6. 12 3 4 7 11 9 O о О в Ос о С CO D D. A 0 5 6 7 B. [8 20] с. 11 D. None of them

Q: Definite

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Q: Find dy and simplify whenever possible. 1. y=(5-6x)¹2 4x-5 2. y=--- 2x + 1 3. y=(2x+5)(4x−1)

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Q: Compute the directional derivative and gradient of at (2,-1,0) in the direction of the unit vector…

A: Dot product of A.B is ad+be+cf where A=<a,b,c> and B=<d,e,f>.

Q: 8. Consider an object moving along a line with velocity v(t) = 6t2 - 12t with t measured in seconds…

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Q: 8. Evaluate 2 (9x² - 10x + 6)dx

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Q: 3. The region bounded by the ellipse 16x² + 9y² = 144 is revolved about the x-axis. Find the volume…

A: We have to find the volume.

Q: X=2Seco y = 4 tano find cay dx² 1. when 0-1

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Q: 5. 2 Let f(x) = 5x4. +8√x - 3. x² (a) Find f'(x). (b) Find an equation for the tangent line to the…

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Q: Differentiate the function. 71 y=(9-x) 0 dy | dx

A: We can solve this as follows:

Q: 1 5 X If y = - find dy dx at x = 2.

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Q: 5. Find the average value of f(x) = 1 X on [e4, e5].

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Q: Q3/ Evaluate four of the following integrals. ( x³+1 sinx cosx dx b. f*+¹ dx c a. S √1+cos2x x²

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Q: Acceleration due to gravity in feet per squared second is the constant function a(t) = -32. Suppose…

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Q: Show that the equation is homogeneous and find its solution. dy/dx = x+3y/x-y

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Q: IF y = u* + 3u² & u = 3x Find dy dX

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Q: n np ₂ (²+1), J пр I)

A: Topic = Integration

Q: Question 1 A triangular trough is 10 ft long, 6 ft across the top, and 3 ft deep. If water flows in…

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Q: 10. Z+Z = |z| O True O false

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Q: Find y = x-6 dx dx

A: Given,y=x-6                                                             (1)…

Q: For the given function, find (a) the equation of the secant line through the points where x has the…

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Q: Forces of 19lbs and 40lbs act on a body producing a resulting force of 50lbs. What is the angle…

A: The given two forces are 19lbs and 40 lbs. The resulting force is 50 lbs. Because the resultant is…

Q: 1. Supposed that you will use a cuboid made of cardboard with a volume of 60cm³. Find the area of…

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Q: 1. x² - 2xy + y² − 6x + 2 = 0

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Q: Direction: Use substitution rule to evaluate the following integrals. COS X 1. S dx 2x 1+x² 3. f- dx…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: lim 2 x²-9 2 x² - 4x +3 where c = 0 and 1

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Q: The equation N (t) 500 models the number of people in a town who have heard a rumor 1-49e 0.7t after…

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Q: Find the cosine of the angle between the curves (cost, -sin(t)/5, sint) and (cos(nt/3), sin(nt/3),…

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Q: What is the equation of the line perpendicular to the function y = x³ + 7x² + 5x-2 at x = 0? O 3x +…

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Q: You intend to conduct a test of homogeneity for a contingency table with 5 categories in the column…

A: answer is in next step

Q: 3- Find the length of the curves in Exercises 1-4. x = = (y3/2/3) - y¹/2 from y = 1 to y = 9

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Q: 1 +x² √x (+/- + x² Given f(x)=x√x + x and g(x) - = f(x) (exe-1-x-3/4+) (² + x² g(x) √x)² 1 ° = [e…

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Q: 2. On the wall of Mr. Piamonte's house, a 6 meter picture was hung so that its location is 5 meters…

A: 2.

Q: Determine the intervals on which the function is concave up or down and find the points of…

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Q: Q3: Show that b. I — = ƒ‰e¯¹8(2t − 2). dt = ½-½ 2e C. L²u(t)dt = = [cosnt. 8(t − 2) + 38(t+1) +…

A: We have to prove the given statement.     According to our guidelines we can solve only three…

Q: Find lim [x csc(x)] as x approaches zero.

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Q: The height of a rider on a Ferris wheel is represented by the equation below. h (t) = 62 +45…

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Q: In Problems 1-4, find the Laplace transform of the given function. Determine a condition on s that…

A: To find the laplace transform of the given function.

Q: Find x²-x-12 lim x--3 x2 + 8x + 15

A: We have to find limit of given function

Q: Differentiate with respect to t. y = d cos(t) + t² sin(t) y'- sin d( 2t + d) + t²cos (t)

A: Given problem:- Differentiate with respect to t.   y = d cos(t) + t2 sin(t)

Q: 1 6x² ex³ dx

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Q: -9.763332111 is O True false a Whole number.

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Q: Solution 1 y = (x +3)(2x – 5) y = 2x² + 6x - 5x - 15 y = 2x2 + x - 15 y = 2(2x)2−1+1-0 y' = 4x+1…

A: Please see the below picture for detailed solution.

Q: (E) List the values of all local minima of f(x). If there are no local minima, enter 'NONE'. x x…

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Q: dy dw y-w W y+ W

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Q: 1 If A O True O false 1 2 32 is a matrix then A¹ = [13].

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Q: Q4) Find the maximum eigen value for the system 4 = x ¹ (0) = (1 1) 3] with initial vector

A: This is a problem related to matrix operation. Based on the general formula and concept we will find…

Q: Determine the area of the triangle bounded by the coordinate axes and the tangent to x² - y = 0 at x…

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Q: Determine if 1781 is divisible by 3, 6, 7, 8, and 9.

A: Determine if 1781 is divisible by 3, 6, 7, 8, and 9

Q: 1. what is the basic concept of a vector? How is this vector calculated? What techniques s/rules can…

A: A vector is a quantity which have direction as well as magnitude.

Q: ator of a sphere, parameterized by spherical coordinates 0, and p. Let "north" point to the top

A: