Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 5 sec(x), y = 5 cos(x), 0 sx s a/3; about y = -5 V =

Q: x2- 1 If A = limx→1 х + 6x2 — 5 and B = limx¬c0 then х — 1 х4 + 6

A:

Q: 2z2 + 7z +4 Let f(z) = 1³ + 2x² + 2z [1] (a) Write the general form of the partial fraction…

A:

Q: 5. * 1 dx х (In x)3 1 + C 2 (In x)² 1 + C 3 (In x)2 A C 1 + C 2 (In x)? B D z+C 3 (In x) O A В E…

A:

Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate…

A:

Q: Find the area of the surface generated by revolving x = 6t and y = 4ť (0 < t < 1) X

A: answer is in next step

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y² + 8, (2, 1) Vf(2, 1) =

A:

Q: sy-y+1 when y-5 y=-1 Evaluate

A: The given expression 3y2-y+1

Q: S16 -X2 dj dx x?+y?

A:

Q: Consider the function f defined on the domain -0.5 s x s 0.5 with f(0) = 1, and 0.5 lim h 0 f(x+h)-…

A:

Q: Use the figure to estimate the limits if they exist. 30+ 20 10 -10 10 20 30 If the limit does not…

A:

Q: g (x) .5 Compute g(1) + g' (1) + g" (1) + g" (1) + g'

A:

Q: ind the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to…

A: Given problem:- u= 7i+j v=-6i+8j To find:- Angle between vectors in radian and degree

Q: find the LaPlace Transform, L{f (t)}, the given f (t). f(t) = t cosh 3t s2 s2- 9 s²+ 9 s2 А. (s² –…

A: Given that ft=tcosh 3tTo find :Laplace transform Solution :cosh 3t=e3t+e-3t2let ut=cosh 3tℒut=ℒcosh…

Q: 4. Find the equation of the tangent to h(x) = x´sin(2x) at x = 1 [no unit circle needed]

A:

Q: 4,y² – 25 3. dy 4. V21+4z-z? dz

A:

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A:

Q: 21.3 xdx V16 - 9х4 0.

A: We to integrate the given integration.

Q: 10 (vi) / 1+ x dx x2 + 100

A: The given integral,     ∫0101+xx2+100dx

Q: x ys dA X² +1 R.

A:

Q: S16 -X2 メー dy dx + x?+yz

A:

Q: y = |x|, y = x² – 1, x = -1, x = 1 - г2 — 1,

A:

Q: At a time denoted as t-0a technoliogical innovation is intreduced into a community that has a fixed…

A:

Q: 5. The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute. Find the…

A:

Q: 2-use Cramer's rule to solve the system 3tan²x+y=3 2 tan’x -3y=13 X.

A: Given equations, 3tan2x+y=32tan2x-3y=13we know thatfor system  of…

Q: Find the gradient of the function at the given point. w = x tan(y + z), (17, 6, -3)

A:

Q: arcsin(sin 30 ) = 1 2 O1 O -1 O 30

A: Given:        arcsinsin30∘

Q: 6 arcsin(sin 40 ) = _____. -40° -220° 40° 220°

A: Solve the following

Q: A cost​ function, C(x), is given below. Find the average cost per item when the required number of…

A:

Q: Find the centroid of the region lying between the graphs of the functions y = 11 sin(x) and y = 11…

A:

Q: Determine the Riemann sum that represents the illustration below. The function is Ax) = x2 + 1. .Y…

A:

Q: Evaluate y = arcsin. 품

A: Given

Q: Let A be the area of a circle with radius r. If dr/dt=5, find dA/dt when  r=2.

A:

Q: The function:  f(x)=2x^3−36x^2+210x−3 has two critical numbers. The smaller one is x= The larger…

A:

Q: What is the a value of x such that sinx = .? 3 = 24.5° = 53.6° = 41.8° = 38.7°

A:

Q: Assume that in the absence of immigration and emigration, the growth of a country's population P(t)…

A: In the absence of immigration and emigration the growth rate of the country is given by dP/dt = kP…

Q: 4х if х> -1 f(x) 3D { 5 — х2 if b < x<-1 Зх + 7 if x < b

A:

Q: If 11 | f(z)dz 7 70 and 11 g(x)dr = 14 70 and 11 h(r)da = 33 70 what does the following integral…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A:

Q: e^x + y)dx +(2 + X + ye^y)dy= 0 ,y(0)=1

A:

Q: Q11. Obtain the general equation of the curve whose slope at any point is equal to y - 2x.

A:

Q: If 3 h(u)dv = 13 and / h(v)dv = 6.1 5. what does the following integral equal? | h(v)dv = 6.

A:

Q: white the funetion in the form flx)- for the given value of K, and demon c flx)= r 2 flx)= x3-x-14x…

A: Given    q(x) is the quotient when F(x) is divided by x + 1 and r is the remainder.

Q: 3m 5. rad 9. 1.1 rad 13. 1.6 rad 4 6. rad 10. 3.1 rad 14. 2.1 rad 2- rad 3 11. 0.50 rad 15. 0.091…

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: First take general equation of plane passing through any one point. Then solve for other point . And…

Q: 1-cosx The value of limx→0 by using series is 1+x-e

A:

Q: 10. Find the first partial derivatives of the following functions (it is not necessary to simplify).…

A:

Q: 4) rotation 90° clockwise about the origin YK U

A:

Q: (x) = sin(x) ompute (5) + * (5 ) + x" (;) IT 2

A:

Q: Find the equation of a cosine curve that is obtained by shifting the graph of y = cos(x) - to the…

A:

Q: Use synthetie division to show that X is of the thiRd - degree polynomial equation , and solution…

A: Given problem:- x3 -3x2 +2=0  And x=1+√3 is one root then using synthetic division factor given…