Find the centroid of the triangular region cut from the third quadrant by the line x + y = -1. What are the coordinates of the centroid? The centroid is the point (Type an ordered pair using integers or fractions.) example Get more help.

Q: Use the given zero to find the remaining zeros of the function. f(x) = x4 - 21x² - 100; zero: -2i X…

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Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

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Q: What is the probability that a number selected at random from the first 1,000 positive integers is…

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Q: Find three numbers whose sum is 24 and whose sum of squares is a minimum.

A: Let three numbers are x,y,z

Q: Evaluate the integral. π/2 9 cos5(x) dx

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Q: Determine whether the following function y = C₁x + c₂x³ + 2x² ex-2xe* is a solution to the…

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Q: Use linear approximation, i.e. the tangent line, to approximate 4.86³ as follows: Let f(x) = 2³. The…

A: f(x)=x3given x=5d dx(xn)=nxn-1

Q: where did you get the 62.4?

A: In a pool filled with water to a depth of 10 ft, calculate the fluid force on one side of a 3 ft by…

Q: Find by implicit differentiation. dy dx (10x + 3K)1/3 - 2

A: Given query is to find derivative.

Q: The percentage of the US population that lived in multi-generational households2 is well-modeled by…

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Q: Use a graph to determine whether the given function is continuous on its domain. HINT [See Example…

A: The given function  fx=x+1if x<02x-8if x≥0. We have to sketch the graph of the function and check…

Q: 8) Expand the following binomial expression: (x² - 3)4.

A: o expand the binomial expression (x² - 3)^4, we can use the binomial theorem which states that: (a +…

Q: 19. z = ln(x + t²) 21. f(x, y) = X == 23. f(x, y) = y ax + by cx + dy 25. g(u, v) = (u²v – v³)5 20.…

A: 19.

Q: You deposit $1500 in an account with 3% annual compound interest. Complete the following, assuming…

A: Formula used for the compound interest A = P( 1 + R100 )tGivenP = 1500R = 3% t = ? dAdt = 170

Q: x^2y"-5x'+9y=0  y'(0)=y(0)=0 Solve this DE

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Q: Four thousand raffle tickets are sold at $5 each for a local charity benefit. Prizes are awarded as…

A: Given Data : Four thousands raffle tickets are sold at $5 each. Prizes are awarded as : two prizes…

Q: sum of an infinite series is given by S= 25/(1+3/4) What is the common ratio of this series? A. 25…

A: Given query is to find common ratio.

Q: Find the area of the region R defined by R {(x,y) : x ≥ −2, 0 ≤ y ≤ e¯¹/3}

A: Here we have to find the area of the region.

Q: Consider the following functions. Step 2 of 4: Find (f - g)(1). Answer How to enter your answer…

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Q: Consider the indefinite integral Then the integrand decomposes into the form с d ax + b + where a =…

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Q: Evaluate the integral. 2 Leve-1α dt

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Q: Evaluate the integral. √√49-1² dt

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Q: 43. f(x, y, z) = In 1-√√x² + y² + z² X 1 + 2 2 x² + y² + z² √x fy(1, 2, 2)

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Q: Seatwork For YP f(x)= x² 8x y = C₁ e ³x + Recall: a+bx+cx² + 6 Yp= A + Bx + Cx²+.. p= A + Bx + Cx² +…

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Q: Ana and Beverly, produce the same product on identical machines. Ana receives $25 per hour and…

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Q: 2. Evaluate dy and Ay for f(x) = 30 + 12 x²-x³ at at x = 2, and dx = Ax = 0.1

A: f(x)=30+12x2-x3dy=f'(x)dx∆y=f(x+∆x)-f(x)d dx(xn)=nxn-1d dx(constant)=0

Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula. 1- cos(20°) (a) 2…

A: (a)  J=1-cos(20°)2we know  sin(A2)=1-cosA2

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y =…

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Q: Express the integrand as a sum of partial fractions. x² 2 1 1 1 + -1 2(x²+1) 4(x+1) − 4(x − 1)…

A: Given query is to find the integral.

Q: Question 11 Give the form of a particular solution of a) Oz-Are +Be+Cx com(3x) +Dxsm(3x)+8 b)…

A: As per our guidelines we can answer only one question so kindly repost the remaining questions…

Q: Exercise 2: Injective and surjective functions Decide if the following functions are injective…

A: The function h=g | [1/2 , 1] means that the function h(x) is equal to the function g(x) for all x in…

Q: UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. SOLVE IN 2 DECIMAL PLACES. BOX…

A: We have given function  fx=xe2x Differentiating function with respect to x f'x=ddxfx f'x=ddx(xe2x)…

Q: Evaluate the integral: -28 √7² √² + 100 dx

A: Here we have to find the integration.

Q: Find the least common multiple of each of these pair of integers. 25.31.52 and 23.32.53

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Q: Find the equation for the tangent plane and the normal line at the point Po(2,1,2) on the surface…

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Q: Find the absolute maximum and minimum of the function on the given domain. f(x,y) = 2x² + y² on the…

A: Given that , fx,y=2x2+y2 and x=0 , y=0 , y+2x=2 find the absolute maximum and minimum of the…

Q: For the equation given below, evaluate dy dx at (1, ²) = dy dx at the point (1,1). Y x - 6y = x³ - 3

A: yx-9y=x3-3(1,211)d dx(xn)=nxn-1

Q: Let R be the region bounded by y = x², x = 1, and y = 0. Use Cylindrical Shells method to find the…

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Q: Evaluate the double integral by first identifying it as the volume of a solid. √ √ (6 − x) dA, R = {…

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Q: Suppose f(x) = 7x²+5x. Find: ƒ'(1) =

A: Given: f(x) = 7x2+5x

Q: C(x) Find the average cost function C. C(x) = = 1,400 + 7x -0.0002x² (0 ≤x≤ 6,000) Find the marginal…

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

Q: 41. y" + 4y = g(x), y(0) = 1, y'(0) = 2, 0≤x≤ π/2 x > TT/2 g(x) senx, 0,

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Q: a) Are any of the planes parallel? Justify your answer. b) Determine if the normals are coplanar.…

A: Given      normal vector ( 2 , -2 , 2 )   normal vector ( 4 , -5 , 8 )   normal vector ( 1 , -1…

Q: Use the graph of the function y = f(x) to find the given values, if possible. Estimate when…

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Q: dN A city has a population of 25,000 in 2010 and the expected growth rate is 3.5% per year, that is…

A: Given differnetial equation:- dNdt=0.035N

Q: Find the maximum of f(x,y) = 3y2 + 5xy - 3x2

A: According to question,Given Function,f(x,y) = 3y2 + 5xy - 3x2

Q: c) y= (3x²-5)³√√√√ √√x+1 y=x+√x² + √x²= - -x ✓✓✓✓ d) 2x+ 2x-1 0.² T

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Q: The linear density of a rod of length 4 m is given by p(x) = 5+15√x measured in kilograms per meter,…

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Q: Evaluate the integral: (A) Which trig substitution is correct for this integral? 7 Ox= = O x = x =…

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Q: 4x Graph the set of points whose polar coordinates satisfy the equation 0 = Choose the graph that…

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