Find two positive numbers satisfying the given requirements. The product is 182 and the sum is a minimum. (smaller value) (larger value)

Q: Using the Factor Theorem, which polynomial function has the zeros 5 and 4-5/? Ox²-9x-5x + 25/+20…

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Q: Which of the following grapins represents (x2}? + y + 47 = 25? - d 7 - 4 41 층 4 $ 4 2 .

A: The given equation is: x-22+y+42=25 First, draw the graph of the given equation.

Q: Which of the following graphs represents (x + 1)² = 8(y - 3)?

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Q: Type the left side of the equation of the ellipse. Which graph shown below is the graph of the…

A: Topic:- geometry

Q: Use the Divergence Theorem to evaluate F. ÑdS where F(x, y, z)=x²i +2y²j+z²k S and the surface S is…

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Q: y = √√x S 0 10 5t cos (¹0) de dt

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Q: A function is given below. Determine the average rate of change of the function between t = 6 and t…

A: The objective is to determine the average rate of change for the function.

Q: 19. f(x)=x²-5

A: Topic = Functions As per guidelines , At a time only one question can be answered out of different…

Q: Proor: Let † and g be one-to-one functions. a) Prove that (a) fog is one-to-one b) Prove that (b) (ƒ…

A: We will prove this using the concept of one to on

Q: 1 4. fv³ (a²-v²) dv

A: Given problem:- ∫v3a2-v212dv

Q: Evaluate the double integral (x² + 2y) dA, where D is bounded by y = x, y = x³, and x ≥ 0.

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Q: Graph the curve whose parametric equations are given and show its orientation. Find the rectangular…

A: To plot the graph of the curve with the given parametric equation, first  find the x and y values…

Q: What is the slope of a line that is perpendicular to y = 3x + 1? -1/3 -3 3 1/3

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Q: A hiker on the Appalachian Trail planned to increase the distance covered by 10% each day. After 7…

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Q: Find the maximum value of the parabola using the following equation: f(x)=-x^2+4x+3

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Q: Find the equation of the tangent plane to z = ln(x³ + 1) + y³ at the point (0,6,216).

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Q: The average value, f, of a function, f, at points of the space region is defined as f=¹ f dv, Ω…

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Q: Determine whether the following series converges. k 11k 5+1 Σ (-1)k+1. k=1 Let ak 20 represent the…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Which of the following shows the expansion of 2-5n? n-0 O(-18) + (-13) + (−8) + (−3) + 0 O(-3) +…

A: To find the expansion of the given expression, substitute n=0,1,2,3,4 in the given expression.

Q: Solve the following differential equations by using appropriate method or substitutions. 1) y' -…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Problem 3. Match the functions with their graphs. 1. f(x) = cos(x) 2. f(x) = sin(x) 3. f(x) =tan(x)…

A: To match the given functions with the given graphs.

Q: ← A searchlight is shaped like a paraboloid of revolution. If the light source is located 2 feet…

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Q: Find the area of the shaded region. 21) 2- y = 2 2 sin(my

A: Since we are given with the multiple number of question and answered according to the guideline

Q: Which slope intercept form equation is equivalent to the standard form equation -x + 2y = -8? y =…

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Q: 6. (y -x + xy cot x) dx + x dy = 0 Answer: xy sin x = C + sin x - x cos. x.

A: We have to solve this question with exact formulation.

Q: Lionfish are considered an invasive species, with an annual growth rate of 67%. A scientist…

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Q: What is the inverse of the function f(x) = 3(x + 2)²-5, such that x < -2? OF-¹(x)=-2+. 3 5…

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Q: Given the functions f(x)=√x² + 49 and g(x) = x4 fog would be equal to? O√x +49 O√x¹ +49 Ogof (x²…

A: The given functions are fx=x2+49 and gx=x4

Q: udx + (1 - 3u)x du = 3u du.

A: I have stated the used formulas in the solution

Q: [° [² (5 x² + y²) dx dy

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Q: Use part I of the Fundamental Theorem of Calculus to find each derivative, given the following f(x):…

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Q: Calculate the double integral √ √(8x + 2y + 16) dA where R is the region: 0 ≤ x ≤ 1,0 ≤ y ≤ 4.

A: The objective is to evaluate the double integral.

Q: 4. Solve the triangles. a) a = 5, b = 7, c = 12 b) B= 25°, a = 41°, b = 170

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Q: Exams compri Question 6 a) Find parametric equations of an ellipse centered at the origin with major…

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Q: 3. [√1+√zdz

A: Given:             ∫1+zdz  Apply u-substitution             u=z+1→dudz=12zdz=2zdu       =2∫u23-udu…

Q: y = x² + 4, y = 2x + 4

A: Given:

Q: if y = (x - 1)(2-3x)² Determine the slope of the tangent at (1, 0) 0-1 01 0-5 05

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Q: Determine the slope of the tangent for: Y = ㅇ- O 0 을 -100 2+5 √ã at : (4, 을)

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Q: Let = [1, -1, 1], [-2, -1, 3] and = [-1, 2, 2]. Find (u ×7)•w: O-14 07 O 10 Does not exist

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Q: Given f(x) = 4x+3-2, what is f-¹(x)? Of ¹(x) = log4(x-3)+2 Of-1(x) = log4(x + 3)-2 Of(x) = log4(x-2)…

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Q: Find the volume of the solid generated by revolving the region about the y-axis. 3π 4 ‚ x = 0, y = -…

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Q: sec 0 sec 0 - cos 0 -de

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Q: This exercise uses the population growth model. A certain species of bird was introduced in a…

A: Let P be the population,t be the time and k be the growth constant. We know that exponential growth…

Q: Determine if the series  ∞ (−1)n − 1e8/n n = 1  converges by the Alternating Series Test. If the…

A: We have to test to determine if the series converges or diverges.

Q: Find the limit and determine if the function is continuous at the point being approached.

A: This question can be solved using the concept of limit and continuity.

Q: (7)x(+7) is equ ○₂(π × V) Ouv 027

A: Topic:- vector algebra

Q: Slope

A: We know that, A function, in mathematics, an expression, rule, or law that defines a relationship…

Q: Find the total surface area and volume of the solid object shown to the right. Use the key for s The…

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Q: 2ucot 2x

A: Please see the below picture for detailed solution.

Q: Using polar coordinates, evaluate the integral // sin(x² + y²)dA where R is the region 4 ≤ x² + y² ≤…

A: Concept: Dual integrals in polar space: An iterated integral in polar coordinates can be used to…