{(-1)"nl° Зп — 1 {an}=1 00 n=1 8

Q: x -4 ifx<2 Determine f(2) if f(x)= {2-x if 2 <x<4. x-2 if 4 <x

A: Given,           fx=x2-4if x≤22-xif 2&lt;x≤4x-2if 4&lt;xTo find : Determine f'+2.

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where approp...

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Q: 8. 15 Use the figure above to find the exact value of sin 20, cos 20, tan 20. sin 20= cos 20= tan 20...

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Q: Prove that the length of common chord of the two circles x + y² + 22x + c = (2² -c)(µ² +c) 2² + µ? O...

A: We will prove that the length of the common chord is the given term as following.

Q: Evaluate the definite integral. Use a graphing utility to verify your result. (x³ + 1)² dx

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: Vx2+5x-6 lim X-4 16-x2

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Q: 1 dx (25 – x2)3/2 - Show My Work (Required) ?

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Q: dx T² + 4 2

A: We have to find value of indefinite Integration.

Q: CSC r+ sec x Express in terms of sine and cosine. cot x + tanr

A: We know that  cscx=1sinx  , secx=1cosx  , cotx=cosxsinx  and tanx=sinxcosxSubsituting in cscx+secxco...

Q: The rectangular coordinates of a point are given. Plot the point. (-3V2, -3V2) y y 6 4 4 2 2 -6 -4 -...

A: Option 4

Q: y? = 8x, y = 2x; about y = 4.

A: Given that y2=8x,y=2x about y=4 . Here we have to find the volume of the solid generated by revolvin...

Q: 3. For what value of x will the slope of the tangent to f(x) = 3*e* +5x +17 be equal to 5?

A: We can solve the given question as follows:

Q: Jo 17. cos² x sin? x dx

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Q: Consider the points A(1, -1, 2), B(2, –3,0), C(-1,-2,0), and D(2,1, –1). (a) Find the volume of the ...

A: Here, the given vectors are: A(1,-1,2), B(2,-3,0), C(-1,-2,0) &amp; D(2,1,-1) (a) Here, AB=(2,-3,0)-...

Q: DO NOT include spaces in between characters. * s² – a² Find the value of r' at s = 2a if r(s) = %3D ...

A: We have to find the value of r' at s=2a.

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

A: The slope of the tangent line represent the derivative of the function.

Q: 3t² Determine f'(2) if f(t)=log10 2t – 1

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Q: Q3 : Evaluate the following integral. X4V9-x2

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Q: Find the volume of the solid obtained by rotating the region bounded by the curve and the x-axis on...

A: Given

Q: 1 Find an equation of the line tangent to y at point (0, -). X-3

A: Given y=1x-3 at point 0,-13 To find equation of line tangent:

Q: - Evaluate the following integral. |e2* cos3x dx

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: To find the units such that there is maximum profit for production level.

Q: Prove that lim (4x2 – 25) = -9 x-2

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Q: Find the area of the triangle with vertices P(1,3,–4), Q(0, 0,0) and

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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: tan'y - ycosx = sin? x + find y',y" If

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Q: 14. Determine the "limit of 5 as x approaches to 2". a. 4 b. 3 c. 2 d. 1

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Q: V -/1+/x - 1 1+/x +1 · IVx tan 2 tan dx 1+/x +1+//1+/x -1 -1

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Q: C. Given: ΔΤΑΝ-ΔΤKJ 1. If TJ = 8cm, AN = 10cm and TA = 12cm. Find TN and KJ 2. TN = 5x -7cm, TJ = x ...

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Q: 1. Find dy/dx if cos 4y+ysin x =3 2. Use implicit differentiation to find the slope of the tangent l...

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Q: Jun has decided to save money roughly P25 per week. Suppose he makes weekly deposits of this money i...

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Q: Determine if the series (–1)³n 1 n=1 converges or diverges.

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (6...

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Q: x2sinx Find dy /dx %3D (1+x2)2V1+x

A: Given: y=x2sinx1+x221+x   We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x The...

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

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Q: A waste management company is designing a rectangular construction dumpster that will be twice as lo...

A: Explanation of the answer is as follows

Q: 2 NOT: L..

A: We have to find the value of x such that f(x)bis continuous but not differentiable

Q: x5 dx (36x2 + 1)7

A: Let I = ∫x536x2+132dx Take x2 = t⇒2dx = dt ⇒I = 12∫t236t+132dt

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 10 [(3-4w)(4w - 6w+7)" dw.

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Q: Find the vector component of v = (4, –1, 7) along b = (6, 6, –7) and the vector component of v ortho...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Find the area of the region bounded by the given curves. y = 9x In(x), y = 36 In(x) %3D

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Q: Find all values of x and y such that f(x, y) = 0 and f(x, y) = 0 simultaneously. f(x, y) = x² + 4xy ...

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Q: 9. Given the functions /(x) = 2x + 5 and g(x) = x? – 4, find (4) x. b. C. d. 2x-5

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

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

A: Given that a=ci+j and b=3i+4jand angle between these vector isπ6Solution:

Q: 2+ x, x lim g(x) c. g(2) < lim g(x) d. g(2) # lim g(x) X-2 X-2 X-2 X-2

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Q: B. dx (9-22)²

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Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(r) = 4x + 7...

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