If √²₁ √√1-y² x² + y² dxdy is changed to equivalent integral in polar coordinates, then the resulting of integral is T/8 O 2₁ O π O π/2 TT/4 O

Q: a. secx dx /In(secx + tan x)

A:

Q: a $0.9062 cos (1-√3x) dx = = : -0-1 a=0.5968

A: We have given a definite integral problem

Q: Find h'(x) when h(x) = (3x + 1)³, then evaluate h'(x) at the point (1,64)

A:

Q: The population of a city is 89​,000. If the population grows continuously by 3.2​% per​ year, in how…

A:

Q: Use implicit differentiation to find the slope of the tangent line to the curve 9xy³ + Sxy=14 at…

A:

Q: SOLVE THE EQUATION X = ex-1

A:

Q: y ′ + xe y = 0.

A:

Q: Find the area of the region bounded by y² = 8x and y = 2x. A. 1.22 sq. units B. 1.33 sq. units C.…

A: We have given two curve in above problem. We have to find area between them

Q: b.) Draw the projection on a xz plane Show solution for the equation 4 اس -2 7 z 3 2 0 -2 1 2 c.)…

A:

Q: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

A: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

Q: and and the following table: to = f(to) = A. If we use n = 4 subdivisions, fill in the values: At =…

A:

Q: Solve the initial value problem y" + 6y' + 9y = 0, y(−1) = 5, y'(-1) = 2. y(t): =

A:

Q: 1 Estimate the error if P3(x) = x - x³/6 is used to approximate the value of sin x at x = 0.1.

A: We have to find the error.

Q: 5. How many solutions are there between planes P₁: 2xy + 2z = 2 and P₂: -x + 2y + z = 1? If there…

A:

Q: 6. Show whether the series is convergent or divergent. Σ in! n=0

A:

Q: 3x2+4 х3их н dx

A:

Q: Find the mass of the portion of a sphere in the first octant with radius 1 and density function…

A:

Q: For a person learning to type, the number N of words per minute that the person could type after t…

A: We have to find rate of improvement as per given question.

Q: [5] The graphs of f(x) (in red) and f'(x) (in blue) are shown. Determine.... 1. [4.1, 4.2, and 4.3]…

A: Let's solve.

Q: x² + 2x x4 - 3x² - 4 S dx

A:

Q: u. V. x + 3 2x³ - 8x S - dx x² dx (x − 1)(x² + 2x + 1)

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

Q: If it cost $10 to fill a gas tank in 1990, how much would it have cost to fill the same tank in…

A: Here we will calculate the price in 2000,

Q: INTEGRATION OF 1/1+TANX

A:

Q: Problem 3. Solve below definite integrals f (d) In(r) I dr.

A:

Q: Find the specific function values f(x, y) = x^2 + xy^3 a)f(2, 3) b)f(−3, −2)

A: Find the specific function values f(x, y) = x^2 + xy^3 a)f(2, 3) b)f(−3, −2)

Q: a) Find a and c so that (a, 1, c) is a point on the line through (0, 2, 3) and Justify your answer.…

A:

Q: If ƒ_¹₁√√√¹-y² x² + y² dxdy is changed to equivalent integral in polar coordinates, then the…

A: The objective of the question is evaluate the definite integral using polar co-ordinates and choose…

Q: <Notes Let R be the region bounded by y=1/x, x=1, and the x axis on [1, infinity] and let S be the…

A:

Q: Find the general solution of the following differential equation. y" + 15y + 56y= 0 NOTE: Use c, and…

A:

Q: A river is 2 km wide and flows at 6 km/h. Anna is driving a motorboat, which has a speed of 20 km/h…

A: In this question we have to find the solution for the following statements.

Q: xy²dy=y³x³y(1)=2 3 3 ху

A: See the answer below

Q: dr/dt = -2tr, r(0) = ro

A: Solving the differential equation

Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. How…

A:

Q: q. r. √y² - 25 -dy, y > 5 y³ dx x²√√x²-1 2 ,x > 1

A: Solve both integral as following:-

Q: Let f(x) = xe ⁹x. a. Find the values of x for which the slope of the curve y = f(x) is 0. b. Explain…

A: To find out the values of x for which the slope of curve is 0.

Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 8 O 6 None of them O 2 O 4 O

A:

Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand…

A:

Q: Find the following limit or state that it does not exist. lim X-2 V x-2 2x+5-3

A: Solution of given question is written in below steps.

Q: 3. Find a result by using exact for a. cos(x + y) dx + (3y2 + 2y + cos(x + y))dy = 0 2)dx

A:

Q: 7. Tammy is golfing. She wants to drive her ball from the tee to the hole that lies due east.…

A:

Q: lim (√n²+ n-n)

A:

Q: 1 S. dx 3 (2x 012

A: Consider I=∫1( e2x-9)32 dx

Q: 5. A spherical balloon is being inflated at a rate of 10 cubic centimeters per second. dr A. Find an…

A:

Q: The value of limx→0 ex-1-x x² by using series is о о -1 O 0.5 O 1 O -0.5 O

A: Solving the following limit problem,

Q: 1. C (5,0) =( 5) = 2. C (4,4)=() = 3. C (6,2)=() = Evaluate the following

A:

Q: Let H = Span{u₁,U2, U3} and K= Span {v1 V2 V3}, where each vector is defined below. Find bases for…

A:

Q: In Exercises 17-46, find the critical numbers of f (if any). Find the open intervals on which the…

A:

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth…

A: Let's solve for taylor series.

Q: Find the volume of the solid whose base is a circle with radius 12 that has cross-sections…

A: Recall that the volume of a solid, if the cross-section is perpendicularto the x axis, and its area…

Q: 7 Given the geometric sequence: 35,7 3' 45 Find an explicit formula for an, where the first term is…

A: