Show that f is continuous at (0, 7) where a cos y + y(e" – 1) if r + 0 f(x, y) = ay if æ = 0.

Q: DEvaluate ×コ 2x+1 dx

A:

Q: If a and b are integers, then a/b is always a rational number. True False

A:

Q: 2

A: To find, L-11s2+13 The Convolution Theorem is given as, If L-1f¯s=ft  and  L-1g¯s=gt then,…

Q: If 0≤t<π/2 and x=3 sec t,  then square root sign x^2-9=

A: We can use the trigonometrical identity in order to solve the given problem.

Q: 15 estimate, root of fa) =x²-7.

A:

Q: Use L's Hospital's rule

A:

Q: Find

A:

Q: 2x+Y dxdy Jo Jo

A: We have to solve

Q: L, x*e*** dx 3+1

A: 3.1) ∫-12x2e(x3+1)dx Let u=x3+1 du=3x2dx

Q: by the most eificient-method. Wri x^(2)+9x=-20

A:

Q: use to Fixed point iteration method solve FØx1= e-x Xo=0 A=4

A: Given function is fx=e−x and x0=0, n=4. We have to solve the fx=e−x by using fixed point iteration…

Q: Suppose /(x) =ve. Evaluate: A B D

A:

Q: 4) sinh 2xdx

A:

Q: plz solve x^3-x-1=0 by bisection method,regular falsi method,secant method,iteration method ..I need…

A:

Q: Equation: Answer:

A: We want to find value of x. For this we use Pythagoras theorem, which states that Hypotenuse2 =…

Q: solve 1/5x^2+2=3/5x^2 using square roots

A:

Q: a) Solve using naive Gaussian elimination with three digits round）arithmetic and compare  with the…

A:

Q: (x-1)e* dx x2

A: As we know that from integration by parts: I=∫udv=uv-∫vdu

Q: $] Solve y"-3y' = 2e* +5sin 2.x

A: We  have to solve the differential equation   y''-3y'=2e3x+5sin2xHere the homogeneous part  is…

Q: 1 2) ƒ =—= + √xdx X

A: Integrate the following.                                ∫ 1x+x dx

Q: Find the root using Regula Falsi Method (show your table) x^2-6x+9=0   Ans. x=3

A: Regula falsi method or false position is a numerical method to solve equations in one unknown. This…

Q: is there any way to do this without L' Hospital rule? we have not learned that yet

A:

Q: Prove that the equation * + + = 1 has no solutions in positive integers x , Y, Z.

A: x/y + y/z + z/x = 1 if x , y , z are positive integers then case 1 :  If all three numbers are…

Q: Compute * sin x dx. x4 + 1 p.v.

A:

Q: Explain the benefit of L’Hôpital’s Rule.

A: L'Hopital's rule is the rule to determine  the limit of any given function, which is almost…

Q: Show work please!!

A:

Q: the very first step, why did u ignore "a" when u re-wrote the LHS ?

A: