Integrals Involving Roots Evaluate each of the following integrals. 1. 2+Vx-4 xp-

Q: Find the equation of the tangent to the graph at the indicated point. f(x) = x2 – 5x; a = -2 y =

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Q: How-2 Find Zxx if Z =frusv),u = xy,V=2xy Ex PresF とhe anfwer in termo ofXッリZu, Zv

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Q: he points A(1,-2,4) and B(2,-4,1) cach make direction vectors with the point (Xo.Yo, Zo). The point ...

A: The Parametric equations of the line are the components of the vector equation , and have the form  ...

Q: Express the integral in terms of the variable u, but do not evaluate it. eS-4 dz; u = 5z – 4 NOTE: E...

A: ∫01 e5x-4dx  here change the variable x to u u = 5x -4 du/dx = 5 dx =du/5 limit is change from  if x...

Q: 2. S 2x5 Vx – 2 dx

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Q: Find f'(x) if eſ(x) = 1 + x². f'(x) = 2x(1 + x2) f'(x) = 2x(e1+**) Option 1 Option 3 2x f'(x) = 1+x2...

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Q: 5. Suppuze that.the..are..a.regian.is 2 SinG 3T/4 rdrd@..sketch. the.vego.and. T/4 find the.al.RMa.

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Q: Find the area of the region enclosed by the graphs of 1 1 1 – 16æ²' Y = 0, x = 0, and æ NOTE: Enter ...

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Q: Determine the interval(s) on which f(x)=square root(x/x-4) is continuous.

A: Given query is to find the interval where function is continuous.

Q: At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 24 knots and ship...

A: Question- At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 24 knot...

Q: 2. | 1

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Q: Find the derivative of the function. 6z 12 - 5 u² – u?+5du g(r) = 32

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Q: Cami plays softball. The table to the right shows the frequency of the number of hits she has per ga...

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Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of th...

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Q: Suppose a function z=f(x,y) has critical points at (-1,2) and (0,3). Furthermore, suppose at each cr...

A: Let's find. 

Q: 4. Find . d?y of the functions x = 1+ cost and y = 1– sin t. dx2

A: Differentiating given parametric equationswith respect to t,x=1+costdxdt=-sint ...(1)y=1-sintdydt=-c...

Q: Find ſ z2 sin z dz

A: We can find the integral in the following steps

Q: Identify and sketch the surface of each of the following 4 equations. Label the intercepts and trace...

A: Identify and sketch the surface of the equation25x2-100y2+16z2=-400

Q: -In 2 e* dx 3 (e2x + 8e*+ 7)2

A:      ∫0ln2exe2x+8ex+732dxLet u=ex.=∫121u2+8u+732du=∫121u+42-932duLet v=u+4.=∫561v2-932dv=∫\arcsec53π...

Q: Differentiate implicitly to find 3xy +4y°z-2x = 3

A: Given query is to find the derivative.

Q: dx 4+ x² Use integration by parts. let u = x? dx 4+ x2 dv =

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Q: Do not write beyond this border. 3. 2. 1. Do not write beyond this border. ecessiv 3. 3 3. NO CALCUL...

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Q: 3. Evalnate. the. fallowing.denble.integrals..by.convecking.bo. Can polar.Caa.r.dinates. ... 2 2 I-x...

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Q: S tan bxsec³bxdx

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Q: Given the function s(1) = 8

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Q: 3. 2- 1- ol 1 4 Let R be the region bounded by the graph of y = Va – 1, the horizontal line y = 2, a...

A: As shown taking the horizontal stripe x changes from 1 to y2+1 because  y=x-1⇒y2=x-1⇒x=y2+1

Q: Derivative of f(x)= 4x/5x^2-1

A: We can find the derivative as below.

Q: 8. What is dx (x2+8)3

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Q: f (x) If lim f(x) = 12, and lim g(x) = 3, what is lim Xc Vg(x) А. 1 В. 2 С.4 D. undefined The Limit ...

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Q: 11. Obtain the Mx and My of the area generated y = 2x +1, x + y =7 and x= 8

A: Intersection points:x+y=7, y=2x+1y=7-x, y=2x+17-x=2x+13x=6x=2 → y=5Intersection point (2, 5)Line x=8...

Q: Original Integral Rewrite Integrate Simplify 9 dx dx 9 + C (4x)5 1024 1024

A: Topic = Integration

Q: Let a = ci + jand b = 8i + 15j. Find c so that the angle between a and b is. Round your answers to f...

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Q: Translation scheme and with left-recursion infix-to-postfix translator?

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Q: For a week, a clothing company tracks the amounts spent by its customers, with the results shown to ...

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Q: Jestion 1, Container with the volume of 750cm' . Determine the dimensions of optimal shape for each ...

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Q: Write a definite integral that yields the area of the region. (Do not evaluate the integral.) f(x) =...

A: This can be solved as follows:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

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Q: 2. Determine f'(-1) for the function f(æ) = (x" – 2r° + 1)(x³ + æ -- 2). 8 (B) 12 (C) 14 (D) -4 (E) ...

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Q: 12 TT CoS + i sin + i sin 6.

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

Q: x²+5x-8 Evaluate f

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Q: How-3 Find Zxx if Z=fcusvd uz x?y,V=2xy Exfress the answer interms of Xy, Zu, Zv

A: Implicit Differentiation: If z=f(u,v) , u=g(x,y) and v=h(x,y) then, ∂z∂x=∂z∂u∂u∂x+∂z∂v∂v∂xand ∂z∂y=∂...

Q: (x + y? + 1) dx + x(x– 2y) dy = 0

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /...

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Q: Vx2 – 64 if x 8

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Q: 2.

A: ∫x2ex dxBy integration by parts

Q: Instruction: Answer the following. Show all your solutions. For items 1 and 2: Given f(x)dx = 4; f(x...

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Q: Look for the volume of the solid produced by rotating the region enclosed by about x? - 2kx – 4ky + ...

A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line x=...

Q: 3 2 1+ X 1 Let R be the region in the first quadrant enclosed by the graphs of y = 10e- sin x and th...

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Q: 3. If f(x) = cos(x), determine f(125) (-T). V2 (B) 2 (A) 0 (С) 1 (D) –1 1 (E)

A: we will use nth derivative formula of cosx .

Q: Given the function f(1) = 12 Use the Laplace Transform table to convert this function into F(s).

A: Given :- f(t) =t2  To find:- Laplace Transformation of given function