continuity

Q: For the following exercises, find all points on the curve that have the given slope. 71 x= 4 cos t, ...

A: Given query is to find the points where slope is 0.5.

Q: y = e2x, y = e*, and x = 2

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Q: Evaluate the double integral. y dA, x2 + 1 D = {(x, y) | 0 s x5 8, 0 s ys V} 29727

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Q: Select ALL possible answers if there is more than one. * Below shows the graphs of the slopes of the...

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Q: O Evalunte

A: We will evaluate the double integral. 

Q: 4. Find the volume of the solid obtained by rotating the region bounded by y = e", y = 0, x = -1, x ...

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Q: In Exercises 19-24, find the absolute maximum and minimum of the function subject to the given const...

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Q: Given g(x) ニ X-1

A: We know that, g'(x)=limh→0g(x+h)-g(x)hHere g(x)=1x-1Therefore g(x+h)=1x+h-1Thereforeg'(x)=limh→01x+h...

Q: (2x2- 8х + 7 | 9x2 + 5x – 3' -4x3+6x2 – 15 Suppose f (x) x > 0 x – 6x3 Evaluate as lim f(x) X00

A: Let's find. 

Q: Find the particular solution that satisfies the differential equation and the initial condition. f'(...

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Q: The sequence that begins , -2, , -5, , .. -13 could be . an alternating sequence. a harmonic sequenc...

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Q: Find the maximum and minimum values of f(x,y)=xy on the ellipse  4x^2+y^2=6

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Q: help

A: We will find the time interval when particle is moving to the right. 

Q: y = 4 – x2 from x = -3 to x = 3.

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Q: Find the indefinite integral. (Use C for the constant of integration.) (4 cos x + 3 sin x) dx

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Q: A sequence is a list of numbers written in a definite order: a1, a2, a3, A4, called the •, An, An, ....

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Q: Solve the problem in simplest form and complete solution. Find u and du if possible. coss 2x dx | si...

A: Given: I=∫cos52xsin22xdx  ...1   We know that; The Power rule: ∫xndx=∫xn+1n+1+C ; n≠-1  

Q: If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person'...

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Q: DO NOT include the variable in your answer. * Given the graph of f'(x) below, what is the slope of t...

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Q: Write the expression as the sine, cosine, or tangent of an angle. 3 COS sin)sin() COS - 7

A: Note that: cos x cos y-sin x sin y=cos (x+y)

Q: - Trig Sub 1 dx V9 – x²

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Q: Find an equation of the tangent line to the hyperbola defined by x² – xy – 3 – x = -22 at the point ...

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Q: A Given yesin (ITX2)= InGe) XyZ of Find Zx and Zy.

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Q: Find a particular solution y, of the differential equation: 2y" + 4y' + 7y = x2

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Q: For each of the following y, find the d^2y/dx^2

A: We know, d/dx (xn)= nxn-1, for any real number n. d/dx(u(x)v(x))= v(x)*d/dx(u(x))+u(x)*d/dx(v(x))

Q: y = 100(1 – e-0.451t). (a) What function gives the instantaneous rate of change of the concentration...

A: Given query is to find the rate of chnage for the function.

Q: Use Ay f'(x)Ax to find a decimal approximation of the radical expression. 7.7 What is the value foun...

A: NOTE: Refresh your page if you can't see any equations. . here we have a cube root function so we w...

Q: Find the critical points of the function f(x,y)=x^2+y^2+6x−10y+1

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Q: Consider the following. f(x) = 3x – 6 cos(x), -2 sxs0 Use technology to estimate the absolute maximu...

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Q: 8. The graph of the function y=-x(x- 1)(x+2) begins in quadrant 9. The graph of the function y =x(x-...

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Q: Describe all numbers e that are at a distance of from the number 7. Express this using absolute valu...

A: We know that the distance d between two numbers a and b equal the absolute value of their difference...

Q: Find the equation of the tangent line at the given point 1 ·y =- X - 3 ; (0, -३) 3*

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Q: Find the equation of the tangent plane to the graph of 5y f(x, y) at the point (4, -7). (Use symboli...

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Q: Use Theorem 7.1.1 to find £{f(t)}. (Write your answer as a function of s.) f(t) = sinh kt L{f(t)} %3...

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Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and b is Round your answers to fou...

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Q: A sphere has a volume of 36 cubic meters. The rate of change in volume is 9 cubic meters per minut...

A: Let's find. 

Q: Evaluate the limits analytically sin rte –1 A. lim,-→0 I COS I

A: Find your answer below 

Q: Find the x-values for all points where f(x) = x4 - 50x? - 5 has a relative extrema.

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Q: 3.4 +3.198

A: Consider   

Q: S 30x° e -x 10 dx 30х е 8. 8-

A: Let x10= t  Derivating both sides  10x9dx= dt  

Q: sin100

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Q: Select the basic integration formula you can use to find the indefinite integral. dt du 이 du a" du d...

A: We have to select integration formula for given integration.

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D v (0, 24) %3D a = %3...

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Q: The area which is inside the circle r = 8 cos 0 and outside the circle r = 2 cos 0. %3D

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Q: Let f(x)= (2x-3)/(x-3). Find the interval(s) where f(x) is concave up, and the interval(s) where f(x...

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A: topic- equation of plane

Q: Consider the following function. (x) = x5 + 4x³) Find f'(x). f'(x) = Does f have an inverse function...

A: Given that f(x) = 1/8 (x5 +4x3)

Q: Find a general solution of y" (-2-2 i3)y. y(x) =

A: The given differential equation is  y'' = (- 2 - 2i√3)y or, y'' - (- 2 - 2i√3) = 0 or, (D2 + 2 + 2i√...

Q: Find the indefinite integral and check the result by differentiating.

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Q: A particle moves on a straight line with velocity function v(t) = sin ot cos' at. Find the position ...

A: integration