Find the x coordinates of the stationary points of the curve

Q: Q.2. For a certain type of tree, the diameter D (in feet) depends on the tree's age t (in years)…

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Q: A hot-air balloon is 110 ft above the ground when what is the rate of change of the distance between…

A: Given that , dxdt=44 ft/secdydt=15 ft/secdzdt=?

Q: Find the critical numbers of f(x) X = xe * Separate answers with a comma.

A: The given function is fx=x2ex

Q: Evaluate the following integral. S16 16 sin x sin 2x dx

A: Evaluate the integral  ∫16sin(x)sin(2x)dx

Q: (a) Solve the following differential equation dy x+√√xy

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: The weekly revenue realized by a company is approximated by the revenue function = R(x, y) 350x +…

A: Given,   The weekly revenue realized by a company is approximated by the revenue function R(x, y) =…

Q: In polar coordinates, we have the unit vectors in the direction of and normal to as e, = cos 07 +…

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Q: What is the area of the region between the curves y = -x² and y = -4 from x = -2 to x = 2? Select…

A: fx=y=-x2, gx=y=-4 a= 2  b = -2

Q: Q.1. A radioactive substance decays in such a way that the amount of mass remaining after t 0.011t…

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Q: g... find the absolute maximum Values of the function over the indicated interval and indicate the…

A: f(x)=4-5x-3x2 ;[-3,1]

Q: 8.3.15 Find and plot a particular solution of the following ODES and give all details for the…

A: We need to solve D.E. General solution of such D.E are sum of complimentary and particular solution.…

Q: Let f(x) = 12-x² The slope of the tangent line to the graph of f(x) at the point (-3,3) is The…

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Q: Find the equation of the vertical asymptote(s) of the function f(x)= 3 x +4 Ox=+√/2 O O f(x) has no…

A: The given function is;  f(x)=3/(x2+4)

Q: Given f(x) = 2x² - 1 and g(x) = 6 - 6-12x²2 find the following expressions. (a) (fog)(4) (b)…

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Q: A doctor used an IV calibrated to deliver 50+t ml per minute of medication to a patient over a…

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Q: Consider the following. √² (6-5) 5x) dx (a) Find an approximation to the integral using a Riemann…

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Q: Evaluate 。 2 48 • dA,R: 0s x ≤ 1, 9 ≤ y ≤ 16

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Q: tan(x) dx

A: We find integration of tan(x) in form of sine and cosine.

Q: Change the Cartesian integral to an equivalent polar integral, and then evaluate. 13 169-x2 S -13 0…

A: I = ∫-1313∫0169 - x2dydx The given integral represents the area covered between the intervals, 0 ≤ y…

Q: If the region under the graph of y = x² + from 1 to x = 5 is rotated about the x-axis, - then the…

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Q: Work Problem 1 a) Sketch the region S enclosed by the curves y=x²-3x and y = 2x - 6. b) Find the…

A: NOTE: Refresh your page if you can't see any equations. . the given equations are

Q: + x² − 5e³, find ƒ'(x). If ƒ(x) = 4eª + x² 4eª

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Q: 1+x 1+x² dx

A: We are required to find: ∫1+x1+x2dx

Q: k+1 For f(x) = = 2x of k if the average value of f(x) over the interval [1, e] equals to 1 is:…

A: Given, the function is fx=k+12xcontinuous on [1,e], and the average value is 1.

Q: The table below shows values from the function f(x) = bº. Identify b.

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Q: Convert the value (10111011010001011101)2 to Base 10 using the equation method

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Q: 800 marketing group determines that the demand equation for a barstool can be modeled by p =- 0.4 9…

A: NOTE: Refresh your page if you can't see any equations. . the given demand function is  where p is…

Q: .Evaluate the integral of (3x +9y) dx dy if the interior limits has an upper limit of y and a lower…

A: Let's consider the integral as given below: I=∫ab∫cdf(x,y)dxdy---1 Where f(x,y) is function of two…

Q: Use the Fundamental Theorem of Calculus to find the "area under the curve" of - x² + 7x between x =…

A: The region is bounded by the curve  -x2+7x between x=2 to x=5

Q: Solve for x: 53x+6 X = = 625

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Q: sin(49t) sec²(cos(49t)) dt

A: given integration :-∫sin(49t)sec2cos(49t)dtthen we have to evaluate it

Q: a) If x < 8, then x − 3 ? 5. (b) If x ≤ 8, then 3x ? 24. (c) If x ≥ 3, then −3x ? −9. (d) If x <…

A: When the inequality is multiplied by a negative number, the sign of inequality changes.

Q: If the region under the graph of y = √√√x+2 from x = 0 to x = 1 is rotated about the x-axis, then…

A: Consider the curves y = x+2 0 ≤ x ≤ 1 Rotate about the x-axis.

Q: Consider the definite integral π/2 cos(z) 1715 (z) Sin 7/5 The most appropriate substitution to…

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Q: Of(x) = 2x³-11x² +17x-6 O f(x) = 2x³ + 11x² +17x+6 O f(x) = 2x³ + 5x + 2x O f(x) = 2x³ + 5x - 2x

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Q: Evaluate A. 2/3 B. 4/3 */2 12 000 C. 1/3 D. 5/3 [zdz r²dr sinu du.

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Q: Find the unit tangent vector of the given curve. r(1) - [3 cost)i + (3 un 13- T-(-∞ 12tk ¹) + (-¹)}…

A: To find the unit tangent vector of the given curve, we need to take the first derivative of the…

Q: A toy wagon is pulled by exerting a force of 40 pounds on a handle that makes a 40° angle with the…

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Q: C. D. y sin2y +C 4 4 y+sin 2y + C -Integrate the square root of (1 - cosx) dx_ -2√² cos=1/x + C A.…

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Q: The general term of the sequence -1 1 -1 1 3 4'5 is Select one: O True O False 1, An 2 = (-1)" n "…

A: We have to find the sequence by using the general term. The general term is given by…

Q: Find the inverse Laplace transform. 53+5

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Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 300 + 800t 120t², where t is…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) [(u² - 346 - U² + ·…

A: Given integral  ∫( u7 - 3u6 - u4 + 63 )du Formula used  ∫xndx = xn+1n+1 + C

Q: #23) y'(x) = 4 tan 2x-3 los x Saj (x) dx = S 4 tom 2x - 3 los x dx 3(x) = 4 S sin 2x dx - S3 losx.…

A: Here your answer is,-2lncos2x-3sinx+Cand the answer given in the book is,2lnsec2x-3sinx+C Here both…

Q: Find dy dx y [A] ₁-2y 1-e²y [B] y+1 1-2e²y [C] e²y + x = y 1 1-2e²y [D] y-1 1+2y [E] 1 Ti 1-ey

A: We can use the concept of implicit differentiation Given function e2y + x = y

Q: Use the product-to-sum identities to rewrite the following expression as a sum or difference. 4cos…

A: let   A=4cos(105°)cos(105°)

Q: The revenue from the sale of a commercial vechicles is given by R = 65500x +52400(12+2x)¹ - 6000…

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Q: Use the given acceleration function and initial conditions to find the velocity vector v(t), and…

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Q: 4. Evaluate and x² + y² ≤ 2. dA where R is the region in the xy-plane for which x 21 (x² + 3²)² R

A: The given integral is: ∫∫R1x2+y22dAwhere R is the region in xy plane for which x≥1 and x2+y2≤2.

Q: 7) By graphing both expressions, approximate the solution to; x² = ex

A: By graphing both expressions, approximate the solution to; x2= ex