A What is the geometric interpretotron d the derivative f'(a )? O Compute im 2-x 人フ1

Q: 2k-13k+1 6–1 00 kk k=1

A: Answer is given below.

Q: Consider the points A(2, –3, 4), B(4, –5, 1), C'(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of...

A: Let a,b,c,d are position vector of point A,B,C and D respectively. Therefore, a=2i-3j+4kb=4i-5j+kc=-...

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: 8. DETAILS LARAPCALC10 3.3.062.EP. Consider the following function, where R is the revenue (in thous...

A: Use diminishing concept

Q: Jse cylindrical coordinates to calculate fSfw f(x, y, z) dV for the given function and region: f(r, ...

A: We need to evaluate integral using cylindrical coordinates.

Q: 5) y>10 (3v-1) (1+5w)

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Q: y = a sin (x + b) u sin (x + b) -a sin (x + b) O a cos (x + b) O -a cos (x + b)

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Q: S ds J V3s? + 1

A: To evaluate the given integral  

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 2j as a...

A: Given problem:- Use vectors to find the lengths of the diagonals of the parallelogram that has i+ j ...

Q: 7.) f (x)> (3x+2)(5x-2)

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Q: Determine if the following functions are continuous on the interval I. 2 (b) f(x) = x´ – 5;I = [- 5,...

A: follow next step

Q: In this situation, finding the indefinite integral is most easily achieved using the method of integ...

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Q: Exact equations: Solve * 3xy dx + (3x²y + 4y² ) dy = 0 xy3 + y4 = c y? + y* = c

A: No option match with above two options but i am sure about the answer

Q: Find the x-intercepts. 2x2 – 3x + 1 y = 2x2 + 8x + 6 - (0.5, [?]), ([ ], [ ]) Enter the number that ...

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Q: We now use the substitution u = x° + 8x and du = (9x° + 8) dx to convert the entire integral into on...

A: We have to solve integration 

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: x V3x - 5 dx

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Q: 4. What is the equation of the normal line to the curve 4x2 – 9y2 = 1 at point (3,2) ? a. y =x- 4 5....

A: Slope of the Normal Line to the graph of f(x) is  -1f'(x). Equation of the line : y-y1=mx-x1 where, ...

Q: Activity 1. Solve for what is asked. Expresses your answer in simplest form. 1. Find : dx x = 8

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Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v, a...

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Q: Find the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to t...

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Q: Find the coefficient a of the term in the expansion of the binomial. Binomial Term (3x-4y)^9 ax^4y^5

A: The given binomial,     3x-4y9

Q: Find an equation of the tangent line to the graph of f(x) = xe¯X at its inflection point. y =

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Q: Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = et –...

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your a...

A: Here we have to find the given inverse Laplace transform.     L-1[(6s-12)/{(s2+s)(s2+1)}]

Q: Solve the differential equation. ху' — 2у %3D х2, х>0

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Q: 13.Exact equations: Solve: (2r3 + 3y) dx + (3x + y – 1) dy = 0 O x* + 6xy + y² – 2y = c O r?y² + y* ...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: 2. Evaluate the iterated integral. b. So R dx dy -2 2х 4 a. o xy dy dx

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Q: 6. Using L' Hopital's Rule, find the value of the limit L- lim +1

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Q: x(2x? + 1)6 dx

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Q: 1. Find the general solution of these constant coefficient linear inhomoge- neous ODES, using the me...

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Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer alge...

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Q: Let X be a random variable with p.d.f f(x) = 2x,0 < x < 1. Find E(Vx). 2/3 5/4 3/2 4/5

A: Given

Q: Use differentials and the graph of f to approximate the following. (Round your answers to three deci...

A: From the given graph: f(2)=1,f'(2)=0-24-0=-24=-12

Q: cotx dx In|csc x| cSC

A:

Q: The next step is to find du = g'(x) dx. First find g'(x). %3D g(x) = x° + 8x g'(x) = Therefore, we h...

A: We can find the required answer in the following steps

Q: 5. Find the general solution of the given differential equation y" + 3y" + 3y + y = 0

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Q: Find the coordinates of a point P on the line and a vector v parallel to the x - 7 y + 9 = z + 4 Р(x...

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Q: 2. For the following complex numbers; perform the indicated operations. Expressresults in rectangula...

A: Given: za=-2-5izb=2.15e4.18izc=1.75cos165°+isin165°zd=0.745∠-36°ze=1+3izf=0.953cos324°+isin324°zg=2....

Q: Find the arclength of y = 4x°/2 on 2 < x < 4 %3D

A: Given :  y=4x32     on  2≤x≤4   To Find : Arc length of y=4x32

Q: Give The Taylor series abour fa) = ex mring Series-> for the followingevaluaro ns, and Firor Five te...

A: Put x=-5 and x=1/2

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = et –...

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Q: For each of the following rational functions, determine where the vertical asymptote(s) of the funct...

A: Given: hx=1x2-14x+45   As we know that; To calculate the vertical asymptote, equate the denominator ...

Q: ydx -(x +3y)dy = 0 Ans. x = 6y In

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Q: 2. Find a particular solution to each of these ODES by using the method of variation of parameters: ...

A: Note: as per our guidelines we have to solve 1st question. So please repost other questiin . sorry f...

Q: n 1.3.5. ...· (2n – 1) 5nn! n=1

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Q: - 322 - 4x - 5 Set up but do not evaluate the integral to find the length of the arc of the curve y ...

A: Given query is to find the integral form arc length.

Q: Linear coefficients in 2 variables: Solve the equation: x – y + 1) dx – (x + 4y + 1) dy = 0 O In[(x ...

A: Solution of the problem as follows