Locate all relative maxíma, relative miníma, and saddle points, if any. f(x,y) = 8x² + xy - 3y - 6x + 2 f at the point (i ).

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Our Aim is to find the inverse Laplace Transform of the function given below:-L-14s-8s2+ss2+1-(i)

Q: Find F as a function of x and evaluate it at x = 2, x = 5 and x = 7. -L₂₁ (t²³ + 6t-2) dt F(x) = =…

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Q: Find the third, fourth, and fifth partial sums of the series. Σ(3) j = 1 (a) third partial sum (b)…

A: The given series is ∑i=1∞12i

Q: a definite integral to find the area under the curve between the given x-values. 1 VX f(x) = from x…

A: Please refer to the image below

Q: Find the area of the region. Use a graphing utility to verify your result. √3x · V√x+1 y 50 40 30…

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Q: 6. A spaceship moving away from earth with speed 0.90c fires a robot space probe in the same…

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Q: Find the indefinite integral. (Use C for the constant of integration.) (15. (15x38x) dx

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Q: (4) Draw the graph of the function f(x) = 2¹. (5) Draw the graph of the function f(x) = 3.

A: Consider the functions 4)     f(x)=2x5)     f(x)=3x

Q: A manufacturer can produce 5130 cell phones when a dollars is spent on labor and y dollars is spent…

A: Topic- Implicit differentiation

Q: Find a degree 3 polynomial that has zeros -3, 2 and 5 and in which the coefficient of ² is - 12. The…

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Q: Evaluate (2x² - 4x + 1)² dx. √

A: Given data:- ∫x32x3-4x+12dx

Q: I. Solve for the General or Particula 1. dy dx = 3x+xy² y+x²y

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Q: Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places.…

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Q: A tank initially contains 100 gal of brine in which 30lb of salt are dissolved. A brine containing…

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Q: Use Green's Theorem to evaluate the line integral. by² dx + xy c C: boundary of the region lying…

A: The objective of the question is evaluate the definite integral using Green's Theorem.

Q: A plane flies at a speed 540 km/hr at a constant height of 10 km. How rapidly is the angle of…

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Q: 2 Consider the function f(x) = x+61 3. (a) Find the domain of f(x). Note: Use the letter U for…

A: "since you have posted a question with multiple subparts , we will solve first three subparts for…

Q: Complete the squares and locate all absolute maxima and minima, if any, by inspection. Then check…

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Q: There is no solution, {}. O The exact solution set is x2

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Q: If a ball is thrown vertically upward from the roof of a 64 foot tall building with a velocity of 80…

A: Let's find maximum height and velocity of ball at ground.

Q: 1. Show the limit lim (r.y) ›(0,0) I 6 +y² does not exist

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Q: Find the vertical asymptote(s), if any, of the function below. If there are none, select "none" for…

A: We have to find the vertical asymptote.

Q: Find the specified nth term in the expansion of the binomial. (x - y)², n = 2

A: We need to find nth term.

Q: Recall that cos(bt) = = 1 -(eibt - e-ibt). Use the linearity of the Laplace transform to find the…

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(), speed…

A: Given r(t)=etcos(t), etsin(t), et

Q: Find the average value of the function on the given interval. ) = ¹ on [1, 5] X f(x) =

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Q: Find a polar x² + y² = 2y

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Q: Find the Maclaurin series for the following function: f(x) = x cos(5æ) 18 8 8 8 n=0 n=0 n=0 n=0…

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Q: 5. The moon is 3476 km in diameter. What radius of curvature should a concave mirror have if it is…

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Q: A deposit of $2000 at 5% interest compounded continuously will grow to V(t) = 2000e0.05t dollars…

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Q: 22. Here is the region of integration of the integral ILS c. dx dy dz e. dz dx dy. (0, -1, 1) (1,-1,…

A: Given data:- Region of integration of the integral ∫01∫-10∫0y2dzdxdy

Q: Find f" (1) when f(x) = x² − 3x³ + 2x² +10. Round your answer to three decimal places, if necessary.

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Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let / be a function defined for t20. Then…

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Q: Find a second-degree polynomial P such that P(1) = 3, P'(1) = 2, and P"(1) = 4. P(x) =

A: Given problem:- Find a second-degree polynomial P such that P(1) = 3, P'(1) = 2, and P"(1) = 4.

Q: Price ($/gal) Demand (million of gal.) 1 790 1.2 700 1.4 640 1.6 580 1.95 497 2.2 450 2.4 430 2.6…

A: NOTE: Refresh your page if you can't see any equations. . you have already found the supply function…

Q: For what values of x does the graph of f (x) have a horizontal tangent? (Round the answers to three…

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Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = (3t-1)³ L{f(t)}

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Q: A manufacturer can produce 2700 cell phones when a dollars is spent on labor and y dollars is spent…

A: Given problem:- A manufacturer can produce 2700 cell phones when a dollars is spent on labor and y…

Q: Find the curvature K of the curve, where s is the arc length parameter. M03 - (1+²)+(1-2) r(s) K =

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Q: Find the absolute extrema of the function on the closed interval. f(x) = 3x²+2, [1, 2] (x, y) =…

A: We want to find extrema

Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

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Q: Assume that I and y are both differentiable functions of t and are related by the equation y = cos…

A: The equation is given as , y=cos5x and dxdt=-4 when x=π10 find dydt when x=π10.

Q: Obtain the particular solution. y' = x exp(y-x²) ; when x = 0 , y = 0.

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Q: did i type this in right?

A: Yes you need to type 3t2+6 in the box.

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices:…

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Q: = A point P is moving along the line whose equation is y 4x. How fast is the distance between P and…

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Q: Use sigma notation to write the sum. 1 7 (2) + 7 (3) j = 1 1 7(1) + 1 7(10)

A: The given sum 171+172+173+.....+1710

Q: Find the standard form of the equation of the ellipse with the given characteristics. y 10 2 N 4…

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Q: Verify that has an Inverse function. Then use the function f and the given real number a to find…

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Q: Select the graph which satisfies all of the given conditions. Justify your answer in terms of…

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