of convergence of too0 n 3"x" na n Find the interval the power series

Q: Use the chain rule to find where st the pieces: z = x²y + xy², x=3-t³, y=3-t6

A:

Q: Find the dimensions of a rectangle with area 1,728 m² whose perimeter is as small as possib m…

A:

Q: Find the area contained between the two curves y = 3x - x² and y=x+x². 71/6 81/5 91/4 62/3 None of…

A:

Q: Q2: find the Laplace of the following functions: a- f(x) = (cosw, for 0<t< (o for,=<t<² 0

A: If ft is a periodic function with period T, then        Lft=11-e-sT∫0Tft e-sT dt So,…

Q: 3. You are tasked with designing a cylindrical can. The material for the top and bottom of the can…

A:

Q: Given I(0) = cos (0 + π), (a) Find I(-) analytically. (b) Find I' numerically by using a central…

A: Given: Iθ=cosθ+π. (a) Differentiate with respect to θ, I'θ=-sinθ+π…

Q: Derive implicitly—Implicit differentiation. Please show a detailed solution. Also, comprehensive and…

A:

Q: Find the line integral of F= 2√zi-4xj + 3√√yk, from (0,0,0) to (1,1,1) over each of the following…

A:

Q: Question 5 Given the function y = f (x) defined at all real values of x. Let x = 2, 3, 5 and 7 are…

A:

Q: Find dy/dx, if y= (3+cos x) ^(2x+1)

A:

Q: (a) For a certain curve, y"=2. Find its equation given that it passes through P(2, 6) with slope 10.…

A: Note: according to the company policy we can attempt only one question so please upload the next…

Q: Consider the general solution of a differential equation is y=C₁x-C₂ ln x² find C₁ and C₂ when…

A:

Q: evaluate lim x →0 sin x-x 3 x

A: Given, limx-&gt;0 (sin x -x)/x³ SInce we have a indeterminate form, Applying l'Hoptials rule we…

Q: Find the equation of the family of curves having the given slope, and the equation of the curve of…

A:

Q: Find the 1) Sketch the ii) Determine the ::::.) Set-up iv.) Integrate 2 ²) y = x ²²₁₂ y = 2 = x₁…

A: Given problem:- Find the area bounded by curves y=x2 , y=2-x, x≥ 0

Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

A:

Q: 3. [7.3] Determine the dot product between the two vectors below if there are 135° between them as…

A:

Q: valuate £₁² (2x + 3e* − 1) dx a. 12.43 b. 13.45 c. 14.24 d. 15.23

A: We will solve the problem.

Q: Let w = (2, − 1, 1), v = (− 4, − 5, 1), and u = (6, − 2, 2). Find u × (v × w)

A:

Q: Consider the function f(x,y)=-2x²+12x-6y²+4y+4xy+24. (a) Find the partial derivatives of f(x,y).…

A: As per guidelines, I can answer maximum three sub parts of a question. To know rest, please repost…

Q: In a certain country, the number of people who drive electric vehicles can be mod the function P(t)…

A:

Q: 2 Find the area bounded by the parabola y = 4x and the line y = 2x - 4.

A:

Q: Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is…

A: Let's find lowest and highest temperature by using langrange multipliers.

Q: Calculate the area of the segment cut from the curve y = x(3-x) by the line y = x. 2 sq. units 1 and…

A:

Q: 1-√3-x 4. lim. x→2 4-x²

A:

Q: As part of a chemical experiment, a scientist determines that the number sodium in a chemical…

A:

Q: Solve the DE using laplace transformation: y''(t)-y(t)=4cos(t); y(0)=0, y'(0)=1 the answer should…

A:

Q: Vector a is expressed in magnitude and direction form as a =(√33, 130°). What is the component form…

A: We want to find component form of the vector.

Q: 8 9 - 4e²™ dx Please approach doing this integral by hand with the following steps: First, make a…

A:

Q: 3. Find f'(z) and f"(x) if f(x) = lnx + 2 cos³ r.

A: topic- derivative of a function

Q: Using the letters in the word COSINE arranged in random order, what is the probability that the…

A:

Q: Test for convergence / divergence. Find the limit if result is convergence.

A: As you have asked multiple subparts so I have answered first three subparts as per the guidelines

Q: - 6 = ₁6 -X

A:

Q: 1) If y = (x-a)√2ax-x² + a² sin-¹(*), then y' = 2√/2ax - x² a a is constant. 2) If f(k)= k√a²-k² +…

A:

Q: You deposit $2000 in an account with 4% annual compound interest. Complete the following, assuming…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the lines and curves y =…

A:

Q: A car is slowing down at the rate 0.8 ft/sec². How far will the car move before it stops if its…

A:

Q: Evaluate 0-2²-²4 where is a unit cele centered at the origin

A:

Q: What constant acceleration is required (a) to move a particle 50 ft in 5 sec; (b) to slow a particle…

A:

Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the…

A:

Q: Find the domain of the function of 5 log₂ (4-x²)+11 f(x) = 12x-31-2 + sin¯¹(1 − 2x) Express your…

A:

Q: Help

A: We will solve the problem

Q: Evaluate the following integral: a.) SIS z ln y tan z dV if S = {(x, y, z) = R³ : − 1 ≤ x ≤ 0, e ≤ y…

A: S is a rectangular cuboid, hence limit of each individual are independent so the integral are…

Q: trahedron enclosed by the coordinate planes and the plane x+2y+z= 8.

A:

Q: 3. SET-UP the definite integral that will give the area of the region specified using (a) z as the…

A: topic- area bounded by curves

Q: reply as soon as posible.

A: To find out the conservative.

Q: Set up the integrals (No need to compute) for the volumes of solids of revolution by revolving the…

A: Given

Q: or

A: Solution

Q: B. Find the derivative of each of the following functions. 14. f(x) = x² + 5 3x + 2

A:

Q: Sort St Question 2. Evaluate the following integral region). Show all your work! cos(x²) dx dy. Make…

A: