Q3/ Use the l'Hopital's rule to find the limits x-8x² x→∞ 12x²+5x 2) lim

Q: Solve the problem. The cost of manufacturing a particular videotape is c(x) = 10,000+ 12x, where x…

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Q: f(x, y) S (y + 2x²)² x² + y² 0 lim Show that (x,y) (0,0) si (x, y) = (0,0) si (x, y) = (0,0). f (x,…

A: Given function : f(x,y)=(y+2x2)2x4+y2    for (x,y)≠(0,0)0                    for (x,y)=(0,0)

Q: if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist, or "oo" or "-oo"…

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Q: 4. A boat is pushed off from a beach at 2m/sec. A man on shore holds a rope, tied to the boat, at a…

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Q: You are given the following function. f(b) = b + √b (a) Find the derivative of the function using…

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Q: Let f(x) = x - x³. (a) Find the slope of the tangent line to the graph of f at the point (1, 0)…

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Q: Use row reduction to show that a a 1 6% 1 с = 62 2 (b − a)(c − a)(c — b)

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Q: Ja 3 JU 3. If B = f(x)-2g(x), then B'(0) = ?

A: Given, B=f(x)-2g(x)

Q: Find the length of the curve. 8(1) - (48, 1², 12³). r(t) = Osts 1

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Q: Consider the function Which of the following gives the percentage rate of change P? Select the…

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Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

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Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 ↑em

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Q: Verify if the following DEs are homogeneous, if it is determine its degree and solve the DE 4.xdy…

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Q: 201 559 You are allowed to use a graphing calculator for #5 Which of the following is an equation of…

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Q: find the values of k for which the matrix A is invertible

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Q: CLASSIFICATION OF DIFFERENTIAL EQUATIONS Classify each of the following differential equations by…

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Q: The graph below is the function f(x) -5-4 2 03 Find lim 24-1- Find lim z→-1+ da 14 Find lim 24-1 23…

A: According to the graph

Q: Find an equation for the line tangent to the curve y =(√x - 9)(x5 + 8) at x = 1. y =

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Q: Use the graph of the function f shown to estimate the following limits and the function value.…

A: We can solve it as follows.

Q: The interval [0,0] is closed. O True O False

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Q: 1. Use separation of variables to find an explicit form of the solution to the following ODES. Do…

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Q: Express the integral in terms of the variable u, but do not evaluate it. 1 e7x-6 dx; u = 7x - 6…

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Q: In a certain city the temperature (in °F) t hours after 9 a.m. was modeled by the function T(t) =…

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Q: Solve (a) (x+2y) dx + (2x - 5y) dy = 0 (0)

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Q: хр (DZUIS-(x87 sex =h П ћp pul

A: We can find the required answer in the below steps.

Q: evaluate the determinant, given that a b de c e f h i 9 '|| -6

A: We know that if all element of any row is added to the corresponding element of any other row then…

Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: Given h(x) = -2x² + x + 1, find the absolute maximum value over the interval [-3, 3]. Write your…

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Q: (dy/dx) + 2y = sin2x First-class homogeneous DE Second degree homogeneous O DE second order DE…

A: Given differential equation has function of x only on right hand side.  So, it is heterogeneous…

Q: FOCUS ON 1. Use the graph of y = f(x) in the accompanying figure to estimate the value of f'(1),…

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Q: Write the Cayley table for the group U(15).

A: As per the instruction, we will be answering the first one.

Q: Consider the following given function and given interval. g(x) = (x + 2)3,   [0, 2] (a) Find the…

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Q: -10 10 Provide your answer below: 8 6 4 2 46- -8 10 6 8 →x 10 What are the x-coordinates of the…

A: We can find the answers as below.

Q: Find the limit: √√-8 lim 2-64 64 Give your answer to at least three decimal places: Submit Question…

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Q: Use the graph of the function to state the value of lim f(x), if it exists. x-0 f(x) = x² + x 3√x³ +…

A: To find out that the limit of the given function at x=0 exist or not.

Q: Evaluate lim h→0 cot(+h)-1 h

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Q: Determine the rate of change of the function g(x, y) = y² tan(x − 2y + 4) 2) in the direction of the…

A: We need to find rate of change.

Q: Oil spilled from a ruptured tanker spreads in a circle whose area mi² increases at a constant rate…

A: Using differentiation

Q: How would you define f(6) in order to make f continuous at 6? f(x) = x²-3x-18 x-6

A: The given function fx=x2-3x-18x-6 we have to find the value of f6, so that f is continuous at x=6

Q: Find the limit. lim x →→∞ - 9x² - 8 8x² +3

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Q: The number N of US cellular phone subscribers (in millions) by year (t) is shown in the table.…

A: As per guidelines we can solve only one question at a time and maximum three subpart at a time, so…

Q: Solve (d) de sete + 2y cot = csc .

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Q: - given that 2 = 2x + 4y, x = 3 y = 1, and dx dt = 6

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Q: 9-20 Compute the differential dz or dw of the function. -1 13. z = tan xy

A: To compute dz of the following function: z=tan-1xy

Q: Use the graph of the function f shown to estimate the indicated quantities to the nearest integer.…

A: Given graph we have to find different limits.

Q: 3. By y = definition, find the derivative 2x 3x + 4

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Q: 5. y = log₂ (sin x) 5. y = sec(In x)

A: Topic = Derivative

Q: 2x + [2x] ate lim x+ 2+ x²+x-2 and lim x+ 2 2x + [2x] x²+x-2

A: Topic:- calculus

Q: Given [(x³ - 3x¹ + 6x³ + 3)dx, evaluate the indefinite integral. Provide your answer below:

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Q: 3.2 ff (u x + y)² dx dy Ő

A: When integrating with one variable the other variable is treated as a constant. When the limits of…