Use the basic integration rules to find or evaluate the integral. e In(2x) 1+ ln 4 [eind X X dx

Q: 7. √x³ + 2x³-3x dx (x²+1)³

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Q: Which is the center and radius of the circle given by the equation, x² + y² - 6x 10y + 11 = 0?

A: The answer as follows:

Q: Question Use an appropriate linear approximation to estimate √8.95. (Round your answer to three…

A: Concept: Linear approximation: The definition of a linear approximation of a function is simply…

Q: The circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm. Use linear…

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Q: 4. Use the special properties of logarithms to solve the following equations. a. M = log₁11²1 b.…

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Q: Use the graph to determine the intervals on r concave downward. 10 4 1.5 X 10 а.

A: Here we have concave upward and concave downward.

Q: Sketch both parametric curves below. Then determine if they intersect. If they intersect, find the…

A: Given,

Q: The formula for the volume of a cone is given below. Find the rate of change of the volume for each…

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Q: Find the value of b for which the differential equation (ye5ay + x) dx + (bxe5y) dy = 0 is exact,…

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Q: b B 34° Note: Triangle may not be drawn to scale. Given the triangle above, find the following:…

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Q: y' = 4+t-y, y(0) = 1 (a) Find approximate values of the solution of the given initial value problem…

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Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

A: Use integration  with respect to x

Q: (Question #1, 2, 3, 4, f(x)=x²e* f(x)=et' inx f(x) = ln(4x³ + x) f(x)=In√√5x-7 1. 2. 3. 4. ror the…

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Q: An electronic games manufacturer producing a new product estimates the annual sales to be 4000…

A: According to given, Inoperative units= 1% Therefore, Operative units= 100-1 =99% =0.99

Q: c) Write the polar equation for a conic section with eccentricity 3, a focus at the pole, and a…

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Q: ) Sketch the region described below b.) Set up the integral to find the area of the region inside…

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Q: 14. est 3 comment The critical numbers x = -7 and x = 5 are found from a continuous function f'(x).…

A: The critical numbers x=-7 and x=5 are found from a continuous function f'x f''(x)=1-x3x+6

Q: Consider the function X x² - 9 with the graph below. f(x) = 2 DU 1/0 -6 (Click on graph to enlarge)…

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Q: Give the Particular Solution of the following Differential Equation d²y 3 +2 dx² IBC: y(0) = 2 y'(0)…

A: The given differential equation is: 3d2ydx2+2dydx-8y=0 So, we can also write as; 3D2+2D-8y=0   The…

Q: 36-2 dzdx dy Rewrite the integral using the order dzdydx. (6x +36-1- 076 36-y 18 18 10 ² dzdydx dzdy…

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Q: 1+cos²x cos²x dx

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Q: #2. Determine the equation for piecewise function f(x) given its graph below. -9-8-7-6-5-4-3 f(x) 5…

A: Given data:-

Q: Fill in the blank. (Enter your answer in terms of t.) [ L-1) 1 5²-2) =

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Q: For question 1c, the final equation is x-2y+1=0

A: We have to eliminating parameter t  (C) x = cos(2t),  y = cos2(t)

Q: sin 2xdx 2+cosx

A: Our Aim is to evaluate the given indefinite integral using U-Substitution.∫sin (2x)2+cos (x)dx-(i)

Q: Determine whether the Mean Value theorem can be applied to fon the closed interval [a, b]. (Select…

A: Please see the below picture for detailed solution.

Q: 1. (ex-y)(1-e²y)¹/² dx = dy

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Q: 7). but you have not said if the diverges test applies or not . please xeplain the final solution ?

A: This question can be solved using the concept of divergence test.

Q: If f(x) = 2x² - 4x + 5, find f'( – 5). -24 Use this to find the equation of the tangent line to the…

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Q: Sketch both parametric curves below. Then determine if they intersect they intersect, find the point…

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Q: Identify this surface, φ = π/3 in spherical coordinates, and find its equation in x, y, z…

A: Identify this surface, φ = π/3 in spherical coordinates, and find its equation in x, y, z…

Q: Suppose f(x) = x² 11 (a) The rectangles in the graph A illustrate f(x) on the interval 4 ≤ x ≤ 8.…

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Q: Joey is 5 years older than Kimberly. In 8 years the sum of their ages will be 79. How old is Joey…

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Q: NOTE: Enter the exact answer. 13 [ ²³ | = [ |ti + t²j|| dt

A: Given: ∫013ti+t2jdt

Q: Determine whether the differential equation (8x² - 2xy + 2) dx + (7y² - x² + 8) dy = 0 is exact. If…

A: To solve the given differential equation

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: Which of the following represents the graph of (x + 2)² = 4y - 6)? O -83 4 ry 14 11 10 9 8 " 5 4 3 2…

A: The given function is x+22=-4y-6

Q: Question 17 A particle moves in a straight line and has acceleration given by a(f) - 2einf+3coef.…

A: Topic = Integration

Q: What is lim x-inf (x_n) and y=lim sup (x_n) where x_n = [(-1)^{3n}] + 2?

A: We have to find the lim inf and lim sup of sequence

Q: Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two…

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Q: Suppose that f(x, y) = = y√x + 1 on the domain D = Then the double integral of f(x, y) over D is […

A: Given function is f(x,y)=yx3+1 and domain is D=x,y 0≤y≤x≤3 We need to find the double integral of…

Q: Evaluate the integral. √3 5 1/√31+x² dx

A: NOTE: Refresh your page if you can't see any equations. .

Q: If √√x + √√y = 8 and y(4) = 36, find y'(4) by implicit differentiation.

A: Given that x+y=8 and y4=36 we have to find y'(4)

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: Find the general solution of the given second-order differential equation. 5y" + y = 0

A: To solve the given differential equation.

Q: handwritten

A: Please refer to the image below

Q: 4. Consider the function f(x) = 3, a) Evaluate lim ƒ(x) and lim_ f(x). x-0+ x-0- c) Is f(x)…

A: Let's solve limit problem.

Q: Given the information below, find the following: Round all answers to 3 decimal places. If no answer…

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Q: If r(t) = (e³t, e-4t, t), find r'(0), T(0), r"(0), and r'(0) x r"(0). r'(0) = II T(0) = r"(0) =…

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Q: -8 -6 -4 19 4 2 19 ∞

A: Graph of the right open parabola is given, we have to find its equation