ind all the relative extrema and saddle points, if any, of the given function below: f (x, y) = ln(x – y) + x² + y

Q: Determine the area of the given region. y = x + sin x y 4 3

A:

Q: 1 dx X +x13

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Q: 1. The complex numbers s and t ar as follows: s = 3+i, t= 2 – 3i Calculate the following. a) st +5…

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Q: 4) 4+ 3+ -5 -4 -3 -2 3 4 5 r -2+ -3+ -4+ 2.

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Q: Convert the following parametric curve into Cartesian form: * = 3 sin t, y = 4 sin t None of these.…

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Q: 8. Find y'ifys34-7x+2)+4%-2

A: Differentiation

Q: 7 Determine the intgral

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Q: 24. (EXERCISE) Consider the function f(x)=3x* – 20x' + 42x² – 36x

A: The given function,   f(x)=3x4-20x3+42x2-36x

Q: A line is given by the equation y = x in rectangular coordinates. V3 Which of the following…

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Q: 850 b. 450

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Q: Sketch the region bounded by the graphs of the following functions and find the area of the region.…

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Q: Maximum Oil Production It has been estimated that the total production of oil from a certain oil…

A: given : Total oil production T(t) = −1000(t + 11)e−0.1t + 11,000   Production at time t given by

Q: Differential Equations Please answer as soon as possible, i'll upvote (a) Find a particular solution…

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Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

A: Given query is to find the series converges or diverges.

Q: 12 Let y24xー4x+3 le) Find the eauetion.of the tangent Iine to the graph of the fuuction att x-2; O…

A: We have to find tangent line

Q: 20. The length of a rectangle is increasing at a rate of 5 cm/sec and the width is decreasing at a…

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Q: The equation of the line passing through the point (– 3, 7) with slope zero. A. x = -3 C. x = 7 D. y…

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Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx. Write the given…

A: To find out the value of integral using the midpoint rule.

Q: Find the area of the surface obtained by rotating the curve of parametric equations T = 2 cos 0, y =…

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Q: 6. Compute and write the slope of the tangent lines to dx y - xy +6 = 0 at the point (5,2). a. b. 2y…

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Q: Let f(x) = Vx? + 9. Then f'(x) is f'(1) is f"(x) is and f'"(1) is

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Q: 4 (2, 4) y = 2x y = x? Using a vertical element of area, the area of the shaded region is given by…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Let h(x) = tan (2x + 6). Then h'(2) is and h'(2) is

A: topic- functions and derivatives

Q: 9.

A: Given,  y=2x+x4-9x+3

Q: 4. A live oak tree casts a shadow 58 feet long, Find the height of the tree if the angle of…

A: Here is the solution:

Q: Determine whether the series is convergent or divergent. If it is conve 00 2 (cos(26))k k = 1 Step 1…

A: Cos (26)= 0.647 Convergent Find the sum of series

Q: Find the area between the curves f(x) = x2+2x+1 and g(x) = x+1

A: We need to find area between given curves.

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A:

Q: 2. Write the given (total) area as an integral. a. The area above the x – axis and below y = 4 – x2…

A: Let's find.

Q: ea da (ea + 1)Ve2a + 2eª

A: Given

Q: Find the nth term of the arithmetic sequence (a wh a, = 4; d = What is the nth term of the…

A:

Q: 10. Find the area bounded by 2. Hhe curves y=8x-x²0ind y=3x

A: topic - area bounded by curves

Q: If x= tane , then dr = coso de . (1+x?)½ A True B) False

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Q: Type the correct answer in each box. Create a matrix for this linear system: (3x+2y+z D26 I-4y -11…

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Q: Use Laplace transforms to solve the following initial value problem S y( (t) – y(t) = 8 (t) y(0-) =…

A: We need to find out laplace transform of the initial value problem, which is described in step 2 .

Q: 5 2 dr = dr- 0 (x²+9)½ /(6+zx) 0, 's (x²+9)½ * A) True B False

A:

Q: integral

A: We will solve the definite integral.

Q: Csin $ 3 y cos*3 ychy

A:

Q: Evaluate the definite Integral. Use a graphing utility to vertfy your result. dx Step 1 To evaluate…

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Q: Find lim, x4x+3 X-5x+6 X-X

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

Q: Find the absolute minimum and maximum value for the function on the given interval f (x) = x – 3x2 +…

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Q: y = x/x, x = 4, and y = 0 ... Revolve the area of the shaded region about the x-axis. Using circular…

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Q: TUTOR %3D for the function

A: The given equation is: 4x2+x3y+y2=6...(1) To find the slope, that is dydx, at Q(-1,2)

Q: The three basic trigonometric substitutions are in the table below. Integral Contains Try using…

A: We will solve the integration.

Q: Find the length of the curve. 8) The spiral = e20, 0 s 0 s Ti r

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Q: 8. Find the limit: lim E1(1 130 noisieoq Isisinle bna baoes 1aq d00

A: The detailed solution is given below Thank you

Q: 26 State the Fundamental Theorem of Calculus . you must state the first and the second fundamental…

A: On solving this we will get

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) (1 + x)3 Σ 00 f(x) n =…

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Q: (А) True B) False

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Q: Find div F and curl F if F(x, y, z) = 14y°z4i – 3x°z+j – 3xy'k. %3D div F= curl F=

A: Given that,Fx,y,z=14y6z4i-3x3z4j-3xy3k