-8-521-7-2 ²1₁-7-2 3-25 95-16 + 8+65 45249

Q: Consider the equation x + 2a of the given equation? O O x= O x= P= 5a b 4 11a-b 4 b-11a 4 b-5a 4…

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Q: 78. Show that the following limit does not exist: xy³ lim (x,y) (0,0) (3x² + 2y³)²

A: Lim(x,y)-(0,0)xy3/(3x2+2y3)2.

Q: 1. Find the value/s of x of the curve y = 3 35x where y'=y"

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Q: Find the derivative of the function. 2(5x² + 6x) 73√√x y' = y =

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Q: Determine whether (a) through (c) are true, and give an explanation or counterexample. a. For linear…

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Q: If f(x) = ƒ'(x) = f'(5) = = √x - 3 √x + 3 3 find:

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Q: 4. The function f(x)=x²-x² - 2x + 1 has three zeros on the real line. For each of these zeros, find…

A: We have to locate all 3 real roots of f(x) = x3-x2-2x+1 on the real axis. Given f(x) is continuous…

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 9ti −…

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Q: f(x)-f(a) x-a a. Use the definition mtan = lim x→a a. mtan to find the slope of the line tangent to…

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Q: Jse any of these formula (an = 1/2 (a₁ + an ) or an = 1/2 [2a₁ + (n − 1)d] to solve for the sum of…

A: As per the guidelines I am supposed to do the first question among multiple questions, So here I am…

Q: Q3. Use the chain rule method to find dt If (z=x. y), where x = cos (t) and y=sin (t)

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Q: Q2. Determine the complete solution for the following differential equation: y"+y+0.25y=0 if y(x) =…

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Q: Q2. Determine the complete solution for the following differential equation: y"+y'+0.25y=0 if y(x) =…

A: y''+y'+0.25y=0 let y=emx y'=memx    ;   y''=m2emx…

Q: dx 4. S x ln x

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Q: Let y=e¯*(Acos(x) + Bsin(x)) be the solution of the initial value problem for the differential…

A: As 'y' is the solution of the differential equation , so it satisfied the given initial conditions.

Q: Find the indicated limit given that lim f(x) = 6 and lim g(x) = 3. x-a x→a lim 2f(x) + 5g(x) x→a

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Q: Find the derivative of f(x): = 5-√√/x 9 51% Type your answer without fractional or negative…

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Q: (5, 4) and 6 = ( − 7, 8). Compute the following vector projections. Let a = proja b proj; a =

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Q: For f(x) = √ (x^2 − 1) and g(x) = √( x − 3), determine the subset of the domain of g on which the…

A: For fx=x2-1 and gx=x-3, to determine the subset of the domain of g on which the composition f∘g is…

Q: Use the four-step process to find f'(x) and then find f'(2), f'(3), and f'(6). f(x) = 2x² - 9x+10…

A: Solution is given by

Q: Use the four-step process to find r'(x) and then find r'(1), r'(2), and r'(3). r(x)=8-4x² r'(x) =

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Q: 4. y= x+1 X

A: Note: Since the student has mentioned to solve only question no. (4), so we are solving accordingly…

Q: The height s (in feet) at time t (in seconds) of a silver dollar dropped from the top of a building…

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Q: Use any of these formula (an = 1/2 (a₁ + an ) or an = 1/2 [2a₁ + (n − 1)d] to solve for the sum of…

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Q: Consider the following. = a₁ 6₁ an + 1 = an + 6 Calculate, to four decimal places, the first eight…

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Q: 6. Solve logsx - log5 (x-16) = 1 for x.

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Q: Find the equation of the tangent line to the curve y=8sinx at the point (π/6,4). The equation of…

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Q: Find the derivative of f(x)= (428 + 22-1) ⁹.

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Q: The total cost (in dollars) of producing x food processors is C(x) = 2500 +90x-0.3x². (A) Find the…

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Q: Find the horizontal asymptotes of f(x) = 5x2 + 8x 4x² - 9 (Use symbolic notation and fractions where…

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Q: Q1. Find the general solution for the following differential equation: -y² (x²ex² - y²)dx + xydy=0

A: Solution is given below:

Q: Find the profit function if cost and revenue are given by C(x) = 173 +1.5x and R(x)=7x-0.02x². The…

A: Given; C(x)=173+1.5x R(x)=7x-0.02x2.

Q: 1. Find an equation for the set of points whose distance from the point (1, 2, 4) is the same as the…

A: Solution is done in step 2

Q: A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the…

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Q: Given that f(x) = 2x + 5 and g(x)= x² + 5, find: a) f(g(2))- b) g(f(2))- c) f(f(2))- d) g(g(2))-

A: We need to find composite function.

Q: 2. Use the different differentiation rules and formulas to determine the derivative of the following…

A: Derivative

Q: f(500) = f(1000) = (10000) = Graph f(x) using the graphing utility. f(x) = -10 &x+1 √4x +9 -5 y…

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Q: If ƒ(t) = (t² + 2t + 4) (7t² + 6), find ƒ´(t). Find f '(5).

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Q: Which of the following are/is the dependent variable/s of the differential equation. (choose all…

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Q: Find all possible ordinary points of the given differential equation. y"+y=0, -inf choices: Every…

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Q: The total cost (in dollars) of manufacturing x auto body frames is C(x)= 30,000+200x. (A) Find the…

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Q: If f(x) 4x + 2 3x + 3 find:

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Q: Y X arb 1.5 Lab Activity In BMX dirt bike racing, jumping high (or "getting air") depends on many…

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Q: 1. For the function y = 5x³ - 4x a. Determine the average rate of change between x₁ = 3 and x₂ = 5.…

A: For the function y=5x3-4xa To determine the avarage rate of change between x1=3 and x2=5.b To…

Q: Find the solution of the DE (cos(x) + xcos(t))dt + (sin(t) – tsin(x))dx = 0 a. tcos(x) + xsin(t) = c…

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Q: Q2/A: Find the Fourier Series of the function : f(x) = X + π_if - π< X < π and f(x+2n) = f(x)

A: Fourier series of a function is given by f(x)=a0+∑n=1∞ancosnπxM+bnsinnπxM    for -M≤x≤M.Where,…

Q: Find the limit of the following:  a) lim x→∞ (1 - x2 / x3 - x + 1) b) lim x→∞ (x - x√x / 2x3/2 +…

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Q: (B): use the directional derivative to estimate how much f(x, y) = cos(xy) + xy² Will change if the…

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Q: A small business can produce a maximum of 54 of its product per month and sell them for $ each. The…

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Q: 10. Integrate the Exp./Log. Function (integral calculus)

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