1. Find the vector equation, parametric equations and symmetric equations of the line passing through the points (6.-3. -2) and (-2.2 1)

Q: Find the average value of the function f(t) = (t– 10) on [0,15]. The average value of the function f...

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Q: 1 Evaluate dV, where E lies between the spheres x2 + y2 + z2 = 9 and x2 + y? + z2 x2 + y? + z2 36 in...

A: we want to find the triple integral ∫∫∫E1x2+y2+z2  dVwhere E lies between the sphere x2+y2+z2=9  and...

Q: Problem 2. Show that as x → 0∞, (1+4)'-- + e. In(1+h) – In 1 = lim h→0 In(1+ h) d In x lim h→0 = lim...

A: We are asked to prove that given

Q: -* dw 2 w2w

A: Given:     ∫28dww2w  =∫2812w32dw Taking constant out.   =12∫281w32dw

Q: Find the integral: log2 X dx In(2)/ 082(x) + C 2

A: Put logx = u then solve it. 

Q: Which of the following statements is true in finding roots of a function using the bisection method?...

A: Find your answer below 

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

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Q: Direction: Find the derivative of the function. g(x) = (3 – z*) (x* – z + 1) Select one: O g'(r) = -...

A: Given:     gx=3-x2x3-x+1             =3x3-x+1-x2x3-x+1            =3x3-3x+3-x5+x3-x2       gx=-x5+4x...

Q: What is the symbolic form of the argument?" Sad svd S .. d .. d Option 1 Option 2 Sad svd S ... d .....

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Q: The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplic 2 at x = 2 and x...

A: roots : x=2,2,0,0, -5 Factors are given by:x-2,x-2,x-0.x-0,x+5hence P(x)=Product of factors P(x)=(x-...

Q: Using distance formula, show that the points (2, -1), (0, 1) and (2, 3) are the vertices of a right-...

A: Our Aim is to show that the points (2,-1), (0,1) and (2,3) are the verticesof a right-angled triangl...

Q: + 2y 90 sec dy d0 20

A: Follow the procedure given below. 

Q: ces to aCcess in When the following molecular equation is balanced using the smallest possible integ...

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Q: Determine the following limits. If infinite, specify co or -co. If an answer does not exist, explain...

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Q: Learning Task 2 Use reference angle and appropriate sign to find the exact value of each expression ...

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Q: Evaluate the following. Show solution using the basic formulas. 1. S(3x² – 8x + 7)dx

A: Let I=∫ 3x2-8x+7dxApply the Sum Rule:  ∫fx±gxdx=∫fxdx±∫gxdxI=∫ 3x2dx-∫ 8xdx+∫ 7dxTake the constant o...

Q: Evaluate the integral: S (3x-3 + 3)dx Choose the most appropriate answer.

A:     ∫ 3x-13+3dx=∫ 3x-13dx+∫ 3dx=92x23+3xAdd a constant to the solution=92x23+3x+C

Q: (1 + cos x)y’ = sin x(sin x + sin x cos x – y)

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Q: sin? 2x dx 1+cos 2x

A: solution:-∫sin22x1+cos2xdxwe know thata2-b2=a+ba-bsin2θ+cos2θ=1sin2θ=1-cos2θ=1+cosθ1-cosθ  

Q: Learning Task 3: Give the COTERMINAL for each angle. ONE NEGATIVE AND ONE POSITVE 1. 128° 2. 382° 3....

A: Given:- 128°  382° 535° To find:- Give the COTERMINAL for each given  angle. ONE NEGATIVE AND ONE ...

Q: S(tan 3x – sin? 2x tan 3x)dx

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Q: Express your answer in 2 decimal places.

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Q: Inverse Function: One-to-one   Running burns about 13 calories per minute. a) Determine the type ...

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Q: 3. In (cose) tane de

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Q: Evaluate the ff. 1.  ∫(3x+4)^2 dx 2.  ∫ sinx + sin(π/2-x)/cos x dx 3. ∫(1-r) √r dr

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Q: = 2x2 + 2y? and Find the center of mass of the solid S bounded by the paraboloid z = the plane z = 6...

A: Let x=rcosthetha and y=rsinthetha  So, x2 + y2 =r2  So, r very from 0 to √3 

Q: Subtract in the indicated base. 10024 3224 10024 3224 4

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Q: 1. Use the function f (x) = x² – 3 to answer the following questions" A. Find the average rate of ch...

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Q: (a) Let A = {1,2,3}, B = {3, 1,2}, and C = {1,1,2,3, 3, 3}. What are the elements of A, B, and C? Ho...

A: Find your answer below 

Q: Find the distance from the point to the line. P(- 3,5, - 3); x = - 3+2t, y = 5+4t, z = - 3 The dista...

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Q: r(t) defines a curve. Find the exact numerical value of the length of the curve where t goes from 0 ...

A: r→(t)=2t,cos2t3/2,sin2t3/2 we have to find length of the curve when 0≤t≤1. The length of the curve i...

Q: (a) Find the differential dy. y = cos(TX) dy = (b) Evaluate dy for the given values of x and dx. (Ro...

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Q: 11. In a sine wave: a) At what angle, or angles, is the amplitude increasing at its fastest rate? b)...

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Q: 8) Which of the following functions are solutions of the differential equation y" + y = sin x? a) y ...

A: The given differential equation y''+y=sin x

Q: 42) Find the surface area of the solid that results when the region in the first quadrant bounded by...

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Q: Given the equation below. Give what is being asked. 3 3 sin -xcos, xdx a sin ucos udu 8 xpx, Find: a...

A: According to question,Given definite integral,∫04π3 sin638x cos638x dx = αβ∫0γδπ sin6u cos6u du

Q: dy Use implicit differentiation to find dx tan(x+y) = x + y

A: To differentiate implicitly the given function.

Q: An insurance company has six branches in six states. Find the number of ways in which six branch man...

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Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (1+ cos x)y = sin x(sin x + sin x cos x- y)

A: Find your answer below 

Q: 2x-3y+6)dx-(4x-6y+2)dy=0

A: Given that: (2x-3y+6)dx-(4x-6y+2)dy=0

Q: 1+1

A: We will need to find the sum of these two numbers.

Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATIONS. 1. siny dx + (x - sin? y)dy=0 2. x + ( 1+x)y = e -× sin2...

A: First order differential equation : Consider the first order differential equation                  ...

Q: If f(x) = 5dt then f'(x) =O

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Q: p(x) where p(x) is a quadratic polynomial and q(x) is a linear function. What are the possibilities ...

A: Let's find. 

Q: Total profit is defined as total revenue, R(x), minus total cost, C(x), and is given by the function...

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Q: x3-27 dx 2. ズ-3

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Q: Evaluate: 1- cos(x) 3x2 lim Express your answer in 4 decimal places.

A: According to question,Given limit,limx→0 1- cos x3x2

Q: Direction: Find the derivative of the function. 2e Select one: O y' = 4z? – 1+ 2e² O y' = 4z² +1 – 2...

A: according to company rules,i need to solve first question when multiple questions are posted so solv...

Q: 3-20 Find the limit. x² - 9 3. lim 4. lim + 2x - 3 x - 9 5. lim + 2x - 3 6. lim x² + 2x - 3 31-3 (- ...

A: Solution is given below:

Q: (5) (2x – y) = 2y – x | dx (6) (02 + 1) cosr dr + 20 sinr de = 0 %3D

A: