2. y = 1 (tanh~' 2x)3

Q: Find the linearization L(x,y) of the function at each point. f(x,y) = x² + y² +1 a. (3,4) b. (0,3)…

A: To find the linearization Lx, y of the function at each point.fx, y=x2+y2+1 a 3, 4b 0, 3

Q: 27777 Memo No. Date 1 Mo Tu We Th Fr Sa Su Solve the following 1)√(x² + 2x²) dx if (cosx - sinx) dx

A:

Q: 5) (2,0°) -3 (4) 7) 4 ---22 -1 2 + 21 -1 D | x

A: We know that if r, θ is the polar coordinates then the rectangular coordinates is r cos θ, r sin θ.

Q: Find the inverse of the function on the given domain. f(x) = (x−5)^2, [5,∞)

A:

Q: Let R be the region inside the polar graph labeled "Inside" and outside the polar graph labeled…

A: We will find the region R covered from inside by r=8 and outside with curve r=-8+8sinθ.

Q: A lamina occupies the part of the disk æ² + y² ≤ 1 in the first quadrant and the density at each…

A:

Q: Find the equation of the tangent line to the graph of the function f(x) = sin (3√√) at the point

A:

Q: The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A:

Q: Question B2 Consider the vectors, 3 p= and q= 2 (i) Compute 3p - 5q. (ii) Find the length of p, that…

A: A detailed solution is given below

Q: Physical Applications of First-Order Differential Equations A body at a temperature of 50° F is…

A:

Q: Topic: Area of Surface of Revolution The arc of the parabola y=x^2 from (1,1) to (2,4) is rotated…

A: We have to find the surface area.

Q: 5x5 (a²-x²)6 dx 0

A:

Q: Find the area of the region in the first quadrant that is enclosed by the coordinate axes and the…

A:

Q: Physical Applications of First-Order Differential Equations A body of unknown temperature is placed…

A:

Q: 1) Find a power series representation for the function and determine the interval of convergence.…

A:

Q: Find the critical points and sketch the graph

A:

Q: Evaluate the following integrals: (show solution) a x² +2 b.) 1 x+1 x+√x c) f(sec x d.) e 4x 4x+1 x…

A:

Q: What is the period of the graph below? sto 8+ 7+ 6+ him

A: As we can see graph  Function repeat his value after every 4 point .

Q: Find critical points of ƒ(x) = x² ln(x) — 1⁄x² on the interval (0, ∞).

A: Given; fx=x2lnx-12x2 ; x∈0,∞    As we know that; The critical points of the function, y=fx can be…

Q: If the sides of an equilateral triangle are increasing at a rate of 6 m/min. How fast is the area of…

A:

Q: 3x 4. Find the member of the curve whose slope at any point is and passes through the 4y

A:

Q: dy dx 11 - 4xy, when x = 0, y = 2

A:

Q: Practice Problem Instruction: Find the coordinates of the midpoint of a segment with the given…

A: This is a problem related to midpoint of the line segment. based on the general formula and concept…

Q: Use the graph of the function y=f(x) below to answer the questions. y 5- # 3- 2+ 1- -5 -4 -3 -2 -1 4…

A: The given graph is:

Q: Find the member of the curve whose slope at any point is 2e** and passes through the point (0, 1)

A: We need to find the member of the curve whose slope at any point is 2e^(4x) and passes through…

Q: Find L(tet sin 3t) CS Scanned with CamScanner

A:

Q: 3) Which two vectors are perpendicular? a = [-10, -2, -4] 6= [3,-3, 6] = [5, 1, -2]

A:

Q: This question is designed to be answered with a calculator. A kettle of hot water, initially at…

A:

Q: Electric charge is distributed over the disk x² + y² ≤ 11 so that the charge density at (x,y) is…

A:

Q: Find Ans= dy dx for y = 3x + ex x² - 5

A: Using formula of d/dx(U/V)

Q: 12. Find the integral of S (x². √(x² + ² =) dx

A:

Q: A boy released a balloon vertically in the middle of a hemispherical dome at a velocity of 5 m/s.…

A:

Q: 3 1 L₁ dz -3 (x+2) ³0 Compute the integral:

A:

Q: Mo Tu We Th Fr Sa Su Date Evaluate the following integrals: (show solution) 1 as √ x²+2 b.) f x+1…

A:

Q: Find an equation for the plane that is tangent to the surface z = In (x + y²) at the point P(0,1,0).…

A:

Q: Evaluate ³9x³y² dydz Select one: a. 3360 O b. 1280 OC 2245 O d. 652

A:

Q: 2) Given the vectors a-[4, 2, -6], b-[6, -3, 2], and c-[-5, 0, 4], simplify the following vector…

A:

Q: 6. If fand g are two differentiable functions at x, then 7. The derivative of the identity function…

A:

Q: 2. Find the eigenvalues and eigenvectors of A = 2 1 0 1 2 1 1 2,

A: Given

Q: Find the general equation of the circle of curvature of the parametric equation t+1 X: ; y = ±…

A: This is a problem of finding equation of the circle of curvature. Based on the general formula and…

Q: 3. F(s) : = s² s4 +16

A:

Q: xp h+Z² S Select one: a. Ob. c. Od. In x² +4 + c In 2+2+c ln +4+c In 2+2+c

A:

Q: If sec2A = Select one: a. 3 deg O b. 5 deg O c. 7 deg d. 6 deg 1 sin13A' determine the angle A in…

A:

Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

A:

Q: Compute the derivative d/dx of the following functions: f(x) = x cos^2(4x)

A: The given function is: fx=xcos24x   As we know that; The Product rule: f·g'=f'·g+f·g' The Chain…

Q: Determine whether the following statements are True or False? y = f(x) 2 X (a) lim f(x) = 1 (b) lim…

A: Diagram is given. Determine whether the following statements are true or false

Q: whose equation is y³ + 2xy + x² = 9 Using techniques we have learned in our course, perform the…

A: Given query is to find the derivative and equation of the tangent.

Q: 9. f(x) = xe−2*, a = 0

A: According to bartleby guidelines I can only answer the first question of the two given.

Q: A lighthouse L is located on a small island 2 km from the nearest point A on a long straight…

A: A lighthouse L is located on a small island 2 km from the nearest point A on a long straight…

Q: Find the derivative of 4Inloge*

A: