Integral of | 4sinxcos cos |dx 1. J sin 9x cos4x dx J cos 2x cos (-x)dx 2. 3.

Q: dy = ay + b whose dt Write down a differential equation of the form solutions all approach y 3 as t ...

A: Given,dydt= ay+bdyay+b = dtLet  ay+b=zdifferentiating both sides       a dy = dzSo,dzaz=dt1a. dzz=dt...

Q: 3. Verify the following trigonometric expression. 1 1 = 2 sec2 x %3D 1-sinx 1+ sinx

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Q: What is the amplitude and period of the function shown below? 7. 6- 5. 4- 3- 2- 1, 4 6 -1- -2- -3 -4...

A: The amplitude of a function is the amount by which the graph of the function travels above and below...

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

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

A: We have t find the number of units that needs to be produced for making the marginal revenue zero.

Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a. ...

A: h(x)=fgx and px=gfx

Q: Determine the maximum and minimum points of the given functions below. f(x) = 3x4 – 16x3 + 24x2

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Q: Determine the maximum and minimum points of the given functions below. g(x)=x6−2x5+8x4

A: Here we have to find the maximum and minimum points of a given function g(x), we have use first and ...

Q: Write out the first four terms of the Maclaurin series of f if f(0) = 2, f'(0) = 4, f"(0) = 4, f"(0)...

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Q: Use the indicated substitution to evaluate the integral. -3 cos x sin (sin x) dx , u= sin x 3 sin (s...

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Q: In the 2000 U.S. Census, a small city had a population of 55,000. By 2010, the population had reache...

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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

Q: 5. Find the Curvature of ř (t) = L", Int,tInt) at the point (1,0.0)

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Q: QUESTION 4 Differentiate a) e8xcosx b) lnx sinx

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Q: B. A discrete random variable X has the lollowing probability distribution: 1 1 2 P(X) y 9. 9. 1. Fi...

A: use the basic  property of probability 

Q: For f(x, y) = 2x3 + x²y2 - 5y3 + 10,

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Q: (d) dx a + x (e) 1 da J (a + x)2

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Q: 5. y = Je' dt %3D

A: Solution: 5. y=∫0x2et3dt

Q: Question 2 Use the table below to evaluate the derivatives below. xf(x) f′(x) g(x) g′(x) h(x) h′(x) ...

A: According to the guidelines issued by the company we are supposed to solve only first three subparts...

Q: Question 2 We consider compound interest with a nominal annual rate r compounded n times per year. T...

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Q: 4 x 5 y = a -3 x 4 y %3D - y =

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Q: Evaluate the integral dx et – e-x

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Q: about the y-axis

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Q: You have a wire of length 2 m, which you can bend either into a square or a circle. You also have th...

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Q: Use the trapezoidal rule withn = 5 to approximate %3D 5 cos(x) dx Keep at least 2 decimal places acc...

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Q: y = (g(x)) u = g(x) y = f(u) y = (3x - 9)3 y = Help? Read It

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Q: Consider the function f(x) = x* – 72x² + 10, – 5 < r < 13. %3D The absolute maximum of f(x) (on the ...

A: topic - functions and application of derivatives

Q: According to one model that takes into account air resistance, the acceleration a(t) in m/s of a sky...

A: This question can be solved by substituting the given values in the equation of acceleration.

Q: For f(x, y) = 2x3 + x²y? – 5ya + 10, Find fgi Find fax: Find fxy

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Q: 1. Consider a 100L tank containing 50L of salt water with a concentration of 1kg/L. Suppose that eac...

A: We have to find ivp. 

Q: The pair of parametric equations represents a line, parabola, circle, ellipse, or hyperbola. Name th...

A: The parametric equations are given as , x=2cos8t , y=2sin8t Name the type of curve that the pair of ...

Q: Question 3: Suppose that H = xy + V3x2 + 4y?, and at t = 0 (initiation) we have r = 1, y = 1, H = 6,...

A: Let's find. 

Q: Find dx | cos (P) dt y = dx I3D

A: NOTE: Refresh your page if you can't see any equations. . use the integration rule 

Q: Find the limit of the function along the path y = 2x X-1 lim (x.y)-(0,0) y -1

A: We have to find the limit of the function along the path

Q: A triangle having an area of 22.62 cm2 is inscribed in a circle whose radius is 6 cm. If one of the ...

A: Given query is to find perimeter of the triangle.

Q: 23. Find the point c that satisfies the mean value theorem for integrals on the interval [1,4] for f...

A: The given function is: f(X)=2x2-7x, [1,4]

Q: The integral -8 sin(x) cos(x) dx can be evaluated in four different ways: (1) The substitution u = c...

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Q: If f(x,y) = e* cos y then fyy (0,) is fyy (0) is

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Q: Correct Suppose that y varies directly as the square root fx, and that y = 42 when x = 400. What is ...

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Q: 2. y = log, 3x(x – 4) 3. y = x + 3 In x 4. y = x2 In x

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Q: Question 5 In 1999, the population of Richmond-Petersburg, Virginia, metropolitan area, was 961,400 ...

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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: Find the derivative of the function. f(x) = 8(x3 - x)4

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Q: Find the numerical value of a) sinh Cen 4) b) sinh (1

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Q: a. Calculate the value of the slope of Y = - 2 X4 + x -3- 2X -2 + 5 at X = -2

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: The point P (2,3) lies on the ellipse 8a² + 2y² = c. Determine the value of c and write the point-sl...

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Q: Write a chain rule formula for the following derivative. for w = f(p, q, r); p = g(t), q = h(t), r =...

A: Here, w=f(p,q,r), p=g(t), q=h(t) &amp; r=k(t) So, 

Q: Find the volume of the solid obtained by rotating the region bounded by y = 6x, x = 1, and y 0, abou...

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Q: Use the difference an+1 - an to show that the sequence | {n – 9"}+x Sn=1 is strictly increasing or s...

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Q: Find all points (x.y), where f(x.y) has a possible relative maximum or minimum. Then use the second-...

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