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Q: Question 16 Find the area of the region bounded by the curves y = 1 and y = x+ 12. **Note: You shoul...

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Q: 4- Lincar differential equations Problems: Solve the following differential equations, 1) xy'-y x co...

A: in multiple question we are only allowed to answer only first question ,for the rest question please...

Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time pass...

A:   Solve for upper and lower estimate                                                                ...

Q: A) Prove if each of the series below converges or diverges. "how your work and justify your explanat...

A: Given query is to find series converging or diverging 

Q: 1 c) E(-1)** 3n +2 n=1

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Q: Use the parametric equations x=e^-t , y=e^(2t) where t is real, to answer parts a through c. a. Fin...

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Q: 55. g(x) = In (1 – 3x) using f(x) %3D %3D 1 – 3x -

A: Solve the following

Q: 3 26x° + 600 dxr

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Q: Given f(x) dx = 0 and f(x) dx = 7, evaluate (a) F(x) dx. (b) F(x) dx - f(x) dx. 4f(x) dx. (d) 4f(x) ...

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Q: Question 3 2 To approximate dx using Riemann sum, the partition of 4 subintervals each length 2 are:...

A: Solution is given below:

Q: Question 1 S 4 e-3*dx = a) 흥(e-Sr) + C Ob)흑(e-2) + C c) 4x (e-3r) + C O d) –2(e-24) + C O e) None of...

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Q: d. Function p is defined as p(x) = 9(f(x)). Write the formula for p. Preview e. Function q is define...

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Q: The angle of elevation from a cat to the top of a tree is 7/6. If the cat is 30 feet from the base o...

A: Given that: Angle of elevation =π6Distance between cat and base of tree = 30ft

Q: Determine if the geometric series converges or diverges. If it converges, find its sum. O diverges 5...

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Q: Find the derivative of the following function. f(x) = In csch 16x

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Q: Refer to the function g(x)=x[x] determine g(-3.5)

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Q: Find the inflection points of f(x) = 4x + 39 – 15aæ? + 8. (Give your an

A: We can find the inflection points as below.

Q: Question 5 By choosing u; as the right endpoint of each subinterval [1,3], [3,5], [5,7], [7,9], the ...

A: Here, the length of each interval is ∆x=2. Now, let f(x)=(x-5)2 Let, the endpoints of the intervals ...

Q: Solve the problem. A private shipping company will accept a box for domestic shipment only if the su...

A: Given query is to find the maximum volume possible for the package.

Q: t (s? + t) ds – s (s² – (s² – t²) dt = 0 %3D - 242 In Let|

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Q: 1. Indicate if the following series converge or diverge. You must identify all the tests you use and...

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Q: 00 9n Σ 9n + 1 n=1

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Q: The picture below shows the graph y = f'(r) of the derivative of a function y = f(r). For each of th...

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Q: Question 6 S sin(x) dx = a) sin ()x + C O b) - cos(x) + C O9 - cos(x)x+ C Od) x+ C

A: Given query is to find the integral of sin(π).

Q: Find the derivative of the function. y = 9x5 − 4x3 + 3x − 10 y' =

A: The solution are next step

Q: Use the following functions to answer the questions: f(x) = Va + 6, g(x) = 8x + 4, h(x) = a. Evaluat...

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Q: (c) In(k) k=2

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Q: (-1)*k (b) E In k k=2

A: see below the answer

Q: up and concave down. 8. Find the absolute maximum and minimum values of the following function on th...

A: The solution of given problem is followed by

Q: By choosing u; as the right endpoint of each subinterval [1,3], [3,5], [5,7], [7,9], the approximate...

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Q: A farmer with 800 ft of fencing wants to enclose a rectangular area and then divide it into four pen...

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the figure, the perime...

Q: Evaluate (2х — у) dx + (х + 3у) dy. C: elliptic path x = 4sin(t), y = 3cos(t), from (0, 3) to (4, 0)

A: Line integral

Q: Find the curl of the vector field at the given point. F(x, y, z) = x²zi – 2xzj + yzk; (7, –9, 5)

A: Given vector field F(x,y,z) =x2 z i -2xz j +yz k   ; (7 , -9 , 5)

Q: A pyramid was built about 2580 BC. Its original height was 430 feet, 11 inches, but due to loss of i...

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Q: approximate (x – 6) dx using Riemann sum, the partition of 4 subintervals To each length 2 are: a) [...

A: The interval of the integral is:1, 9To find the partition

Q: Find the Maclaurin series of r'e". k=1

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Q: At the given point, find the slope of the curve or the line that is tangent to the curve, as request...

A: Given y5+x3=y2+12x  This is an implicit function.We need to find the slope of given curve at (0,1)

Q: A vector t has initial point (-5, -2) and terminal point (-3, 4). Write t in the form t=ai+b j.

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Q: 2 -1 dr 7. Approximate/1 using three rectangles and the right endpoint method.

A: Riemann sum

Q: Use logarithmic differentiation to find the derivative of y. 24) y = Vx(x + 3) %3D

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Q: definiuon of the integral given in Theorem 4 to evaluate the integral. | (x +2x-5kdx Hint: > n(n+1) ...

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Q: Give the form for yp if the method of undetermined coefficients were to be used. You ne not actually...

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Q: xy dx + ex° dy = 0 X

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Q: Find the point on the line y = x - 8 closest to the point (2, - 8). The function giving the distance...

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Q: The region bounded by the given curves is rotated about the specified axis. Find the volume V of the...

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Q: 13. Find al values of r+1 NO tlat tlhe graLplh of G( - 1 1)r 14(7 a cireler, (b) ( 1)r (r 1)" 60 57r...

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Q: True or false? If m < f (z) < M for a <I< b, then m (b – a) < fa f (z) dz < M (b – a) O True O False

A: Yes the statement is true  see below the explanation

Q: 3 3 For the function f(x,y,z) = 5+ 7xy – 4z°, find fy, fy, and f,.

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Q: Find the projection of u = (1, 1,4) along v = (1,1,0). (Give your answer using component form or sta...

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Q: A population of turkeys grows in a forest according to an exponential model A(t) = Ae^kt (t is measu...

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