The height (in feet) of a stone thrown upward on another planet is given by the function f (t) = -4t? + 40t. Using the formula for slope of a secant, estimate the instantaneous velocity of the stone 8 seconds after it is thrown upward on that planet.

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Q: Which of the following is a false statement? In the expansion of (a +b) the coefficient of a b° is 2...

A: We have to choose the false statement.

Q: Find the derivative of the function at Po in the direction of A. f(x,y) = - 5xy + 2y. Po(-7,1), A= 2...

A: Given query is to find indicated derivative.

Q: Consider the following. u = (1, -9, -7), v = (6, -2, 0) (a) Find the projection of u onto v. (b) Fin...

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (5...

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x.y) = - 7x - 7xy - 3y...

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Q: sume that w = and f (x) = e . Find and dt ds II II

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Q: tan (n) – tan (n + 1) n=1 b) 2" + 3" 4" n=]

A: We have to find the sum of the given series

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Q: What value of K will make the lines 2x + 3y -2= 0 and -6x + Ky= 3 perpendicular? Parallel?

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Q: Justify if the following table of values is linear, quadratic or neither. -3 -10 -2 -1 12 26 1. 42 2...

A: We have to say that whether it is quadratic, linear or neither.

Q: Evaluate the following integrals: S sin 'xcos x dx 1.

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Q: 2. An open top rectangular tank with a square base is to have a volume of 10 cubic feet. The bottom ...

A: To find out the sum of x and y for the most economical dimensions. 

Q: The distance traveled by a rocket (in feet) after launch is given by the function f (t) = -16t? + 1,...

A: Given query is to find the velocity after 15 second.

Q: Suppose f is differentiable on (a, b). If c E (a, b) and f' (c) = 0, thenf (c) is either the maximum...

A: Given f is differentiable on (a,b). and c lies in (a,b) such that f'(c)=0.

Q: In constructing an open rectangular box from 1323 ft of material, what dimensions will result in a b...

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Q: ydx 2. The exact differential what is the dxe")=

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Q: HER Verify that the two lines are parallel, and find the distance between the lines. (Round your ans...

A: Given

Q: If a machine can produce 2,550 metal parts in 7 ½ hours, how many hours would it take the machine to...

A: 2550 = 7 12 hrs converting hours to minutes 7 12 hrs= 450 mins 2550 metal parts=450 mins 1 metal par...

Q: S sinxcos(2x)dx

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Q: マレナンマ)dx lely 1. ス の

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Q: 3. Show that, in the region D: 1< x<e, 0<y<In(x), the following double integral 3e4 + 1 x3 dA 16

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Q: 3. 5 (xº - + 2ex) dx 2ех

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Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used ...

A:     ∑n=1∞1(n+1)!-n!=∑n=1∞1(n+1)n!-n!=∑n=1∞1n(n!)≤∑n=1∞12n And the above series converges.

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A:

Q: Graph the distance function f(t) = -4t² + 6t + 8, where t is the time in seconds. Draw secants betwe...

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Q: 1. Find the derivative of the following functions. 1 (b) y(t) = Vi (c) y(t) = - (a) y(t) = t %3D

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Q: Consider the following two series A = EE" and - B = n=1 n=1 Which of the following statements is TRU...

A: Given the series  A=∑n=1∞x-1nn and B=∑n=1∞x-1en

Q: Find a) any critical values and b) any relative extrema. g(x) = x - 27x+ 56 a) Select the correct ch...

A: for (a) - critical values is +3 and -3  for (b) - the relative maximum point is x = -3 and relative ...

Q: 3 4+2x

A: Given,             32=x4+2xTo find : What is the missing term in the proportion?

Q: (x² +6x , x< a is continuous Find all values of a such that the function, g(x)=. 2х-4 , everywhere.

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Q: (c) Use regression in Desmos to check your answer to Part (b) by entering the table and typing expre...

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Q: Exercise 2 Sketch and briefly describe the surface whose equation is given: r = 3 p = 3 4 4- 2 Descr...

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Q: 4. Find the volume of the solid bounded above by the paraboloid z = 4 - x² – y?, inside the cylinder...

A: Yes you have done correct 

Q: integrate x^4cotx^5 dx from 0.4 to 0.8

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A: We can find the critical numbers as below.

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer alge...

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Q: S .2 4. sin x cosx dx

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Q: A right circular cylinder has a fixed height of 4m. Find the rate of change of its volume V with res...

A: Let h and r denote the hieght and radius of base of the cylinder.1

Q: Determine D103 (cos 2x).

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Q: Let a = ci + jand b = 7i + 24j. Find c so that the angle between a and b is Round your answers to fo...

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Q: Use Wallis's Formulas to evaluate the integral. R/2 cos'(x) dx

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Q: 13. Given y = arcsin(x) – x/1-x² , what is y'? 2r? A) |1-. 2x B) C) D)

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Q: Write the given series in sigma form and find the sum 3 - (3/2) + (3/4) - (3/8) . . . .

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Q: Sketch the region enclosed by the curves and find its area. 1 y : V1 – x²' y = 2 NOTE: Enter the exa...

A: Intersection points:y=22=11-x21-x2=14x2=34x=±32(±32, 2)

Q: *43メー バ+5 K

A: Please see the answer below.

Q: Find the area of the triangle with vertices P(1,5, –5), Q(0,0,0) and R(2,4, 1). NOTE: Enter the exac...

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Q: Find the area of the triangle with vertices P(1,3, –3), Q(0,0,0) and R(4,5, 1). NOTE: Enter the exac...

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Q: 1. Integrating factors found by inspection: (xy' +xy kdx+ (x²y² – 2dy = 0

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Q: Find the surface area generated by rotating x=4*sqrt(t), y= ((t^3)/3)+(1/2t^2), 1<=t<=3 around the x...

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