Evaluate the limit. Note: Enter two 'o's to make infinity (oo). 1 [ In(t-2) lim e³-t Check Answer

Q: Evaluate: (In x)² x -dx - +C

A: Topic - indefinite integral ∫xndx=xn+1n+1+C

Q: 1.1: If y2 = x² + 2xy, then dy y+x dx a) y-x b) 2x + 2y x+1 c) y d) - x corre None of the above ||

A: Given y2=x2+2xy

Q: 5. The population, P, of an island, y years after colonization is given by the function P = a. What…

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Q: Find the equation of the tangent to the curve y = sin(3x) COS(z) at z = 4.

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Q: 4. The graph of f' (x), the derivative of f of x, is continuous for all x and consists of five line…

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Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the…

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Q: An arithmetic sequence has first term a = 5 and common difference d = 4. How many terms of this…

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Q: Find the nth term of a sequence whose first several terms are given. 10 11 9' 10' 11' 12' an = Need…

A: The given sequence is 89,910,1011,1112,....

Q: Find the derivative of y with respect to x in the following equation y = 1¹ where u = 1-z O x² O-x²…

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Q: Let a = -17-23 + 3k and 6 = 67-53-4k. Find a b Check Answer

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the area of the parallelogram with adjacent sides u = (4, 3, 0) and v = (0, 3, 1).

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Q: Q6. Evaluate S¹, S₂ Sp dz dx dy.

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Q: 5) Show that to order O(h²), the central difference formula for the partial derivative მ3u(x,t) əx3…

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Q: 37. Problem Using polar coordinates, a point is at (7, 38). Find its rectangular coordinates. a)…

A: As per bertleby guideline I  have to solve only problem 37. For answer to others resubmit the…

Q: Problem 7. (1 point) Find a solution to A(t) = dt 9A if A(0) = 3. help (fo

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

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Q: A supermarket sells two brands of granola: brand A at $p per pound and brand B at $q per pound. The…

A: We have to find partial derivatives and new values of x and y .

Q: lim x(√16x² + 2 - 4x) X118

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Q: 1. A particle moving along in a straight line with a uniform acceleration covers 72 cm displacement…

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Q: IN 15 MINUTES PLEASE calculus Find all points on the curve x^2y^2 + xy = 2 where the slope of the…

A: Solution is done in step 2

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: 1. The Louvre museum in Paris features an inverted square pyramid with a height of 10 m. The side of…

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Q: For the curve given by the vvf r(t) = ti + 2t²j+t³k, find the unit tangent T(t), principal normal…

A: I have appended the formula used in the solution part of the question

Q: Water is running into a hemispherical bowl having a radius of 10cm at a constant rate of 3cm3/min.…

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Q: 2x lim(x,y)→(0,0) x² + x + y²

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Q: se the limit definition to find the instantaneous rate of change of f(x) = 3x^2 - 4x at x= -3.

A: The instanteneous rate of change of a function f(x) at x=a is the limit of the average rate of…

Q: Find foda + C

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Q: Complete each statement below. The zero vector of Pg The set IS in the set because zero IS a…

A: Concept: A function that can be expressed as a polynomial is referred to as a polynomial function. A…

Q: where does xk come from

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Q: Differentiate the following function. You do not need to simplify the derivative. dy d.x || y = 2e²²

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Q: Find the volume of the solid generated by revolving the area bounded by the given curve y=lnx, x=e2,…

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Q: Find the absolute maximum and minimum, if either exists, for f(x)=x² - 6x + 6. Find the first…

A: We have to find absolute maxima and minima of given function.

Q: Starting at age 25, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

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Q: Evaluate the triple integral x dV where E is the solid bounded by the paraboloid x = 6y² + 6z² and x…

A: To evaluate the triple integral ∬∫ExdV where E is the solid bounded by the paraboloid…

Q: Find the area of one leaf of the "four-petaled rose" r = 7 sin (20). X FIGURE Four-petaled rose (Use…

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Q: Find fxy(x,y) if f(x,y)= e 4xy². fxy(x,y)=

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Q: Evaluate the integral by making the given substitution. [sec (3x)tan (3x)da, u = 3x +C

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Q: Let f be the function graphed below. If 20 subintervals of equal length are used, write a summation…

A: Graph of the function given on the interval 2,4 with 20 sub interval of equal length we have to find…

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: Question is solved.

Q: S (2x² + 1) dx x3 - 3x +2

A: ∫2x2+1x3-3x+2dx This can be written as  ∫2(x2-1)x3-3x+2+3x3-3x+2dx=2∫(x2-1)x3-3x+2dx+3∫1x3-3x+2dx

Q: Find the point at which the line y(t) z(t) = 2 + 4t -6-8t intersects the yz plane. 6-7t

A: The line x(t)=2+4t, y(t)=-6-8t, z(t)=6-7t intersect yz plane Note:    Multiple questions are given,…

Q: 3. a. Solve the differential equation y'= 2x√/1-y² b. Explain why the initial value problem y'=…

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Q: 1. Write and then solve for y = f(x) the differential equation for the statement: "The rate of…

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Q: Evaluate the definite integral using Part 1 of the Fundamental Theorem of Calculus. 6² Enter the…

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Q: Consider the function f(t) = 10 sec² (t) - 3t³. Let F(t) be the antiderivative of f(t) with F(0)…

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Q: 6. Determine the 19th derivative of the function y=sin(x). Fully explain the process you used to…

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Q: Perform an operation on the given system that eliminates the indicated variable. Write the new…

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Q: Given x = y² + y + 1 from 0≤ y ≤2 1. The arc length of the given curve over the interval is 9. 7:38…

A: Given: x=y2+y+1 from 0≤y≤2To Find: To determine the arc length of the given curve over the given…

Q: 8. Evaluate F. dr using Stoke's theorem when F = (2xy — x²)ī — x² − y² )ī and C is the boundary of…

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Q: Consider the function f(x) = 10x¹0 + 3x7 - 8x4 - 2. An antiderivative of f(x) is F(x) = Ax" + Bx" +…

A: Given, f(x)=10x10+3x7-8x4-2