The improper integral A e B 0 C D) 1 + ∞ [** 0 e-x dx is

Q: 11 Given ~ [²₁_f(x) dx = 0 and [ ² f(x) dx = 1 1 1 4 11 A 6 B C 0 55 0 evaluate • [²³f(x) dx - ²₁²…

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Q: (x²-3x+2) dx

A: Please see the below picture for detailed solution.

Q: The part of the plane 2x 5y + z = 10 that lies above the triangle with vertices (0, 0), (0, 6), and…

A: Double integration need to be done.

Q: 1.30 Find the value of the integral ₁00 √x dx by using simpson method (n = 6)? 1.00

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Q: (b)show that: I(cosh at cos at)=; s*+40*

A: This question can be solved using the concept of Laplace transform.

Q: 3. Use appropriate differentiation techniques to determine the first derivatives of the following…

A: see below the answer and calculation

Q: the integral: (u +3) du 1²5 -dx (3) √74³ cscxcotxdx

A: We have to find out integral

Q: Which point is the center of the circle * 4x² + 4y² = 4y - 8x + 5? (-1,-/-) (1,-1) 2 2 Option 1…

A: This question is based on general equation of circle.

Q: 10) x² + y² - 28x - 6y + 189 = 0 12) x² + y² - 32x+22y+376 = 0 2 14) x² + y² - 4x + 24y + 144 = 0…

A: Standard form of a circle is x-h2+y-k2 =r2,    where h, k  is the center of the circle and r is the…

Q: The integral of x^7(2x^6 - x^8) dx with limits -5 to 5

A: Evaluating the definite integral

Q: Find the limits analytically. Show all work and use proper limit notation. √x² +8-3 1. lim X-1 x+1

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Q: The region is bounded by y = x² - 9 and y = x + 3, find the area.

A: Solve the following

Q: 5 Let f(x) = 5x + 3x²³² + 1 and g(x) = 3x²+2x+1 in 27 [X]. Determine the quotient and remainder upon…

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Q: Let the integral be 'solvable' using trigonometric substitution. What is the correct choice of u…

A: We need to choose correct option.

Q: A balloon is released fromthe ground 100 meters from an observer.The balloon rises directly upward…

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Q: Determine the area bounded by f(x)=x²-x and x-axis. 2 A unit² ® —— unit ² 1 -unit² Ⓒ 1 -unit²

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Q: How many antiderivatives does a function of the form f(x)=x" have when n*0₂ (A) 1 (B) none may vary…

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Q: L²x√x-2dx

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Q: y = 5 tan x³ + sec(3x)

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Q: - e*) sinh x + e* cosh x + ex In the indefinite Integral in(cosh x + ex). A In(cosh x + e*)- sinh x…

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Q: x²+4x x-4 x²+3x-12 Evaluate the limit: lim

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Q: e: Sz dx (x+1) log(x+1)

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Q: lim 81x √16x2 4x

A: lim   16x2/4x x -->∞   lim   4x/4x x -->∞ = 1

Q: The sum of two numbers is k. Find the minimum value of the sum of their cubes.

A: Given

Q: ,3 Which of the following can be determined given f(x) dx = 5, g(x) dx = 7, and ,3 [³h(x) d h(x) dx…

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Q: x+2 Determine the case of the following proper rational function after simplification: (x²-4)(x³-8)…

A: The first problem is related to simplification and second one is related to linear composition.

Q: хра (q

A:

Q: A population declines according to the model, 25,000(0,95) where A is the population t years after…

A: To solve the following problem

Q: A company has two packaging machines in a unit, each with a different daily capacity. The capacity…

A: A company has two packaging machines in a unit, each with a different daily capacity. The capacity…

Q: f(x): = Opción 1 5x² - 8x + 15 3x² + 6x 12 y Opción 3 || సా || I 5/3 3 5 Opción 2 Y Y Opción 4 ||…

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Q: 3x² dx

A:

Q: If a horizontal element is used to find the area bounded by y=√√x, x=4 and the x-axis, the limits of…

A: limit of integration

Q: f(x) = 4x²8x +3 x ² + x - 12 2

A: Given.

Q: se sec³ xtanxdx

A: we have to solve integration

Q: Transforming - Ⓒ S 1 = ²2²1dz 1+z² ℗ B / 1 + 2/2 d -dz 1-z² Ⓒ *2-2z² 1+z² (A) dx secx + C-²₁- -dz…

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Q: x + 2 Determine the case of the following proper rational function after simplification: (x² - 4)(x³…

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Q: C. Determine the Laplace transform of the following function f(x)=x² 1. 2. f(x) = ex, a ER

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Q: πT Evaluate the integral: S sin(3x)cos(3x) dx

A: We can solve this as follows:

Q: Is the answer correct?

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Q: dx Evaluate: (x+1) log(x+1) 1 A In10 log² (x+1)+C 2 B -log² (x + 1) + C 2 In 10 In[log(x+1)] + C…

A: We have to integrate of given function

Q: Using disk method, find the volume of the solid generated by revolving the R bounded by y = 3(2 − x)…

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Q: A drug is injected into the body in such a way that the concentration, C, in the blood at time t…

A:

Q: A triangle has variable sides x, y, z subject to the constraint such that the perimeters is fixed to…

A: answer is in next step

Q: -JIL e √x² + y² dv, where E is the region that lies inside the cylinder x² + y² = 4 and between the…

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Q: πT Evaluate the integral: sin(3x)cos(3x) dx រ 1 A 3 (B) i D 1 براس 1

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Q: ㅇㅇㅇ 고 |= 15 n y7

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Q: Evaluate the improper integral 3 A 4 B O diverges N|9 름 12²233/30 dx

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Q: QA-evaluate the flux of the filed F-xi+yj+zk through the upper part of the cylinder x² + z² = 1 that…

A: Given

Q: Fiind a33 of an arithmetic sequence if the common difference is -1 and a1=3

A:

Q: 3x e 1+e³x 13. What is the best substitution to make to evaluate S O u = 3x Ou = e³x Ou=1+e³x O u =…

A: A detailed solution is given below.