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Q: 1. Find the derivative of f(x) = x² – 3x. Use the result to find the slope of the tangent line to th...

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: Use the Endpaper Integral Table to evaluate the given integral. If you have a CAS, use it to evaluat...

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Q: Figure 1: Continuous and differentiable Figure 2: Continuous but not differentiable Figure 3: Differ...

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Q: Using integration technique: integration of rational X-4 functions by partial fractions, integrate d...

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Q: x+1 Evaluate f dx x2 A. 를 (1+즐)를 B.-름 (1+즐)를 c.(1- - - - (1- ) + C + C (1 + 3 + C + C D. 3. A OB C

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Q: Let y = f (x) be the solution to the differential equation =z- y with initial condition f (1) = 3. W...

A: Given the differential equation dydx = x-y with initial condition f(1)=3. We have to find the approx...

Q: S 3x° V1 – 2a3 l 2³ – 3x 1. Let f(x) = if æ 0

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Q: Find the angle of the slope for the line L1: 3X - 4Y+2 0 35 O 60 O 90 37 45 40 O 30 O

A: we have to find slope dy/dx  we have to derivate the function with respect to x 3x -4y +2 =0 3 - 4dy...

Q: Given f(x,y) = 5x sin(3xy).  Find fx(4,2). Give you answer correct to two decimal places.

A: fx(x,y) is partial derivative of f w.r.t x

Q: dx Evaluate: J sin x A. 3tan'x ++C C. tan'x +C tanx tan x + C tan 2x D. в. 3tan'x tanx 2tan2x

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Q: Given a function f(x,y,z) = (x+6) In (2y - 9) sin (6z). Find the range of the function. o a [ -1,1] ...

A: Given a function fx, y, z=x+6 ln2y-9 sin6z.To find the range of the function.

Q: Determine whether the series is convergent ordivergent. the exact test that you Use. 00 Sinl 2. nこ1

A: To determine whether the given series is convergent or divergent.To write the exact test that you us...

Q: Find the maximum and minimum values of the function f(x) = In(x) on the interval [1,6] by comparing ...

A: Solution ) f(x) = lnx/x f'(x)=  [x (d/dx ( lnx )) - lnx (d/dx (x) )]/ x2 By differentiation divisibi...

Q: 5. Half-Angle Sub

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Q: əz and Əx əz For the following functions, determine ду z = x*ev5

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Q: Q1: Convert the polar function to Cartesian function in the form f(x, y) = 0? cos 0 + sin 0 r = cos²...

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Q: 3. A savings account earns a 4% annual rate, compounded continuously, and $500 per year is withdrawn...

A: It can be solved as follows:

Q: Given a function f(x,y,z) = (x+4) ln (9y - 2) sin (2z). Find the domain of the function.

A: Let's find. 

Q: Determine whether the series is convergent or divergent.Write the exact test that you Use. 00 2. n=1

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Q: Solve for the Linear Differential Equation: y' + y = sin(e^x)

A: Given differential equation is y'+y=sin(ex)

Q: -1 dx 21 16

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Q: 1) Use the definition of the partial derivative to find af given, əx f (x, y) = x²y + 2x + y³ %3D 2)...

A: I am attaching image so that you understand each and every step.

Q: Use Cramer's rule to solve the system. 3x- y-5z 14 3x-5y-2z 2 3x - 5y = -6 ... Write the fractions u...

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Q: dx Integrate: J. 3n B. A. EIN

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Q: Find the standard form of the equation of the ellipse and give the location of its foci. Type the st...

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Q: A monopolistically competitive firm maximizes profits by producing the quantity at which O price equ...

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Q: xdx Evaluate Vx4-16 Vx2+16 Vx2–16 A. + C с. + C 4 Vx²–16 (In In в. + C D. + C 4 O A В O c D

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Q: Determine the total work, by Green's theorem, performed by the force F(x, y) = field, on a particle ...

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Q: 5x2 + 20x + 6 dx x3 + 2x2 + x 3.

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Q: Use the method of cylindrical shells (for all parts) to set up an integral (without the absolute val...

A: Note:- As you write only set up the integral to find the volume by method of cylindrical shell and d...

Q: f (sin(x²y), x³ – y²) ry If we take u = sin(x'y) and w x³ - y?, then: dz A) dy x2 . fu · cos(r?y) – ...

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Q: Find the integral of (1 + 2x)e^(-x) dx from x-0 to x--. A. 3 B. 4 C. 2 D. 1 O A B. DI

A: Use integration by parts for solving it, 

Q: If f is continuous over the interval [a,b] and F (x) is any antiderivative of f(x) then f(x)dx F(b)-...

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Q: Calculate the amount of concrete required to cover the curved part of a pipe with a diameter of 50 c...

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Q: 1 Arc sin, xdx хах 2

A: By parts method: ∫u(x)v(x)dx=u(x)∫v(x)dx-∫dudx*∫v(x)dxdx ddx(arc(sinx))=11-x2

Q: The amount of pollutant M in the atmosphere is decreasing with time t according to the formula M = e...

A: Given:  The amount of pollutant in the atmosphere is decreasing with time t according to the formula...

Q: Find the area of the region that lies inside both the curves r = sin(0) and r= cos(0). A. (M В. (п 2...

A: This is a problem of integration. We will calculate the area by using integral method. Please follow...

Q: The sequence that begins 101, 105, 109, 113, 117, .could be O a geometric sequence. O a Fibonacci se...

A: This question can be solved using the concept of types of sequence.

Q: Evaluate (5"31-n). Write actions as an improper fraction a/b. If it does not converge, write "Infini...

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Q: C. Find the slope and the equation of the tangent line to the curve. 1. у %3D х2- 4х + 1 at (2, -3)

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Q: Consider a, B, t/= 0. A possible graphical representation for the plane of equation Bx + ay +t = 0 s...

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Q: ren f(x, y) = In Va²y3. What is = value of fy(1, 2)?

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Q: B. What is the derivative of y with respect to x if y2 – x² = 4? Justine Ashley y? – x² = 4 y? = x2 ...

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Q: y V3 x dx 8y-y2

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Q: Use Bisection Method to find the root of æ + 10x? – 5 0 that lies in the interval (0, 1) to four-dig...

A: We have to find the root of the given cubic equation using bisection method.

Q: 10- 10 10 Find its domain and range. (Enter your answers using interval notation.) domain range 30

A: For given function of graph. f(x)=>y^2=36-x^2 hence we know that  for domin and Range : by defini...

Q: Use vectors to show whether or not the points form the vertices of a parallelogram. (1, 1, 3), (-1, ...

A: Find your answer below 

Q: Vx2 – 1 2

A: ∫x2-1x2dxIntegrate by parts ∫fg'=fg-∫f'gf=x2-1, g'=1x2f'=xx2-1,g=-1x

Q: Find an equation of the tangent plane to the surface at the gi g(x, y) arctan (3, 0, 0) %3D

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Q: Find  v  if  r = 3  inches and the point rotates at  15  rpm.

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