3 tabler W y = JUN 13 MacBook Pro (A)

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Here we have to use the concept of derivatives

Q: The position function of a particle is given, in metres, as s(t)=t 4-10t 3+36t 2+10t+12 where t ≥0…

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Q: 1. By using the method of variation of parameters, solve the following differential equation d²y +9y…

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Q: 4) Find equations for the planes: b. The plane through (1.–1,3) parallel to the plane 3x+y+z=7

A: Given problem:- Find equations for the planes:   b. The plane through (1.-1,3) parallel to the plane…

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

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Q: Consider the function f (x) = x-3 x+3 (a) Find the domain of f(x). Note: Use the letter U for union.…

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Q: (b) (i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.) X = (ii)…

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Q: Given functions f(x)=√x + 13 and m(x) = interval notation. Domain of f(x) m(x) Domain of f(m(x)) :…

A: To find out the domain of the functions.

Q: Use Lagrange multipliers to find the shortest distance, d, from the point (1, 0, -2) to the plane x…

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Q: Consider the function f(x) = sin(4x). a. Determine f '(x). b. Determine f"(x). c. What is the…

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Q: six 3x sin B. Sin³ x + sinx+c Csix 3 x sinx D.six x + A B C

A: We will solve the problem

Q: Evaluate /1-(y-1)² by first changing it to polar coordinates. 219 dx dy

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Q: derivative. (a) lim (b) lim Ax→0 In(e¹ + Ax) - 4 Ax In w w 1 w 1 =

A: Using L hospital rule

Q: If G is an antiderivative of the function g, so the following integral is equal to what option? 1-26…

A: Given problem:-

Q: 7- cos y dx + (x siny - cos²y)dy = 0

A: Note: as per guidelines we support one question in one request . kindly repost next question in next…

Q: Q3/ Evaluate: ff(x+y) dy dx for the region bounded by the x=0, x=2, y = x and y = x + 2

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Q: Let x e N, with n ≥ 2 and a > 0 when applying integration by parts J= 1 = [(ax)" · . e da to the…

A: To find out the correct option.

Q: The length of a rectangle is given by 8t + 7 and its height is √t, where t is time in seconds and…

A: Here we have to use the concept of derivatives

Q: Find when y = cos(sin 2x). ay dx dy dx

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Q: Consider the function: sit > 5 f(t) = -{² 3t si 0 ≤ t ≤ 5 To calculate £ {f(t)} using definition you…

A: We have to find laplace of given function.

Q: Determine each of the following for the circle whose equation is ² The equation of the circle in…

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Q: Use the table of integrals to evaluate the integral. 6² 3saxav 53x³√4x² - x4 dx

A: To evaluate the integral.

Q: Y=t-2√√x + X Find domin and ringe

A: In this question, we want to know the domain and range of the given function.

Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

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Q: Let f and g continuous functions in that satisfy at the same time the following equalities : • [ (ƒ…

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Q: If y = ecos(x) then y" + sin(x) y' cos(x)= ***

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Q: Consider the function f(x) = (3x² − 4)(x² + 6). (a) Compute the derivative of f(x) by multiplying…

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Q: Evaluate the Σ Σ-20 (-7m +300)

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Q: (3 − |x|)dr is equal to L (3 (a) f( (3 - x) dx (b) [(3+z)dz (c) [²₁ (3 - x) dx + [² (3 + x) dx (d)…

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Q: S dt e2t 6-2e²t

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Q: 9. Find inverse Laplace: 1 es S

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Q: Which of the following gives the area of the region enclosed by the line y = -x − 1 and the parabola…

A: The simple diagram then horizontal strip...

Q: 14. Find the general solution of the given differential equation. 9y''+9y'-4y=0 topic: complex…

A: Given 9y''+9y'-4y=0To find general solution of D.E.

Q: 3. Which of the following is the most appropriate technique to use in evaluating (a) Integration…

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Q: consider the function f, such that f and f' are continuous for t ≥ 0 defined by: (27t-28 0<t<2 f(t)=…

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Q: ³√x²e²²\ Which of the following is the most appropriate technique to use in evaluating O Integration…

A: The given integral is x2e-x.

Q: Which of the following is correct in solving 20 2x√2 + x dx? (a) Substitution technique can be used…

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Q: 2e2x √1-e4x dx

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Q: a) Using the methods of (a) Gauss elimination and (b) Gauss-Jordan, solve the following system of…

A: Since you have asked multiple questions,as per our guidelines we are supposed to answer only one…

Q: Find the average rate of change of f(x) = 8x² − 4 on the interval [5, a]. Your answer will be an…

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Q: If x is measured in degrees and f(x) = cosx, then d f(x) = − sinx

A: To write that it is true or not.

Q: 8. Find the length of the curve r(t) = from t = 1 tot = 5. 9. Find the curvature of the curve r(t)…

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Q: (1 + 1 1 + In(x) + - X (x+y)ln(x) - 5y = c dx = (5-In(x)) dy

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Q: A number x is selected at random from the interval [4,20]. The probability density function for x is…

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Q: dy dx Using logarithmic differentiation, find NOTE: Express your answer in terms of x only. dy dx =…

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Q: Given `f(x)=1/(x-2)` and `g(x) = 4/(x-3)`, find the domain of `f(g(x))` Domain:

A: Given.

Q: Concentration of a Drug in the Bloodstream The concentration of a certain drug in a patient's…

A: Explanation of the answer is as follows

Q: - 2x - 4 if x 2 8 7 6 5 4 3 2 1 -8 -7 -6 -5 -4 -3 -2 -1 4 1 2 3 4 5 6 8 -2 -3 -4 -5 -6 -7 -8 Clear…

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Q: Which of the following gives the area of the region bounded below by y = sin(x), above by y =…

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Q: PROBLEM/SITUATION: 1.) Prove that the product xy of two real numbers x and y is nonnegative if and…

A: We have to prove that product xy of two real numbers x and y is non-negative if and only if the…