Given f(x, y) = 100x + 80y - 2x²- 4y² - xy Evaluate f(10, 9)

Q: Find the values of x, y and z that correspond to the critical point of the function: z = f(x, y) =…

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Q: . In the Gizmo, select sine wave so the parent function is f(x) = sin (x). A. The sine wave is a…

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Q: The graph of y = f(x) has f(5) = -3 and f'(5) = -3. Which of the following might be a graph of y =…

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Q: A ball bearing is placed on an inclined plane and begins to roll. The angle of elevation of the…

A: Given: The angle of elevation of the plane is θ= pi/9 The distance (in meters) the ball bearing…

Q: Solve using the elimination method. Also determine whether the following system is consistent or…

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Q: 2. Find the derivatives of each of the following functions. You do not need to simplify your answer.…

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Q: 31. The surface area of an inflating weather balloon is described by A(x) = 4x² - 1 where x is the…

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Q: Solve the differential equation y` = (196+ y)²

A: The given differential equation is: y'=196+y2

Q: Let f be the function with domain [1, 3], defined by f(x) = −x² + 3x. The function f has a global…

A: The answer is in step 2.

Q: - Find formulas for dy and Ay if y = x² − 7x + 4. **** dy Ay

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Q: 30. Given g(x) = 4x² + 1, use the difference quotient to find the instantaneous rate of change when…

A: Given function:- gx=4x2+1

Q: 5. Find the explicit solution of the given initial-value problem. dy e-x-ex dx 3+4y a) = y(0)=1 (b)…

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Q: Consi ider the ellipse 4x² + 2xy + 5y² The derivative = d on this curve is

A: Given: 4x2+2xy+5y2=149

Q: 10. The average rate of change of f(x)= x² + x over the interval 0 ≤ x ≤ 4 is a. 20 b. 4 c. 5 d. 1

A: f(x)=x2+xinterval is  0≤x≤4formula for average rate of change is favg=f(b)-f(a)b-a

Q: Find the limit. lim 0-0 cos(0) 1 sin (0)

A: Given limit limθ→0cosθ - 1sinθ

Q: Let f(x) = -12x sin(x) cos(x). f'(x) at x = ³7. 2 Evaluate ƒ'( ³ ) =

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Q: Use polar coordinates to find the volume of the given solid. bounded by the paraboloids z = 10 - x²…

A: The solution is shown below-

Q: Solve the equation y" +4y= S(t-4π), y(0) = 1/2, y'(0)=0

A: The given differential equation: y''+4y=δt-4π, y0=12, y'0=0

Q: 17x³ (In x)² dx =

A: The given integral is: ∫17x3 ln x2 dx

Q: 9. A ladder 25 feet long is leaning against the side of a house. The base of the ladder is pulled…

A: Note: Since, the student has mentioned to solve question no. 9, so we are  solving according to this…

Q: Locate all the critical points of the function f(x,y)=8x−x^2−4xy^2.

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Q: [√² √sec²z - 1

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Q: Given f'(x) = -9 sin(3x) and f'(0) = 2 and f(0) = 5. ƒ(7) Find f =

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Q: 2 √x (x + 1)² dx =

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Q: Verify that the two planes are parallel, and find the distance between the planes. (Round your…

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Q: Cost, revenue, and profit are in dollars and x is the number of units. The average cost of a product…

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Q: Suppose 1900 square centimeters of material is available to make a box with a square base and an…

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Q: Find the points on the cone ² = x² + y² that are closest to the point (5,4,0)

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Q: Solve using the elimination method. 0.2x 0.5y = 1.1 0.5x 0.2y = 1.7 (Hint: Since each coefficient…

A: 0.2x-0.5y=-1.1.....(1)0.5x-0.2y=-1.7..........(2)

Q: An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the…

A: We have given that height of the ball after t seconds is s=-2.7t2+30t+6.5

Q: For the following exercises, the vectors u and v are given. a. Find the vector projection w= proju v…

A: Given: u=5i+2jv=2i+3j

Q: Find all Singular points of the given differential equation then classify as Irregular Singular…

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Q: Estimating the Amount of Rust-Proofer Required A hemisphere-shaped dome of radius 55 ft is to be…

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Q: The equation of motion of a particle is s = t³ - 12t, where s is measured in meters and it is in…

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Q: Find the unique solution to the differential equation that satisfies the stated conditio dy In(x) dx…

A: given:differential equation dydx=lnxxy,  y1=6

Q: he given curve is rotated about the y-axis. Find the area of the resulting surface. y =  1 3x3/2,…

A: Given

Q: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. tan ¹ n A.…

A: Given;  A. an=tan-1n/n B. bn=Cosn.

Q: Question Graph the feasible region subject to the following constraints: 6x+8y > 208 x>8 y≥8

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Q: Evaluate ∫ ∫ √ (x2+ y2) dA where R is the portion of the annulus 1 ≤ x2 + y2 ≤ 16 with y ≤ 0 using…

A: We have to evaluate the double integral.

Q: Differentiate. h'(0) = h(0) = 0² sin(0)

A: Derivative

Q: 3√t-1 S (³√t=¹) dt

A: The given integral is:  ∫3t-1t dt

Q: As you walk through Gate 4, you realize that Gate 5 is nowhere to be found. In front of you lies an…

A: Here is the solution:

Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

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Q: 2 √x (x + 1) ² dx dx =

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Q: 8. Solve the following. (a) Find the equation of the tangent line to the graph of f(x) = x²-9 at x =…

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Q: you have to round it off and it will become 2.21

A: The final answer  A = 2.21875 sq units

Q: Expand the quotient by partial fractions. x² +5 X x2 - 5x + 6 2 x² +5 2 x -5x+6 (Simplify your…

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Q: do you know the formula for finding integrals

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Q: 14. The domain of the function is y 4 2 -4-20 2 4 x

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Q: Find the critical point of the function f(x, y) = 4+ 3x + 2x² − 4y − 2y² This critical point is a:…

A: Need to find out the critical point of the given function.