Find two positive numbers that satisfy the given requirements. (Enter your answers as a comma-separated list.) The product is 158 and the sum is a minimum. Need Help? Read It

Q: MULTIPLE CHOICE 1. Let f(x)=x-g(h(x)) where g(4) = 2, g'(4) = 3,h(3) = 4, and h' (3) = -2. Find ƒ'…

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Q: Find f'(x) using the QUOTIENT RULE if f(x) = 6-2² 3+x² f'(x) = Find f'(4). f'(4) =

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Q: II. For each of the following ellipses, find the center, principal axis, vertices, co - vertices,…

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

Q: Differentiate the following functions using any method. sin(√1-cos²x) cos³ (x) 1. y=

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Q: Find an equation for the plane that is tangent to the given surface at the given point. z= √y-x…

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Q: -4 y 8 5 (0, 3) a. x ≤ 5, y ≤ 6 b. x ≥ 5, y ≤ 6 c. x ≤ 5, y ≥ 6 d. x ≥ 5, y ≥ 6 -1 (0, 6) (5, 6)…

A: The answer is in step 2

Q: We usually write numbers in decimal form (or base 10), meaning numbers are composed using 10…

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Q: sin-1 1 5

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A: Topic = Volume

Q: 21. Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: dy If −5x² + y² = 5 then find at the point (2,-5) in simplest form. dx²

A: Given the equation: -5x^2+y^2=5

Q: . Let f(x) = (x² − 3)ex. Find all intervals where f'(x) is positive and all intervals where it is…

A: Please see the below picture for detailed solution.

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: Here we have to differentiate the function.

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: x² + 3x + 1 x² - 4 (c) / 2² (a) | dx x arctan x dx

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Q: 15 en vi - (-2) ₁² = (-3) - (2) ₁ - (-²), ₁² = V3 = = peform the indicated operations

A: Given query is to find the angle between V1 and V2.

Q: Find each limit, if it exists. (If an answer does not exist, enter DNE.) x7 +9 (a) lim X→∞ +8 - 8 x7…

A: Limits

Q: x+9 Find, lim x-1(x-1)²

A: Topic:- calculus

Q: The volume of a right circular cone of radius x and height y is given by 1 dy dx V = ²y. Suppose…

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Q: y = y" x Express y" in terms of x and y. (Use symbolic notation and fractions where needed.)…

A: Topic:- calculus

Q: Find the differential of the function z=e-xcos(y) dz=

A: Given query is to find the differential of the expression.

Q: Differentiate the following functions using any method. sin(√1-cos²x) cos³(x) 1. y=

A: Topic = Derivative

Q: 1. Calculate the derivative of y with respect to x. Express derivative in terms of x and y. e2xy =…

A: We are authorized to answer one question at a time, so we are answering the first one. Please repost…

Q: Sketch the graph of a function f having the given characteristics. (Select the correct graph.) f(0)…

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Q: V. Identify the value/s of x for which the corresponding function evaluation is true. Show complete…

A: Topic = Functions

Q: Find the direction N from P0(1,2) in which the function f=1−x^2−y^2 increases most rapidly and…

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Q: If - xy + y = -4 then find point (2, 4) in simplest form. dy dx² at the

A: We need to find out the double derivative of the function at (2, 4).

Q: YEG Write the value of the underlined digit. 3 2.675 Lat 4 804.721 aco.lll

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Q: 105x2,5 x 2

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Q: For the function f(z)=-2sin (-). determine its amplitude and period, and then graph it for two…

A: Given a the trigonometric equation of the sine wave, y=Asin(Bx+C)+D Amplitude is |A| Period is 2π|B|

Q: d) e) V₁.0₁ U4 = 0₁.03= V3 Round your answer to 3 decimal places. Round your answer to 3 decimal…

A: v1→=108-4=10i^+8j^-4k^v2→=-8-6-7=-8i^-6j^-7k^v3→=-13-9=-i^+3j^-9k^v4→=-7101=-7i^+10j^+k^

Q: = In this problem, we will approximate the value of the definite integral I the Trapezoid Rule. […

A: Concept: One of the significant integration rules is the trapezoidal rule. Because little trapezoids…

Q: Find the volume of the solid obtained by rotating the region A in the figure about y = -3. y=x² +b B…

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Q: Let Find f (A) (B) el 2 (7) -2x sin x + cos x (C) 1 (D) (E) -√2 (F) 0 (G) 2 (H) None of these

A: Given query is find indicated derivative.

Q: Use reference angles to evaluate sec (137). Enter the exact answers. For the number 7, either choose…

A: Given sec13π4

Q: Find lim f(x), where lim x→4 f(x)-5 X-4 X-2 = 13

A: We need to apply the limits to find the expected value

Q: Rewrite in the form -8x³ - 6x²-3x+7 2x - 1 Question Help: Message instructor Submit Question -8x3 -…

A: Topic:- algebra

Q: Find the extreme values of g(x, y) = x² + y² + x²y on the circle x² + y² : = 12 using the method of…

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Q: Prove that the answer for (y + 2x) dy + dx = 0 is: x=-y-+²e-²y

A: I am attaching image so that you understand each and every step.

Q: 260 EXERCISE Evaluate each of the following limits. 1. lim x ln x. 2-0 Ans. *0. 1. 3. lim x csc 2x.…

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

Q: f(x) = = 100 - 2x, x + 2 [-102, 8]

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Q: A farmer wishes to build a rectangular pen. They have 2,500 dollars to purchase the fencing. The…

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Q: If f is continuous and T f(x)dx=4,

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Q: dy 5) Find the general solution of the non-homogenous differential equation : da x+y+4 5x + 5y +3

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Q: IV. Given the functions f(x) = 2x+5, g(x)=x² - 6x +7, and h(x): = the following. Show complete…

A: Given, f(x)=2x+5, g(x)=-x2-6x+7, h(x)=3-6xx-4

Q: Calculate two iterations of Newton's Method to approximate a zero of the function using the given…

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Q: Find the maximum rate of change of f(p, q, r) = arctan(pqr) at the point (2, 6, 2).

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Q: If 4x² + 5x + xy 2 and y(2)= differentiation. = Question Help: Message instructor 12, find y' (2) by…

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0, 3)…

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that f(5) = 6, ƒ(6) = 2, ƒ'(6) = 6, ƒ'(5) = 12…

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