Question 4 A ball is thrown downward wi Jot yet its height above the ground i nswered (a) Determine how long it tak Marked out of sec 50 Flag question (b) Determine the velocity of t ft/sec

Q: Vx 3+4x+8 dx 2 vã (Vx?)

A: Given that ∫x34+4x+8xx2 3dxSolution:let ,x=u6dx=6u5du∫u6×34+2u6×12+8u6×12 u6×236u5du∫u92+2u3+8u3 u46...

Q: An artificial wetland has been created by building an earth dam across a small creek, between the si...

A: I am attaching image so that you understand each and every step.

Q: Find an equation for the line tangent to the graph of  F(x)=6xe^x at the point (a,f(a)) for a =3 ...

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Q: f) =e find the equation for the tangent line to f(x) at =0 For the toolbar, press ALT+F10 (PC) or AL...

A: To find the tangent to the following curve

Q: 6 - Зх *b. f(x) = 5+ 6x

A: Accoriding to given "b" only solved :Given :f(x)=6-3x5+6x

Q: A function f has a removable discontinuity at x = c if limf(x) exists by f is not continuous at x = ...

A: Here, the given function is: f(x)=x-2|x|-2 So, function is not defined at x=2,-2

Q: Given P = R³S°T05 + R0.5 S sin(2T), what is P ƏR O 0.5R2 S T-0.5 + 2R0.5 S cos(2T) O 3R ST0.5 + 0.5R...

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Q: 15. Determine the general antiderivative of f(r) = %3D r4 + 10 a. In r – 10| +C b. 4ln |r* – 10| +C ...

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Q: Use the differencean+1 – an to show that the given sequence {a, } is strictly increasing or strictly...

A: Difference = an+1 - an= (n+1)9(n+1)-8 - n9n -8=(n+1) 9n+9-8-n9n-8=n+19n+1-n9n-8=(9n-8)(n+1)-n(9n+1)(...

Q: Given a function g(x, y) defined implicitly by the equation z*y* + sin (x² – y²) = tan-'(xz). (1) dz...

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Q: At their point of intersection, the 0 between any two nonparallel lines satisfies the relationship (...

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Q: Solution of ODE: Find the solution for the following ODE y' = 2y O y = ce2r O y = 2ce"

A: Topic - differential equation 

Q: 7. ex-4e-3 dx x- A 2 x + + С 2 + С et В х+2 е х + О D х - 2 е * + С

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Q: Sketch the region enclosed by y = 3x and y 5x2. Find the area of the region.

A: The region is enclosed by y=3x and y=5x2

Q: (a) Let p and q be statements. Use only ONE suitable method throughout to determine preciscly whethe...

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Q: Use any method to determine whether the series converges or diverges. Σ k° + 8 k=1 O The series dive...

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Q: H.W Let 71 = -2 + 1li, 22 = 2 - i. Showing the details of your work, find, in the form x + iy: %3D %...

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Q: 5. S de x In x

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Q: The total cost (in hundreds of dollars) to produce x units of a product is C(x) = 9x - 2 Find the av...

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Q: 29. What is the particular antiderivative of f(x) = 6x whose y-intercept is -4? x2 – 1 a. y = 4 ln |...

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Q: A. Determine the indicated derivative for each of the following functions. x3 cos y 1. Find fxzy for...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: 1 6. S dx (x+1)(x2+1) 2x+1 -dx 1. Jx+1)(x²+2) 8. S² х*+3х-1 dx x3-1 (x+1)dx 9. S x(x2+1) 6x2-17x+25 ...

A: Given

Q: (a) If U(x, y, z) = xy'z', find VU and VU. (b) If V(p, d, z) = sin d find VV and VV. (c) If W(r, 0, ...

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Q: Set up the definite integral required to find the area of the region between the graph of y = 12 – x...

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Q: 9. dx 1+ ex A - In le *|+ C C - In le x +1 + C %3 In leI+ C B D Inle x+11+ C x- O D O E None

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Q: Sketch the region enclosed by y = e3, y = e0*, and a = 1. Find the area of the region.

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Q: Determine whether a given function is homogenous or not homogenous: f(x,y) = tan^(2y/x)

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Q: 11-12: Simplify. 11. cscß(cosß + sinß) 1. 1+sinx 12. 1. 1-sinx

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Q: 8) A company's demand equation is x - V 2000 - p² , where p is the price in dollars. Find dp/dx when...

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Q: Find the area between the curves y 0.7x and y = 2.4x +1 from x = 0 to x = 4. = e Area =

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Q: A normal line to a curve passes through a point P on the curve perpendicular to the line tangent to ...

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Q: (x+1)dx 9. S x(x²+1)

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Q: (a) Find the Taylor series of Ax) = usinge (b) Using the Taylor series found in part (a) find the ap...

A: Question - 1 Given function fx=11-xa=12 The Taylor series of a function f(x) at x=a is given by fx=f...

Q: 10. S- 6x2-17х+25 -dx (х-1)(х-2)(*-3)

A: To solve:I=∫6x2-17x+25(x-1)(x-2)(x-3)dxNow,we need to first simplify the given expression,Let,6x2-17...

Q: Suppose the demand for a certain brand of a product is given by D(p) = + 250, where p is the price i...

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Q: 4. You will need to use L'Hopitals Rule in this one Sxe-* dx

A: This is a improper integral problem

Q: An insect is tracing an elliptical boundary of a hot plate. The ellipse equation is given by+ = 1. I...

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Q: 1. Given the function f(x, y) = x² /ÿ. (a) Find the local linear approximation of f at the point (3,...

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Q: Calculate the double integral of f(x, y) = x over the region D in the figure. Assume that a = 2, b =...

A: Given problem:-

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: Given:   The area between the curves 2y=4x, y=4, 2y+2x=6 is       A=∫abfx-gxdx Isolate for 2y=4x    ...

Q: 3x2 + 5x + 11 Evaluate / dr. (x+ 1)(x² + 2x + 10)

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Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 8t-15t me...

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Q: 1. Consider the finite region R bounded by the curves x 2y? +1 and the curve x = y² +2. (a) Sketch a...

A: Find your answer below 

Q: If E Uk and > vk are convergent series, then > (uk + vk) and (u – vk) are convergent series and the ...

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Q: Below is the graph of y=3^x Translate it to become the graph of y=3^x+4-2 provide the points and h...

A: Given: -  Below is the graph of y=3x Translate it to become the graph of y=3x+4-2 To translate: - P...

Q: Solve for the Taylor Series of the function, up to the fifth degree: y = cos x + 2 sinx a. for x, = ...

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Q: Calculate the integral approximation S12 for Si dz. 5+1

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Q: V lim x² – 9 X→3 x² – 4x + 3

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: 9 A company's revenue from selling x units of an item is given as R- 1000 x - x? dollars. If sales a...

A: Given problem:- A company's revenue from selling x units of an item is given as R = 1000x - x2 dolla...