Graph the function and observe where it is discontinuous. f(x, y) = e1/(x - y) fis discontinuous at x =

Q: If a is a positive integer, then the slope of the tangent to the graph of y = a²x – a ln(ax +1) at z…

A:

Q: Differentiate the function F(t) = arcsin(In(t)) - arctan(3t) – arccos(/2).

A:

Q: Find partial derivative, zg and Zy for the following function: e 2x²+3y Z =

A:

Q: Find the value of the derivative y′(x) at x=0 for the function given by ey+xy=e.

A:

Q: Find the slope of the tangent line at a for the graph of the f(x) = xtan z y(x) be given implicitly…

A: a) Here we have to find the slope of the function f(x)=xtanx .......................... (1)  Let…

Q: 2. dy sin x - y where f(n) = 0. %3D dx

A:

Q: If f is continuous and f(x)dx=10 on the interval [0,4] find xf(x^2) dx on the interval [0,2]

A:

Q: 9) Where is the function ht) = (t+ 5) differentiable?

A: Given         h(t)= t+51/3

Q: ation: tanh’(x² + 3y 3

A: We have to find dydx of following equation. tanh3(x2+3y3)+ex2y4=3        ........(1)

Q: Find the length of the curve y = In sin x from t = -2 to t = 0.

A:

Q: dy from t dx n for y as a function of x, and find two results are consistent by expressing the (a)…

A:

Q: a² + y? – a*y³ f(r, y) x² + y?

A:

Q: Does the graph of the function y = tan x - x have any horizontal tangents in the interval 0 sx s2n?…

A:

Q: Q2) find the slop for the tangent of the function f (x) sin(xcos(x)) at x = 2n. %3D

A: To find the slope of the tangent of the function fx=sinxcosx at x=2π. Solution: The slope of a…

Q: Find dy/dx of the following function using Chain Rule. y=(x3 + 3)5

A:

Q: Differentiate f(x) with respect to g(x) of yx=xsiny

A:

Q: Use Euler's method to make the graph of the following functions on the given interval. a) dx/dt = t…

A: Introduction: The Euler's method is a basic and numerical method to approximate an initial value…

Q: At what points are the functions continuous? y = cos x/x

A:

Q: of and dy For the function f(x,y) = In (8x + 9y), find - - of

A: partial derivative of two variable functions

Q: Find the length of the graph of ; a. f(x)=⅓x2 -⅔ between x=2 and x=3.  b. x=cost, y=sint from t=0…

A: See the detailed solution below.

Q: For the given function 9 = x-yz and 62 -(@C) at C= 3x?yi+ yz²j- xzk, Find 5yöz бубz point (1, – 2, –…

A:

Q: Find the tangent to y = cos x at x = 5- O A. y=x+7 O B. y= -x+7 O C. y= -x-7 O D. y= 1

A:

Q: The graph of the function y = 3 sinh 4x has a relative maximum at a point O (0.0) O (0, 3) O (3.0)…

A:

Q: Find the limit of function f (x, y)D. at the point (0,0) through the path x=y². а. О b. 1 8 d. does…

A:

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: Find dy/dx, where y is defined as a function of x implicitly by the equation below

A: Given,

Q: Let I = W/H^2 denote the BMI. Estimate the change in height that will decrease I by 1 if(W,H) = (25,…

A: I = WH2    (Given)    W=26                         H=1.1   W= Constant (given) I = WH2 = W(H2)-1 =…

Q: Find whether the function F-(* - y')i + (v² – 3x)j + (=* - xy)k is irrotational.

A: A vector field F is called irrotational if curl (F) = 0.

Q: compute dy/dx for the following function:  y= tan(x2y)= xy3

A: We have to find dy/dx of a curve implicitly.Curve equation is given below:

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: Find the values of x between 0 and 2n, if any, where the graph of y(x) = sin(x) cos(x) has a…

A: Given : yx = sinxcosx

Q: Find the derivative dydx of the function x=arctanet, y=1+e2t at t=0.

A:

Q: la y is not measurable. Wan

A: Given a statement

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

A:

Q: Find the linear approximation L(x) to y = f(x) near x = a for the function. f(x) L(x) =

A:

Q: lim, f(x)= 0, then | f(x)dx diverges

A: Statement:  limx→∞ f(x)≠0,  then ∫1∞ f(x) dx   diverges.

Q: Differentiate the following implicit function with respect to x : b. y = -In (Ryx²) + sin(y)e³3Rxy +…

A: To differentiate the given implicit function with respect to x.

Q: Consider f(x) - x In x. The step size, h, of Trapezoidal rule required to approximate ) dx within an…

A: Given: fx=xlnx Then, f'x=x1x+lnx=lnx f''x=1x Now observe that f''x≤1, for all x

Q: Use FunCtion 9(x) = - f (X)tZ gra ph Of Y = fLX) to g raph Y=F(x) 2十 -4

A:

Q: Evaluate the implicit function by finding dy/dx of x³+3y=3xy

A:

Q: find the length of the function over the given interval x=2y, y=-1, to y=1

A:

Q: The equation of the tangent line to the graph of f(x)=ln(x) at x=e^−1 is given by y=mx+b for m =…

A:

Q: Q2\A telegraph cable is made of an outer winding around an inner core. If x is defined as the core…

A: Given that,

Q: S() dt, where f is a continuous function, find f(4). (c) A 10 ft ladder rests against a vertical…

A:

Q: Differentiate the following implicit function with respect to x: b. y=-In (Ryx²) + sin(y)e³*xy +e

A: Given

Q: Consider the following function: y = x*. dy dz ||

A: The given function is y=xx2. Rewrite the given function as follows. y=xx2y=elnxx2y=ex2 lnx

Q: Q1) Find the tangent y = vx² – x + 7 at x = 2.

A: The detailed solution is as follows below:

Q: 36 – t2 dt. f(x) 4+ cos? (t)

A:

Q: Suppose that the tangent line to the graph of y = f(x) at x = 2 is y = 4x – 3 and that the tangent…

A: The given tangent line to the graph of y=fx at x=2 is y=4x-3 and the another given tangent line to…

Q: Find the slope of the graph of cos(x + y) = 2x at the point ( 0, T1/2 ). Hint: Differentiate…

A: