(29) Evaluate the integral: r/3 csc? xdx. (30) Find the derivative of the integral function: g(x) sec 3t tan 3tdt. Leave your answer unsimplified.

Q: e) What are the domain and the range for this situation?

A: Topic:- calculus

Q: x²(3 –4x)dx -4 318 338 358 378 None of the Above

A: Given: I=∫-4-1x23-4xdx   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: Name: Tu3pg07 Exponential Transformations Practice: For each exponential function list the yalues of…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: [1 2 1] Given A = 2 3 1 4 0 1] x, C =-2 1 o and D=[2 1 4]. 5 B =-2 w 3 4 2 y 3 z [-2 a (a) Find the…

A:

Q: Write in logarithmic form. 45/2 = 32 log 232 O A. = 4 log 54 5 O B. log 432 = 5 Oc. log 54 = 2 5 O…

A: We want to write the given expression in logrithmic form.

Q: 1 (27) Evaluate the integral: (5t + 4)2.7

A:

Q: Question Given F(x) below, find F' (x). I o+2) di F(x) = Provide your answer below: F(x) = O…

A:

Q: Find an equation ( in point - nomal form) of the plane containing the point (1.-3, 5) and the line…

A:

Q: Find the cofactor of the element a22- 3 4 4 - 2 -1 1 1 4 1 О А. -8 О в. 8 С. - 1 O D. 1

A:

Q: Зx2 — 2х + 2 x(x² + 1)

A: Given,  ∫ 3x2-2x+2x(x2+1)dx

Q: Q3): If x fx + yfy = nf show that x²fxx + 2xyfxy + y² fyy = n(n – 1)f %3D

A:

Q: In R', the equation x² + y + z? = 4 describes a sphere of radius 2. Select one: True O False

A:

Q: 0.3 0. Use appropriate series to estimate |In(1+x') dx to 6 decimal place accuracy

A:

Q: (zx" xy') dx-3xy dy 2-

A:

Q: uppose that w = f(x, y, z), where z = r(u, v), y = y(u, v), and z = z(u, v). 'hich of the following…

A:

Q: Cassandra has the following information about f(x) and g(x): f(æ) = x →4 - 4, lim g(x) = 6. x →4 lim…

A: This is a problem related to limit. Based on the limit properties we will answer the question. As…

Q: 2. Define f, g: R → Ras if x 3 %3D and g(x) = 8x – 1. Flnd f •g and gof.

A: (fog) (x) = f(g(x))                = f(8x-1) =(8x-1)^2  if x<-1                                =…

Q: lim - Evaluate the given limits using L'Hôpital's rule/Squeeze theorem: 1 lim X→0+ ех-1, 1 lim x cos…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first question. If you…

Q: 13. A and B are unit vectors with an angle of 45° between them. Calculate the value of A - 2B Round…

A:

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

A:

Q: a. Give an example for a commutative ring without identity. b. True or False: Every ring is a group.

A:

Q: Evaluate the integral: 2 x2 ) dx (23+1)? Input answer as decimal. Round off to 2 decimal places.

A:

Q: 3. Determine if triangle ABC is a right triangle. Show and explain your work. A = (5, 6) B = (0, 2),…

A:

Q: Determine the series converges, if so, Find its cum. whe ther 1 a. (k+2) (K + 3) k = 1

A: The given series,     ∑k=1∞1k+2k+3

Q: 2. Find the volume of solid generated by revolving the area bounded by x=y2+2, x=0 and y=2 sbout: a)…

A: Given problem:- Find the volume of solid generated by revolving the area bounded by x = y2 + 2 , x =…

Q: Given F(x) below, find F'(x). 3x2 F(x) = -dt t-1 3 Provide your answer below: F(x) = %3D FEEDBACK…

A:

Q: Evaluate the limit In(x) lim x²-21x+20 X-1 X O a. 21 1 O b. -19 Ос. 21 O d. None of these. е. 1 19

A:

Q: Use a sum or difference formula to find the exact value of the following. tan 109° – tan 64° 1+ tan…

A:

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: Given; x + y = 5      ,    y = 0   ,  x = 0 Volume (V) = ? Rotated about y = 0

Q: dy =-2x tan y, 1- y(0) = 1/2. dx 2- 2 ydx CSOS 3- e*dx-ydy 0, y(0) = 1

A:

Q: 3 * 12(In x)³ dx

A:

Q: If f(x, y) = e“ sin(4y) then: 4 sin (4) 4 cos( 4) V f( – 1, 1) . el el

A:

Q: the solid obtained by revolving the region bound ed by Find the volume OF about the X - axis the 2…

A: The region bounded by the x-axis, y=x2,x=0,x=2 is:

Q: Suppose that f(z, y) = z² - zy + y? – 5z + 5y with z? + y? < 25. 25 1. Absolute minimum of f(x, y)…

A: We have to solve the maxima minima problem.

Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

A:

Q: INO Practice Exercises: Find the volume of the solid generated when the plane region bounded by axis…

A:

Q: 8. Find the inverse function of: f(x) =- 64

A:

Q: 3 csc 6x 07. lim,-n12 'xn/2 csc 2x

A: Given;  Limx-pi/2  3 csc6x/(csc2x)

Q: 9) Evaluate || sin (y') dA , R: the region bounded by y=Vx, y=2 R & x=0. Š įysinx'dxdy ans:-(cosl-1)…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: -1 x-x2 dx -8 2도 1423 1521 22 20 Option 1 Option 2 1425 1523 22 20 OOption 3 Option 4 None of the…

A: Given problem:-

Q: Q3/ The dimensions of a rectangular solid at a given instant (t.) are: L(t.)= 13 cm. W(t)-9 cm.…

A:

Q: (2r+1)dr 5. S r2+2r+1 3r+5

A:

Q: If A is a vector representing 50 km/h northeast, what is A ? c. 30 km/h northwest a. 30 km/h…

A:

Q: Let f R R be continuous and let F be an antiderivative of/. If F) dr = 0 for some k > 1, then xf (x)…

A: This is a problem of integration. Based on the general formula and concept we will answer.

Q: 11. Given đ = (2, x, –3) and b = (5,–10,y), for what values of x and y are the vectors collinear?

A: We have to find the values of x and y for which bothe the vectors are colinear

Q: The rectangular coordinates of the point Pare (V3,-1, 2). In the cylindrical coordinates of P the…

A: Given

Q: Let y be defined implicitly by the equation 8a? – 10y = 7 Use implicit differentiation to find the…

A:

Q: Construct YOUR OWN example of how to determine the derivative of a given function and the process…

A: To write an example to how to find out the derivative and anti derivative.

Q: find eigenualy gse for -57 to -구 -4 26

A: I have appended the formula used in the solution part.

Q: The interval of convergence of the series (4x-12)" is Zn=0 -3)-+" (n+1) Select one: True O False

A: We can find the interval of convergence by using the ratio test .