Determine if the ff function is of exponential order: show solution 1. t^3 sin2t

Q: ам Given the D.E. (3x²+2y²) dx + (4xy + 6y²) dy, its av and ƏN dr are both equal to while the…

A: see below the answer and calculation

Q: П Find the length of the curve y = In (2 sec x) from 0≤x≤6 Set up the integral that gives the length…

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Q: Which of the following are anti-derivatives of y' = sin æcosx ? I. F(x) = sin² ² + C II. F(x) =…

A: Topic = Integration I and III only correct

Q: The weekly demand for Math Wars - The Force Multiplies video games is given by Р 420 x - 6 +4000…

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Q: 3. Find the derivative of each function. Use proper notation, and simplify your answers. Thi…

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Q: Below are the graphs of 6 functions A-F. There are also graphs of 5 derivative functions 1-5. Match…

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Q: 2. Find the Inverse Laplace Transform of the following: b. L-¹{2+15+13)

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Q: Solve the ODE d²c dt² dc +4 = -2C dt at C(0)= dc dt = 1

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: y=(2+x)2(1-x)3

Q: 2. (6x+y²) dx + (2xy-3y²) dy =o

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Q: For each of the following functions f(x) (x E R²), describe the sets V₁ ≥ 4 = { x | f(x) ≥ 4 } and…

A: A function is called convex if its double derivative is positive OR any line formed by joining any…

Q: Evaluate fi f(x) dx if f(x) = 06 O 12 O 14 08 (2x x-1 if x ≤ 3 if x > 3

A: We need to choose correct option.

Q: 7. Determine all value(s) of the constant k so that the planes x+2y+3z = 4 and 3x + (k²+2)y+(7-k) z…

A: We need to find values of k.

Q: A particle is moving in a straight line with velocity given by v=2e-1 for 014 where v is in ms and…

A: A particle is moving in a straight line with velocity given by        v=2e-t2-1    for  0≤t≤4where,…

Q: F(x)= x³-2x² 3 2x Manipulate the function algebraically and differentiate without using the quotient…

A: Topic = Derivative

Q: 12 лухари у-х2-2х-я сил не 2x-9 and the tangent to the wave curve at the point whose X- coordinate…

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Q: Find the linear approximation of f(x)=√x when x = -27.

A: Linear approximation is an approximation of a general function using a linear function. It is useful…

Q: limx→6(x+4)2(3x−2) Evaluate the limit , thank you

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Q: 2. (6x+y²) dx + (2xy-3y²) dy

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT PLEASE Derive the following functions 50. y=- 52. y=- 2-3x 5…

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Q: дz Use implicit differentiation to find and 3, Əy дz ?х

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Q: 3. Find the derivative of each function by using the limit definition of the derivative! a) f (x) =…

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Q: C(x) = 6x³ 30x² + 80x + 1600 where x denotes the number of thousands of televisions produced in a…

A: Given query is to find average cost and marginal average cost.

Q: 2014 O ०.२ ०.०२ 0.02 0.08 0.4 0.6 0.16 0.8 1.0 ।.२ 1.4 0.98 or 0.32 0.5 0.72

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Q: Consider the function Compute fx(1, 2) and f,(1, 2) f(x, y) = 3x²y + 5x²y²

A: Given, f(x,y)=3x2y4+5x2y2

Q: 89. y √3+ Vy 1- √5 3 √r + √2 5 95. Vx² + 1 - x 91. 91-96 Rationalize Numerator Rationalize the…

A: 94) [sqrt(x)-sqrt(x+h)]/[h sqrt(x) sqrt(x+h)].   95) sqrt(x2+1) -x 96) sqrt(x+1) - sqrt(x).

Q: A certain bacteria culture is known to grown at a rate proportional to the number of bacteria…

A: Let Persent number of bacteria =x Rate of grown number of bacteria=dxdt

Q: if f(x)=x^3-16x a) find the domain and range of f b) state approx the open intervals on which f is…

A: For a)

Q: If f ( x ) is a linear function, f ( − 2 ) = 0 , and f ( 3 ) = 2 , find an equation for f ( x )

A: We have, f-2 = 0f3 = 2 To determine: The expression of fx if it is a linear function.

Q: Using the following graph of the function f, evaluate the limits (a) through (i). Q Ay Q (a) Select…

A: Topic: Limit and Continuity     The answer is given below:

Q: Using the four-step procedure in finding the derivative of O O -6 (√2x+2Ax+1)(√2+1)…

A: Topic = Derivative

Q: Find f''(x). f(x) = (x² + 2) f''(x) =

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Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved…

A: The objective of the question is determine volume of the given bounded curve.

Q: Given two differentiable functions fand g, the derivative of the function f(x) - g(x) can be…

A: Given:- f and g are two differentiable functions

Q: 9. A company's cost function is C (x) a) Find the average cost function AC(x). 5x + 100 dollars,…

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Q: dy Find when y= dx (a) (c) ax² √bx+c abx² + 4acx (bx + c) √bx + c 3bx² - ax (bx + c) √bx+c :, where…

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Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved…

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Q: 2. Find the equation of the curve whose slope at any point *-2 and 3-y passes through (-1, 1).

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Q: y = tan-¹(7x)

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Q: Where did the -1/3 come from? Is it because the 3 is the nth root and the 1 is the one inside the…

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Q: The equation P=15sin(2πt)+90 models the blood pressure, P, where tt represents time in seconds.…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: Evaluate the integral. (Use C for the constant of integration.) [√ cos(6) sin³ (8) de

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Q: The region bounded by the curves y²= 8x and 2y = x ³ is revolved about the line y=-1. Find the…

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Q: Solve the following for C. (Assume that C > 0) C (4x+8) dx 0 C = = 90

A: Given query is to find the value of C.

Q: The daily cost (in dollars) of producing LG ultra high definition televisions is given by C(x) =…

A: We have that, The daily cost (in dollars) of producing LG ultra high definition televisions is given…

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Solution

Q: 1. A balloon is released from the ground 30 feet from an observer. The balloon rises directly upward…

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Q: UPVOTE

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Q: Let f(x) be a continuous even function, and g(x) be a continuous odd function. Suppose that:…

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