Find three positive real numbers whose sum is 36 and whose product is a maximu Enter the three numbers separated by commas:

Q: Let A be a 2 x 2 square matrix such that 2 ^ (₁)-(₂), and 4 (²)-(3) A A 2 det(A). Hint: find the…

A: NOTE: Refresh your page if you can't see any equations. . it is given that

Q: Suppose a moving object in space has its velocity given by (t) = . Find fr(t)dt (don't include the…

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Q: Find the gradient field of the function, g(x,y,z) = e² - In (x² + 4y²). ¹= Di + i + Dk. The gradient…

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Q: f(u) -Using the u-substitution, u = x + 3, identify f such that the integral√x +3 dx, takes the form…

A: ∫xx+3dx

Q: (a) Rectangular equation: (b) Parametric equations: Rectangular equation: Parametric equations:…

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Q: Let f(x) = 7+ 2x². (a) Estimate the area under the graph of f, the x-axis, and the lines x = -1 and…

A: The given function fx=7+2x2 on the interval -1, 2. We have to find the left Riemann sum for n=3 and…

Q: Solve for the variable in each equation below. Gi (a) log(y 1) + log(y + 1) = log 8 -

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: O 1 O -|N 2 Let g(x) = 3x²-3x. At what value of x on the interval [0, 2] does g have a possible…

A: To find the value of x for which the given function has an absolute maximum

Q: The point x O is a regular singular point of the given differential equation. Find the equation for…

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Q: The region between the x-axis and the curve y x2' 1 ≤x≤2, with density g(x) 11 6

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Q: Suppose that the monthly marginal cost for firefighting portable water tanks is C'(x) = 2.5x + 115…

A: NOTE: Refresh your page if you can't see any equations. . the marginal cost function is

Q: Determine if the limit 4 x + 1 X lim x 0 exists, and if it does, find its value. 1. limit = 5 2.…

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Q: b ZA= ZB= ZC= с a B Let a = 1, b = 8 and c = 8. Find the measure of angles ZA, ZB and ZC. Give your…

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Q: Show that the given curve c(t) is a flow line of the given velocity vector field F(x, y, z). c(t) =…

A: We have to show the following conditions according to the given information

Q: Find the equation of the line passing through (-7, -4) and (-2, 5). Write your answer in slope-…

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Q: Find fo Select one: O a. O b. 0 с. √3x+1 O d. મકાન બૉિ da. Hint: use substitution.

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Q: 1 X. Xx4 + 4 +8 dx

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Q: а. lim (x,y) + (0,0) 2х* - зу 사 + Ч А

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Q: The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced…

A: The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced…

Q: ezy -x³y +4 x 9. find the directional derivative of f at the point (1, along the direction of the…

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Q: Find 3xe Select one: O a. O b. da. Hint: use substitution. (e-1) (1-√e) (1-e¹) ○ c. O d. (1-e)

A: ∫xndx=xn+1n+1+clet x2=t2xdx=dtwhen x=0, t=0when x=1,t=1

Q: Suppose that a particle moves along a straight line with acceleration defined by a(t) = t - 5/2 in…

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Q: Solve the quadratic equation below: 13p + 68 p² a. b. C. - 4 and - 17 - 4 and 17 4 and - 17 O

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Q: + 4 -1 -3 1dz = -2 given below. -1 2 -1+ Q the limit definition of the definite integral to…

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Q: Consider the function f(x) = 5x² - 6x +9, 0≤x≤9. The absolute maximum of f(x) (on the given…

A: ginen  f(x)=5x2-6x+9for critical points put f'(x)=0dxndx=nxn-1

Q: place ofitemonogirt vlotolamo le 115 +- 56° X 35°

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

Q: - Find a unit vector which is in the direction of (-4, 7).

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Q: Using identities to simplify completely trigonometric expression below :  tan x (csc x - sin x)…

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Q: Find the domain and range of y = log7(4 + 3x) + 12.

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Q: Problem Solving: Show all pertinent solutions and box all final answer. 1. Evaluate fx²√1 + x dx

A: use the substitution method to solve the integral.

Q: Find the domain of y = log(4 - 3x). The domain is: Ox≤ A Ox> A Ox ≥ A 0x<A where A = 3x X syntax…

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Q: 11 = 2 A 1 as the sum of a vectory in W and a vector z in W+. 2 and 1₂ = a -13]. b , find a, b, and…

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Q: 11. Suppose the population of a town is 23,000 people in 2010. Write an equation for the population…

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Q: Calculate the line integral F F. dr, where F = (3z — 1, -y — 2, 2x) and C is the boundary of a…

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Q: (b) Parametric equations: Rectangular equation: Parametric equations: y=2 sint X || y= 0 11/13x + 4…

A: Ques (a) Rectangular equation: x2+y2=4x2+2sint2=4x2=4-4sin2tx2=41-sin2tx=41-sin2tx=4(cos2tx=2cos(t)…

Q: Find the area of the shaded region y = x(x-4)² y = x

A: The region is bounded by the curves y=xx-42 and y=x. We have to find the area of the shaded region.

Q: The graph of f(y) = 7y² - 8y + 7 is given below. 1 1 2 (7y2-8y + 7) dy = = 3 4 5 the limit…

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Q: 19. Simplify the expression 52+log5 (2) completely.

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

A: we need to find out the local maxima, local minima, absolute maxima, absolute minima and inflection…

Q: Let F(t) = (vt - 5₁: ³/t-5, 3e¹, 13 S." r(t)dt = ( 3 ³4). E Evaluate the definite integral. t-4

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Q: . Expand and simplify the expression dada bile yd betwee (cos+isin)³ Express the answer in standard…

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Q: Find the indicated partial derivatives of: θω Ər dw მs dw Ət || || || w = √2r² +68² + 6t².

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Q: If a sequence C1, C2, C3, has limit K then the sequence e¹, has limit ek. Use this fact together…

A: Given sequence:- bn=n1.9n

Q: 22. If log(x) = -4, find the value of log(ar³).

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Q: The solution of the D.E. xdy - ydx = x² + y²dx is 2 a. y-√√x² + y² = cx² O (a). c. y+√√x² + y² + cx²…

A: Given: xdy-ydx=x2+y2dx

Q: 1. Find the slope of the tangent line to the graph r = 4 - cos 0 when 0 = . You may use the dy ƒ'(0)…

A: given curve is  r=4-cosθ then we have to find slope of tangent line to curve at point θ=π4 now ,…

Q: ze pu хе and Ze ле of ye"- 5 sin 32 32

A: Given query is to find indicated derivative.

Q: 15. Let f(x): = 4 e 1 and g(x)= 3x x + 5 Find the domain of (fg)(x).

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Q: late the limit algebraically. h² lim h→0 3h + 4h² OOOO answer does not exist, enter DNE If the limit…

A: Given query is to find indicated limit.

Q: Find the length of the curve. Give your answer correct to two decimal places. x = et + et y = 5 - 2t…

A: Given: x=et+e-t ; y=5-2t ; 0≤t≤4.We need to find he length of the curve.