Find the linearization L(x,y) of the function at each point. f(x,y) = x² + y² +1 a. (1,1) b. (41)

Q: you know that a sphere has the equation of  x^2 + y^2 +z^2 -6x +4z =3 are the following points…

A: The equation of sphere is:-Now add 9 and 4 both side:-

Q: For what value of b does the limit b = exist? What is the value of the limit? b = b b b = = lim x→→2…

A: Limx--2(6x3+5x2-12x+b)/(x2+x-2) Find the value of b and the limit.

Q: 7x+3y-4z+8=0, determine: 6. For the plane (a) its z-intercept. (b) one vector equation of the plane.

A: X/a + y/b + z/c = 1 is intercept form of plane

Q: (b) Describe the relationship between each pair of planes, and determine any intersection: (i)…

A: (i)Here we have given a equations of pair of plane.Now, comparing their coefficients and constants…

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A: We have,  f(x) = √(x+4) /ln(9-x)

Q: lim t→0 4t² + 3t sin t +2

A: To evaluate the following limit.

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Q: Find the derivative of h(x) 3 4 sin x COS X sin x COS X 2 COS X 1+ sin x - 3 cos²x (1 + sin x)³ 2…

A: To find the derivative of .

Q: Find the derivative of y = (cos x)* y' - -x sin x y! = COS X + In (cos x)| (cos x)* y' = x(cos x)x−¹…

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Q: A ball of radius 12 has a round hole of radius 4 drilled through its center. Find the volume of the…

A: A sphere is given having a hole and we need to find out the volume of the resulted solid.

Q: 10. In quadrilateral ABCD, M and N are midpoints of AB and CD respectively. X is the midpoint of MN.…

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Q: Let f(x) = 11x³ over the interval 0 ≤ x ≤ 1. Set up the integral for the surface area generated by…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Calculus [The following integral can be solved in several ways. What you will do here is not the…

A: By using the trigonometric substitution , to evaluate the following integral.

Q: Find the value(s) of k such that the function f(x) is continuous on the interval (-∞o, co). (Enter…

A: Given:We are required to:

Q: We will evaluate the following improper integral: I [ª da (22+4)2 First we will do the indefinite…

A: We solve this integration problem by using general property of integral.

Q: sketch and find the area of the plane region bounded by the given curves y = (x²-1)², y=1-z²

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Q: (A) Find the average value of the function over the indicated interval. (B) Graph the function and…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

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Q: Points 2₁ and 2₂ are shown on the graph. 5 2 -9-8-7-6 -5 -4 -3 -2 -1 -1 -2 -5 -7 Imaginary Axis 21…

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Q: Southern Traditions sold the home decor division of their company 5 years ago and immediately…

A: Given:We are required to find:

Q: What is the limit lim x→3 √x³ - 2-5 x - 3 3 27 10 9 10 +∞ Does not exist ?

A: Given

Q: At which of the five points on the graph in the figure are first and second derivative both…

A: We need to choose the point at which both 1st and 2nd derivative is positive.

Q: ←++ -10-9-8-7 (If the limit does not exist, enter Ø.) 10 9 8 7 6 5- 4+ 3+ 2+ 1+ -3+ Y -4- II T ст н…

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Q: 2. Determine the derivative of the function f(x) = 2e* cos³ x. Leave answers in simplified factored…

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Q: Given the function below, evaluate and simplify f(a + b). 2x x² + x (A) / (B) a a+b f(x) = (C) 2…

A: The objective of the question is determine the function f(a+b).

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. 10 9 8- 7- -6- 5- -1 0 N. -3…

A: (i) To estimate the slope of the tangent line to the curve in the following figure.(ii) To estimate…

Q: the

A: Solving the problem

Q: Convert the rectangular coordinates (-5, -5√3) to polar coordinates, (r, e), where r is positive and…

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Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 1. R is the…

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Q: 9. Determine the exact point on the line x + 2y = 2 that is closest to (0, 0).

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Q: On the grid below, sketch the graph of an example of a function f that satisfies all of the given…

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Q: 2. Find the angle between the pair of planes. I 1:x+2y+3z +1=0, 2:3x +2y+z+2=0

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Q: Suppose f(x) and f'(x) have the values shown. X 0 1 2 3 f(x) 10 8 9 7 f'(x) 7 8 6 4 5 4 3 لا Let y³…

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Q: 5. The vertices of parallelogram ABCD are: A(3, -2, 4), B(-2, 0, 5), C(3, -5, -4) & D(x, y, z). a)…

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Q: Prove the formula for d dx d [arccos x] in the same manner used for [arcsin x] in class. dx

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Q: Convert the rectangular coordinates of each point to polar coordinates. Use degrees for 0. 5. (√3,3)…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Determine if the improper integral converges and, if so, evaluate it. dx -2 (x+10) ³/2 Write F if…

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Q: (3x² +9xy) dx+ (2x² + 2y) dy 20

A: The differential equation  is said to be exact differential equation if The solution of the…

Q: x1 x³ - 1 D)] sin x - cos x 13. tan x - 1 Svig SIUSI PH e21 HI -1 15. lim lim x→/4 We

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Q: 23. √x dx 25. L sin Ꮎ dᎾ J0/6 dx 24. fx-2/36 ·L₁7 dx 26.

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Q: If you were given a conic section in general form, how would you determine what type of conic…

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Q: Hi what is the final answer you didn't attach the answer you can see the answer is not shown here

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Q: Consider the following. f(x, y) = 4y У4 2 1.² y = 3x - x² 70 D y = x (a) Express the double integral…

A: Given,  then we have to answer the following...

Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 9. R is the…

A: We are required to find:

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Q: Find the measure of in degrees. If necessary, round to four decimal places. 17 12

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Q: 27. (u + 2)(n-3) du 29. f. 2+² dx 28. f*(4-1)√1 dt 30. f²₁ (3u-2)(u + 1) du

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Q: 38. f, f(x) dx where f(x) - -{-x if -24x50 4-x² if 0<x<2

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Q: 1) Consider the function z = x² sin(ny) +; xy² a. Find the partial derivatives. b. Find the tangent…

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