6 Use efºxc x² dx = 72 to evaluate each definite integral without using the Fundamental Theorem of Calculus. (a) (b) (c) x² dx x² dx 6 6- -2x² dx

Q: Let F-6(x+y)+8 sin(y) 3. Find the line integral of Faround the perimeter of the rectangle with…

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Q: Find the indefinite integral. J (100e5x) dx = +C

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Q: The polar coordinates of a point are given. Find the rectangular coordinates of this point. (4,л)

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Q: a. 7* = 72 x b. 7 = x = 1 2401 * Preview Preview

A: To solve the following equations.

Q: e area of the blue region. It is the area under the curve. y 10 8 6 4 2 y = 3x+1 y = 6-x X 1 2 3 4 5…

A: The graph of the function is given.The aim is to find the area of the blue region.

Q: Consider the function F(x) = [*__cos(1²) dt. (a) Compute F(-√√T).

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Q: 6. Determine whether the following series converges or diverges. 1 Σ tan (√) n=1

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Q: 1-√x)³ 3 √x dx

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A: The given function is

Q: M8 ηχη n=1 3"

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Q: Find F as a function of x and evaluate it at x = 0, x = π/4, and x = π/2 8 de F(x) F(0) F(7) F(-/-)…

A: The given integral is .The aim is to find the values of .

Q: Find the linearization L(x) of f(x) at x = a. f(x)=x+, a= 2 3 O A. L(x)=x+1 3 2 23 OB. L(x)= x+3 5…

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Q: lim       sin(π+h)- sinπ                                      h→0     —------------…

A: Note:-Since your part a incomplete ,please repost part a again(b)

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Q: Write the expression as a sum and/or difference of logarithms. Express powers as factors. 14 In (x¹4…

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Q: X 1+x (a) If Q is the point (x,x/(1+x)), use your calculator to find the slope of the secant line PQ…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 7. An actuary invests $26,000 in two bonds. If one bond yields 12% and the other yields 7%, how much…

A: 7. An actuary invests $26,000 in two bonds. If one bond yields 12% and the other yields 7%, how much…

Q: 37. se sec² (10x + 7) dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find all exact solutions on the interval 0 ≤ 0 < 360°. If there is more than one answer, enter them…

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Q: (4) Find the maximum and minimum values of f(x, y) = xy on the ellipse x² - xy + y² = 1.

A: The given equation of function  Let

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Q: Find y as a function of a if y(1)9, y'(1) = -5. y = x²y" - 15xy' + 64y = x²,

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 − x² −…

A: y=4−x2−ln⁡(12x+1), point (0,4)

Q: 10 -9 -8 -7 -6 -5 -4 10+ H Cu Ha STI -10 1 2 3 4 5 6 yak x Write the standard equation for the…

A: The standard equation of hyperbola with transverse axis parallel to x axis is

Q: 2 x² e ³+1 dx

A: We do only first part of multiple questions.please re-post other parts.

Q: Find the logarithm. 1 log 5 625

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Q: Tell whether the below piecewise function is  Undefined Continuous but not Differentiable…

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Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

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Q: I

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Q: Problem 2. (Fundamental Theorem of Line Integrals) Suppose that the curve c connects the point (0,…

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Q: 0 4 ४ 20 x2 + 1 +1 dx

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Q: Determine the following indefinite integral. 5-6 sin¹ (2) cos(x) dx

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Q: Let y = f(x). Begin by finding the derivative of f(x) = -x³ + 6x² - 3. 3 F'(x) = (x³ + 6x² − 3) d dx…

A: The objective of the question is to find the second derivative of the function f(x) = -x^3 + 6x^2 -…

Q: K Find the indefinite integral √(-2 -2 sec x tan x +5 sec x +5 sec² x) dx = -2 sec x tan x +5 x) dx.

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Q: S 3 6x²4x³ dx 24

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Q: 4. For the function fwhose graph is given, state the value of each quantity, if it exists. --2- 0…

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Q: Solve the following problem and show your complete solutions. 3. Find the area bounded by y = x³ ; y…

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Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: Which of the following are solutions to the following differential equation. xy + y = x lnx;_y(1) =…

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Q: Consider the following. f(x) = -3x² + 36x Find the critical numbers. (Enter your answers as a…

A: The objective of this question is to find the critical numbers of the function f(x) = -3x^2 + 36x…

Q: 5 Find an antiderivative of the function g(z) = = 23 An antiderivative is

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Q: Find the area of the blue region. It is the area under the curve. y 8 6 4 2 y = 3x + 1 y=8-x

A: We have to use the concept of definite integral

Q: Use trigonometric identities to solve the equation in the interval [0, 2). 2 cos ²0-sin 0-1=0

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Q: K Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = -x…

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Q: Determine the integral by making the appropriate substitution. √ 2x (x² +17) 3³ dx

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Q: Calculate the Riemann sum R(S, P. C) for the function f(x) = x² + 8x, the partition P= {4,6,9, 12)…

A: Solution

Q: The graph of a one-to-one function f is given. Draw the graph of the inverse function f¹. For…

A: The graph of a​ one-to-one function  is given. To draw the graphof the inverse function .

Q: Find a, b, c, and d such that the curve y=ax^3+bx^2+cx+d has its tangent line at (1, 1) and at (0,…

A: To find such that the curve  has its tangent line at(1, 1) and at (0, -2) are parallel to lines…