The improper integral A) 0 B 1 C D e +∞o Sto 0 8 ex dx is

Q: a+bx² √3ax+bx³ dx

A: This question is related to indefinite integration, we will solve it using given information.

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Q: |x-3. Find flexo :)? f(x) = \ / . \

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Q: Find the gradient of f(x,y,z) = (x² + y² + z²) Vfl(-12,-2)=i+j+k (Type integers or simplified…

A: Given

Q: lim 81x √16x2 4x

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

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A: Force function need to be constructed and then work done is calculated.

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A: Given x=-6 The graph is

Q: y 4. Find the volume of solid of revolution by rotating y = √√x-2 and x = 10 about the y-axis.

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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: Evaluating √9-x² dx using trigonometric substitution will lead to: -3

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A: answer is in next step

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A: Given ,  A company selling widgets has found that the number of items sold , x , depends upon the…

Q: Use the intermediate value theorem to find the value of c such that f(c) = M. f(x) = = x² - x + 1 on…

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Q: Verify that 5 18 11 2²4 ахду 22+ дуох - for f(x, y) = 2x³y6 - 4x5y4.

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Q: 2x* dx

A: Here is the solution

Q: 24 24 The two-dimensional Laplace equation + = 0 describes the potentials and steady-state…

A: Given :f(x,y)=e7y sin(-7x)

Q: y= In x

A: Given function is y=x/ln(x)

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

A: see below the answer and calculation

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

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Q: Q1/ From the following table of values, find the approximate value of f'(1.5)

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Q: Find the area bounded by : f(x)=e*, g(x)=e¯* and x = 3. A (e²+ 1)² e² sq. units B (e³-1)² e3 (e²-1)²…

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Q: Given the following characteristics, select the function family that is described. Shape: single…

A: Graph of logarithmic function

Q: Discuss the relationship between the number of solutions of the following system and the constant k.…

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Q: 3 •√₁²³f(x)dx=5₁ ₁²9(x) g(x) dx = 7, and 1 3 h(x) dx = -5 Which of the following can be determined…

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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: ) If A = (17) 5 6 , then prove that (A + A) is a symmtric matrix. If A = -1 -√3 -1 √3 then prove…

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Q: Find the value of x If f'(3) = 52? 1 2 4 f(x) -2 8 X

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Q: Use V=SSSDdV and the substitutions u = x/a, v = y/b, w = z/c to show that the volume of the…

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Q: Draw a graph to match the description given. f(x) is increasing over (-∞o,-5) and decreasing over…

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Q: dy ssuming 5x³ +9y² − 4xy = 0 defines y as a differentiable function of x, use the theorem == dx Fy…

A: Given query is to find the derivative at indicated point.

Q: dx √81+16x² S

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Q: Which of the following is NOT a method for finding volume of solids of revolution?

A: answer is in next step

Q: Sx² + 4 ; x<2 Question (4): Using the definition, determine whether the function f(x) = (3x + 2 = ;…

A: here we have to check from left hand side of x = 2  and right hand side of x = 2 it means lim…

Q: HA-[-2]. If = O A-¹ O A-¹ = O A-¹ = O A-¹, 24 = find A-¹. 3 = 6 -4] [4-2] 6 -5]

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Q: D. Graph each of the given functions and solve for the area of the region that they enclose. 2. cap…

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Q: Question 25 : A street light is at the top of a 19 ft tall pole. A woman 5.5 ft tall walks away from…

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Q: Verify that 2²4 ахду 22+ ду ах - for f(x, y) = 2x³y6 - 4x5y4.

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Q: In 1991, there were 41,144 shopping centers in a certain country. In 2001, there were 48,157. (a)…

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Q: √ √9-x S*/2 (B 9 ft/cos Ⓒ 18 "/2 D 95*1/2 sin Evaluating A 18 9-x² dx using trigonometric…

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Q: 11. Determine whether the lines L₁ given by x=t, y = 1+ 2t, z = 2 + 3t, (with x < t < oo) and L₂…

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Q: 4. Consider the solid formed by the boundaries outside the elliptic paraboloid x² + y² = z and…

A: Given

Q: Which of the following is the equation of the circle with center at (-4,1) and * with radius equal…

A: In this question, We will find the equation of circle with centre (-4,1) and radius 6.

Q: At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 25 knots and ship…

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Q: Consider the differential equation y" = e² + zy' where y is considered to be a function of a. In…

A: We have to find if given y is solution to the differential equation or not.

Q: Use the equation to name each of the characteristics listed. Make sure to use proper notation and…

A: Let's find given all characteristics of function.

Q: What is the value of k such that the lines 3x + 6ky=7 and 9kx+8y=15 wil have the same positive…

A: Topic = Geometry Correct option = 4 k=-23