f(x) = 2²3 on (0, ∞) x+3

Q: The area bounded by the curve y = x3/4, the x-axis and the line x = 2 is revolved about the y –…

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Q: Find the general solution of the given differential equation. x²y + xy=5 y(x) = Give the largest…

A: To find the general solution of the given diffrential equation.x2y'+xy=5To give the largest interval…

Q: √√√x if x1

A: Explanation of the answer is as follows

Q: Given the table of values of the function below, what is its limit as x approaches -1? x -1.25…

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Q: 12. How much work is done by a variable force F(x) = (40 - x)N that moves an object along a straight…

A: Given that, the variable force is Fx=40-x N the interval is 4,20. Note that, the total work done by…

Q: 4. Find the volume generated by revolving the area cut off from the parabola y = 4x - x² by the x…

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Q: Give a general solution of the differential equation y"–9 y = −2t cos 3t

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Q: 12. DETAILS ZILLDIFFEQMODAP11 1.R.001. Fill in the blank. The symbol C₁ represents a constant. d =…

A: The solution is given below.

Q: 9 At what point do the following lines in R³ intersect? h: (x, y, z)=(3, 1, 2) + s(1,0,2), SER 1₂:…

A: Let's find point of intersection.

Q: Which of the following is TRUE for all? All functions are continuous at all points in its domain.…

A: Given :   Continous and differentiable functions

Q: Which of the following corresponds to the limx→4 (¹2) w when evaluated? 0 4 2

A: Here is the solution:

Q: Find the area of the region bounded above by y = x + 2 and below by y => X 542 1 1 2 3 4 5 -2 -3 O O…

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Q: S₁ (6x³ +11x² - 4x) 18x² +22x-4) d dx -3/5 C.

A: The given integration is: ∫016x3+11x2-4x-3518x2+22x-4dx To find the value of the integration.

Q: What is the lim 0 (sing - )? If your answer is a Whole Number Fraction (+) Positive Infinity (-)…

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Q: olve the differential equation y"+4y=sec(2t).

A: To solve the following differential equation  y''+4y=sec(2t).

Q: x sin æ+tan² I lim, 0 1-cos

A: We can solve this as follows:

Q: find  the area of the  region bounded by the  curves y²=4px and x²=4py

A: To find the area.

Q: Solve this question yey = 1

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Q: e2x (x²-4) Given: y = Determine the following: a. Symmetry b. Intercepts c. Vertical Asymptote/s d.…

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Q: Evaluate the line integral F(x, y, z) = (x,-z, y). Jo F. dr where C is given by r(t) = (2t, 3t,…

A: We will use concept of parameterization to solve this.

Q: d- d³y dx3 d²y +6 dx² - Q.2-Solve the differential equation 15 - 100y = 0 dy dx

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Q: using determination of integrating factors y (y^3-x) dx + x(y^3+x) dy=0 Attpemt only you can solve…

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Q: We learn how to derive the MRS from a utility function, U(x, y), using total differentiation. Write…

A: answer is in next step. please give a like !!

Q: Determine whether the statement is true or false. fy(a, b)= lim f(a, y) - f(a, b) (y - b) O True O…

A: Given fy(a,b)=limy→bf(a,y)-f(a,b)(y-b)

Q: Use Taylor's Inequality to estimate the accuracy of the 5th degree Taylor polynomial approximation…

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Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

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Q: Question 13 Given: ez + xy = 1 dz Find: dr zey te O dz 8x 8x dz 8x Za zerx Ty IZ ce¹² ze Ty

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Q: Use first principles definition of the derivative to find f'(x) for the function 3 f(x)= x-2 =

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Q: what is Newton's method A. used for? B. Use Newton's method (3 iterations) to estimate the solutions…

A: Solution: A.) The Newton-Raphson method is one of the most widely used methods for root finding.

Q: Evaluate the following integrals. (a) (b) Sx√4 x√4 + x² dx

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Q: A triangle is measured and two adjacent sides are found to be 3 inches and 4 inches long, with an…

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Q: What is f 5√xdx? 3 f 5√√xdx = 5x² + C 2 3 f5√xdx = 10x² + C 3 f5√xdx = 5x² + C 3 [ 5vxdx= 5x? +C

A: Let's solve given integral.

Q: 32 Which one of the following is the general antiderivative G(a), for g(x) Note: CER Select one…

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Q: A large boat is pulled toward a dock by a rope. The rope is attached to the bow of the boat which is…

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Q: Given a function f(w, x, y, z) = 2(w + 1)² x − xe²+, which of the following is not part of the total…

A: Given a function fw, x, y, z=2w+12x-xez+y2zw, to determine which of the following is not part of the…

Q: The number of bacteria in a refrigerated food product is given by N(T) = 23T² – 96T + 12, 5 < T < 35…

A: The number of bacteria in a refrigerated food product is given by N(T) = 23T2-96T+12,  5&lt;T&lt;35…

Q: 1) Find any relative(local) extrema and saddle points of f(x,y)=x+y^-4xy+1.

A: The given multi-variable function is f(x,y)=x^4+y^4-4xy+1

Q: Evaluate the given limit. Show your complete solution. limx→∞ [e5z + x²]

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Q: For the function f(x) given below, where x > 0, evaluate lim f(x). X18 f(x) = ln(9x³ + 10) - In(2x²…

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Q: Given a vector function (a) Find the domain of r(t). (b) Find the limit lim r(t). t→1 (c) Find the…

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Q: For the equation y I. Domain 2. Symmetry 3. Intercepts (if any) YA In (x-6)ex, find; =

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Q: (1) IF: ā=21-j+ k, b=i+2j- 3k, č=-3i+2j+ k Find : a.b, ã.č, č.ã‚ (a+b).(a−b),(ã+ê).(ā-č) (a +2b-3c).…

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Q: lim cos x x-0 , which among the following should result, in equivalent form, before L'Hopital's Rule…

A: To evaluate: limx→0 cosxx Let y= limx→0 cosxx ⇒y= limx→0 cosx1x

Q: A stone, projected vertically upward with initial velocity 112ft/sec, moves according to s = 112t −…

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Q: What is the derivative 7 of y = (3x + 1)²? 21 dx dy = 6 (3x + 1)²¹ dx = dy 6 (3x + 1)² dx = 7 (3x +…

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Q: Given a function f(w, x, y, z) = y ln(wx) + (+1) tan z, which of the following is not part of the…

A: follow next step

Q: A=  0 0.3 0.25 0.1     D=  3 4

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Q: 4.z=(y'-2) 3/4-2y ;z= dz dy

A: See the details solution in below

Q: Determine whether the series is convergent or divergent by expressing s as a telescoping sum. If it…

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Q: For the function y = (x − 2) In x, what are the two x intercepts, and between the two intercepts, is…

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