They 2 r 1 10 mber of Red Cars hat was the average number of red cars that they saw each hour? Round your answer to the nearest tenth.) 34 Time Remaining: 00:58:22 Next

Q: on Find the absolute minimum and maximum of the function f(x, y) = 2x¹ - xy² + 2y² the region 0≤x≤…

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Q: ’(x)5 or -60 if x0 if x7 ; F^’’(x

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Q: A movie poster is to contain 0.48 square meters of colored print. The margins on each side are 2.54…

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Q: dx √3 1 + x²

A: we use the  formula ∫dx1+x2 = tan-1 x    +C

Q: Find the value of b for which the differential equation (yelory + x) dx + (bxe¹0ry) dy = 0 10xy is…

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Q: dy For the following composite function, find an inner function u = g(x) and an outer function y = f…

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Q: 26. b) Given four points A(-2, 0, -3), B (1, -2, 1), C (-2,-3,2), D ,0). Find the equation of the…

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Q: Evaluate using Partial Fraction Decomposition: S x2 (x+1)²(x-1) -dx

A: We know, ∫dxx-a=lnx-a, for any real number a ∫dxxn=x1-n1-n, for any real number n.

Q: Solve the following integrals: 1. S-7e*dx 2. (2ex - 6x) dx √² (3x) dx 3.

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Q: The radius of convergence for the series Select one: O 10 O 1 On/10 n=0 n²xn 10n is

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Q: Determine whether the equation is exact. If it is exact, find the solution. 3 2eycosy + = C 2. 3…

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Q: 5- The tail of vectors a and b form two sides of a parallelogram. Vectors is 30 degrees, and the…

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Q: Find dy dx G. y= = 20 In (e 5* +20) b. y = 20x (220x) c. y = €²0x-1 + 20 (n (ex)

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Q: -Q3/As the function f(x,y) = at (-1,2) xy 1 + x² + y² is Continuous

A: Here we have to check the continuity of the function at the given point.

Q: Evaluate 1¹ 1 - cos 2x sin 2x dx In | csc 2x + cot 2x | -ln | sin 2x | +C In 1|csc 2x-cot 2x |--In |…

A: The given integral is: I=∫1-cos2xsin2x   As we know the common integrals; 1). ∫cscxdx=lncscx-cotx+C…

Q: Correlational designs have one independent variable and one dependent variable  true or false?

A: Explanation:-  A  dependent variable is the variable to be explained and independent variables are…

Q: 6dx x - √ S 3√x²

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Q: 11. An expression that is equivalent to 2tan z Otan z Ocot z 02 cot z sin 2x 1-cos 2z is

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Q: √√3 L dx 1+x²

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Q: 0 KIN KIN π 2 2 ²/² 02 sin o dr do de 0

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Q: Let f be a function continuous on R and F(x) = x O f'(0) Of(0) ○ 2ƒ(0) O 0 *f(t)dt. Then F''(0) is…

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Q: Question 5. Limits at Infinity; Horizontal Asymptotes For the function f whose graph is given below,…

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Q: Solve the following integrals: 1. f-7e*dx 2. (2ex-6x) dx √(3¹) dx 3. 4. f 8x+1dx 5. f=dx X 6.…

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Q: 2 sin6 x cos⁹ x dx 0

A: See the details solution in below

Q: Let f and g be continuous functions such that: [Fox f(x) = 3 And So, determine the value of: [2f(x)…

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Q: 3) Given y(0) = 1 Over what area are we guaranteed a unique solution? Explain using existence and…

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Q: 6-Determine the volume of the parallelepiped formed by the vectors U= [2,1,3], v= [1, -4,2] and w=[…

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Q: A container with square base, vertical sides, and open top, is to be made from 3,000 ft² material.…

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Q: Determine

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Q: Solve the integral shown below. Show your solutions. 3xe ²x dx

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Q: Find :a. b. 20 fő -1 20 dy (1+y) ² (20-6x) e 20x - 3x² dx

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Q: Find a plane containing the point (6,-7,7) and the line x(t) y(t) z(t) = = = - 2 - 6t - 1 + 5t 5-t

A: Here we have to find the equation of plane

Q: (c) S x+4 x²+5x-6 2 dx

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Q: Solve the following equation by using LONG DIVISION 6x³5x²49x + 60 = 0

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Q: Example 4: Find the equation of the plane through the point (-4, 3, 1) that is perpendicular the…

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Q: dx √3 1 + x² ||| A B I✔ E & X Ⓡ 3

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Q: If P(x) is some polynomial then ΣP(n)x" has radius of convergence 1. n=1 Select one: O True O False

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Q: Evaluate the following integral using trigonometric substitution. 7 S √√36x² - 49 x3 dx, x> √36x² -…

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Q: A 30-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A: We have to find the limit.

Q: A circle with radius 4 units and a central angle of 110° is shown below. 4 a 110 2. The arc length,…

A: We can find the arc length as below.

Q: C. h(x) = = |x| x+3' x > 0

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Q: Evaluate using Partial Fraction Decomposition: (- 2. -dx

A: Use partial fraction to evaluate the integral

Q: f(x csc² 2x - x cos 2x)dx

A: Here we to integrate the given integral

Q: 120 N. if the distance between th charges is doubled, the force will be; O 15 N O 30N 60 N O40N

A: We will solve the problem.

Q: 2. Raya Is making a closed rectangular jewelry box with a square base. She is using two different…

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Q: (2x²9x9)dx x3 x³ - 9x

A: Here we have to do partial fraction and after that integration

Q: Let f^’’(x)=-4x^2(x-4)^3(x+3)^4 You are given second derivative A) on which intervals is the growth…

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Q: Solve for y esec(4y²-6y+14) = 3x + 1

A: To find the value of y , first, we take the logarithm on both sides of the given equation and then…

Q: f(x csc² 6x - x cos 6x)dx

A: Given, ∫(x csc2 6x-x cos 6x)dx

Q: Find 넥 L -TS (s+1)e- s² + 4s + 4

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