cos sin

Q: An oil tanker is leaking oil at a rate given in barrels per hour by the function shown below, wheret...

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Q: Absolute Extreme Values. 10z Find the absolute maximum and minimum values of the function f(x) = on ...

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Q: Determine the general solution of the differential equation: dy _Y -1+ x dx Select one: Оа. X. x² 2 ...

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Q: Find a + b, 4a + Sb, jal, and la - bl. (Simplify your vectors completely.) a = (-6, 8), b = (10, -4)...

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Q: Find the area bounded by the graphs of the indicated equations. Compute answers to three decimal pla...

A: In this question we have to find the bounded region.

Q: Calculete Je by integlat: to 12+-3)dt Letter S, ot number 5 -st thenz 3.

A: Calculate integration by part in the following way:

Q: А. Compare with dæ = (Evaluate your integral with bottom limit c = 1.) This sum OA. converges OB. di...

A: "Since you have asked multiple questions, we will solve the first question for you. If you wnat any ...

Q: 3. Given vector u = (-1,2,-3) and the point A(1,-2, 1). (a) Find the equation of the plane perpendic...

A: According to question, u⇀ = -1, 2, -3A = 1, -2, 1.

Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent, fin...

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Q: To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an ang...

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Q: Define the binary operator by: a o b = a + b+4 Simplify each of the following. Do the order of opera...

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Q: S. =1+ 1 -+- 1 1 + +... - 00 4 9 16

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Q: Solve x²y" + xy' – ²y = 0 %3|

A: Given differential equation:            x2y'' + xy' - λ2y = 0

Q: Construct a table of values for each, sketch its graph and describe the properties being exhibited o...

A: Use graph

Q: Find the area bounded by the two curves f(x) = x2 – 8x + 8 and g(x) = - x² + 6x – 8, and the two ver...

A: The given two curves:fx=x2-8x+8 and gx=-x2+6x-8and the two vertical lines are x=3 and x=4.We need to...

Q: Substitution in the Indefinite Integral Part 1. Using the substitution: u = =x* + 10. Re-write the i...

A: Given I=∫-9x3(x4+10)13dx Let assume x4+10=u⇒x3dx=du4 I=-9∫u13du4 =-94∫u13du =-94u1414+c =-9u1456+c

Q: In (x²) esin(2r)

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Q: Derive this parametric equation a third derivative and a fourth derivative Y"+p(x)y'+Q(x)y=0

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Q: The base of the ladder in the figure is a = 10 ft from the building, and the angle formed by the lad...

A: Using trigonometric identities.

Q: Solve (D6 – 2D5 + D4)y = 120x + 8e*.

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Q: If a ball is thrown into the air at 96 feet per second from the top of a 109-foot-tall building, its...

A: A ball is thrown into the air at 96 feet per second and from the top of the 109 feet tall building, ...

Q: Find the area of the triangle with vertices (2, 1, 5), (–1, 3, 4), and (3, 0, 6).

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Q: Assume that between 2007 and 2010, 'messaging' became increasingly popular. The number of messages (...

A: The given function is  T(x) =17402x-124839  Where x is the number of years after 2000. (a) find the ...

Q: el.4z +e-1.4z Let C be the curve y = for 0.5 < <1.9. A graph containing C follows. 2.8 5- 4- 0.25 05...

A: I have appended the formula used in the solution part

Q: If u'(x) between u(x) and v(x). v(x), write a statement involving integral sign giving the relations...

A: Given: u'(x)=v(x)we know that u'(x)=du(x)dxdu(x)dx=v(x)du(x)=v(x) dx

Q: The Bayes' Poker Table Company determines that the marginal cost, in dollars, for producing the xth ...

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Q: lim - 1 r0 1+r

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Q: The demand function for a product is given by p+ 2x = 100 and the supply function is given by p- 3x ...

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Q: Determine from the graph whether the function has any absolute extreme values on the interval fa.b)....

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Q: my

A: Yes, your answer is correct. 

Q: -1 3 -1] 0 1 1 1. What is the reduced row echelon form (RREF) of the matrix

A: Since  The first non-zero number in the second row (the leading entry) is the number 1. We need to u...

Q: Convert (–1, /3, 2/3) from rectangular to spherical coordinates

A: GIven coordinates are -1, 3, 23 We need to convert these to spherical coordinates  For rectangle (x,...

Q: Determine the amplitude and period of the following function without graphing. y = 6cos(piX)

A: Amplitude of the function is 6.

Q: Find the direction 0 in which the directional derivative of the function x + y f(x, y) = 2(x + y) - ...

A: Given that: f(x, y)=2(x+y)-x+yxy

Q: Evaluate the following limit: 10 lim 9 i0 sin t t Type inf for the infinity symbol. Type - inf for n...

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Q: 5/xy dy -2, х, у» 0 dx y =

A: See the details solution in below

Q: 4+ 3 1. Express 3 -1 with a rationalized denominator.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any spe...

Q: 1 1 + 1 + V4 S. =1+ +... %3D V3 8.

A: Given query is to find the next terms of the series.

Q: 5. Compute derivatives of the following functions. You are not required to simplify your derivative ...

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Q: Determine all critical points for the function. T(x) = x3 - 3x? + 8 O A. x= - 1 and x = 1 O B. x= 0 ...

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Q: Solve a Related Rates Problem. You and a friend are riding your bikes to a restaurant that you think...

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 1 + 2x 1 < x< 1 ...

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Q: 7. The following table lists the amount of ice cream consumed in the United States (in millions of g...

A: hence, our inputs are :-      Sum of X = 8078                       Sum of Y = 1069Mean of X (MX) =...

Q: Substitution in the Definite Integral Suppose we want to evaluate the definite integral, tan a sec z...

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Q: Find the exact value of each expression. (a) sin 22° cos 8° + cos 22° sin 8° (b) sin 75° (c) 11T sin...

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Q: Find the area under the region below y = e® and above the x-axis for 0 < x < 2.

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Q: Given a W = 8 inch by L = 15 inch piece of paper, we will cut out squares(size x by x) from each cor...

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Q: Integrate the given function. You may need to use a trigonometric identity to change the integral in...

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Q: Write z1 and z2 in polar form. (Express 0 in radians. Let 0 < 0 < 2n.) z1 = 4/3 - 4i, z2 = -1 + i Z1...

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Q: The general solution of the differential equation dy dx + 2. is Select one: O A. y = x(In(Cx))² O B....

A: Given differential equation, dydx=yx+2yx