What integration technique can be used to integrate: sec3 xdx Integration Formulas O Trigonometric Substitution O Power Formula O Integration By Parts

Q: If f(x)=5x2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x)g(x)=f−1(x) at the point (5,...

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Q: 1. When is separation of variables applicable?

A: (1). . When is separation of variables applicable?

Q: Let W = F(x , y , z) be a function such that Fx(0 , 0 , 0) = -1 , Fy(0 , 0 , O) = 3 , F2(0 ,0,0) = -...

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Q: Find the general solution to the differential equation. y' = eyx6 y =

A: Given :y'=eyx6

Q: Evaluate the following limits. 1. lim cos2x = %3D x X- 4

A: Given:    limx→π4cos2x

Q: 3. The numerator of a fraction exceeds the denominator by 1. If 7 is added to the numerator and 2 to...

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Q: Wrat is the equation in standard form of ahyperbola whose asymptotes are y=- うオー and y= -x- and a ve...

A: Given: y=32x-92         asymptote 1 to hyperbola                                         1y=-32x -32...

Q: x³e3® dx. 3,3x dx.

A: solution:-∫x3e3xdxusing integration by parts∫uvdx=u∫vdx-∫u'∫vdxdx=x3∫e3xdx-∫ddxx3∫e3xdxdx=x3·e3x3-∫3...

Q: Find the maximum and the minimum values of f(x,y,z) = 2x - 7y+7z on the sphere x² +y2 +z? = 102. ......

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Q: Use sigma notation to write the Taylor series about x xo for the function. e; xo = 7 - 7)* k! e7 k! ...

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Q: A. Evaluate the following limits. 1. lim cos2x = 4 2. lim tan3x 3. lim[log3 2x] %3D

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Q: Using polar coordinates, find the area of the region shared by r=6cos(theta) and r=6sin(theta)

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Q: Find the area of the surface generated by revolving the curve 1 V1+e*, 5x 0 < x < 2 around the x-axi...

A: We can find the area of the the surface as follows 

Q: Find the radius of convergence and the interval of convergence. Xx' k + 2 k=0 Radius of convergence:...

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Q: Update A webassign.net/web/Student/Assignment-Responses/last?dep=28727898 pəsn E * * Let f(x) = 3x -...

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Q: Find the indicated vector. Let u = (-1, -1), v = (7, S). Find u + v. O (-8, -9) O (7, 6) (6, 7) O (2...

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Q: Write down the matrices representing the linear transformations f satisfying the fol- lowing propert...

A: We have to write matrix representation of the linear transformation f.

Q: A new manufacturer of automobiles in Canada has determined that the quantity demanded of their brand...

A: Given p(x)=-x^2+6x+36    and interval 3&lt;x&lt;9

Q: 10. Determine three positive numbers whose sum is 48 and such that their product is as large as poss...

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Q: %3D %3D Find the area of the region enclosed by y = 4e", y 9e- and x = 0. 7. 5- 2- 1+ 0.1 0.2 0.3 0....

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 9n + n 8n -...

A: The given series is: ∑n=1∞9n+n8n-1 Let, an=9n+n8n-1, n≥1

Q: 11. Determine three positive numbers x, y and z whose sum is 10 that produce a maximum value for the...

A: Given problem:- Determine three positive numbers x, y and z whose sum is 10 that produce a maximum v...

Q: The region bounded by f(x) = - 4x2 + 20x + 96, x = 0, and y = 0 is rotated about the y-axis. Find %3...

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Q: Which of the following is the approximate value of e' if polynomial expansion P(x) centered at a = 0...

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Q: Suppose 1 aj = 2 3 4 5 1 az = , as ', a5 = 2 – 2 3 3 4 - 4 5 - 6. 6. | a) Find an explicit formula f...

A: Given: a1=12-12, a2=23-13, a3=34-14, a4=45-15, a5=56-16, For (a), So, now the explicit formula is an...

Q: The graph of the equation 3x2 +2y2 +6x-16y+F=0 is either an ellipse, a point or an empty set. What s...

A: Equation of ellipse is (x-x1 ) 2 /a2+ ( y-y1)2/b2 =1

Q: In a certain manufacturing process, when the level of production is x units, the cost of production,...

A: This question can be solved by using the concept of absolute maxima and absolute minima.  

Q: The acceleration of a moving particle in space is given by the vector function a (t) = 3t2 i + 4t + ...

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Q: Determine the present value P that must be invested to have the future value A at simple interest ra...

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Q: Let R be the region bounded by the rose curve, r = 6 cos(60) as shown in the diagram below. Find the...

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Q: 6. Determine the y'of * y = eese 3x

A: topic- derivative of a function

Q: 5. Consider the graph of y = 7-3x2. Calculate the area enclosed by the curve y= 7- 3x and the x-axis...

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Q: If Luk and > UR are convergent scries, then (ux + vk) and Σω 2(uk – Vk) are convergent series and th...

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Q: A space probe in the shape of the ellipsoid 16x +y + 4z = 20 enters a planet's atmosphere and its su...

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Q: 3 2x – x 1 dx = - arctan(x) – x - 1 -- In \x – 1| + 2(x – 1) 1 + C - (x – 1)²(,² + 1) 2

A: In order to evaluate the integral, firstly we need to split it into partial fraction and then integr...

Q: For f(x, y) = xe**Y, find fy (1, In 2) O 2 O 2 In 2 O 4 In 2 +2

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Q: Determine the amplitude, period and displacement for the given function, and sketch the graph of the...

A: Function y=32sin2x+π6 is given.We have to determine amplitude, period and displacement for the given...

Q: Write a chain rule formula for the following derivative. du for u = f(x); x = g(p, q, r) ar du du ar...

A: We have to choose correct option

Q: TRAN SFER TRANSFER ACTIVITY 2: INTEGRATION THROUGH SUBSTITUTION Direction: Evaluate the following in...

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Q: Selecting 5 problems to solve in a 10-item Math quiz. Combination Permutation

A: A permutation is an act of arranging the objects or numbers in order. Combinations are the way of se...

Q: A botanist can purchase plant food of four different types, I, II, III, and IV. Each food comes in t...

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Q: Evaluate: Il2dxdy using inner limits 0 to y and outer limits 1 to 2. O a. 0.71 O b.0.375 Ос. 3.75 d....

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Q: Consider the function f : R → Rj, f(1) = (x – 4)°. Complete the following: fis because the equation ...

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Q: Find the angle between u and v in radians. u = 4j - 2 k, v = 8 i - 3 j- 10 k O 0.14 1.43 1.57 1.53

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Q: A man on a boat is located at point B on the waters, 200 meters from point A on the shoreli Line seg...

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Q: 14. Evaluate * lim,-> 2-5x

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Q: 23 = 24 = a5 = In(n) lim = -0 n+ 1 Enter DNE if limit Does Not Exist.) Does the sequence converge ye...

A: The given sequence isln(n)n+1n=1∞ and an=ln(n)n+1.

Q: Consider the region R bounded by the line y = 42- 8x and the parabola y = 27 - x2. To find the volum...

A: We need to find volume.

Q: Find the equation of the vertical asymptote f(x)=log(x+4

A: We have to use properties of log function to solve the problem.

Q: 3. Find the dy/dx of * y? + 2x – 3y = 0

A: The given function,         y2+2x-3y=0