Find the following limits i 1. 8x lim x>+* 5x – 7

Q: Find the limit of the function along the x-axis xy lim (x.y)-(0,0) x2 + y?

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Q: The figure is the graph of the derivative, f', of a function f on [-4, 2]. Determine the intervals o...

A: Topic:- calculus and application of derivatives

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Q: The integral represents the volume of a solid. Describe the solid. sin(x) dx O The integral describe...

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Q: Find what value of c does L dx = 1 ? x4 Answer:

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Q: 19. Differentiate the following functions. a) y = (3t2 + 2)(3t² – 2t + 1) 12-4t+4 t2-5t+6 b) s=

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Q: Eliminate ARBITRATY CONSTANTS y = a²t² ; x =b + at

A: Given:To Eliminate ARBITRATY CONSTANTS y = a²t² ; x =b + atSince  we know that, number of independen...

Q: If z = eax+by az then a az is ay

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 8 ka > 2sin 2 ...

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Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3 ...

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Q: Find the critical points c that correspond to local minima. (Use symbolic notation and fractions whe...

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Q: How much work is done lifting a 10 pound object from the ground to the top of a 30 foot building if ...

A: Here, elementary work is: dw=(2.5y+10)dy

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Q: Solve the following equation for x. log(4x+170) = 2

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Q: 3. Given r(t) = e' sin t i + et cos tj + v2e'k, a) find the arc length function for the curve measur...

A: We have to find arc length function, point and re-parametric equation. 

Q: Sketch the region enclosed by the given curves. 1 у %3 2/х, у 3 8х, у %3D —х, 2 x > 0 y 5 4

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Q: The function f is shown below. What is the value of | f(x) dx? Write your -4 answer in simplest form...

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Q: 25. Evaluate the following definite integral 10 a) S" V5x – 1 dx b) Sz sin 2x dx

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Q: 2. Complete the given 2 sets of tables of values to investigate the limits of a function. lim f(x) i...

A: To complete the given 2 sets of tables of values to investigate the limits of a function. limx→3 fx ...

Q: First make a substitution and then use integration by parts to evaluate the integral 6 cos (Vx) dx.

A: In this question we have to solve the integration.

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Determine the global extreme values of the function f(r, y) = 4x³ + 4x²y + 2y², x,y > 0, x + y < 1

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Q: A rectangular parallelepiped with an altitude of 10cm has its width decreasing by 2 cm/min and lengt...

A: A rectangular parallelepiped with an altitude of 10cm has its width decreasing by 2 cm/min and lengt...

Q: II a.5 cos? =D5

A: You asked multiple questions but as per guideline I can do only one question. Please repost the othe...

Q: Enclosing the Largest Area The owner of the Rancho Grande has 2,956 yd of fencing with which to encl...

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Q: 27 The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) ...

A: Given query is to find the height of the ball when it's fall with the rate of 120 ft/sec.

Q: x2 dx J V4x – x²

A: Given:       ∫x24x-x2dx    =∫x24-x-22dx  substitute u=x-2→dudx=1→dx=du                    use x2=u+2...

Q: 2. Let a > 0. Find formulas for the following indefinite integrals (these are not all inverse-trig i...

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines...

Q: Growth of Managed Srvices Almost half of companies let other firms manage some of their Web operatio...

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Q: х+1 dx 3 2 2 25 - x

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Q: First make a substitution and then use integration by parts to evaluate the integral 9x³e*´ dx Note:...

A: A detailed solution is given below 

Q: 1. (a) State the Intermediate Value Theorem (IVT). (b) Show that the equation r+3r +1 0 has at least...

A: Let f be a polynomial function. The IVT states that if f(a) and f(b) have opposite signs then there ...

Q: х+1 3. J 25 – x²)3/2

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Q: 3. Consider the function f (x) = x³ +5. Find a formula for the inverse function. Show clear, organiz...

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Q: 28. Sketch the graph of 2x + 4y + 3z 12.

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Q: Q// Sketch the region of integration and evaluate the integral 4-y xe2y -dxdy 4- y .4 0.

A: Find your answer below 

Q: 19. Differentiate the following functions. c) y = Vx ++ Vã sec (x³+1) cos ya d) y =

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Q: Given the function f(x) = x* – 24x², determine all intervals on which f is both decreasing and conca...

A: In this question we have to determine all intervals on which f is both decreasing and concave down.

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the cu...

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Q: A. (1+ 4xy – 4x² y) dx + (x² – æ³) dy = 0 | - B. (y – sin? x) da + sin æ dy = 0

A: A detailed solution is given below 

Q: why we useltn@) inATOA tor) (sec 1 tan 0 sin 0 cos 0 A(1, 0) Pr FIGURE 2.30 The figure for the proof...

A: We know that  Tan(x) =sin(x)/cos(x)        

Q: 4.Sin3x-sinx CoS X S Sinx(Sin?x-)) Sini(sinni1). Sin ?x. tanx (sin zx -1) $in=t1 COS tan-o

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Q: Question 3 The exponential distribution is a probability distribution that describes the time needed...

A: Given: p(x)=Ce-x11x≥00x&lt;0To find the value of constant  C:

Q: A company produces computers. The demand equation for this computer is given by p(g) = - 5q + 6000. ...

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Q: Please integrate  ∫ ex / (9+e2x)3/2 dx

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Q: 4. Find the arc length of ř (t)= <ť, 9t,4E"/, m/N

A: We know that, The expression for the arc length of the vector-valued curve is: L=∫abx't2+y't2+z't2dt...

Q: The wave heights h in the open sea depend on the speed v of the wind and the length of time t that t...

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Q: 16 d.x x² Va2 + 49 Evaluate the integral: (A) Which trig substitution is correct for this integral? ...

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Q: x In(x) dx, where x >0

A: Given query is to eveluate the integral.