Find the distance between the pairs of points in exercises A) (0,0,0) and (2,-1,-2) B) (-1,-1,-1) and (1,1,1) C) (3,8,-1) and (-2,3,-6)

Q: g(x) = 10) Find the extrema for in [-5,-0.5] x² + 4x+4 X

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Q: Let -2x² + 6x - 3 for x 0. According to the alternate form of the definition of the derivative, to…

A: We will use properties derivative.

Q: The diagram shows three islands in a bay. You rent a boat and plan to visit each of these remote…

A: The diagram shows three islands in a bay. You rent a boat and plan to visit each of these remote…

Q: Solve the differential equation [x a. b. C. d. y tan-¹ (²2)] dx + x tan¯¹ (2/1) dy = 0 c²(x²+y²) 2x…

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Q: The derivative of f(x) = tan- is: Select one: O a. O b. O C. O d. 1 x² cos² 1 -1 x² cos² 1 xcos² 1 F…

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Q: 19) Find f' if f(x)= sec² x 83√x

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Q: Find the Riemann sum for f(x) = x² + 3x over the interval [0, 8] (see figure), where x₁ = 0, x₁ = 1,…

A: The given function fx=x2+3x over the interval 0,8 with x0=0, x1=1, x2=3, x3=7 and x4=8 Riemann sum:…

Q: given. Find the indicated trigonometri small lake. He has set up his transit o ross from a pier on…

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Q: II. Evaluate the following integrals: 7 ax 52X+7 13. [ sin x 2 - cosX (1x dx 14. S MA sec² 3x -dx 1…

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Q: y 200 150- (-3.75,93.75) 1000

A: increasing interval where slope increading

Q: QUESTION 4 Given the following function, find the values of f (5,2). x f(x,y) = 5 + xln(xy-9) O A.…

A: We can answer the question as below.

Q: 15 Lo - - dx 15 X (x + 1) ²/ O 0 O or| 800 88 O 1 O 176 5

A: The answer is 0.

Q: Based on the data shown below, calculate the regression line (each value to two decimal places) y =…

A: Based on the data shown below, to calculate the regression line.  x y 2 4.85 3 7.3 4 3.55…

Q: Determine the global extreme values of the f(x, y) = 8x - 2y if y ≥ x-5, y ≥ -x-5, y ≤ 3. (Use…

A: We will use graphical method yo solve this problem.

Q: onvert the following to rectangular coordinates and spherical coordinates. Do not evalua tegral.…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. 5 9…

A: Use formula of area of surface generated about y axis

Q: State the domain: -6 -4 -2 6 2- 0 -2 2 4 6

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Q: dy 4) Solve the differential equation - = sinx, y(x) = 2 dx

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Q: State the domain and range: -15. -10 -5 -10- LO 5 0 -5- 5

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Q: Verify the identity. cot tcsc t= 2 csct-1 cos t Which of the following three statements establishes…

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Q: Exercise. Find the curvat 1. R(t) = ti+t²j+t³k

A: R(t)=ti+t2j+t3k Curvature formula κ(t)=R'(t)×R''(t)R'(t)3

Q: 37) A straight trail with a uniform inclination of 11° leads from a lodge at an elevation of 700…

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Q: - (³77) 5³ where s denotes the length of the edge of the cube. Find ß. V(s) =

A: Concept: Cube: The whole three-dimensional area occupied by a cube is its volume. A cube is a solid…

Q: 13. What is the maximum value of the parabola ? 5 0 5 a) y = 3 b) x = 4.9 -Cr- 5 c) y = -1 d) There…

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Q: Convert the polar equation to a rectangular equation. Then use a rectangular coordinate system to…

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Q: Determine the type of function shown in the graph below. a) Linear function b) Quadratic function c)…

A: Here we have to choose the correct option.

Q: 2 6) Compute the area bounded by y² + 2y + 4 and y = 4.

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Q: State the domain: -8 -6 -4 -2 4- 2- 0 --2- 2 4 6 8

A: Solving the problem by finding the value of the domain of the given graph.

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

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Q: 1 1 X

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Q: Find all local extrema for f(x) = x²e²x Files Maximum file size: 20MB, maxin

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Q: С 20 3x-1 хр. -X (3+3 (2) j² dx a Лх lo XS хр sự X Сў-12.d:

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Q: or the equation, find the slope m and y-intercept (0, b) (when they exist). (If an answer does not…

A: An equation of the form y=mx+c called slope intercept form of line where slope = m and y-intercept =…

Q: If the vector equation of a line is 7=(3, -5)+t(-2, 3), t€ R. the parametric equations are Ox=3-2t,…

A: Topic:- application of geometry

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: QUESTION 10 Use cylindrical coordinates to evaluate the integral below. √x² + y²dv, where E is the…

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Q: y=8x-x³ 12) Where is the function concave down?

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Q: Suppose that a population grows according to the unlimited growth model described by the…

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Q: Question 7 (1 point) ✓ Saved The point (1, 2, 4) is on the line 2+³ = 1+4 = 25 True False

A: We have given equation of the line x+35=y+44=z+53 Put x=1,y=2,z=4 1+35=45 Similarly, 2+44=64=32…

Q: 1. S(√t -√√² + √√³) dt

A: solution ) ∫ ( t - t2 3 +t35 ) dt = ∫ ( t1/2 - t2/3 + t3/5 ) dt  we know that  ∫xn = xn+1/n+1  = (…

Q: Evaluate the limit, using L'Hôpital's Rule if necessary. (If you need to use co or-co, enter…

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Q: Write the complex number in polar form with argument between 0 and 2. -1-√√3i

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Q: 5. S (2x+1) dx (x+4)6(x-3)6

A: ∫2x+1(x+4)6(x-3)6dx

Q: 2y-5x=0 3y+4x=0

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Q: Find dy. dx Please, expert, I do not have much money. Solve as many questions as possible, please…

A: To find the derivative of the given functions.

Q: Duffer McGee stood on a hill and used a nine iron to hit a golf ball that reached a maximum height…

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Q: fferent rotations are called ard position by an integer multiple of resul an angle in standard…

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Q: 6. Which of the following expresses (3√32 + √√8 ) in simplest form ? a) 3√40 b) 6√10 c) 3√2 d) 14√2

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Q: II. Evaluate the following integrals: 1 2. fg x + 3 dx 8x+3 1. dx f X 4. - X +1 1 ₂2x+7 7. ƒ (2+ In…

A: as per company guidelines we solve only first three subparts when multiple parts question being…

Q: Relevant Relationship: There is a functional relationship between Price of an IPod Touch,p and…

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