y) = y² + 2x² – x²y. Find and classify its critical points.

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Q: 2. For what value of k will x – iky F(x, y) = (x+ y)² + be analytic?

A: Given function is fx,y=x+y2+x-ikyx+iy If it is analytic then it satisfy C-R equation ux=vyuy=-vx

Q: Calculate the approximation for the given function and interval. M5, f (x) = ln x, [1, 3]

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Q: Suppose that f and g are discontinuous at x = c. Does it follow that f + g is discontinuous at x =…

A: Let us define that Then both f and g are discontinuous at x=2

Q: If f (x) = (VT+1) (x-1 + 2) , what is f'(x)? of 'e)- (Vs +1) (-솔) + (금 + 2) (금금) o f 'a)= (VE+ 1)…

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Q: to verify thiIS 1 For which values of a ER is the function ax? f(x + iy) = (ax- ary) + i + ay 2 an…

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Q: 7. Suppose that f: R R is differentiable at c and that f(c) = 0. Show that g(x):= |f(x)| is…

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Q: What is the absolute minimum value of f(x) = æ + sin a on the interval ,

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Q: Consider the function 23 – 3y if (x, y) # (0,0), f (x, y) = x² + y? if (x, y) = (0,0). Show that…

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Q: Consider the For at function y= In(x+1) . what valves" of x is y undefined ?

A: The given function is y=ln (x+1) We know that, for the function ln x, x>0

Q: 1. Find grad f for the given function below. Ax, y, z) = 5xy + 3yz – 4zx

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Q: Given the function f(x,y)=e5-2x+3y, approximate f(4.1,0.9)using point (4,1) for (xo, yo). What is…

A: The linear approximation of f(x, y) at (a, b) is the linear function  L(x, y)=f(a, b)+fx(a,…

Q: Show that the subtangent of f (x) = ex is everywhere equal to 1.

A: Formula to find the subtangent of the function helps to find the required subtangent. Derivative of…

Q: Q10. Expand f (x, y) = e" cosx about up to third degree terms by using Taylor's theorem for a…

A: The given problem is to find the third degree taylor polynomial of given function f(x,y) about point…

Q: 5. Show that the function h(x, y) defined by 1 if a? + y? 1 is discontinuous.

A: We can solve this using R.H.L ≠ R.H.L

Q: 25. Use the definition of differentiability to prove that the following function is differentiable…

A: First let us find the partial derivatives of the given function f(x,y)=x+y as shown below:…

Q: is continuous and integral 3 to 1 f(x)dx =8, show that the graph of f intersects the line y=4 at…

A: Given that f is continuous and f13f(x)dx=8 To prove line y=4 intersects the graph of f altleast can…

Q: Show  that the function Z =1/2(eysinx - e-ySin(x) satisfies the La Place’s equation  =0

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Q: The range of the finction f(x, y) = In(-x² -+1) is %3D None of these O (00:0] O [0; +0) O [0;1]

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Q: The antiderivative of fix), denoted by FIX), exhibits an odd symmetry i.e., it satisfies the…

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Q: The graph of a differentiable function f on the ir [2,10] is shown. Find the trapezoidal approximat…

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Q: Find the si0pe of the given Function メト at メ= y' 1.) u= Vler*) at x = 2) 4= In(3メ-2) a+ x= こ %3D

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Q: Calculate the approximation of My for the given function and interval f Cx)=フメーンLュ,3 %3D

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Q: Suppose f(r) = (In z)e. What is f'(x)?

A: d/dx (f(x)g(x))= f(x)g'(x)+g(x)f'(x)

Q: Find the value of m so that the function f(x) will be continuous everywhere mx +2 f(x)%3D2X+mx-n 3.…

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Q: Let f(x) = e* for 0 < x<1 a. Approximate f(0.25) using linear interpolation with xo = 0 and x1 = 0.…

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Q: f(x) = Vx -In x %3D f(x) = 3* arccos Vx² + x

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Q: Find the linearization L(x) of the function at a. f(x) = sin(x), a = 3 L(x)

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Q: Q: Which c.d.f. F is of X is continuous at x=0?

A: If F(0) = F(0-) then F(x) is said to be continuous at x = 0

Q: Suppose that f(0) = 1, ƒ(0.5) = 2.5, f(1) = 2, and f(0.25) = f (0.75) = a. Using trapezoidal rule…

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Q: Suppose that the functions f and g, with linear approximations L, and Lz at x = a as shown below.…

A: Limit problem

Q: , Consider the function f(x, y) = x'y + y – 27y. f has v at (3/3, 0). f has ? at (0,0). f has ? v at…

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Q: Suppose f is differentiable at a and f(a) + 0. (a) Prove |f| is differentiable at a by using that…

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the…

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Q: The limit of f (x, y) : as (x,y) approaches (0,0): %3D O Infinity O Doesn't exist Exists and equal…

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Q: 1. Verify whether the function f(2) = e=Y sin x – ie- cos x is entire or not. 2. Show that the…

A: Given: Let us consider the given, 1) fz=e-ysinx-ie-ycosx 2) fz=xy+iy

Q: Find the 2nd solution using reduction of order. xy" +y' = 0; y1 = Inx For the toolbar, press ALT+F10…

A: Just I have used the method of reduction of order and solve in detail and find that  Second solution…

Q: Find the value k that makes the function continuous. S ka?, f (æ) = x > 2 ka + 4, г 2

A: Given thatfx=kx2         x&gt;2kx+4    x≤2We have to find value of K for which function is…

Q: [a, b]. If F(x) is an antiderivative of f(x), for real numbers ¤) + k]dx is equal to

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