Determine whether the improper integral converges and, if so, evaluate it. (If the quantity diverges, enter DIVERGES.)

Q: Find da f 2log 2 In z O None of these O 20, 2 In 2 O2: In 2 O2 In 2 +C +C +C

A: Integration problem

Q: An object moves along the curve with equation y -122²³-1/72²+1/2/20 + 5 42

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Q: Q3. For the following matrices find x, y, z, and w, then check your solution. (2x + 5y)] 5y)] 2 6…

A: Need to find out the value of x, y, z, w.

Q: Let z = √x² + y². = v² In w and y= 2. If x and y are functions of v and w given by x = find əz θυ…

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Q: Q2. Using cylindrical coordinates to find the volume of the region bounded below by the cone z =…

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Q: The Graph below represents the velocity of a particle moving on a horizontal line on the interval…

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Q: Solve the following equation correct to one decimal place in the range specified below. 4 sin² I -…

A: The given equation is: 4sin2x-cos2x=8sinx+3 Rewrite the above equation use cos2x=1-sin2x it becomes:…

Q: Evaluate the integral. 4u²-√u น du

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Q: find the values of a and b for a rational functional of the form y= ax/x+b with a vertical asymptte…

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Q: If y = tan ¹(x³ + 14x), then 2 Əx

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Q: rizontal. How far away from its starting position does the project

A: Topic:- function and calculus

Q: Find the derivative of the function using the definition of dervivative. State the domain of the…

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Q: the cost (in dollars) of producing x units of a certain commodity is c(x)=100+50x-0.02x^2 (a) Find…

A: Given, the cost function C(x)=100+50x-0.02x2 a) The average rate of change of the function from…

Q: Find the slope of the second equation. 4x - 9y = -9y = y ])x+ So the slope of the second equation is…

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Q: Compute the integral (a) sin(x) dx by letting u = x. (b) e/2dx by letting u = x/2. Show that you got…

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Q: Solve the following exact differential equation (yexy + 3x²) dx + (xey − 7)dy = 0 Express your…

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Q: choose the correct answer A list of numbers has been given. Find the pattern necessary to complete…

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Q: QUESTION 2 1 1 Express as a single logarithm:In([x+ 2]³) + — In(x) − − In([x² + 3x + 2]³²) - 3 2 2…

A: I am attaching image so that you understand each and every step.

Q: Total cost. A total-cost function is given by C(x)=2000(x2+2)1/3+700 where C(x) is the total cost,…

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Q: 3 22. Find f if f"(x) = 20x² + 12x² + 4 f(0) = -10₁ f(1) = 8 f(x)=

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Q: Write the equation of the line that passes through the given point and has the given slope. 5 4 (-1,…

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Q: QUESTION 3 Let f(x)=√x x and g(x)=x² Find gof(x) and state its domain.

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Q: Question Given f(x) = -4x³ - 3, use a table to estimate the slope of the tangent line to f at the…

A: Given function : f(x)=−4x3−3 at the point P (-2,29)

Q: PERIMETER A right triangle has one leg twice as long as the other. Find a function that models its…

A: Topic- Perimeter of triangle. we are given that Length of a right triangle has one leg twice as long…

Q: 4 If ƒ(10) = −6, ƒ'(10) = — and g(x) =ƒ˜¹(x), what is 5 the equation of the tangent line to g(x) at…

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Q: Let f(x)=√x+1 Find and simplify the difference quotient: ○ (x + 1)² 1 2√x+1 1 √x+1+√a+1 1 2√x+1…

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Q: Evaluate if the limits exist of the following (show your table of values): A. lim Inx x-0 x3 1 x1…

A: See this solution in below.

Q: Let f(xy) = x²-3x

A: Concept: Partial derivative with respect to x fxuv=v∂u∂x-u∂v∂xv2

Q: 4. cy² = x² + y

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Q: standard form of equation of a line in 2D is ax + by + c = 0 Can this form be extended to represent…

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Q: Sketch a graph of ƒ(x) = = 8 7 6 Clear All Draw: 5432 5 4- 7 -8-7 -6 -5 -4 -3 -2 -1 1 -2 234 -5 67 7…

A: given f(x)=2x+611.5x-5if     x≤-1if  -1<x≤4if x>4

Q: Q3. For the following matrices find x, y, z, and w, then check your solution. 2y] 4w 6 [² ²Y] = [ ³2…

A: Given 6x2y zw=3x8 -24w+92x+5y 5z+w2

Q: QUESTION 7 Find tan (sec¹(5)) 6√6

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Q: For f(x) = 4x and g(x) = x6, find the following. (d) (f/g)(x) , X = 0

A: Given : f(x) = 4x and g(x) = x6

Q: QUESTION 10 or 2-3e* +2=0, x=0 is a solution. State the other solution. Round/truncate to three…

A: Topic = Algebra

Q: 3. Substance A is being observed and it was recorded that its half-life is 6 months. Determine the…

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Q: Let v = (7,8). Suppose w E R² is perpendicular to v, and that ||w|| = 7. Find both possible vectors…

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Q: Consider the following. Find the value of y when x = 1. y(1) = Find dy dx dy dx = y (6x2 - 6x +…

A: find equation of tangent line? y=6x2-6x+11+2xat x=1y=13y=3pointx1,y1≡ 1,3

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Question Given f(x) = 2₂, find f'(-1) using the definition of a derivative. x-2 Provide your answer…

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Q: Is the relation defined by the table functions of x? X y 1 -4 -4 5 2 3 LO 8 9 5 13

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Q: Solve the following differential equations. dy 9. 10. 11. dx dy dx dy dx = x³ + 2x 31X == = 4 cos 6x…

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Q: 1. S 1 (4+x²)² dx

A: Given integral:- ∫14+x22dx

Q: 121. [T] y = -at (1, -1) 2

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Q: Projectile Motion The range R of a projectile is vz R= (sin 20) 32 where vo is the initial velocity…

A: Need to find out the change in the range.

Q: (Technology Permitted) The population P of wild turkeys in a sanctuary is given by P(t)=et+2 5+1500,…

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Q: Find the particular solution: dy siny = dx cosy(1-xcosy) when x=0 and y=0

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Q: Q2. Using cylindrical coordinates to find the volume of the region bounded below by the cone z =…

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Q: velocity speed f(t) = 85t - 5t² I m/s m/s

A: Given; f(t)=85t-5t2, t=3.

Q: For the function y = (x² + 4)(x³ − 9x), at (-3, 0) find the following. (a) the slope of the tangent…

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