T sec"(evE + 1) dx Vxe-Vx

Q: y+1-2 dy

A:

Q: (ysin x+xy cos x)dx+(xsin x+1)dy = 0 Ans. xy sin x+ y = c

A:

Q: Hello! Please help me answer these with full solutions. Thank you!   1. Show that the absolute value…

A: Topic = Functions

Q: 2

A:

Q: Simplify cos(arctan-1) O no solution O-V2/2 -V2/2 O V2/2

A: Solve the following

Q: 5dz (z+4)Vz+1

A:

Q: Find the derivative of the following functions from first principles. (i) x (ii) e* (iii) log (x+ 1)

A:

Q: Find the composite functions (f • g) and (g ). What is the domain of each composite function? (Enter…

A:

Q: d the vector component of v = 2i – j+ 3k along b = i+ 4j + 8k and the vector component of v…

A: We have to find the solution

Q: Find the area of the triangle with vertices P(1,5, –2), Q(0,0,0) and R(3,5, 1). NOTE: Enter the…

A: To find the area of the triangle with vertices P1, 5, -2, Q0, 0, 0 and R3, 5, 1.

Q: 1 Find parametric equations for the path taken by a point the distance between the centre and the…

A: The given question has been solved in detail

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: Determine if the following statement is true or false. The lines L and L2 are skew. L:x= -1+ 2t, y =…

A:

Q: 2. Use the fundamental theorem of calculus part 2 to compute the integral 1° dr. 0,

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: topic - application of derivatives

Q: 1) Determine whether the following series is convergent or divergent: 1 1+ 8 1 1 1 +... 125 27 64

A: We have to find the convergence test

Q: Choose the graph of the function "arccot(x)".

A:

Q: rd) Stote the domaln and ronge of fand/. (Enber your answers using Interval notation.) Domaln of f…

A:

Q: 7. Find the general solution of the following differential equation: V1 + x²dy – xydx = 0.

A: Explanation of the answer is as follows

Q: Suppose at t minutes, r(t) meters is the radius of a circular oil spill from a ruptured tanker and…

A: The given data is: rt=4t2+20,    if 0≤t≤216t+4,     if t>2 To prove that r is continuous at 2.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: 9. sin“ x cos“ x dx

A:

Q: If R is the region æ² + y² < 4, then Sp(æ² + y³ ) dA = S* L r² dr d0. 2

A:

Q: Which of the following parametric functions create this graph? -4- -2- -2 2 -2 -4. x (t) 4 cos(t)…

A:

Q: The function f is shown below. What is the value of f(x) dx? Write your answer in simplest -5 form.…

A: The detailed solution is mentioned in the step 2

Q: only do a) and c)

A: The population (in billions) of the world t years after the year 2000 is given by the logistic…

Q: A closed rectangular box with a volume of 1296ft is made from two kinds of materials. The top and…

A: answer is in next step

Q: 285 16.

A: answer is in next step

Q: Use synthetic division to show that x is a solution of the third-degree polynomial equation and use…

A:

Q: V4v? -9 dv

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: Find all solutions of the system of equations. (If there is no solution, enter NO SOLUTION.) S 3x² -…

A: topic - linear equations in two variables

Q: 4. V21+4:-z dz

A:

Q: Find the gradient of the function at the given point. w = x tan(y + z), (13, 7, -5) Vw(13, 7, -5) =

A:

Q: 21. ( (3r'- + 30) dt

A: We have to find the solution

Q: 27. x(2 + x') dx Jo

A: integration

Q: 3 Simplify cos(arctan2). √5/5 no solution 2√5/5

A:

Q: 2. Vy+1-2 dy

A: ∫vn dv = vn+1n+1+C

Q: dy

A:

Q: Determine whether the lines L and L2 are parallel. L1: x= 2-3t, y = 3+ t, L2: x = 4- 12t, y= -3 +…

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A:

Q: Discuss the continuity and sketch the graph. x-2 if x1

A: as per our guidelines we can answer only 1 question do kindly repost the remaining questions…

Q: Determine whether the improper integral 3-2x) /2 dr onvergent or divergent.

A: We have to find the integral

Q: k If P- q and pq=-, then p²+q² equals 2 A k/25 B 25+k c) k D) 25k

A:

Q: Simplify arcsin 3. 享、 3 no solution

A:

Q: 12. A. If possible, give an example of 2 divergent sequences an and bn such that E(an + bn) has a…

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: good

A: We will solve the integration using integration by parts.

Q: Find the 2 possible pairs of polar coordinates for the following rectangular coordinates. а) (-5, 0)…

A:

Q: 30. | (Зи — 2)(и + 1) du

A: