t²dt can best be evaluated by: (A Trigonometric Formula B Integration by Parts (c) Trigonometric Transf ormation D) None E Power Formula

Q: x²– 9 ?

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Q: One of the correct steps to evaluate x2inx x²Inx dx to yield the correct integral A x?Inx B 1 x3 dx…

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Q: (x+ct u(x,t) f(x- ct) +f(x+ ct)] + g(y)dy x-ct

A: solution

Q: Evaluate the definite integral. NOTE: Enter the exact answer. ti + tj dt

A:

Q: 20) Solve the higher order initial-value problem y"=x+1/x;y(2) =1 and y '(2) = 0 1 7 7 1 15 + -- X-…

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Q: 7. For what values of m does the function y = e™ satisfying the following equation y" – 3y' – 10y =…

A: Here is the solution:

Q: furt A)APproximate tue area unde hex)=X2 from x=0 to X=2u5ing four rectungles and X=0 a left and…

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Q: Sketch the region whose area is represented by the iterated integral. dyds un

A: Option C is correct.As lower limit in inner integration is tanx2 which you can see in the graph.if…

Q: Given Cost and Revenue functions C(q) = q° - 8q + 52q and R(g) = - 3q + 2500q, find the quantity…

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Q: - 3 Let f(x) = 8xVæ + x2. f'(x) =

A: Use the derivative for finding the answer.

Q: 7 Does the series 2 converge or diverge? n= 1 Choose the correct answer below. O A. The series…

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Q: Use a change of variables or the table to evaluate the following definite integral. 10 e 2X dx 2x…

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Q: Use a graph of g to estimate lim g(x) or to show that the limit does not exist. Evaluate g(x) near x…

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Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = e10ti + e-*j K(t) =

A:

Q: If C(t) = 46.5t e -0.24t measures the concentration, in ng of a drug in a person's system t hours…

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Q: 5/10 Question 7 of 9, Step 1 of 1 Correct -2 2 The demand function for a particular product is given…

A: Given problem:- The demand function for a particular product is given by the function D(x) =…

Q: Determine the following limits, using o or - o when appropriate, or state that they do not exist. x5…

A: Solve the given limit question

Q: Suppose that in the inventory problem, the storage cost depends on the maximum inventory size,…

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Q: QUESTION 12 Suppose the demand function D(x) = x² – 12× + 36 and supply function S(x) = x2. Find…

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Q: Evaluate the line integral -ydx + dy along the curve C: y = 30x from (30, 30) to (0,0). %3D NOTE:…

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Q: dx J (9x2-36)3 a. b. rV2-ezx dx ex V5+ln²x dx C.

A:

Q: I) sin X dy dx Sin 2X - y Cos X

A: Explanation of the answer is as follows

Q: Find the volume of the solid that is bounded by the surfaces z = = 92 - x2 - y2 in the first octant.…

A: 0≤ z ≤ 81-x2-y2z=0x2+y2=920≤y≤81-x20≤x≤9

Q: Evaluate the integral. yz dx dz dy O8 68 3.

A: We have to evaluate the given integral

Q: 17) Find the area of the serface genereted by revolving tue curr X> 3t, y=2t about fue x-Qx's on tue…

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Q: A rectangular tank with a square base, an open top, and a volume of 5324 ft is to be constructed of…

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Q: A company determines that its demand function is given by p(g) = - 0.8q + 576 and that its cost…

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Q: L3x²dx = 65

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Q: Find the exact arc length of the curve x = + 2) ? from y = 1 to y = 5. Enter the exact answer. L =

A: Given problem:-

Q: (e) for tue ginen point in poler coordiinetes , fird tue comespandy ctenquler Coorelinetes fer tue…

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Q: Find f(x) given that f'(x) = V+ x² and f(0) = 2.

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Q: y = sec?(x), 0s

A: Here is the solution

Q: Suppose f(x, y, z) = x2 + y + z? and W is the solid cylinder with height 7 and base radius 3 that is…

A: Given that f(x,y,z) = x2+y2+z2 and W is the solid cylinder with height 7 and base radius 3 that is…

Q: From 1990 to 2000 the student tuition at a University grew from $12,000 to $18,000. (a) Using the…

A:

Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). 13 r(t) = t²i + t'"j K(t) =

A: Find k(t).

Q: Calculate the arc length of y = 3x + 3 over the interval [0, 3]. (Use symbolic notation and…

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Q: Use substitution to find the Taylor series at x=0 of the function e -9x. Choose the correct Taylor…

A: Explanation of the answer is as follows

Q: 8. Find the volume of the solid generated by revolving the shaded region about x-axis. 10+y 9- y = -…

A: As per guidelines, I can answer only one question. Since you have asked for multiple, so I did first…

Q: The decay of a certain substance is modelled by the function N(t) = 100 (3+ e), where the number of…

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Q: Evaluate F. dr. Jc F(x, y) = 9xi + 6yj C: r(t) = ti + V4 - tj, -1 sts 1

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Q: A 5-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away…

A: To find the rate of change of area of the triangle formed .

Q: Find V · (F × G), if F(x, y, z) = 3ri+j+6yk and G(x, y, z) = xi+ yj – zk. V· (F × G) ||

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Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: This question can be solved using the concept of tangent and normal in vector form.

Q: Find the volume of the solid that is bounded by the surfaces z = 82 - x2 - y2, z = 0, x = 0, y = 0…

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Q: t- 36 Let g(t) = VE -6 a. Make two tables, one showing the values of g for t= 35.9, 35.99, and…

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Q: Evaluate: /x*V1-x*dx A None 3 글(1-x4) 2 +C В 3 -(1-*) C 3 (D (1-x+) +c - C 3 E 6. o+z (p*-1)- -

A:

Q: Consider the following functions. f(x) g(x) = 8 sin x = 8 cos 2x | 2 6

A: The objective of the question is evaluate the area of the given bounded region.

Q: The plot below represents the function f(x): 5- 4 2 -5 -4 -3 -2 -1 I 2 3 4 5 -1 -2 -3 -4 Evaluate f(…

A: Consider the function

Q: The region R lies on the lines x – y = 8, x + 7y = 8, x - y =| and x + 7y =

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Q: Complete parts a through c for the given function. f(x) = 4x° - 5x - 40x° + 5 on [-3,4] a. Locate…

A: Given problem:- f(x) =  4x5 -5x4 -40x3 +5 To find:- a). Critical points  b) Use the First Derivative…