A particle moves along the x-axis so that at time t > 0 its position is given by x(t) = t* - 24t2. Determine all intervals when the speed of the particle is %3D increasing.

Q: 8. Determine the general solution of the the differential equation: (x + y)dy = (x – y)dx | (a) x2 –...

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Q: The system of equations has a solution set: X1 - Xz - 2x4 = -9.1 X2 + 2x3 + 3x4 = 10.1

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Q: Determine the focus and directrix of the parabola with the given equation. Sketch the graph, indicat...

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Q: find dy dx 15 In 4+ xe) 6

A: dlnax+bdx = a.1ax+b.

Q: 8 6. Evaluate E n(3 + 2n + n2) n = 1

A: ∑18 n(3 + 2n + n2 ) if n =1 1(3 +2 +1) = 6 if n=2 2(3 + 4 +4) =22 n =3 3(3 + 6 +9) = 54 n =4 4(3 + 8...

Q: Find the equation of the curve at every point of which the tangent line has a slope of 4.r. (a) (h) ...

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Q: Use the following function to answer the problems below. S(+) = f(r) = (x + 2)² (a) Find the vertica...

A: The point at which the graph of the function changes its direction that is from concave upward to co...

Q: Why are both the x-coordinate and the y-coordinate generally needed to find the slope of the tangent...

A: Given,           The x-coordinate anf y-coordinate generally needed to find the slope of the tangent...

Q: 5. Which of the following equations is not a variable separable? dy (a) y – 3 xy – 2x + 4y – 8 dy XY...

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Q: Given y = yu and u = sin x, find dy/dx = f' (g (x)) g' (x). Select one: cos z 2/sin a 1 tan x sin r ...

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Q: Given Cost and Revenue functions C(q) = q° - 8q +56q + 5000 and R(q) = - 3q +2400q, what quantity mi...

A: Please see the below picture for detailed solution. 

Q: d. On what interval(s) of x is ƒ(x) decreasing? Preview e. On what interval(s) of x is f concave up?...

A: solution:-(d) f(x) is decreasing in the interval x∈-0.5, ∞(e)f(x) is concave up in the interval =DNE

Q: 3. Find the value of the directional derivative at the particular point Po for the given function in...

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Q: Part 8. Integration by Parts 8.1 ſy'(a²- y')i dy

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Q: DETERMINE IF THE FOLLOWING FUNCTION IS CONTINUOUS AT THE GIVEN VALUES OF X.  f(x) = 1/x^2 - 9  a. ...

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Q: d²y if 2x2 + 5y² = 9. Find %3D dx2 Provide your answer below: -口 dy dx2

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Q: Write a polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial with ...

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Q: State where the power series is centered. Σ (-1)"(x – 47)6n (6n)! n = 0

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Q: An angle that has its terminal side lying along an x or y-axis is called a quadrantal angle. Which o...

A: Note: Here there are two separate questions, according to policy of our company we will solve the fi...

Q: 2. The equation y? = cr is the general solution of which of the following differential equa- tion? 2...

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Q: Find the area enclosed by the following parametric curves and the y – axis. Find its exact area, no ...

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Q: below. II imit does not exist or the functi1on is undefined, write DNE. бл3 + 10а? a. Consider h(x) ...

A:

Q: Given: (Express answer as a fraction. Use the "/" key for the fraction bar.) В 2 30° V3 A C sin B= 1...

A: SinB =AC/AB

Q: An auto weighing 2,500 pounds is on a street inclined at 10° with the horizontal. Find the force nec...

A: Find your answer below 

Q: Which of the following is a differential equation with homogeneous coefficient? (a) (v² – V² + y² ) ...

A: Concept: If we replace cofficent of differential equation with k time if both are same then it's hav...

Q: 3. Evaluate ". a, Inutc b. In u C. Inx+c

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Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. x = In(2t...

A: Given query is to find the equation in rectangular form.

Q: Use the remainder theorem to determine if the given number c is a zero of the polynomial. S4) = 3x+6...

A: We have to use th remainder theorem to determine if the given number c is a zero of the polynomial  ...

Q: Given cost function C(q) = q° - 130q + 2600q, what quantity minimizes average cost? A It would be L ...

A: Given that cq=q3-130q2+2600qTo minimize Average cost dcqdq=0

Q: An airplane traveling horizontally at 110 m/s over flat ground at an elevation of 5,000 meters must ...

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Q: Differential Equation problem: A thermometer is taken from a room with an 70° F temperature and pla...

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Q: ly = In (sin (50)) find dy 14

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Q: tan' sec? 그dr 26. 28. 7 dr - 10

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Q: 8. Determine the general solution of the the differential equation: (r + y)dy = (x - y)dr (a) r? - 2...

A: As per Bartleby guideline, we have answered only the first complete question. If you want to get the...

Q: Given f (x) = 1- 1 / (x + 2)² Find : f(-x)

A:

Q: 6. According to Newton?s Law of Cooling, the rate at which a substance cools in air is directly prop...

A: Find your answer below 

Q: c. Suppose Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's p...

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Q: Write the first five terms of the sequence: {Vn² +n – n}n=I +o0 Determine whether the sequence conve...

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Q: vii. lim g(x) x→-1 Preview viii. g( – 1) Preview ix. lim g(x) x→00 Preview

A: The given function is; g(x)=-5x3+5x2+8.

Q: Given cost and price (demand) functions C(q) = 120g + 42,000 and p(g) = - 1.9q + 870, what is the ma...

A: Given that cost and price functions are       C(q) = 120q + 42000 and p(q) = -1.9q+870

Q: Answer the question below: A gift from an organization is wrapped in a box provided that the sum of ...

A: This is the problem of maxima and minima of the function. By using lagrange multipliers we will solv...

Q: Find each limit ) li sinh) O li x→o+ ( - ex -I 3 li ×→マ 4 li ( Inx)' ×→や x³+8 Xtる lin x→ -2

A: First we take logarithm on both side then using l hospitality rule. 

Q: given Fixsy) = (I-x3_y3)3 what is

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Q: a. Determine the average rate of change (AROC) of h with respect to v over the following intervals: ...

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Q: Determine the derivative of f(x) = 3 x2 In x with respect to x. f '(x) :

A: We differentiate both sides with respect to x and apply the rule d/dx(uv)=ud/dx(v)+vd/dx(u)

Q: Find [(dy)/(dx)] if the curve is defined by 7 x² e7 Y + 6 y2 e2 x = 16. %3D [(dy)/(dx)]

A: Given:     7x2 e7y + 6y2e2x = 16

Q: Find the midpoint of the line segment with the given endpoints (-7,- 1)and (- 3,- 2) The midpoint is...

A: The midpoint of the line segment with the endpoints (x1,y1) & (x2,y2)is given by: x1+x22,y1+y22 

Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the...

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Q: Given the the parametric curve Į æ(t) = ecost y(t) = t³ – 243t

A:

Q: If y = 9csc²-x 3 O -18 csc2> 3 -6 csc²}x• 3

A: Given: y=9csc213x