Use properties of the cross product to find the area of the parallelogra nerated by the two vectors a = 21 +1 -k and b = 1+k in 3D. -

Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy? ∞…

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Q: 9. f(-5) = (5)²-19 = 25 -19 -6 b. lim x²-19 X→-5 = (-5)² -19 = 25-19 = 6 с C f(-5) = lim f(x) X-7-5…

A: Solution is given below:

Q: Determine a for each arithmetic sequence. See Example 5. 33. as = 27, as 87 www 34. α12 = 60, 920 =…

A: A detailed solution is given below

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Q: Find T, N and B for the curve F(t) = (2 cos(5t), 2 sin(5t), 3t) at the point t -0 Give your answers…

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Q: 9 Use the second derivative test to find the location of all local extrema in the interval (4) for…

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Q: H.w.2 Evaluate the following cartesian integrals by changing them into equivalent Polar integrals: 4…

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Q: Calculate the work expended when a particle is moved from 0 = (0,0) to Q = (4,4) along the segments…

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Q: 2) √ x¹ (5-x²) dx

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Q: Q/ By uesing chain rule Find du de For this functions E² +1 x² + y² X x = tanzt, y = e 2x a = / 11 ?

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Q: Evaluate the iterated integral. - y² I. L (x + y) dx dy

A: Take integration

Q: For a person at rest, the velocity v (in liters per second) of air flow into and out of the lungs…

A: Explained below

Q: 5. A manufacturer offers to deliver to a dealer 300 tables at $90.00 per table and to reduce the…

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Q: dy Find given that dt x² + y² = 2x + 4y, x = 3 y = 1, and dy = | dt dx dt = 6

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Q: x²-3x - 7 √ - (x² + x + 2)(2x − 1) dx

A: Given: I=∫x2-3x-7x2+x+22x-1dx   As we know that; ∫1ax+bdx=1alnax+b+C

Q: 3 Evaluate x² 2 SOFT S S x² sin y dy dz dx

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Q: Evaluate fff 12y - 8x dV wherein the limits of integration are the region behind y = 10-2z and in…

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Q: Find the devivative lic F(t)=(ナースト+1)(2+2

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Q: 4. Suppose a weight is to be held 10 feet below a horizontal line AB by a wire in the shape of Y. If…

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Q: Given the vectors à, b and è in 3dD. Identify which of the following operation is possible or not…

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Q: =H.w.2 Evaluate the following cartesian integrals by - changing them into equivalent Polar integrals…

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Q: The radius of the base of a right circular cone is decreasing at the rate of 4 cm/min, and the…

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Q: 8c³ +9c -x³ + 9x In the following questions, determine the behavior of h(z) If a limit does not…

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Q: B. Convert the following to degree or radian. 1.330° 2.-485° 4 п 3.- - 4.- 7 -бл 5

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Q: The average monthly precipitation P (in inches) for a certain city can be modeled by P = 1.81…

A: We need to find average precipitation.

Q: Evaluate the iterated integral. 6 [[° (x + y) dy dx

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Q: limn o 9-h-3 h 1 6

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Q: [10 sin(2x) cos(2x) √ cos²(2x)-5 dx O a. 5 (cos² (2x)-5) ³/5 + C 3 5 O b. -(cos² (2x)-5)³/2 + C OC.…

A: To evaluate the given integral.

Q: Decide whether the integral is improper. [ In(x²) dx proper O improper Explain your reasoning.…

A: Here we have to decide whether the given integral is improper.

Q: Evaluate the following 1. S sin x sin (cos x) dx

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Q: Determine an and as for each arithmetic sequence. See Examples 3 and 4. 23. 5, 7, 9,... 24. -3, -7,…

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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: Use AMNP, as needed, to complete the given parts. 18 cm 15 cm h cm 16 cm Part 1: Part 2: Part 3:…

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

Q: Evaluate the following x4 (5-x²) dx

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Q: A triangle has sides represented by the vectors (2, 1) and (3, 4). Determine the length of the third…

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Q: For items 1-5 A 10-ft ladder is leaning against a house on flat ground. The house is to the left of…

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Q: Problem 1: Obtain ODE by eliminating arbitrary constant A, B, and C y = Ae2x + Be + C

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Q: Find the surface area generated by revolving one arc (first quadrant) of y = cos x about the x-axis.…

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Q: 6. 22x+x dx

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Q: Approximate the local minimum value of the function given below. Use Newton's method with the…

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Q: 38. a10-49.5, a14 = -73.5

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Q: 6. 22x+x dx 5. f 22x

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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

A: Here, ∫R∫yx2+y2dA is evaluated where R: trapezoid bounded by y=x, y=8x, x=1, x=8 which is:

Q: 8. For the enclosed regions bounded by y = x² - 6x and y = -2x in the graph, what is the integral…

A: Given   From the graph intersection point

Q: The f sin x cos x dx is not equal to {A} -cos 2x + C {B} sin²x + C {C}-{cos²x + C {D} sin 2x + C

A: A detailed solution is given below

Q: Find the length of the curve r(t) = e³t cos(t), y(t) = et sin(t) for 0 < t < 10. Give an exact…

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Q: valuate the triple integral ***"* sin² (z)ze-²v³ dzdyda

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Q: 7) Relative to an origin O, the position vectors of the points A and B are given by OA P (-) and OB=…

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Q: 2. Given the matrix A below, Solve for IAI-¹ A = 23 46 24 135 -1 2 2-3 4874

A: Given the matrix A below, A=123424681357-12-34to solve for A-1.

Q: 1. A man on a wharf, whose hand is 8.2 m above the level of the water surface is pulling a rope tied…

A: Given;  Rope length =20m Height =8.2m