y = cot-(x* + 1)

Q: Explain how to divide complex numbers. Provide an example with your explanation ?

A: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex nu...

Q: Given f(x) = (x - 2)3  a. Find an equation for f -1(x). b. Graph f and f -1 in the same rectangular ...

A: Given function is fx=x-23. Given function is y=x-23. Replace x and y with each other and then solve ...

Q: 2x - 4 Evaluate lim x+2 x2 - 4 x² – 4 O a. 0.75 O b. 0.25 O .1 O d. 0.5

A: Given: The given function is, limx→22x-4x2-4 The objective is to evaluate the given function using t...

Q: 2. Find the value of k so that the function Sa² + 25 |kæ – 40 is continuous at x = 5. defined by f(x...

A: Given,          The function defined by fx=x2+25    x≤5kx-40    x>5           is continuous at x=...

Q: Solve the linear system using Gauss-Siedel Method with x = y = z0 = 0 to approximate the solution. I...

A:

Q: (c) The rate at which a certain reservoir gets polluted is described by using the following homogene...

A: Given y'=-x2+y2x2+y2, y(0)=1, h=0.1. To find y(0.1) using fourth order Runge-Kutta method. k1=hfx0, ...

Q: What equations relate polar coordinates to Cartesian coordinates? Why might you want to change from ...

A: Equations relate polar coordinates to Cartesian coordinates are, x=rcosθ & y=rsinθ

Q: Help me solve this

A: i) The given function is fx=1+8x-3x2. Note that, the above polynomial function is real and defined f...

Q: Use limit methods to determine which of the two given functions grows faster, or state that they hav...

A: fx=lnx,  gx=ln2x

Q: 3.3 Find the sum of series. 1 + .. 1.2 3.23 '5. 25 7.27 1 +

A: Consider the given: 11·2-13·23+15·25-17·27+⋯ The above series can be written as: 12-13123+15125-1712...

Q: Suppose that az = 0 and Eb = 1. Find the values of k=1 k=1 a. 8a b. 250b; k=1 c. (az + 1) d. (b - 1)...

A: Given                            ∑k=1nak=0 and ∑k=1nbk=1 a) find ∑k=1n8ak                           ...

Q: In finding the area between the regions y = x2 – 2x and y = - x, the limit values of x are О а. 1, 1...

A: The given curves are y=x2-2x and y=-x.  

Q: The function f(x) =(x + 5)/(x - 6) is one-to-one. For the function,a. Find an equation for f -1(x), ...

A: Given: fx=y=x+5x-6 for finding inverse of given function, we find x in terms of y then replace x wit...

Q: The integral converges; I = }.

A: The integral converges when I=13. We have to give an example.

Q: Find and simplify the difference quotientfor the given function.f(x) =√x

A:

Q: log3x Evaluate lim logs(2x +5)

A:

Q: x +6 x2 – 6x +9 The given proper fraction can be resolved int partial fraction of the form O a. Ax +...

A: Explanation of the solution is given below....

Q: Graph the polar equation r = 3cos θ. Be sure to test for symmetry.

A: we have to graph the polar equation r = 3cos θ.  We have to do test for symmetry.

Q: Find the exact value of the expression cos 11π/6. Do not use a calculator.

A: To find the exact value of the expression,cos11π6. Solution: The given expression is , cos11π6 Simpl...

Q: Suppose the demand function for x thousand of a certain item is p = 140 + where x>1 and p is in doll...

A: Given :-  Suppose the demand function for x thousand of a certain item is p = 140 + 80ln x , where x...

Q: Approximate the change in the volume of a sphere when its radius changes from r = 5 ft to r = 5.1 ft...

A: we have to approximate the change in the volume of a sphere when its radius changes from r= 5 ft to ...

Q: 2х — 2 dx 1 — х? V1 – x²

A:        

Q: Find the moments of inertia about the coordinate axes of a thin rectangular plate of constant densit...

A:

Q: In Simpson's method , h=0.25, b=5, N=4 then the value of a= а. 3 O b. 4 О с.2 O d. 8

A: It is given that h=0.25, b=5 and N=4. It is known that in Simpson's rule, h=b-aN.

Q: Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = /28x +21 at (1...

A:

Q: Evaluate the line integral. | (9x – 9y) ds C C : x² + y² = 64 | (9x – 9y) ds = C

A: Explanation of the solution is given below...

Q: Use a calculator to estimate the limit. 5x e - 1 lim 8x X0 Select the correct choice below and fill ...

A: Consider the limit limx→0e5x−18x

Q: Evaluateſ dx xlogxlog(logx)log [log(logx)]

A:  

Q: Consider a particle moving on a circular path of radius b described by r(t) = b cos ωti + b sin ωtj ...

A: A)   Then velocity is  Speed 

Q: Use the graph of y = f (x) to match the function with its graph. y = −f(x − 4)

A: The function is given as y=fx. From the transformations,  y=fx→y=-fx Here , the given function is re...

Q: Please explain it in an easy to understand way. Is f(x) = x^2 + 1 a standard form or a vertex form o...

A: Generalize the standard, vertex and factored form of a polynomial. Standard form: ax2+bx+c Vertex fo...

Q: Tangent lines Carry out the following steps.a. Verify that the given point lies on the curve.b. Dete...

A: Given that: cosx-y+siny=2                                                                         .....

Q: Suppose limx →c ƒ(x) = 5 and limx →c g(x) = -2. Find lim x →c ƒ(x)g(x)

A:

Q: Approximate the change in the volume of a right circular cylinderof fixed radius r = 20 cm when its ...

A: Approximate the change in the volume of a right circular cylinder of fixed radius r = 20 cm when its...

Q: Q10 If f(x) and g(x) are integrable functions such that: S f(x)dx = 1 , f(x)dx = 2 and S g(x)dx = 3 ...

A: (i) Using the rules of definite integral. ∫22g(x)dx=0 (ii) ∫20g(x)dx=-∫02g(x)dx=-3