Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative. f(u) F(u) %3D

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

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Q: Find the derivative of the function. f(x) = 7x2 In(9x)

A: To find derivative of given function.

Q: а Let, u = and v = -2 where a <0. a 2 1 Which one of the following must be true about the angle 0 be...

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Q: Find the indefinite integral. (Remember the constant of integration.) (0.9t2 + 0.08t + 9) dt

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Q: 1. Separation of Variables: Solve for: y' = yx? x* = y Inc O x* = cy*

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Q: 11. Linear coefficients in 2 variables: Solve ti (x – y + 1) dx – (x + 4y + 1) dy = 0

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Q: ue Q(t) = 2400e-0.05t where t is measured in years, answer the following questions. (a) What is the ...

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Q: Determine where A(t)=t^2e^5-t is increasing and decreasing.

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Q: 16. As a generalized interpolation problem, find the quadratic polynomial q(x) for which q (0) = -1,...

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Q: y (4x + y) dx – 2 (x² - y) dy 22 + x + 2 ln y = C ans.

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Q: Suppose f is a function such that f'(7) is undefined. Which of the following statements is always tr...

A: Given that: f is a function such that f'7 is undefined. We need to comment upon the continuity of th...

Q: Let D be the trapezoidal region in the ry-plane bounded by the graphs of z = 0, y = 1, y = z and y =...

A: We have to solve for the area by integration. 

Q: (1-x²)-1/2 Arcsin x

A: We will integrate the given function using simple Integration method.

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: Determine the domain of the following functions. 3. (x) = x+3 4. f(x) = 5-

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Q: Suppose that f(x, y) 3, and D = {(x, y) | æ² + y² < 16}. Then the double integral of f(r, y) over D ...

A: Solved below

Q: Find a set of parametric equations for the line passing through the point (1, 0, 9) that is parallel...

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Q: A company estimates that the marginal cost (in dollars per item) of producing x items is 1.65 - 0.00...

A: Given,           A company estimates that the marginal cost in dollars per item of producing        ...

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

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

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Q: ind a vector orthogonal to the plane containing points (3, 1, 1), (4, 0, 2), (6, 3, 1).

A: Given problem:- Find a vector orthogonal to the plane containing points (3, 1, 1), (4, 0, 2), (6, 3,...

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx² + y2 + z? (5, ...

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Q: Q3: Solve the following first order differential equations Use any method: dy 1-2у-4х dx 1+y+2x

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Q: Find the directional derivative of the function at P in the direction of v. V2 f(x, y) = x³ – y³, P(...

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Q: y" – 6y + 10 y = 50 x + 3e - +20

A: We are asked to solve the differential equations.

Q: Find f. f"(x) = cos(x), f(0) = 6, f'(0) = 4, f"(0) = 9 f(x) =

A: We can find the value of f(x) as below.

Q: Determine the homogeneity of the following functions x+y/x-y

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Q: Find an equation of the plane with the given characteristics. -4 The plane passes through the point ...

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Q: 3x dx

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (4...

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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: ©if g(x, v) = In(),the )If g(x, y) = Int then xgx - vgw in simplified form is [c].

A: We can find the answer as below in the following steps

Q: R= {y = x^3 + 1, x=1, x-axis}   Can you help me answer this? And explain how did you get the answe...

A: Solution) R= {y = x 3 + 1, x=1, x-axis} We find the intersection point  y = x3 + 1 When  x = 1 y = 1...

Q: - Using Greens date $(x2 + y)dx bounding of the 0<x<1 and x' sysx.

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Q: E2-3

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Q: Obtain the solution using Integrating Factors Found by Formulas. 1. 2(2y2 + 5xy – 2y + 4)dx + x(2x +...

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

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

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Q: 12. Exact equations: Solve: 3xy²dx + (3x²y + 4y²) dy = 0 O ry + y* = c O r?y² + y* = c

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Q: %3D

A: Find the second derivative and substitute in the given differential equation and solve for r. 

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: O Determine it the following function is eontinues at 2 f(x) = [2x*_2x-4 if x +2 ノ X-2 1 if x=2

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Q: 3. Show that the equation below is an inexact equation. Find the integrating factor in terms of t on...

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Q: 3.1.053. A fast-food restaurant determines the cost and revenue models for its hamburgers. C = 0.9x ...

A: Solution is here

Q: Find a polar equation in the form r = f(8) of the hyperbola with eccentricity e = 4 such that one of...

A: One of the foci            =0,0    poleeccentricity                   = 4vertex nearest to pole = 2,...

Q: 1. x3 + y3 – 2xy = 0, find y'.

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Q: Determine whether the following sequences are convergent or divergent. If a sequence is convergent, ...

A: For (a),     limn→∞ n-n2-nRationalize,=limn→∞ nn+n2-n=limn→∞ 11+1-1n=limn→∞ 1limn→∞ 1+1-1n=12 So, co...

Q: Evaluate the following series two ways: 4 4 3k k=1 3k+1 (a) Using a telescoping series argument. (b)...

A: Given that ∑k=1∞ 43k-43k+1a.431-432+432-433+433-434+434-435+......+43k-43k+1=431-43k+1=431-43∞+1=43

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

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Q: Find the vector -3u+4w given the vectors u = -i-4j and w =-2i+5j. Write your answer in the form ai+b...

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point (6,...

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