Use a Venn diagram to answer. If n(A) = 7, n(B) = 12 and n(An B) = 4, what is n(AUB)? n(AUB) =

Q: Find the Cross product of A= and B=

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Q: Find the mass of a ball of radius 7 if the mass density of the sphere is proportional to the square…

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Q: Calculate the arc length of y = 4x + 1 as a varies from 0 to 2. 8 =

A: As we know that arc length = ∫ab1 + ( dydx )2dxGiven y = 4x + 1 varies from 0 to 2

Q: Given u = (-2,-3,0) and v= (1, 2, 1), (a) Find 3u + 2v (b) Find 13u + 2v| (c) Find the unit vector…

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Q: 7x² + 4x-6 x² + 3x² . dx.

A: We first evalute partial fraction decomposition for the given function and then evaluate the value…

Q: If a car gets 21 kilometers per liter of gasoline, how many miles per gallon of gasoline would it…

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Q: 13. The function ƒ is defined by f(x) = {²_₁ (A) 2 (B) 6 (C) 8 for x < 3 x-1 for x ≥ 3. (D) 10 What…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) Je sin(6t) dt ecos(6t)…

A: Given integral ∫ecos(6t)sin( 6t ) dt

Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity (feet/second) t…

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Q: ind the producers' surplus at a price level of p = $63 for the price-supply equation below. p=…

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Q: Evaluate the integral. 3 1₁²₁x² +2 (x² + 2x - 5) dx

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Q: (D3-2D2-5D +6)y=e4x, Find Yp a. 1 O 24 O b. 1 0 1 6 O d. 4x 1 4x 18 O e. none 4x e

A: To find the particular integral of given differential equation

Q: The graph shows the number of fatal automobile accidents in a certain state for various years.…

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Q: Consider the function f(x) = 8√x + 5 on the interval [1, 8]. Find the average or mean slope of the…

A: Givenf(x)=8x+5We are required to find the average or mean slope of the function on the interval…

Q: (4) Find the volume of the solid obtained by rotating the triangle (2,0)(2, 4)(1, 1) about the…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) √² dx 2 + 8x 1 + x²

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Q: Match the general solutions to the differential equations. ✓ (D²+2D+5)y=0 ✓ (D²-6D+10)y=0 ✓…

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Q: Evaluate the integral. 2 6² ²1 t² + 1 - dt

A: The given integral is  ∫01 2t2+1dt

Q: uppose f(x) = 2x² + 8x. Find: The slope of the line tangent to f(x) at x = 2. swer: The…

A: Given query is to find the slope of tangent nad the equation of the tangent.

Q: Find the distance between the two points shown below. 2 1 -1 -2- -3 -4 -5 Distance = A 2 B + Ta…

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Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

A: Use differentiation to find the horizontal tangent line.

Q: (D3-4D2)y = 5, Find Yp O a. 5x² 4 O b. 5x² 4 O C. 5x² 12 O d. 5x² 12 O e. none

A: To find Yp

Q: Find the parametric equations for the line described below. 1. The line through the point P(4, -4,…

A: We have to find parametric equations for the line.

Q: Use implicit differentiation to find d2y/dx2 in terms of x and y.  3x2+2y2 = 5

A: The given differential equation is  3x2+2y2=5 We have to find the d2ydx2.

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

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Q: Evaluate tan³ (32)sec² (32)dr + C

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Q: Evaluate the integral. [² f(x) dx where f(x) = = {} if -4 ≤ x ≤ 0 2 -x² if 0 < x≤

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Q: Use the Alternating series Test, if applicable to determine the convergence or divergence of the…

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Q: csc cottan cot (a) [s 0 de

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Maximum Revenue Jester's Deli sells 640 sandwiches at a price of $8 each. A market survey shows that…

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Q: A river is flowing downstream at a constant rate of 5 ft/s. We take a rectangular net that is 6 ft…

A: Given river velocity ( v ) = 5 ftsrectangular net whose area is A A = length × breadth

Q: Inventory Control A company anticipates there will be a demand for 20,000 copies of a certain book…

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Q: 3. Use implicit differentiation to find dy daif x³y² - y² = 5x + 4 tan y

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Q: (D² + 5D + 4)y = 3-2x, Find Yp O a. 11 8 O b. O C 1 11 O d. 11 8 11 8 3 8 + X 3 e none I + X 3 X X 3

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Q: 12 5cm C = 9.8 cm and LA = 59° LC is? The messure of Sime Sims Mice Sim (98 x sim 59°) 12.5 =…

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Q: 4. lim cos(x )x

A: We can find the limit of the given function by sequential method. Let xn  and  yn be two sequence…

Q: Find the first four term of the Maclaurin series of the function f(x)=√x at c=1. Give an estimate…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1

Q: B. Eliminate the arbitrary constants in the equation y = C₁e²x+c₂e³ +6e". Use (a) elimination method…

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Q: Use a power series to represent the function f(x) = Provide your answer below: m 2 6x + 5 I centered…

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Q: C. Verify by substitution that each given function is a solution of the given differential equation.…

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Q: Find the area of the region enclosed between f(x)=x²-x+ 10 and g(x) = 2x²-3x+1 Area =

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Q: Find the rectangular coordinates (x, y, z) of the point with the cylindrical coordinates (6,2,2).…

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Q: Find the c value that satisfies the Mean Value Theorem. f(x) = 3 + √√x on the interval [0,4]

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Q: Evaluate the integral √2³ (2¹ – 10) "dr by making the substitution = ¹-10.

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Q: Find the surface area of the part of the sphere x² + y² + z² = 100 that lies above the cone z = √x²…

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Q: 6.2 7.2 6.8 5.6 5.0 4.8 4.8

A: Given pool, The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter…

Q: (D-5D + 8D-4)y = e, Find Y = Yc - Yp 1 Cate -21 2 a. Cetci 2t O b. 2x 2x C₁ et + C₂²1 +C₁₂re ² +…

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Q: Given a = log7 5 and b = log, 4, use logarithmic properties to represent each of the following…

A: Given that a=log75 and b=log74, using logarithm properties to represent each of the given function…

Q: Use the ratio test to determine if the series converges or diverges n (1+27) ² Σ ∞0 n=2

A: The given series is  ∑n=2∞ 1+2nn2n

Q: Evaluate the following limits: a) lim 1+ (1 + √/1² n b) lim x-0 1+x X c) lim(1+sin 4x) cotx x-0*

A: We have to solve Given limits.