Using the partial fractions technique, the function fx)= 22x+58 can be written as a sum of partial fractions 2+2r-80 22x+58 2+2x-80 Therefore, the integral of the function x) is

Q: x? + y? = = 169 (a) Find dy/dt, given x = 5, y = 12, and dx/dt = 7. dy/dt = (b) Find dx/dt, given x ...

A: We will find the derivatives and value at a point. 

Q: Consider the parallelepiped with adjacent edges u = 5i + 8j + k v = i+j+ 9k w = i+ 3j + 5k Find the ...

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Q: A=TTr Vr? th2. The radiu ight circular cone rand height h à gilen b A=TrVr? th? is in creasing at Th...

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Q: Suppose that a particle moves along a straight line with acceleration a(t) = 5 – 2t , where 0 <t < 2...

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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: C. Discuss the continuity of the following functions at/on the given point/interval. 4x 1. (6 points...

A: Continuous 

Q: 4x (log3 x)° (csc5 x) Vsinh(2x – 8) b. y= -

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Q: DO NOT include spaces in between characters. Compute g'(2) if g(x)=10**-2*. 16 Your answer

A: The objective is to compute g'(2).

Q: A series is the sum of the terms of a sequence. To indicate the sum, we use sigma E notation. Write ...

A: Solution:Given geometrical series1+3+9+27+81+ ......1+3+32+33+34+.....∑3nn=0∞

Q: Find the indefinite integral and check the result by differentiating. x+4 dx

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Q: lim 4 sin(x + n) + 3

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Q: Select the basic integration formula you can use to find the indefinite integral. 6. dt du Va? - u? ...

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Q: - Trig Sub 1 dx V9 – x²

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Q: Find the length of the tangent to a circle from point of tangency to point (8,2) . The circle is def...

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Q: DO NOT include spaces in between characters. * Find f' (-;) if f(x)= 3. Your answer

A: The objective is to find the derivative  of f at (-2/3).

Q: Let f(r) = V7 2. Compute f'(3) using the limit definition %3D f'(3) 3D Find an equation of the tange...

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Q: Select ALL possible answers if there is more than one. 1 if x<- 16 2. If f(x) is continuous at x =: ...

A: Differentiable

Q: xy = 4, y = x,y = 1; about the x-axis.

A: Find your answer below 

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

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Q: x2 3 |5 – x + C а. 5 – x3 - cos t dt 1 + sin t In 1+ sin(t)|+C b.

A: integration

Q: Find the equation of the tangent line to the curve y = x + 5x^2 - 3 which is passing thru point (1,3...

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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: Select ALL possible answers if there is more than one. * ifr<! 16 1 Let f(x)= 3 . If f(x) is continu...

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Q: Calculate the integration from the following figure y 2 y=x-4 A

A: To evaluate the integral for the region shown  

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

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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: 1. It is the process of finding the set of all functions whose derivative is known. B. antiderivatio...

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Q: S(6w +12w) Vw + w° dw

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Q: The equation r(t) = (3t + 9) i + V5t) j+ (2t) k is the position of a particle in space at time t. Fi...

A: This is a combination of vector and application of derivative problem

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: cos v2x be a solution of the differential equation y" + ay'+ by = 0, where a and b are constants. Fi...

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Q: х+3if x1 6. lim x→1 f(x) f(x)

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Q: Find the volume enclosed by the torusp = 4 sin().-

A: The volume is given by: V=∫∫∫dv In spherical co-ordinate dV=ρ2sin φ dρ dφ dθ

Q: Find d'y /dx? Y = xtan (-)

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Q: Evaluate the double integral. (2x + y) dA, D = {(x, y) | 1 s y s 2, y – 1sx s 1} 328 3.

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Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

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Q: X - 5 dx -2x + 2

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Q: What is the reference angle? degrees. In what quadrant is this angle? (answer 1, 2, 3, or 4) sin(150...

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Q: using implicit differentiation. dx Find sec (xy?) = (cosh x)(tanh z+v9) + 2 csc-1 (tan(y+ 1))

A: To find the derivative

Q: 10 Find the average value of the function ƒ (x) = from x = 7 to x = 9. Write X-5 %3D your answer as ...

A: Given function f(x)=10x-5    ,   x=7 to x=9

Q: A. Directions: Find the limit of the following rational functions: X-1 1. lim x1Vx² + 3 sec x 2. lim...

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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: Activity 3! Ve the following problems. 1. A city is of a circular shape. The area of the city is gro...

A: 1.Area of circular city;A=π r2differentiating w.r.t. r;dAdt=2πr drdtdAdt=2  mi2yearat r=15 mi2=2π(15...

Q: Find the vector component of v = (4, – 1,7) along b = (4, 8, –8) and the vector component of v ortho...

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Q: + 2y = 7x +4; y(0) = 3, y'(0) is y(x) =. %3D

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Q: Find the area of the triangle with vertices P(1,4, –2), Q(0,0,0) and R(4,5, 1). NOTE: Enter the exac...

A: Given P1,4,-2, Q0,0,0 &amp; R4,5,1 To find Area of triangle PQR

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

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Q: The curve with equation y? = x³ + 12x? is called a Tschirnhausen cubic. Find the equation of the tan...

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Q: Velocity If a stone is thrown down at 100 ft/s from a height of 1,400 feet, its height after t sec...

A: A stone is thrown down at 100 ft/s from a height of 1,400 feet, its height after t seconds is given ...

Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

A: We will find the rate of change of the future value.