The function 7) = x-21 at x-2 has X-2 a a removable discontinuity b. ajump discontinuity an infinite discontinuity d. else

Q: sec*(x) dx. Vtan(x) a) Vtan(x)[5 + sec²(x)] b) V sec(x)[5 + tan² (x)] c) V tan(x)[6 + tan? (x)] d)…

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Q: Let F(x)= ^4sqrt(x) A. Find the linearization of F(x) at x=16 B. Use your answer in part (a) to…

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Q: Any plane passing through (-2, 2, 2) is A(x+2) + B(y – 2)+C(z- 2) = 0 : It passes through (2, –2,…

A: Solution of 3 variables linear equation is solved by using cross multiplication method.

Q: Evaluate the following integral using trigonometric substitution. хах а. Vx2– x – 1

A: To evaluate the following integral using trigonometric substitution.∫x dxx2-x-1

Q: Solve the differential equation with appropriate method. Finalize answer equated to y. dy/dx = (-5x…

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Q: esin 2x [In (cos 2x)]?

A: Given: fx=esin2xlncos2x2   As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Chain rule:…

Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v= (4, 5) a = 3 b = 1

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Q: y = Vx, x = 0 , y = 2 , revolved at y axis

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Q: 6. Find the area under the curve f(x) = 4x + 2 over the int erval [1,5]

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Q: dx 6. S; ezx+1

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Q: In x 35. lim

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Q: Find the particular solution of the differential equation as determined by the initial condition. dB…

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Q: Find the inflection points of f(x)=2x^4+19x^3−15x^2+1 (Give your answers as a comma separated list,…

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Q: |. IF A FORCE OF 80 lb STRETCHES A 12t SHRink Ift. FIND THE woRk DONE IN STRETCHING IT a) PRom Izto…

A: work done = force*displacement here  a from 12ft to 15 ft  3 ft displacement  work done = 80*3 = 240…

Q: where's the answer?

A: Apologies for the inconvenience. The given limit is limx→99-xx-3. We have to evaluate it.

Q: Find the area bounded by these curves. (All choices are in sq. units) y = x 4x +y = 12

A: Here, the is a line passing through the origin. And,  4x+y2=12⇒4x=-y2+12⇒x=-14(y-0)2+3 which is a…

Q: Free-Falling Object In Exercises 37 and 38, use the position function s(t) = -4.9f + 250, which…

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Q: 10 cm 10 cm 10cm

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Q: 2. Let g(x) = evcos +, Approximate the value of g(0.2) using the second degree Maclaurin polynomial…

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Q: Find the tangent plane to the equation z = - 2a2 – 3y? + 5y at the point (– 4, 4, – 60) | Z = 16x…

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Q: The graph of the derivative F'(x) of a function is given below. Justify your answers to the…

A: a. Find all the critical numbers(x-coordinates) of F(x) Answer:- at the critical numbers f'(x) = 0…

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ – y³, P(10,…

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Q: Find f 6x dx? А. х2 + с В. 2х2 + с c. +c D. Зx2 + C

A: This is a problem of indefinite integral. Based on the general formula we will answer the question.

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction I|v|| =…

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Q: M3.3 Trigonometric Substitution s dy 9-y 5.

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Q: x+2 lim sin - x+6x+8 3 2.

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Q: Please

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Q: Evaluate the indefinite integral. x° (x® + 1)1/2 dæ Integral = INOTE: Remember to enter all…

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Q: A firm's marginal profit, P, as a function of its total cost, C, is given by the equation below. a)…

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Q: A water pipe having a 2.88 cm inside diameter carries water into the basement of a house at a speed…

A: Here, the given radius of the first end is r1=2.882=1.44 cm Now, the speed at the first end is…

Q: Show that for x 2 1, cosh (cosh° 3x – sinh° 3x) = In(x+Vx² -1). (b)

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Q: 30 507 13.

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

A: Find an equation of the plane with the given characteristics.   The plane passes through the point…

Q: Finding Vertical Asymptotes In Exercises 63–68, find any vertical asymptotes of the graph of the…

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Q: Consider the following. u = -6i - 4j - 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find…

A: Projection

Q: 5. Evaluate: (а) ( 5х*-х-4) dx (Б) Г(2х+4)(3х +6)dx

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Q: 11) The Inverse of ()= *-1* a)(x) 3x-1 b)/(x) log2(x) d)f(x)= log3(Vx+1) e) non

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Q: 6 Use a trigonometric identity to find cos (x - - ) if sin (x) = (Express numbers in exact form. Use…

A: Use trigonometric identity

Q: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z2 = 14, (1,…

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Q: Given .5 8 | f(=)dz = /f(2)dz + f(2)da – | f(a)da, -6 6 what are the limits of integration a and b?…

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Q: Yes,  you did not say what a is and what b is. Their values

A: Apologies for the inconvenience.   To find a and b we set the equations equal to each other and…

Q: х3 — 4х? 8(7x – 4) (x + 2)* x(х + 8)(х — 2) | Given: f (x) : with f'(x) ,аnd f" (x) - %3D (x + 2)2…

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Q: The value of the integral 1 2 x²y° dy dx is: 2..3 1

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Q: EVALUATION Directions: Find the derivative of the following functions. Choose the best answer from…

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Q: State whether the following numbers are rational or irrational. a) V4+7/2 b) V36 c) V112510716

A: Given: a)4+72b)236c)112510716

Q: Given the function f(x) = – 3z² f(r + h) – f(x) h Find the difference quotient Find f'(x) by…

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Q: Consider the three points R coordinates [0,1,0. [-1,0,-2). and [-2,2, –3] . Which equation of the…

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Q: 1. у %3D х+/x

A: Topic = Derivative As per guidelines , At  a time only one question can be answered out of different…

Q: A 324 g sample of a mercury isotope has a half-life of 2 years. After 7 years, how much of the…

A: Initial Amount A(0)=324 g half life  t12=2 years