41. Find the ratio: PEGIK а) PABCD AEGIK b) AABCD

Q: Jx?, x is rational 1o, x is irrational. Let f(x) Show that f is differentiable at x = 0.

A: Given, We know that, fx=px     , x is rationalqx     , x is irrational  is differentiable only at r...

Q: 30 dx (4x+1)3/2

A: Given: ∫1630dx4x+132

Q: Find the particular solution to the differential equation. x?e?y dy = (x3 + 2) dx when x = 2, y = 0

A:

Q: Without using a calculator, evaluate the following expression or state that the quantity is undefine...

A: Given, sin-1(-1)

Q: Use L’Hôpital’s Rule to determine the comparative rates of increase of the functions f (x) = xm, g(x...

A: limx→∞lnx3x=limx→∞3lnx2·1x1    By using L'Hospital's rule=limx→∞3lnx2x=limx→∞3·2lnx·1x1    By using ...

Q: Solve the equation sin = cos for θ, where 0 ≤ θ ≤ 2π.

A:

Q: Explore the convergence of the series:

A:

Q: Find the absolute maximum and absolute minimum values of fon the given interval. f(x) = [0, 3] x +1 ...

A: Given function - f(x) = xx2-x+1Let's first find the critical point at f'(x)=0,Differentiating f(x) w...

Q: The equation for f is given by the simplified expression that results after performing the indicated...

A: This is the equation for f.

Q: Find the derivatives of the following function f(x)

A:

Q: Solve absolute value inequality : lx - 1l ≤ 2

A:

Q: Write the Equation in standard form and sketch its graph. Show your solution. x² + 4x + 16y² – 128y ...

A: Given: x² + 4x + 16y² – 128y + 292 = 0 To find: The equation in standard form

Q: Write the equation of the parabola in standard form, whose vertex is vertex is (-3, -1) and the grap...

A: Given Write the equation of the parabola in standard form, whose vertex is vertex is (-3, -1) and th...

Q: Which is greater? Let R be the region bounded by y = x² and y = Vx. Use integration to determine whi...

A: Given that, y=x2            ...(1)y=x        ...(2) Using (1) and (2), x2=xx4=xx4-x=0xx3-1=0x=0,1

Q: Each gives a formula for a function y = ƒ(x). Ineach case, find ƒ-1(x) and identify the domain and r...

A: Definition used -          The inverse of a function -           For finding the inverse of a functi...

Q: Evaluate the integral.

A:

Q: Find the derivative of the algebraic function.

A:

Q: 4dx x+36 2.

A: To evaluate the given integral

Q: Find the arc length of the graph of y=Ln(cosx) from x=0 x=π/4

A:

Q: Find the domains of f and f−1 , (a) find the ranges of f and f−1 , (b) graph f and f−1 , and (c) sho...

A: Given: f(x) = 3-4xf-1(x) = 3-x4 

Q: S (8)0.5x dx 2

A: Consider the integral as, I=∫2480.5xdx Simplify the expression as, I=∫242220.5xdx=∫24222×0.5xdx=∫242...

Q: Evaluate the expression log100 10 without using a calculator. If evaluation is not possible, state t...

A: Evaluate the expression log100 10 without using a calculator.

Q: Fill in each blank/s : The first number in an ordered pair such as (8, 3) is called the ...............

A: The first number in an ordered pair such as (8, 3) is called the ________. The second number in such...

Q: Convert the given coordinates to the indicated ordered pair.

A: x=r cosθy=r sinθ

Q: Determine whether the statement is true or false. If it is false, explain why or give an example tha...

A: Given statement is lnan+m=nlna+mlna, where a>0 and m & n are rational. To determine whether g...

Q: i just need corect option not whole solution be fast

A: Given that S is the sequence of all rational numbers in the interval [0,1] , enumerated in any way. ...

Q: Let y" +5y' +y x3 e* the particular solution of the equation can be obtained: Select one: a. By neit...

A: Express the method of undetermined coefficients to solve the differential equation. Let the differen...

Q: The length of an American football field is 200 feet more than the width. If the perimeter of the fi...

A: Perimeter=2(length+width)

Q: Sketch the graph of the function. Identify any local extrema and inflection points. y=x- In |x| Sele...

A: the given function is: y=x-lnx we have to sketch the graph of the function and identify the local ex...

Q: Use a change of variables or Table toevaluate the following definite integrals.

A: Given, The definite integral ∫1249x2+6x+1dx.   To solve: Using change of variables or using table gi...

Q: 67. V25 = 2.9240

A: We know the square root of 25 is +5 or -5.  

Q: Product Rule for the second derivative Assuming the firstand second derivatives of ƒ and g exist at ...

A: It is given that second derivative of f and g exist at x. Formula for d2dx2fx·gx First derivative of...

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.

A: Given- log4xy To find- Whether the expanded form of the above expression is 12log4x-log4y correct or...