A. Find f + g,ƒ – g,fg,f/gand state the domain of each. 2. f (x) = 9 – x², g(x) = vx + 3

Q: Q4: Find the curl of the vector field F(x, y,2) = xJyi +j+ zk at the point(2,4).

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Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. dy ...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Evaluate the integral: 1 dx x In x /(In x)2 - 3

A: Given,           ∫1xlnxlnx2-3dx

Q: Find the exact arc length of the curve over the stated interval. 36.xy = y + 108, from y = 2 to y = ...

A:

Q: If f(x)=2sin^-1(x^3), then f’(x)=?

A: Solution:

Q: Use cylindrical or spherical coordinates to evaluate the integral. NOTE: Enter the exact answer. /64...

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Q: dy dx = y 3 2.

A: We have to find the area using the given information

Q: 04) Find the eigenvalues of A, B, and C: -- - -) --- 1 2 3 2 2 2 2 2 2 2 2 2 A = 4 5 and B = 0 2 3 0...

A: Using eigen value formula.

Q: Determine the general form of the equation of the line that is tangent to a unit circle at a point 3...

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Q: Find the volume of the solid that results when the region enclosed by y = VT, y = 0, and a = :16 is ...

A: The given problem is solved below in detail

Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved ...

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Q: The 2nd derivative of the function is 3 points .2 y = cot x? 2 esc x (4x cot x -1) 2 ese x (4x cot x...

A: Given: To find the second derivative. y=cot x2

Q: tind the value if tht Fulliwing (9) lim メ3ー メー7| X-1

A: Given: alimx→1x3-1x-1blimx→9x-9x-3climx→2x+709-11-x

Q: Evaluate the double integral. /7 32(4 + 37) † dA; R R is the region in the first quadrant enclosed b...

A:

Q: What is the center of the circle (x - 5)2 + (y + 3)? = 49?

A: The general equation of circle is  (x-h)2+(y-k)2=r2  Where (h,k) is the centre and r is the radius

Q: Evaluate the iterated integral. /2 y/6 3/y sin y dz dx dy

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Q: Evaluate the iterated integral. V 4 - y2 (x + y) dx dy

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Q: Evaluate the triple integral in spherical coordinates. f( rho, theta, phi ) = sin phi, over the regi...

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Q: Evaluate the iterated integral. 5 (ху) dy dx

A: Topic = Integration

Q: 4 2x dx J2 x²-1 3.

A: Topic = Integration

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the giv...

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Q: 4. Consider a Möbius transformation f(z) = 4%+, where c 0. Show that f does not have an antiderivati...

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Q: The general solution of the s.o.d.e y"-4y'+13=O is

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Q: determine the dependent variables and independent variables. Identify the type and determine the lin...

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Q: Which of the following lines bisects the line segment between (0,3) and (4,5) 5 x = -2y Dy = -2x 5 x...

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Q: Obtain the differential equation of the family of curves described and sketch some members of the fa...

A: Given that - Ellipses having its centers at the origin and transverse axis x.

Q: Use cylindrical or spherical coordinates to evaluate the integral. NOTE: Enter the exact answer. •/6...

A:

Q: The water's volume in a cylindrical tank is changing with respect to its height. If the rate of chan...

A: Given: Rate of change of Volume V(m3) with respect of height h(m) follows πk2h-32 Aim: We have to fi...

Q: iven: ƒ (x) = Ax? + Bx where A 6 and B= 5 ind: f' (x) using LONG METHOD DERIVATIVES.

A: We can find the answer as below

Q: Describe the graph of the equation. r= (6 - 21) i+ 8tj O tis a plane in 2-space through the point (6...

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Q: Evaljẩteẩ tẩje integral: 1 dx x In xjẩ/ẩInẩxẩ – 3

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Q: Q 1: Put the word true in front of the correct statement and the word false in front of * - the fals...

A: Gauss elimination is an algorithm that allows us to transform a system of linear equations into an e...

Q: Evaluate the integral using Partial Fraction Decomposition. t3 + t2 – 5t + 15 dt t + 2t3 + 8t2 + 10t...

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Q: 1. At the beginning of 2004 worlds population was about 6.4 billion. it is said that by the year 202...

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Q: The value of the funet (x, fCx) for the maxi

A: To find maxima or minima ,we need to find critical points first.

Q: determine the dependent variables and independent variables. Identify the type and determine the lin...

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Q: Let G be a solid bounded by the planes x 16-z and z 0, and the parabolic cylinder x= 4y'. Sketch the...

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Q: Where is the function f(x) = if x 0 removable discontinuity? Is it a jump discontinuity?

A: A jump discontinuity occurs when right and left limit exists but are unequal .

Q: Q 1: Put the word true in front of the correct statement and the word false in front of * - the fals...

A: The given query is to tell whether the given statement is true or false.

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the giv...

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Q: The 2nd derivative of the given functions is y = 3 cos (4x – 5)

A:

Q: B. Complete the table of values below. a. f(x) = x b. f(x) = x 0.00001 0.0001 0.001 0.01 0.1 10 100 ...

A: Given function is f(x)=x

Q: Find the equation of a line parallel to 2x+y-3=0 passing through (-2, 3). O none of these O x + y + ...

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Q: 2 2: Choose the correct answer in each of the following (for each branch 5 *-degrees): 4

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Q: and B =0 2 0 and C = 2 2 2 2 2 2 A = 0 4 6 3 00

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Q: ...********. Use a double integral to find the volume of the indicated solid. x + y + z = 6 0, 2.

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Q: a. Solve the following system by using Cramer`s rule; 5x + 3y – 3z= -14, 3x+ z – 4y= 2; 7y+ z +x=6 b...

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Q: Evaluate the integral using Partial Fraction Decomposition. t+ + 7t5 + 15t* + 32t³ + 23t² + 25t – 3 ...

A: Given,            ∫t6+7t5+15t4+32t3+23t2+25t-3t2+t+22t4+2t2+1To find: Evaluate the integral using th...

Q: 4. у(бу? — х — 1)dx + 2xdy — 0 -

A: This is non linear equation. Since y is dependent function which is non linear form. 

Q: y(4) + 3y" + 2y = 0

A: Here we have to find the general solution of     y(4)+3y"+2y = 0