Find the following limits (if they don't exist write DNE, ∞o or -∞o as appropriate): Answer: lim h→0 (h-1)²-1 h

Q: Determine whether the equality is always true -10√x-9 (x-9)² f(x, y)d ydx = ₁ + f(x, y)dx dy. ²+9…

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Q: Determine whether the given set of functions is linearly independent on the interval (-∞, ∞o). f₁(x)…

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Q: Differentiate the following function: f'(x) = f(x) = e" + ce 니

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Q: The Normal line at the point (0, –1, 1) to the 3 surface exy - xy² + z³ = -2 is 7=y+1=² Select one:…

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 12e* - 12 y(x) =

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Q: Find the second order derivation for y = e-3x².

A: d2dx2e-3x2

Q: 2 + y²

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Q: 19j isn't even an option... neither is your choices of + and - Please review possible answers and…

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Q: A farmer wants to enclose a rectangular area with 400 feet of fence. In order to maximize the area…

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Q: Given differential equation y""-ay" -4y' + 8y = e²-³x +8x⁹ (D³ - 20² - Auxilary equation 2 4D +8)y=e…

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Q: Find dy/dx and d²y/dx², and find the slope and concavity (if possible) at the given value of the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Evaluate the function at the given values of the independent variables. Simplify the results. f(x,…

A: Topic = Functions

Q: Find the determinant. x² -Ed 2x 5x4 W(x5, x²) = = (x²)(5x4) - (2x)(x5) The Wronskian ---Select---…

A: We need to fill in the blanks.

Q: The length and width of a rectangle are measured as 38 cm and 34 cm, respectively, with an error in…

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Q: ven the vectors and w V (0,0) -5 -4 Q a) Sketch the vector 20 6 A -5 -4 -3 -2 -1 5 4 3 2 -1 V -2 -3…

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Q: For the differential equation y(n) + p₁(t)y(n-¹)+...+Pn(t)y = 0 with solutions y₁, ·, yn Abel's…

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Q: Determine whether the given set of functions is linearly independent on the interval (-∞,00). f₁(x)…

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Q: Use cylindrical coordinates to find the mass of the solid Q of density p. ₂-(+² x² + y² ≤ 16, x ≥ 0,…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: Given: f(x)=1+3x-5x3

Q: Given that calculate f'(-1). f(x) h(-1) h'(-1) = || || x¹¹h(x) 3 6,

A: Given, f(x)=x11h(x)h(-1)=3h'(-1)=6

Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

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Q: 25. Find equations of all lines having slope −1 that are tangent to the curve y 1/(x − 1). = 1/4…

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Q: Use implicit differentiation to find dz/dx and dz/dy. X - z = arctan(yz) 218 дх 3: ду = = 1 22 yz +1…

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Q: Determine how many bags of popcorn should be produced per hour by each worker. Show how this is…

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Q: a. S ya +1 b+y+cya+1 b. ft² cos 3t dt dy where a 0 and c = 1/(a + 1).

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Q: A cube of ice is melting so that each edge is decreasing at the rate of 2 inches per hour. Find how…

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 8e* - 9 y(x) =

A: To find out the solution of the differential equation using the method of undetermined coefficients.

Q: The equation implicitly defines z as a function of t. Find dz dt +² 22 - sin (5 z) = -8

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Q: Find curl(curl F) = x (V x F). F(x, y, z) = 4x³yzi + yj + 4zk

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Q: explian how to get the domain, vertical asymptote, and end behavior of  h(x)=-log(3x-4)+6

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Q: Find the absolute extreme values of the function on the given interval. f(x) = 9x³ - 108x on [0, 5]

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Q: Find the equation of the tangent line to the curve y = 2x cos x at the point (₂ The equation of this…

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Q: 2. Use the Limit Comparison Test to determine whether the following series converge or diverge: a)…

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Q: Find the absolute extreme values of the function on the given interval. g(x) = x(10-x) on [0, 10]…

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Q: 5 Find the equations to both lines through the point (2,-2) that are tangent to the parabola y = x²…

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Q: use logarithmic differentiation to find the 1st derivative f(x)= x²(2x+3) (x²+1)*

A: given function  f(x)=x22x+3(x2+1)4

Q: Exercise (a) Graph fand the secant lines passing through P(2, 4) and Q(x, f(x)) for x-values of 3,…

A: Here we have to evaluate the given function at given values of x

Q: Əw Find Ət using the appropriate Chain Rule for w = x² + y² + z² where x = 10rsin(s), y = 10tcos(s),…

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Q: f(x) = 2x²-4x x²+1

A: Given :fx=2x2-4xx2+1

Q: (3x²-33x+90) 5x²-10x-120

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Q: As shown below, one of the sides has length x (in meters). Side along river (a) Find a function that…

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Q: USE NEWTON-RAPHSON'S METHOD IN FINDING ROOTS f(x) = ex²-2 + √√x + 2-3

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Q: Find the derivative of f(x) = = 30 6/4x+1 Enclose numerators and denominators in parentheses. For…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) Jx x5/2 In(x) dx

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Q: (2xy - x + 2y - 1) dx + (8x² y² -2x + 4xy² − x) dy = 0 -

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Q: Find the equation of the tangent line to the curve at the given point. \\ y = 1 + 2x − x³, (1, 2) y…

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Q: lim x-0 tan x - x .3 X

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Q: Which of the following is the normal line at the point (-1, 1, 1) to the surface x² – 2y² − 3 ² = −4…

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Q: "JS" f(x, y) dA by dividing the rectangle R with vertices (0, 0), (4, 0), (4,2), and (0, 2) into…

A: We need to find integral.

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = 8x-4xy+3y,…

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