Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 3-√x lim x→9 9x - x²

Q: Construct a possible standard matrix (preferably in echelon form) for the linear transformation T :…

A: We have to construct a matrix for the linear transformation T:ℝ5→ℝ6 such that the transformation is…

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Q: Evaluate the integral. (Use C for the constant of integration.) x² 3x + 8 - - dx

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Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 9x - 4x²…

A: To find out the slope and equation of the tangent line.

Q: The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's…

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Q: dy Suppose that x and y are related by the equation 2x² - 5y² = 5 and use implicit differentiation…

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Q: Use a numerical solver and Euler's method to obtain a four-decimal approximation of the indicated…

A: According to question,Given data,y' = y-y2,y0 = 0.6

Q: Determine if the sequence converges or diverges. If it converges, state the limit. n arctann Inn…

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Q: The course for a boat race starts at point A and Proceeds in the direction S 50° W to point B, then…

A: Question -   The course for a boat race starts at point A and Proceeds in the direction S 50° W to…

Q: Given f(x, y) = x - 3x²y³ - 2y², find fz(x, y) = fy(x, y) = ƒxx(x, y) = fxy(x, y) =

A: f(x,y)=x6-3x2y3-2y2fx(x,y)=∂ ∂x(f(x,y))∂ ∂x(xn)=nxn-1∂ ∂x(constant)=0

Q: ^= [] B =[27³ ²¹3). C= _¹5]. 6 12 8 2 a. Matrix A: Determinant (or why it can't be found): why not):…

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Q: Consider the following piecewise-defined function. f(x) = 2x² - 2x + 7 [2x² -7x+4 if x < 1 if x ≥ 3…

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Q: Find an implicit solution to the differential equation e³ dx + (2y + xe") dy = 0.

A: We have to find an implicit solution of the given differential equation.

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

A: NOTE: Refresh your page if you can't see any equations. . find the given limit use L'hospital's…

Q: The line that is normal to the curve x² + xy - 2y² = 0 at (5,5) intersects the curve at what other…

A: Topic = Application of derivative

Q: . Express the function F(x) = 1 + sin x 1+ sin² x in the form (fog)(x).

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Q: 14. Based on the graph the function is discontinuous af Answer: -4, 2, 4 -3/-2 -1

A: Since the student has posted multiple questions and does not mention any specific question. But…

Q: Ixe A) e¯(1 − x) + C el-r 1-x B) -I dx = +C x C) -e (x + 1) + C D) −æe¯ª + C E) e(x + 1) + C

A: Topic = Integration

Q: Should i put 62 on the other side making it -62?

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Q: Show that f is continuous on (-∞, ∞). (1-x² In(x) On the interval (-∞, 1), fis a polynomial On the…

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Q: Find the periodic withdrawals PMT for the given annuity account. (Assume end-of-period withdrawals…

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Q: - The plane K contains the z-axis and the point P(1,2,3). If the plane also contains the point…

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Q: Solve the DE. (Homogeneous DE) 1. (y2-x2)dx + xydy = 0

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Q: Find the derivative of the function. f(t) = 8(t9 − 7)5

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Q: 17. The total worldwide box-office receipts for a long running blockbuster movie are approximately…

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Q: 4. Find dy by implicit diff. de Cos(x₁) = sin(x+y) dy = ? Ax

A: To find derivative

Q: No the answer for my hw is 3 parts   You gave me only one answer

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Q: Find the first and second derivative of the function. Check to see that your answers are reasonable…

A: Given query is to find indicated derivative.

Q: The equation of motion of a particle is s= t3 - 3t, where s is in meters and t is in seconds.…

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Q: Hello its three answers you only put one

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Q: Find the exact length of the curve. y2 y² = 64(x + 1)³, 0≤x≤ 3, y> 0

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Q: eliminate the arbitrary constant y=C1x^2+C2e^2x

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Q: Find the linearization of y = e√x at x = 4. (Use symbolic notation and fractions where needed.)

A: To find the linearization of given function

Q: Show that the total length of the ellipse x = a sin(8), y = b cos(8), a > b > 0, is TT/2 ™¹²2 √ ₁ –…

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Q: In(x) x 2 dx

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Q: A. Find the solution of the following differential equations. Show your solutions 3. (D³ + 8)²y = 0

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Q: The variable a is jointly proportional to the cube of b and the square of c. If a=70 when b=5  and…

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Q: the negative direction? (c) Sketch a graph of the velocity function and the speed function on the…

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Q: Differentiate the function. 8 은 X y' = y = 2ex + 3

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (7 + h)−¹ – 7–1 h…

A: To find:- limh→07+h-1-7-1h

Q: Calculate the length of the astroid x2/3 + 12/3 = 1 shown in the following figure. −1 -1 +X (Give an…

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Q: Please answer

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Q: 4. x² + 2xy = y² + 2² = 7, Po(1,-1, 3) -

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Q: Find the Taylor polynomial T₂(x) and compute the error [ƒ(x) – T₂(x)] for the given values of a and…

A: To find the Taylor polynomial T2x and to compute the error fx-T2x  for the given values of a and x.…

Q: The number of years N(r) since two independently evolving languages split off from a common…

A: The number of years Nr since two independently evolving languages  split off from a common ancestral…

Q: 2. Ssec 20 tan³20 do

A: (2)   let   U=∫sec9(2θ)tan3(2θ)dθwe know that  1+tan2θ=sec2θd dx(secx)=secxtanx

Q: x t g(x) = f 2te dt. Find x so that g(x) = 2. 0

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Q: 8. Find all discontinuities of f(x)=x+1 x²2-2x-3 and label them as removable or nonremovable.

A: Topic = Continuity

Q: 1. The diagram shown AFB and BEC are equilateral triangles and AGDC is a rectangle. Write the…

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Q: Consider the function of two variables f(x, y) = e2 cos(3y) +√xy+1 (a) Compute the first-order…

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