5. y = Arctan² (x³) '2х-1 6. y = Arccos 3x+1/

Q: Convert the point (r, 0) from Polar to Rectangular Coordinates (x, y). 1. (3, 7/6)

A:

Q: Solve the equation: Зx(ху — 2)dx + (х3 + 2у)dy %3D 0. O x³y – 3x² + y? = c O 3xy – 3x? + y² = c

A: Here is the solution

Q: Find the gradient of the function at the given point. 2 = In(x2 – y) - 9, (2,3) Vz(2, 3) = Need…

A: This is a problem related to derivation. Please follow the procedure given below for solution.

Q: integrate all of this and show your solution: 1.  ꭍx^(-2)dx 2.  ꭍ√(x^2 ) dx 3.ꭍdx/xlnx

A:

Q: The number of milligrams D (h) of a certain drug that is in a patient's bloodstream h hours after…

A: To solve the given problem use the following formula. ln (e x) = x

Q: 1.(a) Do there exist integers a, b, c such that gcd(a, b) = 30, gcd(b, c) = 24, gcd(a, c) = 54?…

A: (1) gcda,b=30=2×3×5  ...(1)gcdb, c=24=23×3    ...(2)gcda,c=54=2×33     ...(3)

Q: It is determined that the value of a piece of machinery declines exponentially. A machine that was…

A: A machine that was purchased 5 years ago for $66000 is worth $36000 today.

Q: Solve the equation: xydx + (x² + y²)dy = 0 O y?(2x² + y²) = c O 2y(2x² + y²) = c

A:

Q: Question For the function given below, which statements concerning Rolle's theorem are true? f(x) =…

A:

Q: Find the following. (0, 1), v = (5, -3) (a) u|| (b) ||v|| (c) |u + || (d) |ll M (e) u+ v (f) |u+ v

A: Given  u = 0, 1, v = 5, -3

Q: Find the diameter of the circle 4x? + 4y² + 24y – 4x – 35 = 0. B. 6V2 C. 3V6 A. 6V3 D. 3/2 E. None…

A:

Q: 11. y'+3y = 3x2e-3x %3D

A:

Q: Describe the graph of the equation. r = -9i+ tj + (r² – 1) k O It is a parabola in the x = –9 plane,…

A:

Q: Solve the exponential equation. Express irrational solutions in exact form. (7/5) ^ x = 9 ^ (1 - x)

A:

Q: Find a and b such that v au + bw, where where u (1, 2) and w - v- (0, 6)

A:

Q: Determine if the series converges or diverges without using the different tests discussed in Lesson…

A:

Q: A region bounded by f(y) = 2y, y = 1, y = 3, and x 0 is shown. What is the volume of the solid…

A:

Q: nin m Find the distance between the point and the line given by the set of parametric equations.…

A: This question is based on 3-d line.

Q: Let C = (1,–3, 2) and D = (-1, 2, – 3, ). Find the following. (a) The cosine of the angle between D…

A:

Q: Verify that the two planes are parallel. -x + 6y + 2z = 4 -*+ 3y + z = 5 Find the normal vector, n,,…

A:

Q: Find the derivative of the function described. (Rx5) 3x-1 2. f (x) = 2x+4

A:

Q: Determine

A: We have to determine the given series is converges or diverges

Q: dx 7. S; x³ Vx2-4

A:

Q: If A and B are similar, then there exists a matrix P such that Bk = P-1AKP., Use this fact to find…

A:

Q: V9x2-12x +11 Evaluate lim x-1/3 3.x-1 -2 O NONE OF THESE O O o O O

A: To evaluate the following limit.limx→-13-9x2-12x+113x-1

Q: Verify that the two planes are parallel. -x + 6y + 2z = 7 %3! +3y +z 8 Find the normal vector, n,,…

A: We have to check whether the given plans are parallel or not or we have to find distance between the…

Q: Evaluate the line integral fe 3y dx + z? dy + (25 - x) dz over the quarter of the circle of radius 5…

A:

Q: Use the Limit comparison Test to establish the convergence ovpodivergence ofthe the Sum from Series…

A:

Q: Find the direction cosines and angles of u and show that cos a + cos B + cos? y = 1. (Round your…

A:

Q: d Calculate ri(t) r2(t)] and ri(t) x r2(t)] first by differentiating dt dt the product directly and…

A: The given problem is solved below in detail.

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D %3D v (0, 6) %3D b =

A:

Q: The hypotenuse of a right triangle is 45 in. The sum of the lengths of the legs is 9 in. Find the…

A: The hypotenuse of a right triangle is 45 in.The sum of the lengths of the legs is 9 in.

Q: Use limits to determine all the linear asymptotes of 3r2 if I1. x² + 2x – 3'

A:

Q: Examples: Find the limits of the following: 1. lim sin x = sin1 = 2 5. lim sec x = lim cos(-) = cos0…

A:

Q: Find a and b such that v-au bw, nhere u-(1, 2) and w- (1. -1) v - (4, 5)

A:

Q: Give the curve r = 3 cos 0 a) Find the points on the given curve r = 3 cos 0 where the tangent line…

A: Explanation of the answer is as follows

Q: 1. Find and classify the critical points of the following functions. (a) f(r,y)=+ - y %3D (b) g(x,…

A:

Q: Find the derivative of the function. 6x - 7x2 + 4 f(x • x³ - 3 f'(x)

A:

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: an=nqen limn→∞an=limn→∞nqen = 0 [when x tends to infinite ax>xa (where a is positive constant)]…

Q: Verify that the two planes are pārallel. -x + 6y + 2z = 7 x + 3y + z = 8 2. Find the normal vector,…

A: -x+6y+2z=7 ------(1) normal vector n1 for plane -x+6y+2z=7 n1=<-1,6,2>   or -1 i+6 j +2 k…

Q: Use the Quotient Rule to find the derivative of the function. See Examples 4 and 6. 6t? - 5 f(t) :…

A:

Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

A:

Q: sequential convergence Lim 3-8n h-oo n+2

A:

Q: Q1. Choose the correct option: a) Let f(x) = |x]. Then at x = 0, the function f(x) is: %3D (A)…

A: This is a problem of limit and continuity parts. Please find the solution below.

Q: (b) Determine the by using the Chain rule with the following information: z = cos (x"y^) – sin (z +…

A:

Q: Solve for the function f(t) of the Laplace transform. S-1 F(s) (s+1)(s²+4)

A:

Q: 2x) dx Find an approximation to the integral using a Riemann sum with right endpoints and n = 8.

A:

Q: Describe the graph of the equation. r = (8 - 3t) i - 14t j O It is a line in 2-space that goes…

A: Let's find.

Q: I need some help with this question. Thank you :)

A:

Q: 6. Rewrite the following as a single trigonometric function: sin? x COS x + COS x (Hint: Use the…

A: Topic = Trigonometry