s(x) = X-4 Find the x-values (if any) at which the function is not continuous. Which of x2-2x-8 the discontinuities are removable? O A) x=4 (non-removable), x--2 (removable) B) x=4 (removable), x--2 (non-removable) O C) x=-2 (non-removable) D) no points of discontinuity E) x=4 (non-removable)

Q: An object thrown vertically upward from the surface of a celestial body at a velocity of 48 m/s reac...

A: According to guidelines we can solve only first 3 subpart. Please repost next parts.

Q: 1- 2x b) f(г) — x² + 1

A: (b) To find the derivative of  f(x)=1-2xx2+1 The function is of the form f(x)=uv where u and v are f...

Q: In each case, determine whether or not the lines have a single point of intersection. If they do, gi...

A:

Q: 2 cos(За? + 5) + [62? + 2] (а) lim За2 + 5 0)2

A:

Q: Use Stokes' Theorem to calculate the integral / curl F · dà where F = -5yi+ 5xj + (xy+4 cos z)k and ...

A:

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = x2 + y2 + x²y + 5, D = {(x...

A: We will use the following concepts       

Q: Evaluate the integral tan 4x dx tan? 4x 24 O 1 sec 4x Arcsec + C - Vtan? 4x – 24| +C n tan 4x + 1 -A...

A:

Q: -2 3. Integrate: [8x°e"-2 dx = du - e* 4x°dx 2 du = dex?. 4x° dx 4 3 2ou 8 ex".x°dx

A:

Q: Evaluate the integral tan 4x S- Vtan? 4x - 24 O 1 Arcsec sec 4x + C 5 sec 4x + C 5 O 1 Arcsec 20 1 A...

A:

Q: dx Evaluate 6e* cos (3e *) O 2 [In |sec(3e-x) + tan(3e-|] + C In |sec(3e-M) - tan(3e-|] + C O -18 [I...

A:

Q: A community had an initial population of 6000 people in 1990.  Now assume that the population decrea...

A: topic- exponential function

Q: y = x² cos sec 3 -1* 2

A:

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x) =...

A:

Q: Sketch the region of integration and change the order of integration. (x, y) dy dx f(x, y) dx dy

A:

Q: Consider the following rational function: anx" + an – 1xn-1+ ... + a1x + ao f(x) bmxm + bm - 1xm-1+....

A: The rational function,      fx=anxn+an-1xn-1+....+a1x+a0bmxm+bm-1xm-1+....+b1x+b0

Q: The demand for a company's e-reader can be approximated by g(p) = 21e0.02p million units per year (3...

A: Solution is here 

Q: dx Evaluate -1 x2 - 0 -2

A:

Q: S Зх-5 Xp- (3х- 1)(х - 3) Given: Find: u Ох-3 Зx2- 10х+3 3x2 +3 Зх-1

A:

Q: Graph the function f(x)=−4x2f(x)=-4x2 and draw the tangent lines to the graph at points whose x-coor...

A:

Q: arctan(xy) = arcsin(3x + 3y),    (0, 0)   find an equation of the tangent line to the graph of the e...

A:

Q: Csc- X S- /cor?(x)- acot(=x) + 4 Given: dx cot(슬x)+.

A:

Q: solve the following second-order differential equation. Make sure your solution set does not repeat ...

A:

Q: Question 1 Find the derivative and simplify y cotVt-1 Oy-- Oy= - 2tt-1 1 2t/t-1

A:

Q: Solve the differential equation with appropriate method. Simplify final answer free of fractions and...

A:

Q: A vertical wall makes an angle of radian measure ?r with the ground. A ladder of length 20 ft is lea...

A: Let's find. 

Q: Determine the Laplace Transform of the functions shown and simplify.

A: We can evaluate the Laplace transform of the given function by using the following formula.

Q: Given: [ Scos(cos2x) sin2x dx Find: du O 2cos2x dx O -2sin2x dx -2cos2x dx O 2sin2x dx O O

A:     ∫coscos2xsin2xdxLet u=cos2x.So,     du=-2 sin(2x) dx

Q: Evaluate x2 + y? – z dS where S is the part of the cone z? = x2 + y² that lies between the planes z ...

A:

Q: Solve for the maximum and minimum values for ∫(x^3−2)/3dx. (Upper limit is 1 and lower limit is -2

A:

Q: List the first five terms of the sequence : (-1)"n an n! +2 a1 = Number a2=Number az = Number a4 Num...

A: Given query is to find first 5 terms of the series.

Q: Suppose that f(x, y) = 5x + 2y on the domain = {(x, y) | 1 < æ < 2, a² < y < 4}. D D Then the double...

A:

Q: Solve the differential equation with appropriate method. Finalize answer free of fractions in each t...

A:

Q: An aircraft is flying at 330 ft/s with an elevation of 180 ft from the ground, on a straight-line pa...

A: Question- An aircraft is flying at 330 ft/s with an elevation of 180 ft from the ground, on a straig...

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, Y...

A:

Q: 4. If f is a differentiable function of x and y with w = f(x, y), x = r cos 0 and y = r sin 0, show ...

A:

Q: Which among the following is an improper integral? 1 A x[In?(3x) – 4] Inx x[In*x- 1] ` .0.5 1 dx -0....

A:

Q: y 2 y = sec? x y = sin(4x) → X T/8

A:

Q: minimum values and saddle point(s) of the function, If you have three-dimensional graphing software,...

A:

Q: 1 6. Evaluate the given integral using suitable substituion COs(V도+ 3) dr

A:

Q: Evaluate the following improper integral. Give an exact answer. 1. dx 2/3

A:

Q: A thick spherical shell occupies the region between two spheres of radii a and 2a, both centred on t...

A:

Q: y(x² – y² + 1)dx – x(x²-y² – 1)dy = 0

A: Exact differential equation

Q: •tan(e-x) Given: ex Find: du exdx e-*dx - exdx O -e-*dx

A:

Q: y 4 A y = 4* 3 2 y = 2* 0.5 1

A: Given query is to find the area of shaded region.

Q: Find the point on the plane 2x+7y+8z-14 =0 closest to the point (-3,3,1). The point is (Simplify you...

A:

Q: Given: x2 dx Find: Formula o fa"du q"du o fe"du "du

A:

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region...

A:

Q: In (1 - 4x) = - In (1 - 4x) = ア- 4n O In (1 – 4x) = - 4n In (1 - 4x) = Identify the interval on whic...

A: To find the interval of convergence where the series is valid .

Q: Find the values of c that make f continuous everywhere: S2² - c | cr + 8 if z 14 smaller c = O 8 O ...

A: The objective is to find the values of c that make f continuous everywhere.

Q: 3 sin? 4t + 8 cos² t

A: Solution: L{3sin24t + 8cos2t} Use the following identity : sin2x=12-cos(2x)12 =L{312-cos(2·4t)12+8co...