Use integration by parts to evaluate the integral: [2³ ln(z)dz = [

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Q: Find the area A of the sector shown in each figure. (a) A = (b) A = 61 ° 3 0.3 rad 10

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Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. 00 (2) Σ…

A: To solve this problem we can use p-test , comparison test and root test

Q: . (2,3), (4,-5)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: If the sales tax 4% and the purchase price is $263, what is the amount of tax?

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Q: Find the indefinite integrals of the following. Answer is already given. Show step by step on both…

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Q: C [² (₁²- Jo (u² - 2u) du

A: Solution : Given that integral is

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Q: Solve the two (the first one using integration by partial fraction and the second using integration…

A: Question 1,Given,            ∫3x3x+2+4x4+2x2dxTo find : Solve using partial fraction.

Q: Given f(x) = ax³ + bx² + 9x + c. Find a so that (2,3) is a point of inflection of the graph of f and…

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Q: Find a function f such that the slope of the tangent line at a point (x, y) on the curve y = f(x) is…

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Q: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

A: The Solution is given below:

Q: Solve the following differential equation, subject to the given initial condition. dy x +(1+3x)y =…

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Q: The universal set is U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}. If A =…

A: The universal set is U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}. and A =…

Q: A window is being built and the bottom is a rectangle and the top is an equilateral triangle. If…

A: Area

Q: Simplity 1+2(+3(부고) (무)(부(부고) (2-1)(2-2) +4 2! 3!

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Q: The Maclaurin series for f(x) L(1+z)” n=0 ∞ n=0 S M8 M8 n=0 " 2n+1 72 2" 2 = 1 2+ is

A: we will find the required.

Q: Which graph represents the reciprocal of the linear function y=4x-2? A C B *** ↑ g H T ngo 2 2 D k…

A: Graph of the function is given  We have to find the reciprocal of the linear function y=4x-2

Q: IS IT POSSIBLE TO DO THE TRAPEZIUM METHOD AND THE SIMPSON METHOD AGAIN BECAUSE IT IS INCORRECT

A: Give the exact values of the approximations provided by these method b)trapezium methods c)Simpson's…

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A: We need to solve wheel problem.

Q: Find the area of the region bounded by the line y = 4x, the curve y = Area = √405 x and the x-axis.

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Q: For f(x, y) = e²z+15y, find the second order partial derivatives fry and fyr of the function. O…

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Q: Consider the function f(x) = 3 x3 27 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then…

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Q: P 1/^ (1) J 8.

A: Given query is to find the integral.

Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. ∞ (2) Σ…

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Q: Evaluate: ľ In(x) x² dx =

A: We have to solve given Questions.

Q: he altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

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Q: please.   The rate of U.S. per capita sales of bottled water for the period 2007–2014 could be…

A: Given query is to find the total water sold in 2 years.

Q: Evaluate the integral 20 fx³² (x³ – 5) 2⁰ da by making the substitution u = x = x³ – 5. + C NOTE:…

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Q: Which graph represents the reciprocal of y=(x+2)²-3? A B La C D U home

A: The function is  y=(x+2)2-3

Q: . Зп 2п f (x) dx

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Q: b) I sinte de

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Q: Given f(x) = ax³ + bx² + 9x + c. Find c so that (2,3) is a point of inflection of the graph of f and…

A: Given 1. fx=ax3+bx2+9x+c 2. 2, 3 is the point of inflection and slope of the tangent line is -3.

Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. ∞ (b)…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: Evaluate the definite integral. 3   0 ex 5 + ex dx

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Q: Question Determine the second derivative of the parametrically defined curve represented by the…

A: Given query is to find indicated derivative.

Q: b. [² x xp zx

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Q: An isosceles triangle is inscribed in a circle of radius 20cm. Find the dimensions of the largest…

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Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t) = -0.002t² +0.7t, where…

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Q: 5. Carl wants to invest P50000. His friend advises him to invest in three types of accounts: one…

A: Given  Total invest amount = P50000 Let the invested amount in 3% account is x The invested amount…

Q: You can afford a $200 per month car payment. but its a  4 year loan at 5% interest. How big of a…

A: Given : rate = 5% time = 4 year  d = $ 200   formula :

Q: SHOW FULL SOLUTION AND EXPLAIN. INTEGRAL CALCULUS. 1. Find the area bounded by y=lnx, x=e^2 and the…

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Q: y = √4-x²

A: The given function y=4-x2. We have to sketch the graph of the function on the interval -2≤x≤2.

Q: Suppose that it is given to you that f′(x)=(x+4)(12−x)(16−x)f′(x)=(x+4)(12−x)(16−x) Then the first…

A: We need to find out the relative extremum and inflection points.

Q: Evaluate SS √1 + x² + y² dS where S' is the helicoid: r(u, v) = u cos(v)i + u sin(v)j + vk, with 0…

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Q: Find the work done by the vector field F = xi + 2xyj + 3xyzk on a particle that moves along

A: Let's find work done.

Q: Consider the line y = ax, where a is a positive constant. What should be the x-coordinate of the…

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